Mixed Deck — All Core Academic Skills Assessment Topics Flashcards

If f(x) = 3x² − 2x + 1, what is f(−2)?

Answer: 17

f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

A scale drawing uses a scale of 1 inch = 5 feet. A wall measures 3 inches on the drawing. What is the actual length of the wall?

Answer: 15 feet

Actual length = drawing length × scale factor = 3 inches × 5 feet/inch = 15 feet.

What do cross-cutting concepts do in science education?

Answer: Link separate fields of science and promote transfer of knowledge

Cross-cutting concepts are overarching themes that bridge different scientific disciplines, such as patterns, cause and effect, and systems. Their purpose is to help students connect knowledge across various fields of science, fostering a more integrated understanding and enabling them to transfer learning from one context to another. This promotes a holistic view of scientific inquiry.

A recipe calls for 2⅓ cups of flour. If you want to make 1.5 times the recipe, how many cups do you need?

Answer: 3½ cups

2⅓ × 1.5 = 7/3 × 3/2 = 7/2 = 3½ cups.

Which sentence uses 'effect' and 'affect' correctly? A) The medication will effect her mood significantly. B) The new law will affect small businesses the most. C) What effect did the noise have on the affect of the crowd? D) He was unable to affect the desired outcome through his efforts.

Answer: The new law will affect small businesses the most.

'Affect' is typically a verb meaning to influence, used correctly in 'will affect small businesses.'

Simplify: (x² − 9)/(x − 3)

Answer: x + 3

x² − 9 factors as (x+3)(x−3); dividing by (x−3) gives x + 3.

Which feature distinguishes an expository text from a narrative text?

Answer: It focuses on informing rather than storytelling

Expository texts aim to explain or inform, while narrative texts tell a story with characters, plot, and events.

A store records daily sales (in dollars): 120, 145, 130, 160, 125, 140, 150. What is the mean daily sales?

Answer: 141.43

Sum = 970; mean = 970 ÷ 7 ≈ 138.57. Wait — 120+145+130+160+125+140+150 = 970; 970/7 ≈ 138.57, so the correct answer is 138.57.

Select the letter that the incorrect sentence's incorrect portion matches. Select " NO ERROR" if the entire sentence is accurate. The table of contents for the book didn't give any insight into the topics covered in each chapter.

Answer: No error

The sentence 'The table of contents for the book didn't give any insight into the topics covered in each chapter' is grammatically sound and clearly conveys its meaning. There are no errors in subject-verb agreement, punctuation, word choice, or sentence structure. Therefore, 'No error' is the correct choice.

A worker earns $18 per hour and works 37.5 hours per week. What is her gross weekly pay?

Answer: $675.00

$18 × 37.5 = $675.00.

Which of the following correctly describes a right angle?

Answer: An angle measuring exactly 90°

A right angle measures exactly 90 degrees and is typically indicated by a small square symbol at the vertex.

When a passage from a historical document is compared to a modern analysis of the same event, readers should recognize that the historical document:

Answer: Reflects the perspective and limitations of its time period

Primary sources reflect the perspective, biases, and limited knowledge of their era, which must be accounted for when integrating them with modern analyses.

Which of the following, if accurate, would most undermine the third paragraph's author's claims? Clay was the first substance that humanstotally transformed by heating. Soft, doughy clayis remarkable because in a hot kiln or oven, itLinechanges color and becomes a hard,(5)heat-resistant ceramic material that can holdliquids. Along with the discovery that grains couldbe cultivated, the advent of ceramics led to whatsome scientists have called the Neolithic (NewStone Age) Revolution, laying the agricultural(10)basis for the first cities of the ancient world. A method for creating ceramics was firstdiscovered roughly 26,000 years ago, whenartisans at a site in what is now theCzech Republic mixed clay with loess, rich soil(15)left behind by retreating glaciers, and then fired itin ovens. The discovery of how to produce a ceramic by firing clay was a milestone in humanity's quest to utilize nature. Up to that time, craftspeople had(20)transformed stone, bone, and wood into tools and weapons by altering their shape, not their intrinsic properties. With ceramics produced from clay, humans learned that the physical properties of materials could be dramatically improved. In(25)prehistoric times, as is frequently the case today, most advances involving materials were based on this simple concept.

Answer: Early humans had already discovered that heating flint and chert allowed those materials to be modified.

The third paragraph claims that firing clay was a 'milestone' because, 'Up to that time, craftspeople had transformed stone, bone, and wood... by altering their shape, not their intrinsic properties.' If early humans had already discovered that heating flint and chert allowed those materials to be modified intrinsically, it would undermine the claim that firing clay was the first instance of dramatically improving material properties through heating.

Refers to the subject & is necessary to the meaning of the sentence

Answer: Reflexive pronoun

A reflexive pronoun ends in '-self' or '-selves' and refers back to the subject of the sentence, indicating that the subject is both performing and receiving the action. It is essential to the meaning of the sentence because removing it would make the sentence grammatically incomplete or change its meaning significantly. For example, in 'She taught herself to play guitar,' 'herself' is a reflexive pronoun.

A recipe calls for 2¾ cups of flour. If you want to make 1.5 times the recipe, how many cups of flour do you need?

Answer: 4⅛ cups

2¾ = 2.75; 2.75 × 1.5 = 4.125 = 4⅛ cups.

Which inequality represents all numbers within 3 units of 7 on a number line?

Answer: |x − 7| < 3

'Within 3 units of 7' means the distance from x to 7 is less than 3, written |x − 7| < 3.

An article states: 'Studies suggest that reading fiction may improve empathy.' The word 'may' indicates that the claim is:

Answer: A tentative or uncertain finding

The modal verb 'may' signals possibility and uncertainty rather than certainty.

Physical person place or thing

Answer: Concrete noun

A concrete noun refers to something that can be perceived by one or more of the five senses – sight, smell, touch, taste, or hearing. These nouns represent physical entities that exist in the real world. Examples include 'table,' 'dog,' and 'music,' as they are tangible or audible.

Which graph type is BEST for showing how a quantity changes over time?

Answer: Line graph

Line graphs connect data points across time intervals, making trends and changes over time easy to see.

The probability of rain on any given day is 0.3. Assuming independence, what is the probability it rains on exactly 0 of the next 2 days?

Answer: 0.49

P(no rain both days) = 0.7 × 0.7 = 0.49.