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SAT — Scholastic Assessment Test (Digital SAT)

SAT Math — Algebra, Set 1

Take the SAT Math — Algebra, Set 1: 20 multiple-choice questions (30 minutes) with instant scoring and a full answer review. Covers 20 SAT Math. 20 MCQs…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. If 3x + 7 = 22, what is the value of x?

    • A. 3
    • B. 5 ✓
    • C. 15
    • D. 7

    Answer: B. 5

    Explanation: 3x = 22 − 7 = 15, so x = 5.

  2. Q2. If 4(x − 2) = 2x + 6, what is the value of x?

    • A. 4
    • B. 2
    • C. 7 ✓
    • D. 10

    Answer: C. 7

    Explanation: 4x − 8 = 2x + 6, so 2x = 14 and x = 7.

  3. Q3. If 3x/4 = 9, what is the value of x?

    • A. 3
    • B. 6.75
    • C. 12 ✓
    • D. 36

    Answer: C. 12

    Explanation: Multiply both sides by 4/3: x = 9 · 4/3 = 12.

  4. Q4. What is the slope of the line through (1, 3) and (4, 12)?

    • A. 3 ✓
    • B. 4
    • C. 1/3
    • D. 9

    Answer: A. 3

    Explanation: Slope = (12 − 3)/(4 − 1) = 9/3 = 3.

  5. Q5. What is the y-intercept of the graph of y = 2x − 5?

    • A. −5 ✓
    • B. 2
    • C. −2
    • D. 5

    Answer: A. −5

    Explanation: In y = mx + b the y-intercept is b, here −5: the point (0, −5).

The other 15 questions

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  1. Q6. If x + y = 10 and x − y = 4, what is the value of x?

    • A. 3
    • B. 7
    • C. 14
    • D. 6

  2. Q7. If 2x + 3y = 12 and x = 3, what is the value of y?

    • A. 1
    • B. 3
    • C. 2
    • D. 6

  3. Q8. A plumber charges $45 for a visit plus $30 per hour of work. Which equation gives the total charge C, in dollars, for h hours?

    • A. C = 45h + 30
    • B. C = 75h
    • C. C = 30h + 45
    • D. C = 30(h + 45)

  4. Q9. Using C = 30h + 45, what is the charge for a 3-hour job?

    • A. 90
    • B. 225
    • C. 120
    • D. 135

  5. Q10. A phone plan costs 25m + 60 dollars for m months. What does 60 represent?

    • A. The total cost after one month
    • B. A one-time fee paid regardless of the number of months
    • C. The monthly charge
    • D. The number of months in the plan

  6. Q11. Which describes all solutions of 5 − 2x > 11?

    • A. x > 3
    • B. x < 3
    • C. x < −3
    • D. x > −3

  7. Q12. What is the slope of a line perpendicular to y = (1/2)x + 4?

    • A. 1/2
    • B. −1/2
    • C. 2
    • D. −2

  8. Q13. Which equation describes the line parallel to y = 3x − 1 that passes through (2, 1)?

    • A. y = 3x − 5
    • B. y = 3x + 1
    • C. y = −(1/3)x + 5/3
    • D. y = 3x − 1

  9. Q14. If f(x) = 4x − 3, what is f(5)?

    • A. 20
    • B. 12
    • C. 23
    • D. 17

  10. Q15. If f(x) = 2x + k and f(3) = 10, what is k?

    • A. 10
    • B. 7
    • C. 3
    • D. 4

  11. Q16. For which value of c does the system 2x + 4y = 8 and x + 2y = c have infinitely many solutions?

    • A. 4
    • B. 2
    • C. 8
    • D. 16

  12. Q17. What is the sum of the solutions of |x − 3| = 5?

    • A. 6
    • B. 10
    • C. 8
    • D. −2

  13. Q18. A tank holding 500 litres drains at 20 litres per minute. After how many minutes will 140 litres remain?

    • A. 7
    • B. 25
    • C. 32
    • D. 18

  14. Q19. The figure shows a line through (0, 2) and (3, 8). Which equation describes the line?

    Graph of a straight line in the xy-plane passing through the labelled points (0, 2) and (3, 8).
    • A. y = 3x + 2
    • B. y = 2x + 2
    • C. y = x + 5
    • D. y = 2x + 8

  15. Q20. Using the line in the figure, at what x-value does the line cross the x-axis?

    Graph of a straight line in the xy-plane passing through the labelled points (0, 2) and (3, 8).
    • A. 2
    • B. −1
    • C. −2
    • D. 1