RISE Placement Test — Questions and Answers

Question 1: Which behavior supports the idea that elephants are emotionally intelligent?

Mourning dead herd members (Correct answer)
Remembering water locations
Traveling long distances
Eating plants

Correct answer: Mourning dead herd members

Mourning is an emotional response, which supports the claim about elephants' emotional intelligence.

Question 2: Which of the following is the correct factorization of the polynomial 9x² - 49?

This polynomial cannot be factored.
(3x - 7)²
(9x - 7)(x + 7)
(3x - 7)(3x + 7) (Correct answer)

Correct answer: (3x - 7)(3x + 7)

This polynomial is a difference of two squares, which follows the pattern a² - b² = (a - b)(a + b). In this case, a² is 9x², so a = 3x. And b² is 49, so b = 7. Applying the formula, the factorization is (3x - 7)(3x + 7).

Question 3: When a passage has no clear topic sentence, what is the best strategy for finding the main idea?

Choose the longest sentence as the main idea
Ask: what do all the details have in common, and state that in your own words (Correct answer)
Assume the last sentence is always the main idea
Skip the passage and look for headings only

Correct answer: Ask: what do all the details have in common, and state that in your own words

When no topic sentence exists, readers must synthesize the details to infer the unstated central point.

Question 4: Two paragraphs present opposing views on school uniforms. What is the primary purpose of this text structure?

To show both sides of a controversial issue (Correct answer)
To entertain students with a debate story
To prove that uniforms are necessary
To describe the history of school dress codes

Correct answer: To show both sides of a controversial issue

Presenting opposing viewpoints is a compare-and-contrast or pro/con structure meant to give the reader a balanced view of a debated topic.

Question 5: Someone posts on social media: 'Another Monday, another opportunity to pretend I enjoy spreadsheets.' What is implied?

The person is applying for a new accounting job.
The person genuinely loves working with spreadsheets.
The person dislikes their work but continues doing it. (Correct answer)
The person is asking for help with spreadsheet skills.

Correct answer: The person dislikes their work but continues doing it.

The word 'pretend' reveals the true feeling — the person dislikes spreadsheets but does the work anyway.

Question 6: What is the median of the data set: 3, 7, 9, 2, 5, 8, 1?

9
5 (Correct answer)
3
7

Correct answer: 5

Arranging in order: 1, 2, 3, 5, 7, 8, 9 — the middle (4th) value is 5.

Question 7: Which of the following correctly classifies the polynomial 8x³ - 12x + 5 by its degree and number of terms?

Cubic Trinomial (Correct answer)
Quadratic Binomial
Quadratic Trinomial
Cubic Binomial

Correct answer: Cubic Trinomial

The degree of a polynomial is determined by the highest exponent of the variable, which is 3 in this case, making it 'cubic'. The number of terms is found by counting the parts separated by plus or minus signs. There are three terms (8x³, -12x, and 5), which makes it a 'trinomial'. Therefore, the polynomial is a cubic trinomial.

Question 8: Find the product of (2x - 1) and (x² + 3x - 5).

x² + 5x - 6
2x³ - x² + 3x + 5
2x³ + 5x² - 13x + 5 (Correct answer)
2x³ + 7x² - 7x + 5

Correct answer: 2x³ + 5x² - 13x + 5

To multiply a binomial by a trinomial, distribute each term of the binomial to every term of the trinomial. First, multiply 2x by the trinomial: 2x(x² + 3x - 5) = 2x³ + 6x² - 10x. Next, multiply -1 by the trinomial: -1(x² + 3x - 5) = -x² - 3x + 5. Finally, combine the like terms from both results: 2x³ + (6x² - x²) + (-10x - 3x) + 5 = 2x³ + 5x² - 13x + 5.

Question 9: In a short story, a character stares at an empty chair at the dinner table and silently sets an extra plate. What is most likely implied?

The character is confused about how many people will attend.
The character enjoys having extra dishes.
The character is grieving someone who is no longer present. (Correct answer)
The character is expecting a surprise guest.

Correct answer: The character is grieving someone who is no longer present.

Setting a plate for an absent person at an empty chair is a classic symbol of grief or longing.

Question 10: If 2x−4=10, what is the value of 𝑥?

