These Grade 9 Math practice tests cover one-step and multi-step linear equations, variables on both sides, identities, contradictions, fractions, decimals, compound inequalities, absolute value, number-line graphs, literal equations, formulas, and real-world models.
Simplify both sides first, perform the same operation on both sides, reverse the inequality sign when multiplying or dividing by a negative number, and substitute the final answer into the original equation or model.
For more Grade 9 Math practice, return to the Grade 9 Math category.
3. Test
Practice Grade 9 Math questions about multi-step linear equations, equations with variables on both sides, inequalities, absolute value, formulas, and algebraic models.
Choose the best answer. Keep equations balanced, reverse an inequality when dividing by a negative, show formula steps, and verify the result in context.
Please select an answer first.
Correct answer: A
The correct answer is .
Add 4 to both sides, giving x > 11.
Please select an answer first.
Correct answer: B
The correct answer is .
Divide by positive 3, so the inequality direction stays the same and x ≤ 6.
Please select an answer first.
Correct answer: C
The correct answer is .
Dividing by -2 reverses the inequality sign, giving x > -5.
Please select an answer first.
Correct answer: D
The correct answer is .
Subtract 1 to get 5x ≥ 15, then divide by 5 to obtain x ≥ 3.
Please select an answer first.
Correct answer: A
The correct answer is .
Subtract 2 from all three parts to get -3 ≤ x < 3.
Please select an answer first.
Correct answer: B
The correct answer is x = 7 or x = -3.
Set x - 2 equal to 5 and -5. This gives x = 7 or x = -3.
Please select an answer first.
Correct answer: C
The correct answer is .
Divide the absolute-value inequality by 2: |x| ≤ 4, which means -4 ≤ x ≤ 4.
Please select an answer first.
Correct answer: D
The correct answer is An open dot at -1 with shading to the left..
The open dot excludes -1, and shading left represents values less than -1.
Please select an answer first.
Correct answer: A
The correct answer is .
The first inequality gives x > 2. Combining it with x ≤ 6 gives 2 < x ≤ 6.
Please select an answer first.
Correct answer: B
The correct answer is No solution.
Subtracting 3x gives 1 < -2, which is false for every value of x.
