SAT Practice Test 1: SAT Math
44 questions · 2 modules · 35 minutes each · calculator and formulas on screen · score and step-by-step answers
How it works
- Like the digital SAT Math section: 2 modules of 22 questions, 35 minutes each. Module 2 is a little harder. Solve it right here on the screen: no sign-up.
- One question at a time. Use Back and Next, or the question list at the bottom. Mark for review the ones you want to look at again.
- A timer counts down (you can hide it; it shows again in the last 5 minutes). At 0:00 the module ends. Before you submit a module, Check your work shows what is answered.
- Most questions have 4 choices. For 13 questions you type the answer: a whole number, a fraction like 7/2 or a decimal like 3.5. No mixed numbers (3 1/2 is read as 31/2), no units, no $ or %. A decimal that does not fit 5 characters (6 with a minus sign) is cut to fit: 2/3 can be 2/3, .6666 or .6667.
- Tools: a calculator and a reference sheet of formulas, at the top of the screen. A wrong answer costs nothing, so answer every question.
- At the end: your score estimate (200-800), your result in each area, and every question marked right or wrong, with your answer, the right answer and its step-by-step solution.
Your answers are kept in this browser, so you can close the page and come back.
Reference sheet
- Circle: A = πr2, C = 2πr
- Rectangle: A = ℓw
- Triangle: A = 12bh
- Pythagoras: c2 = a2 + b2
- 30°-60°-90° triangle: sides x, x√3, 2x
- 45°-45°-90° triangle: sides s, s, s√2
- Box: V = ℓwh
- Cylinder: V = πr2h
- Sphere: V = 43πr3
- Cone: V = 13πr2h
- Pyramid: V = 13ℓwh
- Angles: a circle has 360° = 2π radians; the angles of a triangle add up to 180°
Module 1
1 Question 1
4x + 9 = 33. What is the solution to the given equation?- A) 6
- B) 212
- C) 24
- D) 96
2 Question 2
What is 35% of 60?Type the answer.
3 Question 3
A dog walker charges $8 plus $6 per hour. A walk costs $38. How many hours was the walk?- A) 5
- B) 193
- C) 233
- D) 30
4 Question 4
Which expression is equivalent to (x2)(x6)?- A) x8
- B) 2x8
- C) x12
- D) 2x12
5 Question 5
Two angles form a straight line. One measures 112° and the other measures x°. What is the value of x?Type the answer.
6 Question 6
The function f is defined by f(x) = 3x − 7. What is the value of f(5)?- A) −4
- B) 1
- C) 8
- D) 22
7 Question 7
What is the slope of the line through (1, 2) and (4, 11)?- A) 13
- B) 3
- C) 9
- D) 133
8 Question 8
x2 − 7x + 10 = 0. What are the solutions to the given equation?- A) −5 and −2
- B) 1 and 10
- C) 2 and 5
- D) 3 and 4
9 Question 9
A $80 jacket goes up 25%, then down 20%. What is the new price?- A) $64
- B) $80
- C) $84
- D) $100
10 Question 10
y = 2x − 1, 3x + y = 14. What is the solution (x, y) to the given system of equations?- A) (3, 5)
- B) (3, 7)
- C) (5, 3)
- D) (15, 29)
11 Question 11
Which expression is equivalent to 4(3x − 2) − 5x?- A) 7x − 8
- B) 7x − 2
- C) 7x + 8
- D) 17x − 8
12 Question 12
2x5 = 6. What is the solution to the given equation?Type the answer.
13 Question 13
A town has 3000 people, and its population grows by 4% each year. Which equation gives the population P of the town t years from now?- A) P = 3000(0.04)t
- B) P = 3000(0.96)t
- C) P = 3000(1.04)t
- D) P = 3000(1.4)t
14 Question 14
Students were asked how they get to school. Juniors: 14 by bus, 6 by car. Seniors: 9 by bus, 21 by car. A senior is picked at random. What is the probability that this senior goes by car?- A) 310
- B) 2150
- C) 710
- D) 79
15 Question 15
If 5x − 10 = 35, what is the value of x − 2?Type the answer.
16 Question 16
A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?Type the answer.
