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Math 4 Flashcards

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

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  1. A gym charges a one-time enrollment fee plus a fixed monthly rate. The total cost in dollars after m months of membership is represented by the expression 25m + 60. What is the one-time enrollment fee?

    Answer: $60

    In the expression 25m + 60, the term 25m represents the recurring monthly cost ($25 per month), while the constant 60 is added regardless of how many months pass — making it the one-time enrollment fee.

  2. What is the slope of a line that passes through the points (−2, 7) and (4, −5)?

    Answer: −2

    Slope = (y₂ − y₁)/(x₂ − x₁) = (−5 − 7)/(4 − (−2)) = −12/6 = −2.

  3. Two numbers sum to 22 and their difference is 6. What is the value of the larger number?

    Answer: 14

    Set up the system: x + y = 22 and x − y = 6. Adding both equations gives 2x = 28, so x = 14. The larger number is 14.

  4. Which of the following is a solution to x² − 7x + 12 = 0?

    Answer: x = 3

    Factor the quadratic: x² − 7x + 12 = (x − 3)(x − 4) = 0, giving solutions x = 3 and x = 4. Of the options listed, x = 3 is a solution.

  5. A store sells a jacket at a 35% markup over its wholesale price of $80. What is the retail price?

    Answer: $108

    A 35% markup means the retail price = 80 × 1.35 = $108.

  6. Daniela earns $15 per hour babysitting and has already saved $45. She wants to save at least $195 total. Which inequality represents the minimum number of hours h she must work?

    Answer: h ≥ 10

    Set up the inequality: 15h + 45 ≥ 195. Subtract 45 from both sides: 15h ≥ 150. Divide by 15: h ≥ 10.