Delaware State Assessments · DeSSA · Math · Grade 8

Delaware Grade 8 DeSSA Math Practice Test

Build Grade 8 Delaware DeSSA Math readiness with five focused 10-question practice sets covering rational numbers, algebra, functions, geometry, statistics, probability, and problem solving.

Grade 8 DeSSA Math practice sets

This Delaware Grade 8 DeSSA Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover rational numbers, expressions, equations, functions, geometry, measurement, statistics, probability, and integrated problem solving.

Skills covered

  • Rational numbers, exponent rules, square roots, scientific notation, equivalent expressions, equations, inequalities, ratios, and unit rates
  • Function evaluation, slope, linear equations, intercepts, systems, graphs, relations, proportional functions, and comparing representations
  • Angle relationships, triangles, the Pythagorean theorem, volume, similarity, circles, trapezoids, transformations, parallel lines, and distance
  • Mean, median, range, sampling, probability, associations, interquartile range, graph scales, and outliers
  • Grade 8 review tasks combining decimals, percent change, function machines, perimeter, probability, residuals, sequences, volume, and representative samples

How to use this page

Complete one 10-question set at a time. Write down the operation or representation you used, check units and signs, and review the explanation after each response.

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

For the Delaware assessment hub, visit Delaware State Assessments.

1. Test

Delaware Grade 8 DeSSA Math Practice Questions

A 10-question Delaware Grade 8 DeSSA Math practice set on rational numbers and expressions, with answers and explanations.

Read each problem carefully, choose one answer, and review the explanation after responding.

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

What is the value of negative three fourths plus one half?

Please select an answer first.

Correct answer: A

The correct answer is negative one fourth.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: Rewrite one half as two fourths, then add negative three fourths and two fourths to get negative one fourth.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

Rewrite one half as two fourths, then add negative three fourths and two fourths to get negative one fourth.

2. QuestionMultiple choice

What is the value of two to the third power multiplied by two to the second power?

Please select an answer first.

Correct answer: B

The correct answer is 32.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: For powers with the same base, add the exponents: two to the fifth power equals 32.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

For powers with the same base, add the exponents: two to the fifth power equals 32.

3. QuestionMultiple choice

What is the positive square root of 0.36?

Please select an answer first.

Correct answer: C

The correct answer is 0.6.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: The positive number whose square is 0.36 is 0.6 because 0.6 times 0.6 equals 0.36.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

The positive number whose square is 0.36 is 0.6 because 0.6 times 0.6 equals 0.36.

4. QuestionMultiple choice

Which is the correct scientific notation for 420,000?

Please select an answer first.

Correct answer: D

The correct answer is 4.2 times 10 to the fourth power.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: Move the decimal five places left to obtain 4.2, so the power of ten is five.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

Move the decimal five places left to obtain 4.2, so the power of ten is five.

5. QuestionMultiple choice

Which expression is equivalent to 3(2x minus 4) plus 5?

Please select an answer first.

Correct answer: A

The correct answer is 6x minus 7.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: Distribute 3 to get 6x minus 12, then add 5 to get 6x minus 7.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

Distribute 3 to get 6x minus 12, then add 5 to get 6x minus 7.

6. QuestionMultiple choice

What is the solution to 5x plus 7 equals 32?

Please select an answer first.

Correct answer: B

The correct answer is 7.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: Subtract 7 from both sides to get 5x equals 25, then divide by 5 to get x equals 5.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

Subtract 7 from both sides to get 5x equals 25, then divide by 5 to get x equals 5.

7. QuestionMultiple choice

Which inequality represents the solution to 2x minus 3 is less than 9?

Please select an answer first.

Correct answer: C

The correct answer is x is less than 3.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: Add 3 to get 2x less than 12, then divide by 2 to get x less than 6.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

Add 3 to get 2x less than 12, then divide by 2 to get x less than 6.

8. QuestionMultiple choice

A map uses a scale in which 3 centimeters represent 5 miles. How many miles are represented by 18 centimeters?

Please select an answer first.

Correct answer: D

The correct answer is 24 miles.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: The scale factor is 18 divided by 3, which is 6; 6 times 5 equals 30 miles.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

The scale factor is 18 divided by 3, which is 6; 6 times 5 equals 30 miles.

9. QuestionMultiple choice

A cyclist travels 240 kilometers in 4 hours at a constant rate. What is the unit rate?

Please select an answer first.

Correct answer: A

The correct answer is 60 kilometers per hour.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: Divide distance by time: 240 divided by 4 equals 60 kilometers per hour.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

Divide distance by time: 240 divided by 4 equals 60 kilometers per hour.

10. QuestionMultiple choice

What is the value of negative 2 raised to the second power when the exponent applies to the entire number?

Please select an answer first.

Correct answer: B

The correct answer is negative 4.

  1. Identify the structure: Read the quantities, relationships, diagram information, table, or equation before choosing an operation.
  2. Show the reasoning: The exponent applies to the entire negative number, so negative 2 times negative 2 equals positive 4.
  3. Check the result: Confirm that the answer is reasonable and matches the Delaware Grade 8 DeSSA Math task.

The exponent applies to the entire negative number, so negative 2 times negative 2 equals positive 4.

Previous testNext test

Choose your next study path

Frequently asked questions about Delaware Grade 8 DeSSA Math Practice

Which grade is covered?

This page is organized for Grade 8 Delaware DeSSA Math practice, with algebra, functions, geometry, statistics, probability, and problem-solving tasks.

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 DeSSA questions?

No. These are original supplemental practice questions. Check the latest Delaware Department of Education and official DeSSA information for current materials, accommodations, and policies.