8
4
5
7 (Correct answer)

Correct answer: 7

First, add 4 to both sides: 2x=14. Now divide both sides by 2: x=7.

Question 11: A restaurant review reads: 'The portions were generous and the prices reasonable, though the service left something to be desired.' What is implied?

Everything about the restaurant was excellent.
The food and value were good, but the service was poor. (Correct answer)
The reviewer will not return because of high prices.
The service was the best part of the experience.

Correct answer: The food and value were good, but the service was poor.

'Left something to be desired' is an indirect way of saying service was inadequate.

Question 12: What is the circumference of a circle with a radius of 7 units? (Use π ≈ 3.14)

43.96 units (Correct answer)
21.98 units
87.92 units
153.86 units

Correct answer: 43.96 units

Circumference = 2πr = 2 × 3.14 × 7 = 43.96 units.

Question 13: A rocket is launched into the air, and its height in feet at time t (in seconds) is given by the function h(t) = -16t² + 96t. What is the maximum height the rocket reaches?

96 feet
144 feet (Correct answer)
160 feet
3 feet

Correct answer: 144 feet

The graph of this quadratic function is a downward-opening parabola. The maximum height occurs at the vertex. To find the time (t-coordinate of the vertex), use the formula t = -b / (2a). Here, a = -16 and b = 96. So, t = -96 / (2 * -16) = -96 / -32 = 3 seconds. To find the maximum height, substitute this time back into the function: h(3) = -16(3)² + 96(3) = -16(9) + 288 = -144 + 288 = 144 feet.

Question 14: A story describes a neighborhood where 'all the houses look the same, and nobody waves hello anymore.' What is implied?

The neighborhood is new and people haven't met yet.
The neighborhood has lost its sense of community and individuality. (Correct answer)
The residents prefer privacy, which is respected.
The neighborhood is undergoing renovation.

Correct answer: The neighborhood has lost its sense of community and individuality.

Uniform houses and absent greetings together imply a loss of personal identity and community connection.

Question 15: What is the difference between a fact and an opinion in a passage?

Opinions are always incorrect
Facts use formal language; opinions use casual language
Facts can be verified objectively; opinions express personal judgments (Correct answer)
Facts are always shorter than opinions

Correct answer: Facts can be verified objectively; opinions express personal judgments

A fact is a verifiable statement that can be proven true or false, while an opinion reflects a personal view or interpretation.

Question 16: A writer wants to check whether a paragraph has a clear main idea. What is the most effective self-editing question to ask?

'Did I include at least three quotations?'
'Can I state in one sentence what this entire paragraph is about?' (Correct answer)
'Does every sentence use strong action verbs?'
'Is the paragraph exactly five sentences long?'

Correct answer: 'Can I state in one sentence what this entire paragraph is about?'

Being able to summarize a paragraph in one sentence confirms that a clear, unified main idea exists.

Question 17: When evaluating a website as a source, which domain extension generally signals the highest credibility for academic research?

.org
.edu (Correct answer)
.com
.net

Correct answer: .edu

The .edu domain is reserved for accredited educational institutions, making it generally more reliable for academic research.

Question 18: A researcher wants to survey 200 students about lunch preferences and randomly selects students from an alphabetical list at every 10th name. This is an example of:

Convenience sampling
Systematic sampling (Correct answer)
Random sampling
Stratified sampling

Correct answer: Systematic sampling

Selecting every nth item from a list is the defining feature of systematic sampling.

Question 19: A cylindrical water tank has a radius of 3 feet and a height of 10 feet. Approximately how many cubic feet of water can it hold? (Use π ≈ 3.14)

282.6 (Correct answer)
94.2
188.4
376.8

Correct answer: 282.6

Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cubic feet.

Question 20: Which equation has roots x = 4 and x = −1?

x² − 5x + 4 = 0
x² + 3x − 4 = 0
x² + 5x − 4 = 0
x² − 3x − 4 = 0 (Correct answer)

Correct answer: x² − 3x − 4 = 0

(x−4)(x+1) = x² − 3x − 4 = 0 has roots x = 4 and x = −1.

Question 21: When a source uses emotionally charged language and one-sided arguments, this is a signal of:

High academic credibility
Strong analytical writing
Effective use of pathos in peer-reviewed work
Possible bias that requires scrutiny (Correct answer)

Correct answer: Possible bias that requires scrutiny

Emotionally loaded or one-sided language often indicates bias, which researchers must recognize and account for when using the source.

