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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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5 Tests
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1. Test

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

In the expression 7x+37x+3

Please select an answer first.

Correct answer: A

The correct answer is 7 is the coefficient of x..

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: The coefficient is the numerical factor multiplied by the variable, so 7 is the coefficient of x.
  3. Check the result: The correct choice is 7 is the coefficient of x..

The coefficient is the numerical factor multiplied by the variable, so 7 is the coefficient of x.

2. QuestionMultiple choice

Evaluate 3+2⋅43+2\cdot4

Please select an answer first.

Correct answer: B

The correct answer is 11.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Multiplication comes before addition, so the expression is 3 + 8 = 11.
  3. Check the result: The correct choice is 11.

Multiplication comes before addition, so the expression is 3 + 8 = 11.

3. QuestionMultiple choice

Simplify 4x+3x−24x+3x-2

Please select an answer first.

Correct answer: C

The correct answer is 7x−27x-2.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Combine the like terms 4x and 3x to get 7x, while the constant -2 remains.
  3. Check the result: The correct choice is 7x−27x-2.

Combine the like terms 4x and 3x to get 7x, while the constant -2 remains.

4. QuestionMultiple choice

Use the distributive property to expand 3(x+4)3(x+4)

Please select an answer first.

Correct answer: D

The correct answer is 3x+123x+12.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Multiply 3 by both terms inside the parentheses: 3x + 3(4) = 3x + 12.
  3. Check the result: The correct choice is 3x+123x+12.

Multiply 3 by both terms inside the parentheses: 3x + 3(4) = 3x + 12.

5. QuestionMultiple choice

What is the additive identity?

Please select an answer first.

Correct answer: A

The correct answer is 0.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Adding zero leaves a number unchanged, so 0 is the additive identity.
  3. Check the result: The correct choice is 0.

Adding zero leaves a number unchanged, so 0 is the additive identity.

6. QuestionMultiple choice

What is the multiplicative identity?

Please select an answer first.

Correct answer: B

The correct answer is 1.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Multiplying by one leaves a number unchanged, so 1 is the multiplicative identity.
  3. Check the result: The correct choice is 1.

Multiplying by one leaves a number unchanged, so 1 is the multiplicative identity.

7. QuestionMultiple choice

Which expression means five less than twice n?

Please select an answer first.

Correct answer: C

The correct answer is 2n−52n-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: Twice n is 2n, and five less than that is 2n - 5.
  3. Check the result: The correct choice is 2n−52n-5.

Twice n is 2n, and five less than that is 2n - 5.

8. QuestionMultiple choice

Evaluate 2a22a^2 when a = 3.

Please select an answer first.

Correct answer: D

The correct answer is 18.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: First square 3 to get 9, then multiply by 2: 2(9) = 18.
  3. Check the result: The correct choice is 18.

First square 3 to get 9, then multiply by 2: 2(9) = 18.

9. QuestionMultiple choice

For which value of x is 1x−2\frac{1}{x-2} undefined?

Please select an answer first.

Correct answer: A

The correct answer is 2.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: A rational expression is undefined when its denominator is zero, so x - 2 = 0 gives x = 2.
  3. Check the result: The correct choice is 2.

A rational expression is undefined when its denominator is zero, so x - 2 = 0 gives x = 2.

10. QuestionMultiple choice

Which pair contains like terms?

Please select an answer first.

Correct answer: B

The correct answer is 5x5x and −2x-2x.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Like terms have the same variable part and exponent. The terms 5x and -2x both contain x to the first power.
  3. Check the result: The correct choice is 5x5x and −2x-2x.

Like terms have the same variable part and exponent. The terms 5x and -2x both contain x to the first power.

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