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SAT Math 2022 past questions and answers

This 2022 SAT Math set has 28 practice questions. Try these 5 free sample questions, tap a question to reveal the answer and explanation. Then practise the whole 2022 set with instant marking.

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Sample SAT Math 2022 questions

1. What is the value of x if 3(2x - 5) = 21?
  1. 4
  2. 5
  3. 6
  4. 7

Answer: C. 6

Distributing gives 6x - 15 = 21, so 6x = 36 and x = 6.

2. A bicycle rental shop charges a fixed fee of $18 plus $7 for each hour rented. If the total charge is $60, for how many hours was the bicycle rented?
  1. 6
  2. 4
  3. 5
  4. 7

Answer: A. 6

Subtracting the $18 fee leaves $42, and $42 divided by $7 per hour is 6 hours.

3. If x + y = 17 and 2x - y = 7, what is the value of y?
  1. 7
  2. 8
  3. 10
  4. 9

Answer: D. 9

Adding the equations gives 3x = 24, so x = 8 and y = 17 - 8 = 9.

4. Which inequality gives the solution set of 5 - 2x > -9?
  1. x > 7
  2. x < 7
  3. x ≤ 7
  4. x ≥ 7

Answer: B. x < 7

Subtracting 5 gives -2x > -14, and dividing by -2 reverses the inequality to x < 7.

5. A line has slope -3 and passes through (2, 5). What is the y-intercept of the line?
  1. 5
  2. 8
  3. 11
  4. 13

Answer: C. 11

Using y = -3x + b and the point (2, 5), 5 = -6 + b, so the y-intercept is 11.

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