NumicornNumicornLearn, solve, progress

Delaware State Assessments · PSAT · Grade 10

Delaware PSAT Practice Test: Grade 10

Build Grade 10 Delaware PSAT readiness with five focused 10-question practice sets covering reading, writing, algebra, functions, geometry, data analysis, problem solving, and evidence.

Grade 10 PSAT practice sets

This Delaware PSAT Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover reading evidence, writing and language, algebra, functions, geometry, data analysis, problem solving, and integrated review.

Skills covered

  • Reading and evidence: central ideas, inferences, evidence selection, text structure, vocabulary, competing explanations, graphs, paired passages, limitations, and transitions
  • Writing and language: agreement, modifier placement, punctuation, transitions, sentence combination, pronoun clarity, concision, sentence placement, and conclusions
  • Math: linear equations, functions, slope, systems, percent, inequalities, quadratics, exponential models, ratios, expressions, geometry, probability, statistics, regression, and volume
  • Integrated review: evidence-based claims, grammar in context, linear models, data changes, area, probability, savings, functions, correlation, and revision

How to use this page

Complete one 10-question set at a time. For reading and writing, identify the evidence or revision rule. For math, write the equation, check units, 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 College Board, Delaware Department of Education, official PSAT materials, accommodations, or testing policies.

For the Delaware assessment hub, visit Delaware State Assessments.

Select a test

5 Tests
1. Test2. Test3. Test4. Test5. Test

3. Test

Delaware PSAT Grade 10 Practice Questions

A 10-question Delaware PSAT Grade 10 practice set on math algebra and functions, with answers and explanations.

Read each passage or 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 solution to 4x minus 7 equals 21?

Please select an answer first.

Correct answer: A

The correct answer is 7.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Add 7 to get 4x equals 28, then divide by 4 to get x equals 7.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Add 7 to get 4x equals 28, then divide by 4 to get x equals 7.

2. QuestionMultiple choice

If g(x) equals 3x plus 1, what is g(5)?

Please select an answer first.

Correct answer: B

The correct answer is 16.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Substitute 5: 3 times 5 plus 1 equals 16.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Substitute 5: 3 times 5 plus 1 equals 16.

3. QuestionMultiple choice

What is the slope of the line through (0, 4) and (3, 10)?

Please select an answer first.

Correct answer: C

The correct answer is 2.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: The change in y is 6 and the change in x is 3, so the slope is 2.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

The change in y is 6 and the change in x is 3, so the slope is 2.

4. QuestionMultiple choice

What is the solution to the system 2x plus y equals 13 and x minus y equals 2?

Please select an answer first.

Correct answer: D

The correct answer is (5, 3).

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Add the equations to get 3x equals 15, so x equals 5; then y equals 3.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Add the equations to get 3x equals 15, so x equals 5; then y equals 3.

5. QuestionMultiple choice

A jacket originally costs 80 and is discounted by 15 percent. What is the sale price?

Please select an answer first.

Correct answer: A

The correct answer is 68.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: A 15 percent discount is 12, so subtract 12 from 80 to get 68.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

A 15 percent discount is 12, so subtract 12 from 80 to get 68.

6. QuestionMultiple choice

Which inequality represents 3x plus 2 is less than 14?

Please select an answer first.

Correct answer: B

The correct answer is x is less than 4.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Subtract 2 and divide by 3: 3x less than 12, so x is less than 4.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Subtract 2 and divide by 3: 3x less than 12, so x is less than 4.

7. QuestionMultiple choice

What are the solutions to x squared minus 7x plus 12 equals 0?

Please select an answer first.

Correct answer: C

The correct answer is 3 and 4.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Factor as (x minus 3)(x minus 4), giving solutions 3 and 4.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Factor as (x minus 3)(x minus 4), giving solutions 3 and 4.

8. QuestionMultiple choice

A quantity starts at 50 and doubles every 3 hours. Which expression represents the quantity after t hours?

Please select an answer first.

Correct answer: D

The correct answer is 50 plus 2t.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: There are t divided by 3 doubling periods, so the expression is 50 times 2 to the t over 3 power.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

There are t divided by 3 doubling periods, so the expression is 50 times 2 to the t over 3 power.

9. QuestionMultiple choice

A map uses 1 centimeter for every 4 kilometers. How many kilometers are represented by 7 centimeters?

Please select an answer first.

Correct answer: A

The correct answer is 28.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Multiply 7 centimeters by 4 kilometers per centimeter to get 28 kilometers.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Multiply 7 centimeters by 4 kilometers per centimeter to get 28 kilometers.

10. QuestionMultiple choice

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

Please select an answer first.

Correct answer: B

The correct answer is x plus 11.

  1. Identify the task: Read the passage, sentence, equation, or data display and identify exactly what must be determined.
  2. Apply the evidence: Distribute and combine: 2x plus 6 minus x plus 5 equals x plus 11.
  3. Check the result: Choose the answer best supported by this Delaware PSAT Grade 10 practice task.

Distribute and combine: 2x plus 6 minus x plus 5 equals x plus 11.

Previous testNext test

Choose your next study path

Elementary School Tests

Build foundational reading, math, science, and social studies skills for Grades 1–5.

Middle School Tests

Review grade-level ELA, math, science, and social studies skills for Grades 6–8.

High School Tests

Explore course and assessment preparation for Grades 9–12.

Pomodoro Timer

Use focused study intervals to work through your next practice set.

Frequently asked questions about Delaware PSAT Practice

Which grade is covered?

This page is organized for Grade 10 Delaware PSAT practice, with reading, writing, math, data, and evidence-based review.

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 PSAT questions?

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