SAT - Scholastic Assessment Test Math 4 — Questions and Answers
Question 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?
- $25
- $60 (Correct answer)
- $85
- $35
Correct 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.
Question 2: What is the slope of a line that passes through the points (−2, 7) and (4, −5)?
- −2 (Correct answer)
- 2
- −½
- ½
Correct answer: −2
Slope = (y₂ − y₁)/(x₂ − x₁) = (−5 − 7)/(4 − (−2)) = −12/6 = −2.
Question 3: Two numbers sum to 22 and their difference is 6. What is the value of the larger number?
- 14 (Correct answer)
- 16
- 10
- 8
Correct 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.
Question 4: Which of the following is a solution to x² − 7x + 12 = 0?
- x = 2
- x = −3
- x = 3 (Correct answer)
- x = −4
Correct 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.
Question 5: A store sells a jacket at a 35% markup over its wholesale price of $80. What is the retail price?
- $108 (Correct answer)
- $115
- $112
- $100
Correct answer: $108
A 35% markup means the retail price = 80 × 1.35 = $108.
Question 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?
- h ≥ 8
- h ≥ 10 (Correct answer)
- h ≥ 13
- h ≥ 16
Correct answer: h ≥ 10
Set up the inequality: 15h + 45 ≥ 195. Subtract 45 from both sides: 15h ≥ 150. Divide by 15: h ≥ 10.
SAT - Scholastic Assessment Test Math 4
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?