17 Question 17
√(x + 7) = x + 1. What is the solution to the given equation?- A) −3
- B) −3 and 2
- C) 2
- D) 3
18 Question 18
In the equation x2 + 14x + c = 0, c is a constant. The equation has exactly one solution. What is the value of c?- A) 7
- B) 14
- C) 49
- D) 196
19 Question 19
In the system of equations 3x + 2y = 7 and 6x + ky = 5, k is a constant. The system has no solution. What is the value of k?- A) −4
- B) 2
- C) 4
- D) 6
20 Question 20
A is an acute angle in a right triangle, and sin A = 5/13. What is the value of tan A?- A) 512
- B) 1213
- C) 1312
- D) 125
21 Question 21
The functions f and g are defined by f(x) = 2x + 1 and g(x) = x2. What is the value of f(g(3))?Type the answer.
22 Question 22
5(x − 2) = 5x + k. In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?Type the answer.
Module 2
1 Question 1
5x − 3 = 2x + 12. What is the solution to the given equation?- A) 97
- B) 3
- C) 5
- D) 15
2 Question 2
y varies directly with x. When x = 5, y = 15. What is the value of y when x = 8?Type the answer.
3 Question 3
Which expression is equivalent to (3x2)3?- A) 9x5
- B) 9x6
- C) 27x5
- D) 27x6
4 Question 4
The table shows a linear relationship between x and y. x: 0, 1, 2, 3. y: 40, 35, 30, 25. Which equation shows this relationship?- A) y = −5x + 25
- B) y = −5x + 40
- C) y = 5x + 40
- D) y = 40x − 5
5 Question 5
A 45°-45°-90° triangle has legs of length 5. What is the length of the hypotenuse?- A) 5
- B) 5√2
- C) 5√3
- D) 10
6 Question 6
Which equation shows y = x2 + 6x + 5 in vertex form?- A) y = (x − 3)2 − 4
- B) y = (x + 3)2 − 4
- C) y = (x + 3)2 + 5
- D) y = (x + 6)2 − 31
7 Question 7
A tutor charges $20 plus $15 an hour. The bill was $80. How many hours was the job?Type the answer.
8 Question 8
A coat costs $120. It is 35% off. What is the sale price?- A) $42
- B) $78
- C) $85
- D) $162
9 Question 9
A ball is thrown up from the ground. Its height after t seconds is h = −16t2 + 96t feet. When does it land?- A) 3 seconds
- B) 6 seconds
- C) 16 seconds
- D) 96 seconds
10 Question 10
In the system of equations 2x − y = 3 and 6x + ky = 9, k is a constant. The system has infinitely many solutions. What is the value of k?Type the answer.
11 Question 11
5x − 1 = 125. What is the solution to the given equation?- A) 2
- B) 3
- C) 4
- D) 25
12 Question 12
Two triangles are similar. The first has sides 5, 12 and 13. The matching sides of the second are 15, 36 and x. What is the value of x?Type the answer.
13 Question 13
Which expression is equivalent to x2 − 16x + 4?- A) x − 16
- B) x − 4
- C) x + 4
- D) x2 − 4
14 Question 14
People were asked if they like a new street plan. People who walk: 18 yes, 12 no. People who drive: 27 yes, 43 no. One of the people who walk is picked at random. What is the probability that this person said yes?- A) 950
- B) 25
- C) 35
- D) 910
15 Question 15
If 6a + 9b = 24, what is the value of 2a + 3b?- A) 8
- B) 12
- C) 21
- D) 72
16 Question 16
x2 − 6x + 10 = 0. How many solutions does the given equation have?- A) zero
- B) exactly one
- C) exactly two
- D) infinitely many
17 Question 17
x + 2y = 8, −x + y = 1. What is the solution (x, y) to the given system of equations?- A) (−2, 3)
- B) (2, 3)
- C) (3, 2)
- D) (3, 4)
18 Question 18
The angles of a triangle measure 3x°, 4x° and 5x°. What is the value of x?- A) 12
- B) 15
- C) 30
- D) 60
19 Question 19
The graph of y = f(x) passes through the points (−2, 5), (−1, 0), (0, −3), (1, −4), (2, −3), (3, 0) and (4, 5). For which values of x is f(x) = 0?- A) −3
- B) −1 and 3
- C) 1
- D) −2 and 4
20 Question 20
In the equation sin x° = cos(3x − 10)°, x is between 0 and 90. What is the value of x?Type the answer.
21 Question 21
What is the remainder when x3 + 2x2 − 5x + 1 is divided by x − 2?- A) 1
- B) 7
- C) 11
- D) 27
22 Question 22
3(2x + 1) = kx + 5. In the given equation, k is a constant. The equation has no solution. What is the value of k?Type the answer.
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