Question 22: A number is multiplied by 8, then 12 is subtracted, giving 36. What is the number?

4
7
6 (Correct answer)
9

Correct answer: 6

Let n × 8 − 12 = 36; n × 8 = 48; n = 6.

Question 23: What is 7²?

12
49 (Correct answer)
14
56

Correct answer: 49

7² means 7 multiplied by itself: 7×7=49.

Question 24: Which of the following expressions is equivalent to (3x⁻⁴y⁵) / (x²y⁻²)?

3x⁻⁶y³
3x²y⁷
3y⁷ / x⁶ (Correct answer)
3y³ / x⁶

Correct answer: 3y⁷ / x⁶

To simplify the expression, use the quotient rule for exponents, which states that xᵃ/xᵇ = xᵃ⁻ᵇ. For the x terms: x⁻⁴ / x² = x⁻⁴⁻² = x⁻⁶. For the y terms: y⁵ / y⁻² = y⁵⁻⁽⁻²⁾ = y⁷. The expression becomes 3x⁻⁶y⁷. A negative exponent indicates a reciprocal, so x⁻⁶ moves to the denominator to become x⁶. The final simplified expression is 3y⁷ / x⁶.

Question 25: Read the following sentences from an article about a new city park: 1. The new park, located on Elm Street, officially opened to the public on June 1st. 2. In my opinion, it is the most beautiful and enjoyable public space in the entire state. 3. The park features a playground, a splash pad, and three miles of walking trails. 4. Every resident should visit the park to experience this wonderful new community asset. Which sentence is a statement of fact?

Sentence 1 (Correct answer)
Sentence 2
Sentence 4
Sentence 3

Correct answer: Sentence 1

Sentence 1 is a statement of fact because it contains information that can be objectively verified as true or false, such as the park's location and opening date. Sentences 2 and 4 are opinions, indicated by phrases like "In my opinion" and subjective words like "beautiful," "enjoyable," and "wonderful." Sentence 3 is also a statement of fact, but the question only allows one correct answer and Sentence 1 is a valid choice. However, questions on exams are usually structured to have only one indisputably correct option, making Sentence 1 the best answer as it represents a verifiable event.

Question 26: A friend texts: 'I would've called you sooner, but things have been... complicated.' What is implied?

The friend prefers texting over calling.
The friend has been very busy with good news.
The friend forgot your phone number.
The friend has been going through a difficult situation. (Correct answer)

Correct answer: The friend has been going through a difficult situation.

The ellipsis and the word 'complicated' imply something difficult or painful that the friend is hesitant to explain.

Question 27: Which of the following represents a function?

{(1,2),(2,3),(3,4)} (Correct answer)
x² + y² = 9
{(1,2),(1,3),(2,4)}
A circle centered at the origin

Correct answer: {(1,2),(2,3),(3,4)}

A relation is a function if each input (x-value) maps to exactly one output, which only {(1,2),(2,3),(3,4)} satisfies.

Question 28: You are researching the history of the United States electoral college. You find two sources. Source A is a chapter from a university textbook published in 2023, written by a history professor, which explains the origins and functions of the electoral college. Source B is a letter to the editor in a local newspaper from 1985, written by a concerned citizen arguing for the abolition of the electoral college. Which statement provides the best analysis of these two sources for your research?

Source A is a secondary source that provides an objective, scholarly overview, while Source B is a primary source that reveals a specific viewpoint from a particular time. (Correct answer)
Both sources are equally reliable and useful for understanding the facts of the electoral college.
Source B is more useful because it is a primary source reflecting a historical opinion.
Source A is less reliable because it was written so long after the events it describes.

Correct answer: Source A is a secondary source that provides an objective, scholarly overview, while Source B is a primary source that reveals a specific viewpoint from a particular time.

This statement accurately identifies and analyzes both sources. Source A, a modern textbook, is a secondary source designed to provide a comprehensive and objective explanation. Source B, a historical letter, is a primary source that offers valuable insight into public opinion and debate at a specific point in the past, but it is also biased by its nature as an argument.

Question 29: Which mixed number equals 11/4?

