SAT - Scholastic Assessment Test Math 5 — Questions and Answers
Question 1: A gym charges a one-time enrollment fee plus a monthly membership rate. The total cost in dollars after m months is represented by the expression 30m + 50. What does the value 50 represent in this context?
- The monthly membership rate
- The total cost after one month
- The one-time enrollment fee (Correct answer)
- The number of months paid
Correct answer: The one-time enrollment fee
In the expression 30m + 50, the term 30m represents the monthly cost (rate × months), so the constant 50 is the fixed, one-time enrollment fee added regardless of how many months are purchased.
Question 2: A student buys pencils for $0.50 each and notebooks for $2.00 each. She purchases 12 items total and spends exactly $15.00. How many notebooks did she buy?
- 4
- 6 (Correct answer)
- 8
- 10
Correct answer: 6
Setting up the system: p + n = 12 and 0.50p + 2n = 15. Substituting p = 12 − n gives 0.50(12 − n) + 2n = 15 → 6 + 1.5n = 15 → n = 6.
Question 3: Which equation represents a parabola with a vertex at (−2, 5)?
- y = (x + 2)² + 5 (Correct answer)
- y = (x − 2)² + 5
- y = (x + 2)² − 5
- y = (x − 2)² − 5
Correct answer: y = (x + 2)² + 5
Vertex form is y = (x − h)² + k, where (h, k) is the vertex. For vertex (−2, 5), h = −2 and k = 5, giving y = (x − (−2))² + 5 = (x + 2)² + 5.
Question 4: A store purchases a jacket for $80 and marks it up by 35% before selling it. What is the selling price of the jacket?
- $100.00
- $108.00 (Correct answer)
- $112.00
- $115.00
Correct answer: $108.00
A 35% markup means the selling price is 80 × 1.35 = $108.00. Multiplying by 1.35 adds 35% of the original price to itself in one step.
Question 5: What is the slope of the line that passes through the points (3, 7) and (9, 19)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (y₂ − y₁) / (x₂ − x₁) = (19 − 7) / (9 − 3) = 12 / 6 = 2. The line rises 2 units for every 1 unit it moves to the right.
Question 6: A delivery driver earns $0.22 per mile driven plus a flat daily base pay. His total earnings for one day are represented by the expression 0.22m + 64, where m is the number of miles driven. If the driver drove 200 miles in one day, how much did he earn?
- $88.00
- $108.00
- $108.40 (Correct answer)
- $128.00
Correct answer: $108.40
Substitute m = 200 into 0.22m + 64: 0.22(200) + 64 = 44 + 64 = $108.40.
SAT - Scholastic Assessment Test Math 5
A gym charges a one-time enrollment fee plus a monthly membership rate.
The total cost in dollars after m months is represented by the expression 30m + 50.
What does the value 50 represent in this context?