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Mixed Deck — All TACHS Topics Flashcards

100 cards from real TACHS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 20 Mixed Deck — All TACHS Topics flashcards as text

  1. What is 15% of 200?

    Answer: 30

    0.15 × 200 = 30.

  2. A shirt originally costs $40 and is on sale for 25% off. What is the sale price?

    Answer: $30

    25% of $40 = $10 discount, so the sale price is $40 − $10 = $30.

  3. In a TACHS reading passage, the 'main idea' of a paragraph is best described as:

    Answer: The central point the paragraph is making

    The main idea is the central point or message that the entire paragraph supports.

  4. Calculate the value of x. x/4 + 12 = 22

    Answer: 40

    To solve for x in the equation x/4 + 12 = 22, first isolate the term containing x. Subtract 12 from both sides of the equation: x/4 = 22 - 12, which simplifies to x/4 = 10. Next, to find x, multiply both sides of the equation by 4. This yields x = 10 * 4, so x = 40.

  5. What is 3/4 + 1/6?

    Answer: 11/12

    Common denominator 12: 9/12 + 2/12 = 11/12.

  6. Which sentence uses the correct form of the verb?

    Answer: Each of the students has a pencil.

    'Each' is always singular, so it takes the singular verb 'has,' not the plural 'have.'

  7. Ruby works as a science lab assistant at $12.50 per hour. How many 40-hour work weeks will she have to put in to cover the cost of a $3000 car?

    Answer: 6

    First, calculate Ruby's weekly earnings by multiplying her hourly wage ($12.50) by the 40 hours she works per week, which totals $500 per week. To find out how many weeks she needs to work to cover the $3000 car cost, divide the car cost by her weekly earnings. This calculation is $3000 / $500 = 6 weeks.

  8. When taking the TACHS, which time management strategy is most effective?

    Answer: Move steadily through questions and return to skipped ones if time remains

    Moving steadily, marking skipped questions, and returning if time remains ensures maximum questions are answered without getting stuck.

  9. In the sentence 'The coach gave an impartial assessment of all players,' 'impartial' means:

    Answer: Fair and not favoring either side

    'Impartial' means treating all sides equally and fairly, without favoritism.

  10. What comes next in the pattern? A, C, E, G, ___

    Answer: I

    The pattern skips every other letter: A, C, E, G, I (every odd-positioned letter of the alphabet).

  11. Which sentence demonstrates the most formal writing style appropriate for an essay?

    Answer: Students would benefit greatly from additional recess time.

    Formal writing avoids slang, contractions, and casual language — it uses precise vocabulary and complete sentences.

  12. In the TACHS Language section, an 'antecedent' is:

    Answer: The word a pronoun refers back to

    An antecedent is the noun or noun phrase that a pronoun refers to or replaces in a sentence.

  13. What is the value of 2^5?

    Answer: 32

    2×2×2×2×2 = 32.

  14. A number sequence follows the rule 'multiply by 3 then subtract 1.' Starting with 2, what is the third term?

    Answer: 17

    Start: 2 → (2×3)−1 = 5 → (5×3)−1 = 14... Wait: the third term is 14. Let me recount: 2 is term 1, 5 is term 2, 14 is term 3.

  15. Which fraction is equivalent to 3/4?

    Answer: 9/12

    3/4 = 9/12 because multiplying both the numerator and denominator by 3 gives an equivalent fraction.

  16. As an improper fraction, express the mixed number 2 1/3.

    Answer: 7/3

    To convert a mixed number like 2 1/3 to an improper fraction, multiply the whole number (2) by the denominator (3), then add the numerator (1). This sum becomes the new numerator, while the denominator remains the same. So, (2 * 3) + 1 = 7, making the improper fraction 7/3.

  17. Choose the correctly spelled word for this definition: 'a formal agreement between countries':

    Answer: Treaty

    'Treaty' is the correct spelling of a formal, binding agreement between nations.

  18. Analyze: 15×8−12+25

    Answer: 133

    According to the order of operations (PEMDAS/BODMAS), multiplication is performed before addition and subtraction. First, calculate 15 * 8, which equals 120. Then, perform the subtraction: 120 - 12 = 108. Finally, perform the addition: 108 + 25 = 133.

  19. Which of the following best defines 'figurative language' as it appears in TACHS reading passages?

    Answer: Language that uses expressions not meant to be taken literally

    Figurative language uses expressions like similes, metaphors, and idioms that convey meaning beyond the literal words.

  20. A student's essay shifts from past tense to present tense mid-paragraph. This is an example of:

    Answer: Inconsistent verb tense, which confuses the reader

    Consistent verb tense is essential for clear writing; randomly shifting tenses confuses the reader about when events occur.