3 3/4
3 1/4
2 1/4
2 3/4 (Correct answer)

Correct answer: 2 3/4

11 ÷ 4 = 2 remainder 3, so 11/4 = 2 3/4.

Question 30: Read: 'Many Americans skip breakfast, opting instead for coffee or nothing at all. Studies show that skipping breakfast is linked to lower concentration and poor academic performance.' What is the main idea?

Skipping breakfast is a common but harmful habit. (Correct answer)
Americans have unhealthy dietary habits in general.
Schools should provide free breakfast programs.
Coffee is a poor substitute for a healthy meal.

Correct answer: Skipping breakfast is a common but harmful habit.

The passage establishes that skipping breakfast is common and then explains the negative consequences, making that the central point.

Question 31: Which of the following is the strongest indicator that a website is a credible source of health information?

The site sells no advertising
The content is reviewed by licensed medical professionals and cites peer-reviewed studies (Correct answer)
The site has millions of monthly visitors
The site uses a clean, professional design

Correct answer: The content is reviewed by licensed medical professionals and cites peer-reviewed studies

Expert review and citation of peer-reviewed research are hallmarks of credible health information, unlike popularity or aesthetics.

Question 32: If a rectangle has a length of 8 meters and a width of 5 meters, what is its area?

50 square meters
40 square meters (Correct answer)
35 square meters
60 square meters

Correct answer: 40 square meters

The area of a rectangle is given by length×width. Thus, 8×5=40 square meters.

Question 33: Which of the following is an example of a run-on sentence?

I went to the store I bought some milk. (Correct answer)
I went to the store, and then I went to the bank.
I went to the store, but I forgot my wallet.
I went to the store, and I bought some milk.

Correct answer: I went to the store I bought some milk.

A run-on sentence occurs when two independent clauses are joined without proper punctuation or conjunction. This sentence should be separated with a period or comma.

Question 34: If y varies directly with x and y = 45 when x = 9, what is y when x = 15?

75 (Correct answer)
27
60
90

Correct answer: 75

The constant of variation k = y/x = 45/9 = 5, so y = 5 × 15 = 75.

Question 35: Which element is NOT typically evaluated using the CRAAP framework?

Reading level of the source (Correct answer)
Relevance (applicability to your topic)
Authority (author's credentials)
Currency (timeliness)

Correct answer: Reading level of the source

The CRAAP test evaluates Currency, Relevance, Authority, Accuracy, and Purpose — reading level is not one of its criteria.

Question 36: Which measure of central tendency is most affected by an extreme outlier in a data set?

Median
Mean (Correct answer)
Mode
Range

Correct answer: Mean

The mean uses every data value in its calculation, so an extreme outlier pulls it significantly higher or lower.

Question 37: Simplify the rational expression: (x² - 9) / (x² + 7x + 12)

Already simplified
-9 / (7x + 12)
(x - 3) / (x + 4) (Correct answer)
(x + 3) / (x + 4)

Correct answer: (x - 3) / (x + 4)

To simplify the rational expression, factor both the numerator and the denominator. The numerator, x² - 9, is a difference of squares and factors to (x - 3)(x + 3). The denominator, x² + 7x + 12, factors to (x + 3)(x + 4). The expression becomes [(x - 3)(x + 3)] / [(x + 3)(x + 4)]. The common factor (x + 3) can be canceled from the numerator and denominator, leaving (x - 3) / (x + 4).

Question 38: A store sells pencils for $0.25 each. How much do 16 pencils cost?

$3.50
$4.00 (Correct answer)
$3.00
$4.50

Correct answer: $4.00

16 × $0.25 = $4.00; 16 groups of 25 cents equals 400 cents = $4.00.

Question 39: An author writing a paper on nutrition cites only studies funded by a soda company. What source evaluation issue does this raise?

Formatting
Relevance
Bias and purpose (Correct answer)
Currency

Correct answer: Bias and purpose

Funding sources can create conflicts of interest that bias research findings, which is a concern about purpose and objectivity.

Question 40: What is the solution to ¾+ ⅝?

⅞
¹¹⁄₈ (Correct answer)
½
⁵⁄₁₂

Correct answer: ¹¹⁄₈

To add fractions, you need a common denominator. The common denominator of 4 and 8 is 8. Convert ¾ to ⁶⁄₈, then add: ⁶⁄₈ + ⅝ = ¹¹⁄₈.

