NumicornNumicornLearn, solve, progress

Exponents and Polynomials Practice Tests

These Grade 9 Math practice tests cover positive, zero, and negative exponents, products and quotients of powers, powers of powers, scientific notation, monomials, polynomial degree and coefficients, polynomial addition and subtraction, multiplication, factoring, and algebraic models.

Skills covered

  • Applying product, quotient, power, and negative-exponent rules
  • Evaluating powers and rewriting expressions with positive exponents
  • Identifying degree, leading coefficient, constant term, and like terms
  • Adding, subtracting, multiplying, and factoring polynomials
  • Using polynomial expressions for area, volume, functions, sequences, and scientific notation

How to use these practice tests

Identify matching bases before applying exponent rules, combine only like terms, distribute to every term, and check polynomial products by substituting a simple value when needed.

For more Grade 9 Math practice, return to the Grade 9 Math category.

Select a test

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

1. Test

Grade 9 Exponents and Polynomials Practice Tests

Practice Grade 9 Math questions about exponent rules, zero and negative exponents, monomials, polynomial degree, polynomial operations, factoring, and algebraic models.

Choose the best answer. Apply exponent rules, combine like terms, distribute carefully, write polynomials in standard form, and check equivalent expressions.

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

Evaluate 232^3

Please select an answer first.

Correct answer: A

The correct answer is 8.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: The exponent 3 means multiply 2 by itself three times: 2 × 2 × 2 = 8.
  3. Check equivalent form: The correct choice is 8.

The exponent 3 means multiply 2 by itself three times: 2 × 2 × 2 = 8.

2. QuestionMultiple choice

What is x0x^0 for any nonzero x?

Please select an answer first.

Correct answer: B

The correct answer is 1.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: Any nonzero base raised to the zero power equals 1.
  3. Check equivalent form: The correct choice is 1.

Any nonzero base raised to the zero power equals 1.

3. QuestionMultiple choice

Simplify x3⋅x4x^3\cdot x^4

Please select an answer first.

Correct answer: C

The correct answer is x7x^7.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: When multiplying powers with the same base, add the exponents: 3 + 4 = 7.
  3. Check equivalent form: The correct choice is x7x^7.

When multiplying powers with the same base, add the exponents: 3 + 4 = 7.

4. QuestionMultiple choice

Simplify a8a3\frac{a^8}{a^3}

Please select an answer first.

Correct answer: D

The correct answer is a5a^5.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: When dividing powers with the same nonzero base, subtract the exponents: 8 - 3 = 5.
  3. Check equivalent form: The correct choice is a5a^5.

When dividing powers with the same nonzero base, subtract the exponents: 8 - 3 = 5.

5. QuestionMultiple choice

Simplify (m2)3(m^2)^3

Please select an answer first.

Correct answer: A

The correct answer is m6m^6.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: For a power raised to a power, multiply the exponents: 2 × 3 = 6.
  3. Check equivalent form: The correct choice is m6m^6.

For a power raised to a power, multiply the exponents: 2 × 3 = 6.

6. QuestionMultiple choice

Simplify (2x)3(2x)^3

Please select an answer first.

Correct answer: B

The correct answer is 8x38x^3.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: Raise both the coefficient and variable to the third power: 2 cubed is 8 and x cubed remains x cubed.
  3. Check equivalent form: The correct choice is 8x38x^3.

Raise both the coefficient and variable to the third power: 2 cubed is 8 and x cubed remains x cubed.

7. QuestionMultiple choice

Rewrite 5−25^{-2} with a positive exponent.

Please select an answer first.

Correct answer: C

The correct answer is 125\frac{1}{25}.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: A negative exponent means the reciprocal: 5 to the negative 2 equals 1 divided by 5 squared, or 1/25.
  3. Check equivalent form: The correct choice is 125\frac{1}{25}.

A negative exponent means the reciprocal: 5 to the negative 2 equals 1 divided by 5 squared, or 1/25.

8. QuestionMultiple choice

Evaluate 10410^4

Please select an answer first.

Correct answer: D

The correct answer is 10,000.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: A power of ten with exponent 4 has four zeros: 10,000.
  3. Check equivalent form: The correct choice is 10,000.

A power of ten with exponent 4 has four zeros: 10,000.

9. QuestionMultiple choice

In 757^5

Please select an answer first.

Correct answer: A

The correct answer is 5 is the exponent..

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: The exponent is the small number that tells how many times the base is used as a factor.
  3. Check equivalent form: The correct choice is 5 is the exponent..

The exponent is the small number that tells how many times the base is used as a factor.

10. QuestionMultiple choice

Evaluate (−3)2(-3)^2

Please select an answer first.

Correct answer: B

The correct answer is 9.

  1. Identify the exponent or polynomial structure: Determine which exponent rule, polynomial operation, degree, coefficient, or model is being used.
  2. Apply the rule carefully: The parentheses make -3 the base, so (-3)(-3) = 9.
  3. Check equivalent form: The correct choice is 9.

The parentheses make -3 the base, so (-3)(-3) = 9.

Previous testNext test