Connecticut State Assessments · Smarter Balanced · Math

Connecticut Smarter Balanced Math Practice Test: Grades 3–8

Build number sense, algebra, geometry, data, probability, and problem-solving skills with five focused 10-question Connecticut Smarter Balanced Math practice sets.

Connecticut Smarter Balanced Math practice sets

This Connecticut Smarter Balanced Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover number and operations, ratios, expressions, equations, functions, geometry, measurement, data, probability, and multi-step problem solving for Grades 3–8.

Skills covered

  • Multiplication, rounding, equivalent fractions, decimals, prime numbers, unit conversions, common multiples, and fraction operations
  • Ratios, scale drawings, expressions, percent change, proportions, unit rates, and the distributive property
  • Equations, inequalities, slope, ordered pairs, functions, real-world rules, and sequences
  • Area, volume, circumference, supplementary angles, coordinate reflections, the Pythagorean theorem, scale, distance, and perimeter
  • Mean, median, probability, percentages, scatter plots, range, representative samples, and multi-step budgets

How to use this page

Complete one 10-question set at a time. Write each step, estimate when useful, and check your answer with an inverse operation, a diagram, a table, or another representation.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Connecticut State Department of Education guidance, official Smarter Balanced materials, accommodations, or testing policies.

For the Connecticut assessment hub, visit Connecticut State Assessments.

3. Test

Connecticut Smarter Balanced Math Practice Questions

A 10-question Connecticut Smarter Balanced Math practice set on equations, inequalities, and functions, with answers and explanations.

Read each task carefully, choose one answer, and review the calculation or reasoning after responding.

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

Solve x + 9 = 24.

Please select an answer first.

Correct answer: A

The correct answer is x = 15.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Subtract 9 from both sides to get x = 15.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Subtract 9 from both sides to get x = 15.

2. QuestionMultiple choice

Solve 5x = 45.

Please select an answer first.

Correct answer: B

The correct answer is x = 9.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Divide both sides by 5 to get x = 9.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Divide both sides by 5 to get x = 9.

3. QuestionMultiple choice

Which value satisfies 2x + 1 > 9?

Please select an answer first.

Correct answer: C

The correct answer is x = 5.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: For x = 5, 2(5) + 1 = 11, which is greater than 9.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

For x = 5, 2(5) + 1 = 11, which is greater than 9.

4. QuestionMultiple choice

A line has slope 3 and y-intercept 2. Which equation represents it?

Please select an answer first.

Correct answer: D

The correct answer is y = 3x + 2.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Slope-intercept form y = mx + b uses m = 3 and b = 2.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Slope-intercept form y = mx + b uses m = 3 and b = 2.

5. QuestionMultiple choice

The table has x-values 0, 1, 2 and y-values 4, 7, 10. What is the rate of change?

Please select an answer first.

Correct answer: A

The correct answer is 3.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The y-values increase by 3 whenever x increases by 1.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The y-values increase by 3 whenever x increases by 1.

6. QuestionMultiple choice

Which ordered pair lies on y = 2x − 1?

Please select an answer first.

Correct answer: B

The correct answer is (3, 5).

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: When x = 3, y = 2(3) − 1 = 5, so (3, 5) is on the line.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

When x = 3, y = 2(3) − 1 = 5, so (3, 5) is on the line.

7. QuestionMultiple choice

Solve 3(x − 2) = 18.

Please select an answer first.

Correct answer: C

The correct answer is x = 8.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Divide by 3 to get x − 2 = 6, then add 2 to get x = 8.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Divide by 3 to get x − 2 = 6, then add 2 to get x = 8.

8. QuestionMultiple choice

A taxi charges a 4-unit starting fee plus 2 units per kilometer. Which expression gives the cost for k kilometers?

Please select an answer first.

Correct answer: D

The correct answer is 4 + 2k.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The fixed fee is 4 and the distance charge is 2k, so the total is 4 + 2k.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

The fixed fee is 4 and the distance charge is 2k, so the total is 4 + 2k.

9. QuestionMultiple choice

Which statement describes the solution to x − 4 ≤ 7?

Please select an answer first.

Correct answer: A

The correct answer is x ≤ 11.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: Adding 4 to both sides gives x ≤ 11.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

Adding 4 to both sides gives x ≤ 11.

10. QuestionMultiple choice

A sequence begins 5, 9, 13, 17. Which rule gives the nth term?

Please select an answer first.

Correct answer: B

The correct answer is 4n + 1.

  1. Understand the problem: Identify the quantities, relationships, or representations the task is asking you to use.
  2. Show the reasoning: The first term is 5 and the common difference is 4, so 4n + 1 gives 5 when n = 1.
  3. Check the result: Use estimation, an inverse operation, or a second representation to confirm the answer.

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

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Frequently asked questions about Connecticut Smarter Balanced Math Practice

Which math skills are covered?

The page covers number and operations, ratios, algebra, equations, functions, geometry, measurement, data, probability, and problem solving for Grades 3–8.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official Smarter Balanced questions?

No. These are original supplemental practice questions. Check the latest Connecticut State Department of Education and Smarter Balanced information for official materials, accommodations, and policies.