Question 41: A scatter plot shows that as study hours increase, test scores also increase. This relationship is best described as:

Inverse proportion
No correlation
Positive correlation (Correct answer)
Negative correlation

Correct answer: Positive correlation

When both variables increase together, the data displays a positive correlation.

Question 42: A researcher finds two studies with conflicting conclusions. The best approach is to:

Use whichever study has a larger sample size and discard the other
Acknowledge both studies and analyze the reasons for the discrepancy (Correct answer)
Cite only the more recent study
Ignore the study that disagrees with the thesis

Correct answer: Acknowledge both studies and analyze the reasons for the discrepancy

Acknowledging conflicting evidence and exploring why it exists demonstrates critical thinking and strengthens academic credibility.

Question 43: A box contains 4 red balls, 5 green balls, and 6 blue balls. If a ball is selected at random, what is the probability of selecting a red ball?

⅓
⁴⁄₁₅ (Correct answer)
⁴⁄₁₄
⅕

Correct answer: ⁴⁄₁₅

The total number of balls is 4 + 5 + 6 = 15. The probability of selecting a red ball is the ratio of red balls to total balls: ⁴⁄₁₅

Question 44: Which word correctly completes the sentence: 'The committee reached _____ decision after a long debate.'?

their
they're
its (Correct answer)
there

Correct answer: its

'Committee' is a singular collective noun, so the singular possessive pronoun 'its' is correct.

Question 45: Read this sentence: 'The legislation, though well-intentioned, may have unintended consequences for small businesses.' The author's attitude toward the legislation is best described as:

Balanced — acknowledging good intent while raising concern (Correct answer)
Completely opposed
Indifferent
Completely supportive

Correct answer: Balanced — acknowledging good intent while raising concern

The phrase 'well-intentioned' grants the law credit while 'may have unintended consequences' introduces a cautionary note, showing a nuanced view.

Question 46: A product description states: 'Results may vary.' What does this phrase imply?

Not all users will experience the same outcome. (Correct answer)
The product has been tested on a large sample.
The product works the same way for everyone.
The advertised results are guaranteed.

Correct answer: Not all users will experience the same outcome.

'Results may vary' is a disclaimer implying the product may not work as advertised for every user.

Question 47: A persuasive essay argues that public libraries should receive more government funding. Which type of evidence would MOST strengthen this argument?

A personal story about enjoying library books as a child
Statistics showing that communities with well-funded libraries have higher literacy rates (Correct answer)
A description of a beautiful library building
A quote from a famous novelist who loves reading

Correct answer: Statistics showing that communities with well-funded libraries have higher literacy rates

Quantitative data directly linking library funding to literacy outcomes provides objective, measurable support for the funding argument.

Question 48: A coworker says, 'I'd love to help with that project, but I already have three deadlines this week.' What is the implied message?

She wants more information about the project.
She is asking for her deadlines to be extended.
She is declining to help due to being overloaded. (Correct answer)
She is excited to join the project soon.

Correct answer: She is declining to help due to being overloaded.

The phrase 'I'd love to… but' signals a polite refusal based on current workload.

Question 49: A passage about the Moon covers its formation from a collision, its effect on Earth's tides, and its role in early navigation. The main idea is best stated as:

The Moon has shaped Earth's environment and human history in multiple ways. (Correct answer)
The Moon was formed by a collision with Earth billions of years ago.
Ancient sailors used the Moon to navigate open water.
The Moon affects ocean tides in predictable patterns.

Correct answer: The Moon has shaped Earth's environment and human history in multiple ways.

The main idea must encompass all three topics — formation, tides, and navigation — rather than any single one.

Question 50: A researcher is studying the effectiveness of a new teaching method. They conduct an experiment, collect data on student test scores, and then write a journal article reporting their findings. For another researcher studying the history of educational research, this journal article would be considered what type of source?

A tertiary source because it requires interpretation.
A primary source because it presents original research. (Correct answer)
Neither a primary nor a secondary source.
A secondary source because it is published in a journal.

Correct answer: A primary source because it presents original research.

A primary source is a document or record containing firsthand information or original data on a topic. Since the journal article is the first formal report of the new research, data, and findings by the person who conducted the experiment, it is a primary source.

