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Quizzes > Quizzes for Business > Education

Master Your SAT Math Practice Test

Sharpen Algebra and Geometry Skills Today

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art displaying a quiz on SAT Math Practice Test

Ready to boost your SAT math score? This SAT math practice test features 15 multiple-choice questions covering algebra, geometry, and data analysis to sharpen your problem-solving skills. Perfect for high school students aiming for top test results, it offers instant feedback and detailed explanations. Feel free to customize any question in our editor to tailor the challenge, or explore related SAT Practice Quiz and Math Skills Practice Quiz . Also, browse more quizzes for endless prep opportunities.

Solve for x: 2x + 5 = 13.
4
6
3
8
Subtracting 5 from both sides gives 2x = 8, and dividing by 2 yields x = 4. This directly solves the linear equation.
What is the measure of the complementary angle of 30 degrees?
60°
120°
30°
90°
Complementary angles sum to 90 degrees, so the angle that complements 30 degrees is 60 degrees. This uses the definition of complementary angles.
Find the mean of the data set {2, 4, 6, 8}.
5
20
6
4
The mean is the sum of the data (2+4+6+8 = 20) divided by the number of entries (4), yielding 5. This applies the definition of average.
If f(x) = x^2, what is f(3)?
9
6
3
12
Evaluating f(3) means squaring 3: 3^2 = 9. This directly applies the function definition f(x)=x^2.
Given y = 2x + 3, what is y when x = 1?
5
2
3
7
Substituting x = 1 into y = 2x + 3 gives y = 2(1) + 3 = 5. This solves the linear expression by direct substitution.
Solve for x in the system: 2x + y = 5 and x - y = 1.
2
1
-2
3
Adding the two equations eliminates y and gives 3x = 6, so x = 2. This uses the method of elimination for systems of equations.
What is the area of a triangle with base 10 and height 6?
30
60
16
40
The area of a triangle is (1/2)×base×height = (1/2)×10×6 = 30. This applies the area formula for triangles.
A company sold 50 units in January and 70 units in February. What is the percent increase from January to February?
40%
20%
25%
30%
Percent increase is ((70 - 50) / 50) × 100% = 40%. This applies the percent change formula.
For the function g(x) = 3x - 4, what is g(2)?
2
6
1
8
Substitute x = 2 into g(x): 3(2) - 4 = 6 - 4 = 2. This evaluates the linear function at the given input.
Solve for x: 5x - 7 = 3x + 5.
6
-6
1
12
Subtracting 3x from both sides gives 2x - 7 = 5, then adding 7 gives 2x = 12 and x = 6. This solves the linear equation via isolation.
If a circle has radius 5, what is its circumference?
10π
25π
5π
20π
Circumference is 2πr = 2π×5 = 10π. This uses the formula for the perimeter of a circle.
What is the median of the data set {3, 7, 8, 12, 15}?
8
7
10
12
The median is the middle value in an ordered list, which is 8 for this five-element set. This uses the definition of median.
Evaluate f(x) = x^2 - 2x + 1 at x = -1.
4
0
2
-4
Plugging in x = -1 gives (-1)^2 - 2(-1) + 1 = 1 + 2 + 1 = 4. This directly computes the polynomial at the specified point.
A line has slope 2 and passes through the point (0, 3). What is its equation?
y = 2x + 3
y = x + 3
y = 2x - 3
y = 3x + 2
Using point-slope form y = mx + b with m = 2 and b = 3 gives y = 2x + 3. This describes the line through (0,3) with the given slope.
A dataset contains the values {2, 2, 3, 4, 4, 4, 5}. What is the mode?
4
2
3
5
The mode is the most frequently occurring value, which is 4 appearing three times. This uses the definition of mode in a data set.
Solve for x: 2x^2 - 3x - 5 = 0.
x = 2.5 or x = -1
x = 1 or x = -2
x = 5 or x = -1
x = 2 or x = -2.5
Apply the quadratic formula: x = [3 ± √(9 + 40)]/4 = (3 ± 7)/4, yielding x = 10/4 = 2.5 or x = -4/4 = -1. This finds both real roots.
If f(x) = 2x + 3 and g(x) = x^2, what is (f ∘ g)(2)?
11
7
8
16
First compute g(2) = 2^2 = 4, then f(4) = 2×4 + 3 = 11. This uses function composition to find the result.
A game costs $1 to play. You win $2 with probability 1/2 and win nothing with probability 1/2. What is your expected net gain?
$0
$1
-$1
$0.50
Expected net gain = (1/2×($2−$1)) + (1/2×($0−$1)) = (1/2×1) + (1/2×−1) = 0. This calculates the average result over many plays.
Find x if the midpoint of the segment connecting (2, -1) and (x, 3) is (5, 1).
8
10
6
4
Midpoint formula gives (2 + x)/2 = 5, so x = 8. The y-coordinates also satisfy (−1 + 3)/2 = 1, confirming consistency. This uses the midpoint calculation.
If f(x) = 3x - 4, what is f^{-1}(10)?
14/3
2
7
6
Set y = 3x - 4 and solve for x: x = (y + 4)/3. Substituting y = 10 gives (10 + 4)/3 = 14/3. This finds the inverse function value.
0
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Learning Outcomes

