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SAT — Scholastic Assessment Test (Digital SAT)

SAT Math — Algebra, Set 2

Take the SAT Math — Algebra, Set 2: 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 5x − 9 = 2x + 15, what is the value of x?

    • A. 24
    • B. 8 ✓
    • C. 6
    • D. 2

    Answer: B. 8

    Explanation: 3x = 24, so x = 8.

  2. Q2. If 7 − 3(x + 1) = −8, what is the value of x?

    • A. 6
    • B. 2
    • C. 4 ✓
    • D. −4

    Answer: C. 4

    Explanation: 7 − 3x − 3 = −8 ⇒ 4 − 3x = −8 ⇒ x = 4.

  3. Q3. If (x + 4)/3 = 5, what is the value of x?

    • A. 11 ✓
    • B. 19
    • C. 1
    • D. 15

    Answer: A. 11

    Explanation: x + 4 = 15, so x = 11.

  4. Q4. What is the slope of the line 4x − 2y = 10?

    • A. −5
    • B. −2
    • C. 2 ✓
    • D. 4

    Answer: C. 2

    Explanation: Rearranged: y = 2x − 5, so the slope is 2.

  5. Q5. Which equation describes the line with slope −3 through (−2, 5)?

    • A. y = −3x + 5
    • B. y = −3x − 1 ✓
    • C. y = −3x + 11
    • D. y = 3x + 11

    Answer: B. y = −3x − 1

    Explanation: 5 = −3(−2) + b ⇒ b = −1.

The other 15 questions

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  1. Q6. If 3x + y = 11 and x + y = 5, what is the value of y?

    • A. 8
    • B. 5
    • C. 3
    • D. 2

  2. Q7. If 2x − y = 7 and x + 2y = 6, what is the value of x + y?

    • A. 7
    • B. 4
    • C. 5
    • D. 3

  3. Q8. A gym charges a $20 joining fee plus $15 per month. After how many months will a member have paid $155 in total?

    • A. 11
    • B. 10
    • C. 8
    • D. 9

  4. Q9. What is the smallest integer x that satisfies 2x + 5 ≤ 3x − 1?

    • A. 4
    • B. 5
    • C. −6
    • D. 6

  5. Q10. Which describes all solutions of −4 < 2x − 6 < 4?

    • A. 1 < x < 5
    • B. −5 < x < −1
    • C. −1 < x < 5
    • D. 2 < x < 10

  6. Q11. A line has x-intercept 4 and y-intercept −2. Which equation describes it?

    • A. y = 0.5x − 2
    • B. y = −0.5x − 2
    • C. y = 0.5x + 4
    • D. y = 2x − 2

  7. Q12. If f(x) = −2x + 7, for what value of x is f(x) = −3?

    • A. 13
    • B. 5
    • C. −5
    • D. 2

  8. Q13. If g(x) = x/2 − 1, what is g(10)?

    • A. 5
    • B. 4
    • C. 9
    • D. 6

  9. Q14. For which value of k does the system y = 3x + 2 and y = kx − 5 have no solution?

    • A. 3
    • B. 5
    • C. −3
    • D. 2

  10. Q15. For which value of c do 6x + 9y = 12 and 2x + 3y = c have infinitely many solutions?

    • A. 12
    • B. 4
    • C. 3
    • D. 6

  11. Q16. A taxi fare is F = 3.5 + 1.2d dollars for d kilometres. What does 1.2 represent?

    • A. The number of kilometres travelled
    • B. The total fare for 1 km
    • C. The fixed starting fee
    • D. The cost per kilometre

  12. Q17. Using F = 3.5 + 1.2d, what is the fare for 10 km?

    • A. $12.00
    • B. $47.00
    • C. $15.50
    • D. $13.50

  13. Q18. Ali earns $12 per hour plus a $50 weekly bonus. One week he earned $230. How many hours did he work?

    • A. 19
    • B. 14
    • C. 15
    • D. 24

  14. Q19. If a = 4 and b = −1, what is the value of 3a − 2b?

    • A. 12
    • B. 10
    • C. −14
    • D. 14

  15. Q20. If 2(x + y) = 18 and x − y = 3, what is the value of xy?

    • A. 18
    • B. 9
    • C. 27
    • D. 15