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100+ Free Praxis Algebra I Practice Questions
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Sample Praxis Algebra I Practice Questions
Try these sample questions to test your Praxis Algebra I exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Simplify the expression 3x + 5x - 2x.
A.8x
B.10x
C.6x
D.x
Explanation: Combine like terms: 3x + 5x = 8x, then 8x - 2x = 6x. All terms share the variable x, so their coefficients add and subtract directly.
2Solve for x: 4x - 7 = 13.
A.3
B.5
C.6
D.20
Explanation: Add 7 to both sides to get 4x = 20, then divide both sides by 4 to find x = 5. Checking, 4(5) - 7 = 20 - 7 = 13.
3Solve the inequality 2x + 3 < 11.
A.x < 5
B.x > 4
C.x < 7
D.x < 4
Explanation: Subtract 3 from both sides to get 2x < 8, then divide by 2 to get x < 4. Dividing by a positive number does not flip the inequality sign.
4What is the value of the expression 2(x + 4) when x = 3?
A.10
B.14
C.11
D.7
Explanation: Substitute x = 3 to get 2(3 + 4) = 2(7) = 14. The parentheses are evaluated first by order of operations, then multiplied by 2.
5Distribute and simplify: 3(2x - 5).
A.6x - 5
B.6x - 15
C.5x - 15
D.6x - 8
Explanation: Multiply 3 by each term inside the parentheses: 3 times 2x is 6x and 3 times -5 is -15, giving 6x - 15. The distributive property applies to both terms.
6Solve for x: (x/3) + 2 = 6.
A.4
B.8
C.12
D.18
Explanation: Subtract 2 from both sides to get x/3 = 4, then multiply both sides by 3 to find x = 12. Checking, 12/3 + 2 = 4 + 2 = 6.
7Solve for x: 5x + 2 = 3x + 10.
A.2
B.4
C.6
D.8
Explanation: Subtract 3x from both sides to get 2x + 2 = 10, then subtract 2 to get 2x = 8, so x = 4. Checking, 5(4) + 2 = 22 and 3(4) + 10 = 22.
8A student writes an expression for 'five less than twice a number n.' Which expression is correct?
A.5 - 2n
B.2(n - 5)
C.2n - 5
D.2 - 5n
Explanation: 'Twice a number' is 2n, and 'five less than' that quantity means subtracting 5 from 2n, giving 2n - 5. The phrase 'less than' reverses the order of subtraction.
9Solve for x: -3x + 4 = 19.
A.7
B.5
C.-3
D.-5
Explanation: Subtract 4 from both sides to get -3x = 15, then divide by -3 to find x = -5. Checking, -3(-5) + 4 = 15 + 4 = 19.
10Solve the inequality -2x > 8.
A.x > -4
B.x > 4
C.x < -4
D.x < 4
Explanation: Divide both sides by -2, which reverses the inequality sign, giving x < -4. Dividing or multiplying an inequality by a negative number always flips the direction of the sign.
About the Praxis Algebra I Practice Questions
Verified exam format metadata for Praxis Algebra I (5162) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.