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SAT Math – Top 100 Questions
Part 1: Questions
Q1. A taxi company charges a fixed fee of $3.50 plus $2.25 for each mile traveled. A
passenger pays $21.50 for a trip. How many miles did the passenger travel?
A. 6
B. 7
C. 8
D. 9
Q2. The equation 5x − 12 = 3x + 8 has a solution of x = k. What is the value of k?
A. 8
B. 10
C. 12
D. 14
Q3. A line passes through the points (2, 7) and (6, 19). Which equation represents the
line?
A. y = 2x + 3
B. y = 3x + 1
C. y = 3x − 1
D. y = 4x − 1
Q4. The function f is defined by f(x) = ax + 6. If f(4) = 18, what is the value of a?
A. 2
B. 3
C. 4
D. 6
Q5. The table shows values of a linear function f.
x 2 5 8
f(x) 7 16 25
Which equation represents f(x)?
A. f(x) = 2x + 3
B. f(x) = 3x + 1
C. f(x) = 3x + 2
D. f(x) = 4x − 1
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Q6. A line has equation 4x + 2y = 12. What is the y-intercept of the line?
A. 2
B. 4
C. 6
D. 12
Q7. Which equation represents a line perpendicular to y = (2/3)x − 5?
A. y = −(2/3)x + 1
B. y = (3/2)x + 1
C. y = −(3/2)x + 1
D. y = (2/3)x + 1
Q8. A school sells adult tickets for $12 and student tickets for $8. On one day, 150
tickets are sold for a total of $1,520. How many adult tickets were sold?
A. 55
B. 70
C. 80
D. 95
Q9. The system y = 2x + 1 and y = 5x − 8 has solution (x, y). What is the value of x?
A. 2
B. 3
C. 4
D. 5
Q10. For what value of k does the system 2x + 4y = 8 and x + 2y = k have infinitely many
solutions?
A. 1
B. 2
C. 4
D. 8
Q11. The inequality 3x − 7 ≤ 11 is satisfied by which of the following?
A. x ≤ 6
B. x ≤ 18/6
C. x ≥ 6
D. x ≥ 18/3
Q12. In the xy-plane, which point is a solution to the inequality y > 2x − 3?
A. (0, −4)
B. (1, −2)
C. (2, 2)
D. (3, 2)
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Q13. A company's monthly cost C, in dollars, is modeled by C = 4,500 + 18x, where x is
the number of products manufactured. What does 18 represent?
A. The fixed monthly cost
B. The total cost when no products are manufactured
C. The cost per product manufactured
D. The number of products manufactured
Q14. The function g is linear. If g(3) = 11 and g(7) = 27, what is g(10)?
A. 35
B. 37
C. 39
D. 41
Q15. A quantity P is represented by P = 120 − 4t. For which value of t is P = 52?
A. 13
B. 15
C. 17
D. 19
Q16. The equations y = 3x + 2 and y = 3x − 5 represent two lines. Which statement is
true?
A. They intersect at exactly one point.
B. They are perpendicular.
C. They are parallel and distinct.
D. They represent the same line.
Q17. A gym charges a $25 enrollment fee and $18 per month. Which equation gives the
total amount T paid after m months?
A. T = 25m + 18
B. T = 18m + 25
C. T = 43m
D. T = 25 + 18
Q18. If 2(3x − 4) − 5 = 4x + 7, what is x?
A. 8
B. 9
C. 10
D. 11
Q19. The system x + y = 14 and 2x + 3y = 34 has solution (x, y). What is y?
A. 4
B. 5
C. 6
D. 8
SAT Math – Top 100 Questions
Part 1: Questions
Q1. A taxi company charges a fixed fee of $3.50 plus $2.25 for each mile traveled. A
passenger pays $21.50 for a trip. How many miles did the passenger travel?
A. 6
B. 7
C. 8
D. 9
Q2. The equation 5x − 12 = 3x + 8 has a solution of x = k. What is the value of k?
A. 8
B. 10
C. 12
D. 14
Q3. A line passes through the points (2, 7) and (6, 19). Which equation represents the
line?
A. y = 2x + 3
B. y = 3x + 1
C. y = 3x − 1
D. y = 4x − 1
Q4. The function f is defined by f(x) = ax + 6. If f(4) = 18, what is the value of a?
A. 2
B. 3
C. 4
D. 6
Q5. The table shows values of a linear function f.
x 2 5 8
f(x) 7 16 25
Which equation represents f(x)?
A. f(x) = 2x + 3
B. f(x) = 3x + 1
C. f(x) = 3x + 2
D. f(x) = 4x − 1
, 3
Q6. A line has equation 4x + 2y = 12. What is the y-intercept of the line?
A. 2
B. 4
C. 6
D. 12
Q7. Which equation represents a line perpendicular to y = (2/3)x − 5?
A. y = −(2/3)x + 1
B. y = (3/2)x + 1
C. y = −(3/2)x + 1
D. y = (2/3)x + 1
Q8. A school sells adult tickets for $12 and student tickets for $8. On one day, 150
tickets are sold for a total of $1,520. How many adult tickets were sold?
A. 55
B. 70
C. 80
D. 95
Q9. The system y = 2x + 1 and y = 5x − 8 has solution (x, y). What is the value of x?
A. 2
B. 3
C. 4
D. 5
Q10. For what value of k does the system 2x + 4y = 8 and x + 2y = k have infinitely many
solutions?
A. 1
B. 2
C. 4
D. 8
Q11. The inequality 3x − 7 ≤ 11 is satisfied by which of the following?
A. x ≤ 6
B. x ≤ 18/6
C. x ≥ 6
D. x ≥ 18/3
Q12. In the xy-plane, which point is a solution to the inequality y > 2x − 3?
A. (0, −4)
B. (1, −2)
C. (2, 2)
D. (3, 2)
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Q13. A company's monthly cost C, in dollars, is modeled by C = 4,500 + 18x, where x is
the number of products manufactured. What does 18 represent?
A. The fixed monthly cost
B. The total cost when no products are manufactured
C. The cost per product manufactured
D. The number of products manufactured
Q14. The function g is linear. If g(3) = 11 and g(7) = 27, what is g(10)?
A. 35
B. 37
C. 39
D. 41
Q15. A quantity P is represented by P = 120 − 4t. For which value of t is P = 52?
A. 13
B. 15
C. 17
D. 19
Q16. The equations y = 3x + 2 and y = 3x − 5 represent two lines. Which statement is
true?
A. They intersect at exactly one point.
B. They are perpendicular.
C. They are parallel and distinct.
D. They represent the same line.
Q17. A gym charges a $25 enrollment fee and $18 per month. Which equation gives the
total amount T paid after m months?
A. T = 25m + 18
B. T = 18m + 25
C. T = 43m
D. T = 25 + 18
Q18. If 2(3x − 4) − 5 = 4x + 7, what is x?
A. 8
B. 9
C. 10
D. 11
Q19. The system x + y = 14 and 2x + 3y = 34 has solution (x, y). What is y?
A. 4
B. 5
C. 6
D. 8