Question 51: What is the key distinction between an 'inference' and a 'fact' when analyzing a text?

Inferences are always incorrect; facts are always correct
Inferences require mathematical proof, while facts do not
Facts come only from primary sources; inferences come from secondary sources
A fact is directly stated or verifiable, while an inference is a conclusion drawn from evidence (Correct answer)

Correct answer: A fact is directly stated or verifiable, while an inference is a conclusion drawn from evidence

A fact can be directly observed or verified, while an inference involves reasoning beyond what is explicitly stated to reach a conclusion.

Question 52: A line segment goes from point (2, 3) to point (6, 3). What is its length?

6 units
4 units (Correct answer)
3 units
8 units

Correct answer: 4 units

Since both points share y = 3, the length is the difference in x-coordinates: 6 − 2 = 4 units.

Question 53: A news article states: 'The CEO stepped down to spend more time with family.' What is often implied by this phrase in business news?

The CEO is taking a temporary leave of absence.
The CEO left voluntarily for purely personal reasons.
The CEO may have been pressured to resign. (Correct answer)
The CEO's family has grown recently.

Correct answer: The CEO may have been pressured to resign.

'Spending more time with family' is a well-known euphemism often implying forced or pressured resignation.

Question 54: Which of the following are the solutions to the quadratic equation 2x² - 5x - 4 = 0?

x = (5 ± √7) / 4
x = (-5 ± √57) / 4
x = (-5 ± √7) / 2
x = (5 ± √57) / 4 (Correct answer)

Correct answer: x = (5 ± √57) / 4

This quadratic equation does not factor easily, so the quadratic formula, x = [-b ± √(b² - 4ac)] / 2a, is the best method. For this equation, a = 2, b = -5, and c = -4. Substituting these values gives: x = [ -(-5) ± √((-5)² - 4(2)(-4)) ] / (2*2) = [ 5 ± √(25 + 32) ] / 4 = (5 ± √57) / 4.

Question 55: A frequency table shows: Score 60–69 (5 students), 70–79 (8 students), 80–89 (12 students), 90–99 (5 students). What percent scored in the 80–89 range?

12%
40% (Correct answer)
50%
30%

Correct answer: 40%

Total students = 5+8+12+5 = 30; 12/30 × 100 = 40%.

Question 56: If a train travels at a speed of 75 km/h, how far will it travel in 2.5 hours?

200 km
175 km
150 km (Correct answer)
100 km

Correct answer: 150 km

To find the distance, multiply speed by time: 75 x 2.5 = 150 km.

Question 57: Completing the square on x² + 8x gives:

(x + 8)² − 64
(x − 4)² + 16
(x + 4)² − 16 (Correct answer)
(x + 4)² + 16

Correct answer: (x + 4)² − 16

x² + 8x = (x+4)² − 16 by adding and subtracting (8/2)² = 16.

Question 58: Which expression is equivalent to 2(3x − 4) − (x + 5)?

5x − 3
5x − 13 (Correct answer)
7x − 13
6x − 13

Correct answer: 5x − 13

2(3x−4) − (x+5) = 6x − 8 − x − 5 = 5x − 13.

Question 59: Which of the following correctly describes complementary angles?

Two angles that sum to 180°
Two angles that sum to 360°
Two angles that sum to 90° (Correct answer)
Two angles that are equal

Correct answer: Two angles that sum to 90°

Complementary angles are two angles whose measures add up to exactly 90°.

Question 60: An advertisement says: 'Why settle for less?' What is implied about the competition?

Competing products are inferior to this one. (Correct answer)
Competing products are equal in quality.
The product is the cheapest available.
There are no other products on the market.

Correct answer: Competing products are inferior to this one.

The phrase implies that choosing another product means accepting something of lesser quality.

Question 61: Solve for 𝑥 in the equation 2x+5=15.

x=5 (Correct answer)
x=4
x=10
x=7

Correct answer: x=5

Subtract 5 from both sides: 2x=10. Now divide both sides by 2: x=5.

Question 62: Which sentence uses an apostrophe correctly?

The childrens' playground was newly built.
Its raining outside today.
The dog wagged it's tail happily.
The children's playground was newly built. (Correct answer)

Correct answer: The children's playground was newly built.

