Success on the SAT Math section starts with a rock-solid foundation. The first module is designed to test your core skills in algebra, data analysis, and problem-solving. With 22 questions to solve in 35 minutes, this section is your opportunity to show your command of the fundamentals and unlock the higher-scoring questions in the second module.
Our SAT Math Module 1 Practice Quiz gives you the perfect platform to practice these essential skills. Every question is designed to reflect the style and difficulty of the real exam, focusing on topics like linear equations, functions, ratios, and percentages. You can use a calculator on every question, so it’s a great chance to get comfortable with the built-in Desmos calculator or practice with your own approved device.
Don’t underestimate the importance of this first math module. A strong performance here is critical for achieving a top SAT math score. Use this quiz to identify any gaps in your knowledge, build your speed, and walk into the test with the confidence that you’ve mastered the basics.
This is a timed quiz. You will be given 2100 seconds to answer all questions. Are you ready?
If 2a + 3 = 7, what is the value of 4a?
First, solve for a: 2a = 7 - 3, so 2a = 4, and a = 2. Then, find the value of 4a: 4 * 2 = 8.
A company's profit, P, in dollars, is given by the equation P = 250x - 5000, where x is the number of units sold. If the company sells 100 units, what is its profit?
Substitute x=100 into the equation: P = 250(100) - 5000 = 25000 - 5000 = $20,000.
The point (d, 5) lies on the graph of the function f(x) = 2x + 1. What is the value of d?
Substitute y=5 and x=d into the function: 5 = 2d + 1. Solve for d: 4 = 2d, so d = 2.
A rectangular garden is 10 feet long and 5 feet wide. If a fence is to be built around the entire garden, how many feet of fencing are needed?
The perimeter of a rectangle is 2 * (length + width). Perimeter = 2 * (10 + 5) = 2 * 15 = 30 feet.
(Student-Produced Response) If x/3 = 6, what is the value of x?
Multiply both sides by 3: x = 6 * 3 = 18.
The line in the xy-plane for cylindrical columns passes through (2, 4) and (5, 13). How much greater is the height of a column with a base diameter of 5 feet than the height of a column with a base diameter of 2 feet?
The height for a diameter of 5 feet is 13. The height for a diameter of 2 feet is 4. The difference is 13 - 4 = 9 feet.
Which of the following is an equation of a line that is parallel to the line y = -3x + 4?
Parallel lines have the same slope. The slope of the given line is -3. The only answer choice with a slope of -3 is y = -3x - 4.
(Student-Produced Response) The mean of 5 numbers is 10. If four of the numbers are 7, 8, 12, and 15, what is the fifth number?
The sum of the 5 numbers is 5 * 10 = 50. The sum of the four given numbers is 7 + 8 + 12 + 15 = 42. The fifth number is 50 - 42 = 8.
A t-shirt company has a fixed cost of $500 per day plus a variable cost of $3 per t-shirt. Which equation represents the total cost, C, to produce x t-shirts in a day?
The total cost is the sum of the fixed cost ($500) and the total variable cost (3 times the number of t-shirts, x). So, C = 500 + 3x.
A store offers a 20% discount on all items. If a jacket originally costs $75, what is the price after the discount?
The discount amount is 20% of $75, which is 0.20 * 75 = $15. The final price is $75 - $15 = $60.
(Student-Produced Response) In a triangle with angles 40°, 90°, and x°, what is the value of x?
The sum of angles in a triangle is 180°. So, 40 + 90 + x = 180. This simplifies to 130 + x = 180. Thus, x = 50.
If f(x) = 3x² - 5, what is the value of f(-2)?
Substitute x = -2 into the function: f(-2) = 3(-2)² - 5 = 3(4) - 5 = 12 - 5 = 7.
Which of the following equations has a graph in the xy-plane for which y is always greater than or equal to 0?
The graph of y = (x-2)² is a parabola opening upwards with its vertex at (2, 0). The vertex is the minimum point, so y is always greater than or equal to 0.
If y = kx and y=12 when x=4, what is the value of y when x=10?
First, find the constant of proportionality, k. 12 = k(4), so k = 3. The equation is y = 3x. When x=10, y = 3(10) = 30.
(Student-Produced Response) A recipe calls for 2 cups of flour to make 24 cookies. How many cups of flour are needed to make 36 cookies?
Set up a proportion: (2 cups / 24 cookies) = (x cups / 36 cookies). Simplify the ratio to 1/12 = x/36. Solve for x: x = 36 / 12 = 3.
Which of the following is equivalent to the expression (x² + 2x - 1) - (x² - x + 2)?
Distribute the negative sign: x² + 2x - 1 - x² + x - 2. Combine like terms: (x² - x²) + (2x + x) + (-1 - 2) = 3x - 3.
A poll of 200 voters showed 120 preferred Candidate A. If this represents an electorate of 30,000 voters, what is the best estimate of voters who prefer Candidate A?
The proportion of voters who prefer Candidate A is 120/200 = 0.6 or 60%. The best estimate for the electorate is 60% of 30,000, which is 0.60 * 30,000 = 18,000.
A circle has a circumference of 16π. What is the radius of the circle?
The formula for circumference is C = 2πr. Given C = 16π, we have 16π = 2πr. Divide both sides by 2π to get r = 8.
(Student-Produced Response) If 2(x - 1) > 8, what is the smallest integer value of x?
Divide both sides by 2: x - 1 > 4. Add 1 to both sides: x > 5. The smallest integer greater than 5 is 6.
A dataset consists of the numbers {5, 8, 8, 10, 14}. What is the median of the dataset?
The median is the middle number in a sorted dataset. The numbers are already sorted. The middle number is 8.
The value of an investment is predicted to increase by 10% each year. If the initial investment is $1,000, which equation represents the value, V, of the investment after t years?
For an increase of 10%, the growth factor is 1 + 0.10 = 1.10. The formula for exponential growth is Initial * (growth factor)^time. So, V = 1000(1.10)^t.
In a right triangle, the side opposite angle θ has a length of 12, and the side adjacent to angle θ has a length of 5. What is the value of cos(θ)?
First find the hypotenuse using the Pythagorean theorem: 5² + 12² = c², so 25 + 144 = 169, and c = 13. Cosine is adjacent/hypotenuse, so cos(θ) = 5/13.
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