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Algebra 1 Practice Tests

These Grade 9 Math practice tests cover variables, algebraic expressions, order of operations, properties, one-variable equations and inequalities, absolute value, functions, slope, sequences, ratios, proportions, geometry formulas, and real-world algebra models.

Skills covered

  • Evaluating, simplifying, and translating algebraic expressions
  • Solving equations, inequalities, identities, and contradictions
  • Representing solutions on number lines and interpreting absolute value
  • Recognizing functions, calculating slope, and using linear rules
  • Modeling rates, percentages, sequences, proportions, geometry, and costs

How to use these practice tests

Translate the wording into an expression or equation, apply the same operation to both sides when solving, reverse an inequality sign when dividing by a negative number, and substitute your answer back to check it.

For more Grade 9 Math practice, return to the Grade 9 Math category.

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Grade 9 Algebra 1 Practice Tests

Practice Grade 9 Math questions about algebraic expressions, properties, equations, inequalities, functions, slope, sequences, ratios, and word-problem models.

Choose the best answer. Show algebraic reasoning, apply the correct operation or property, and check whether the result fits the equation, graph, or context.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Solve x+7=12x+7=12

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Subtract 7 from both sides to isolate x: x = 12 - 7 = 5.
  3. Check the result: The correct choice is 5.

Subtract 7 from both sides to isolate x: x = 12 - 7 = 5.

2. QuestionMultiple choice

Solve 3x=213x=21

Please select an answer first.

Correct answer: B

The correct answer is 7.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Divide both sides by 3 to get x = 21 / 3 = 7.
  3. Check the result: The correct choice is 7.

Divide both sides by 3 to get x = 21 / 3 = 7.

3. QuestionMultiple choice

Solve 2x−5=92x-5=9

Please select an answer first.

Correct answer: C

The correct answer is 7.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Add 5 to both sides to get 2x = 14, then divide by 2 to get x = 7.
  3. Check the result: The correct choice is 7.

Add 5 to both sides to get 2x = 14, then divide by 2 to get x = 7.

4. QuestionMultiple choice

Solve 4(x−2)=204(x-2)=20

Please select an answer first.

Correct answer: D

The correct answer is 7.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Divide by 4 to get x - 2 = 5, then add 2 to obtain x = 7.
  3. Check the result: The correct choice is 7.

Divide by 4 to get x - 2 = 5, then add 2 to obtain x = 7.

5. QuestionMultiple choice

Solve 3x+4=2x+93x+4=2x+9

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Subtract 2x and 4 from both sides: x = 5.
  3. Check the result: The correct choice is 5.

Subtract 2x and 4 from both sides: x = 5.

6. QuestionMultiple choice

Solve 5(2x−1)=3x+165(2x-1)=3x+16

Please select an answer first.

Correct answer: B

The correct answer is 3.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Distribute to get 10x - 5 = 3x + 16, so 7x = 21 and x = 3.
  3. Check the result: The correct choice is 3.

Distribute to get 10x - 5 = 3x + 16, so 7x = 21 and x = 3.

7. QuestionMultiple choice

Which equation has no solution?

Please select an answer first.

Correct answer: C

The correct answer is 2x+3=2x−42x+3=2x-4.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Subtracting 2x from both sides gives 3 = -4, a contradiction, so no value of x works.
  3. Check the result: The correct choice is 2x+3=2x−42x+3=2x-4.

Subtracting 2x from both sides gives 3 = -4, a contradiction, so no value of x works.

8. QuestionMultiple choice

Which equation is an identity with infinitely many solutions?

Please select an answer first.

Correct answer: D

The correct answer is 4(x+1)=4x+44(x+1)=4x+4.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Distributing the left side produces 4x + 4, which matches the right side for every value of x.
  3. Check the result: The correct choice is 4(x+1)=4x+44(x+1)=4x+4.

Distributing the left side produces 4x + 4, which matches the right side for every value of x.

9. QuestionMultiple choice

Solve x3+2=5\frac{x}{3}+2=5

Please select an answer first.

Correct answer: A

The correct answer is 9.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Subtract 2 to get x/3 = 3, then multiply by 3 to obtain x = 9.
  3. Check the result: The correct choice is 9.

Subtract 2 to get x/3 = 3, then multiply by 3 to obtain x = 9.

10. QuestionMultiple choice

A rectangle has width 5 and perimeter 30. Which is its length?

Please select an answer first.

Correct answer: B

The correct answer is 10.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Use 2l + 2w = 30. Substituting w = 5 gives 2l + 10 = 30, so l = 10.
  3. Check the result: The correct choice is 10.

Use 2l + 2w = 30. Substituting w = 5 gives 2l + 10 = 30, so l = 10.

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