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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. 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

Simplify the ratio 12:18.

Please select an answer first.

Correct answer: A

The correct answer is 2:3.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Divide both terms by their greatest common factor, 6, to get 2:3.
  3. Check the result: The correct choice is 2:3.

Divide both terms by their greatest common factor, 6, to get 2:3.

2. QuestionMultiple choice

A price increases from $40 to $50. What is the percent increase?

Please select an answer first.

Correct answer: B

The correct answer is 25%.

  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 increase is $10. Divide 10 by the original 40: 10/40 = 0.25 = 25%.
  3. Check the result: The correct choice is 25%.

The increase is $10. Divide 10 by the original 40: 10/40 = 0.25 = 25%.

3. QuestionMultiple choice

What is the nth-term rule for the arithmetic sequence 5, 9, 13, 17, ...?

Please select an answer first.

Correct answer: C

The correct answer is 4n+14n+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: The common difference is 4. Using n = 1 and the first term 5 gives 4n + 1.
  3. Check the result: The correct choice is 4n+14n+1.

The common difference is 4. Using n = 1 and the first term 5 gives 4n + 1.

4. QuestionMultiple choice

Which rule produces the sequence 7, 12, 17, 22, ... for n = 1, 2, 3, 4?

Please select an answer first.

Correct answer: D

The correct answer is 5n+25n+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: The common difference is 5, and 5(1) + 2 = 7, so the rule is 5n + 2.
  3. Check the result: The correct choice is 5n+25n+2.

The common difference is 5, and 5(1) + 2 = 7, so the rule is 5n + 2.

5. QuestionMultiple choice

A taxi charges a $3 starting fee plus $2.50 per mile. What is the cost of 4 miles?

Please select an answer first.

Correct answer: A

The correct answer is $13.

  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 the model 3 + 2.50m. At m = 4, the cost is 3 + 10 = 13 dollars.
  3. Check the result: The correct choice is $13.

Use the model 3 + 2.50m. At m = 4, the cost is 3 + 10 = 13 dollars.

6. QuestionMultiple choice

Two notebooks cost $3 each and a pen costs $2. What is the total cost?

Please select an answer first.

Correct answer: B

The correct answer is $8.

  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 the notebook price by 2 and add the pen: 2(3) + 2 = 8 dollars.
  3. Check the result: The correct choice is $8.

Multiply the notebook price by 2 and add the pen: 2(3) + 2 = 8 dollars.

7. QuestionMultiple choice

A square has a perimeter of 36 units. What is the side length?

Please select an answer first.

Correct answer: C

The correct answer is 9 units.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: All four sides are equal, so divide 36 by 4 to get 9 units.
  3. Check the result: The correct choice is 9 units.

All four sides are equal, so divide 36 by 4 to get 9 units.

8. QuestionMultiple choice

A rectangle has side lengths x + 2 and x + 5. Which expression represents its area?

Please select an answer first.

Correct answer: D

The correct answer is x2+7x+10x^2+7x+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: Multiply (x + 2)(x + 5): x squared + 5x + 2x + 10 = x squared + 7x + 10.
  3. Check the result: The correct choice is x2+7x+10x^2+7x+10.

Multiply (x + 2)(x + 5): x squared + 5x + 2x + 10 = x squared + 7x + 10.

9. QuestionMultiple choice

Solve the proportion x4=68\frac{x}{4}=\frac{6}{8}

Please select an answer first.

Correct answer: A

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: Since 6/8 simplifies to 3/4, x/4 = 3/4 gives x = 3.
  3. Check the result: The correct choice is 3.

Since 6/8 simplifies to 3/4, x/4 = 3/4 gives x = 3.

10. QuestionMultiple choice

The area of a triangle is A=bh2A=\frac{bh}{2}. What is the area when b = 10 and h = 6?

Please select an answer first.

Correct answer: B

The correct answer is 30 square units.

  1. Identify the algebraic structure: Determine whether the problem asks about an expression, equation, inequality, function, pattern, or model.
  2. Apply the algebraic rule: Substitute the values: A = (10 × 6) / 2 = 30 square units.
  3. Check the result: The correct choice is 30 square units.

Substitute the values: A = (10 × 6) / 2 = 30 square units.

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