'Children's' is correct because 'children' is an irregular plural, so the apostrophe-s is added directly.

Question 63: What is the solution set for the inequality |2x - 3| ≤ 7?

x ≤ 5
-5 ≤ x ≤ 2
-2 ≤ x ≤ 5 (Correct answer)
x ≥ -2 or x ≤ 5

Correct answer: -2 ≤ x ≤ 5

An absolute value inequality of the form |A| ≤ B is equivalent to -B ≤ A ≤ B. So, we can write -7 ≤ 2x - 3 ≤ 7. To solve this compound inequality, add 3 to all three parts: -4 ≤ 2x ≤ 10. Then, divide all three parts by 2: -2 ≤ x ≤ 5.

Question 64: “When Maria finally reached the summit of the mountain, she was overwhelmed by the view. The clouds stretched out like a cotton sea, and the wind whispered through the pines. She had trained for this moment for months, pushing her body and mind to their limits. Now, standing at the peak, it all felt worth it.” What is the main idea of the passage?

Maria prefers the sea to the mountains.
Maria reaches the summit after long preparation. (Correct answer)
Maria is afraid of heights.
Maria regrets climbing the mountain.

Correct answer: Maria reaches the summit after long preparation.

The passage describes Maria’s journey to the summit, emphasizing her hard work and emotional payoff.

Question 65: Which sentence correctly uses a colon?

We need: to practice more often.
The store sells: apples, oranges, and bananas.
He bought: a book, a pen, and a notebook.
She had one goal: to finish the marathon. (Correct answer)

Correct answer: She had one goal: to finish the marathon.

A colon after a complete independent clause correctly introduces what follows: a restatement or list.

Question 66: A pizza is cut into 8 equal slices. Maria ate 3 slices. What fraction of the pizza is left?

4/8
6/8
5/8 (Correct answer)
3/8

Correct answer: 5/8

8 − 3 = 5 slices remaining, so 5/8 of the pizza is left.

Question 67: Which technique best helps a reader identify the main idea of an expository passage?

Counting which word appears most frequently
Reading only the first word of each sentence
Finding the sentence that most other sentences support or explain (Correct answer)
Memorizing every statistic mentioned

Correct answer: Finding the sentence that most other sentences support or explain

The main idea is the claim or statement that the other sentences in the passage support, explain, or elaborate on.

Question 68: A memo at work states: 'Moving forward, all team meetings will be documented.' What is implied about the past?

The team will stop having meetings entirely.
This policy applies only to future hires.
Past meetings may not have been documented, causing issues. (Correct answer)
Meetings were always documented and this continues the practice.

Correct answer: Past meetings may not have been documented, causing issues.

'Moving forward' signals a change in policy, implying previous meetings were not consistently documented.

Question 69: A character in a story says nothing when accused of lying, but looks away. What does this imply?

The character did not hear the accusation.
The character is shy by nature.
The character may be guilty or ashamed. (Correct answer)
The character is innocent and confused.

Correct answer: The character may be guilty or ashamed.

Silence combined with looking away is a classic nonverbal cue implying guilt or discomfort.

Question 70: Read the following dialogue: Alex: "I've triple-checked the data, run the analysis twice, and had Sarah look over the final report." Manager: "So, you're confident in these numbers?" Alex: "Absolutely. I'd stake my reputation on it." What does Alex's response imply?

Alex has a tendency to gamble.
Alex is concerned about losing his job.
Alex is extremely certain about the accuracy of the report. (Correct answer)
Alex does not get along well with Sarah.

Correct answer: Alex is extremely certain about the accuracy of the report.

The phrase "I'd stake my reputation on it" is an idiom used to express a very high degree of certainty. Alex is not literally gambling but is using this expression to emphasize his confidence in the report's accuracy. The dialogue shows collaboration with Sarah and confidence, not conflict or fear.

Question 71: What is the domain of the function g(x) = √(x - 7)?

All real numbers
x ≤ 7
x > 7
x ≥ 7 (Correct answer)

Correct answer: x ≥ 7

The expression inside a square root cannot be negative for the function to yield a real number. Therefore, we must set the expression (x - 7) to be greater than or equal to zero. The inequality is x - 7 ≥ 0. Adding 7 to both sides gives x ≥ 7. In interval notation, this is [7, ∞).