  1. Analyze algebraic expressions to solve for variables.
  2. Interpret geometry questions involving angles and shapes.
  3. Apply data analysis skills to real-world scenarios.
  4. Evaluate functions and graph their behavior correctly.
  5. Master quantitative reasoning strategies under timed conditions.

Cheat Sheet

  1. Master the Pythagorean Theorem - Summon your inner math wizard by recalling that in a right triangle, the squares of the legs add up to the square of the hypotenuse: a² + b² = c². This nifty formula turns triangles into secret codes - just plug in 3 and 4 to reveal the magical 5! Flex those problem-solving muscles and watch geometry bow to your command. Critical SAT Math Formulas You Must Know
    2. blog.prepscholar.com
  2. Understand Special Right Triangles - Level up by memorizing the 45°-45°-90° and 30°-60°-90° side ratios - your trusty shortcuts for quick answers. In a 45°-45°-90°, the legs match and the hypotenuse is leg×√2; in a 30°-60°-90°, the sides dance in a 1:√3:2 ratio. With these patterns in your toolkit, you'll slice through problems like a pro chef. Critical SAT Math Formulas You Must Know
    3. blog.prepscholar.com
  3. Learn the Quadratic Formula - Tackle any quadratic ax² + bx + c = 0 by unleashing x = (−b ± √(b²−4ac))❄(2a). This all-powerful formula swoops in when factoring flies out the window. Practice plugging in values, and soon you'll solve parabolic puzzles in a flash! Critical SAT Math Formulas You Must Know
    4. blog.prepscholar.com
  4. Grasp the Slope-Intercept Form - Become a graphing guru with y = mx + b, where m is the slope's "steepness" and b is where the line greets the y-axis. Plot a couple of points, draw the line, and boom - linear relationships demystified. It's like drawing treasure maps for algebra! Critical SAT Math Formulas You Must Know
    5. blog.prepscholar.com
  5. Memorize Key Geometry Formulas - Carve these areas into your memory: Triangle: A = ½bh; Rectangle: A = lw; Circle: A = πr². With these formulas on speed-dial, you'll slice and dice shapes in no time. Geometry feels less like a puzzle and more like a playground when you know the rules! Critical SAT Math Formulas You Must Know
    6. blog.prepscholar.com
  6. Understand Data Interpretation - Become a chart charmer by practicing with tables, bar graphs, and pie charts. Learn to spot trends, compare values, and draw quick conclusions. This skill is your secret weapon for conquering SAT data-analysis questions without breaking a sweat. Important SAT Math Formulas & Facts
    7. magoosh.com
  7. Familiarize Yourself with Function Behavior - Dive into f(x) by identifying intercepts, slopes, and asymptotes so you can read graphs like open books. Evaluating functions becomes second nature when you practice plugging in values and sketching quick curves. Soon you'll predict a graph's mood swing before it even shows up! Important SAT Math Formulas & Facts
    8. magoosh.com
  8. Practice Time Management - Beat the clock by setting mini-timers and ranking questions by difficulty. Know when to leap ahead if one problem locks you in a mental maze. A little time discipline helps you cruise through easy points and save brainpower for the big bosses. Important SAT Math Formulas & Facts
    9. magoosh.com
  9. Review Probability and Statistics - Roll the dice on practice problems covering basic probability rules and measures of central tendency - mean, median, mode, and range. Crunching these numbers regularly will make stats questions feel like friendly brain teasers. Soon you'll toss around probabilities like a pro gambler! Important SAT Math Formulas & Facts
    10. magoosh.com
  10. Utilize the FOIL Method - Expand two binomials with flair: First, Outer, Inner, Last. For example, (x + 3)(x + 2) bursts into x² + 2x + 3x + 6 = x² + 5x + 6. Practice this rhythmic dance, and multiplication will feel as smooth as your favorite song. Important SAT Math Formulas & Facts
    11. magoosh.com
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