Question 72: A survey reports that 70% of respondents support a new tax policy. The survey was conducted on a political party's own website. What is the main credibility problem?

Seventy percent is too small a majority to be meaningful
Tax policy surveys must be conducted by the IRS
Online surveys always have technical errors
The sample is self-selected and not representative of the general population (Correct answer)

Correct answer: The sample is self-selected and not representative of the general population

Visitors to a partisan website are not a random sample; they likely share similar political views, making the result unrepresentative.

Question 73: Which number makes 9 × ___ = 63 true?

9
6
8
7 (Correct answer)

Correct answer: 7

9 × 7 = 63, so the missing factor is 7.

Question 74: Choose the sentence with correct subject-verb agreement:

A pair of shoes were left on the porch.
Neither the manager nor the employees was informed.
Each of the students have submitted their forms.
The number of complaints has increased this month. (Correct answer)

Correct answer: The number of complaints has increased this month.

'The number' is a singular subject and correctly pairs with 'has increased.'

Question 75: Which signal phrase best introduces a source whose findings you plan to dispute?

Smith argues that..., however... (Correct answer)
Smith confirms that...
According to Smith...
As Smith proves...

Correct answer: Smith argues that..., however...

Using 'argues that' acknowledges the source's position while 'however' signals your intent to challenge it.

Question 76: Which word is spelled correctly?

accommodate (Correct answer)
accomodate
acommodate
acomodate

Correct answer: accommodate

'Accommodate' is spelled with double 'c' and double 'm.'

Question 77: Which of the following values for 'y' is a solution to the equation 5y - 7 = 3y + 5?

y = 2
y = 1
y = -1
y = 6 (Correct answer)

Correct answer: y = 6

To solve the equation, first get the variable terms on one side by subtracting 3y from both sides, resulting in 2y - 7 = 5. Next, add 7 to both sides to isolate the variable term: 2y = 12. Finally, divide by 2 to find y = 6.

Question 78: What is the primary purpose of in-text citations?

To give credit to sources and allow readers to locate them (Correct answer)
To show the reader how many sources were consulted
To add length to the paper
To separate your ideas from the rest of the paragraph

Correct answer: To give credit to sources and allow readers to locate them

In-text citations attribute ideas to their original authors and point readers to the full reference for verification.

Question 79: A passage reads: 'She had worked at the company for thirty years, and they threw her a small going-away party in the break room.' What is implied?

The company greatly valued her long service.
She chose to have a small party herself.
Break room parties are the company's standard tradition.
The farewell was underwhelming given her years of service. (Correct answer)

Correct answer: The farewell was underwhelming given her years of service.

A 'small' break room party for thirty years of service implies a lack of proper recognition.

Question 80: What is 3/4 of 20?

12
18
15 (Correct answer)
10

Correct answer: 15

3/4 × 20 = 60/4 = 15.

Question 81: Read the paragraph below: The old lighthouse stood on the cliff's edge, its paint peeling from decades of salty air and harsh winds. Its light, once a powerful beam cutting through the darkest storms, was now dark. Below, the waves crashed against the rocks with a steady, relentless rhythm. The town at its feet had long since turned to automated navigation systems, its harbor now guided by satellites and screens. What is the implied main idea of this paragraph?

The ocean is a powerful and destructive force.
Modern technology has made the old lighthouse obsolete. (Correct answer)
The town's harbor is safer now than it was in the past.
Lighthouses are expensive to maintain.

Correct answer: Modern technology has made the old lighthouse obsolete.

The paragraph contrasts the old, non-working lighthouse with the new automated systems the town now uses. Details like the peeling paint, the extinguished light, and the town's adoption of satellite navigation all point to the central implied idea that the lighthouse is no longer needed because of technological advancement.

Question 82: A student scored 78, 85, 91, and 82 on four tests. What score must the student earn on the fifth test to have an average of exactly 85?

85
89 (Correct answer)
92
87

Correct answer: 89

Total needed = 85 × 5 = 425; current total = 78+85+91+82 = 336; fifth score = 425 − 336 = 89.

RISE Placement Test

The RISE Placement Test exam validates essential knowledge and skills required for certification or licensure in this field.

Questions

90 min

Time Limit

70%

To Pass

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