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Equivalent Expressions Practice
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Equivalent Expressions Practice
Evaluate each expression carefully. Expressions are equivalent when they have the same value for the given variable value—or for every value, when no value is specified.
Compare and Evaluate
Decide whether the expressions have the same value.
1.Are 9 + 6 and 3 × 5 equivalent?
- Yes
- No
2.Are 18 − 7 and 4 + 8 equivalent?
- Yes
- No
3.When n = 6, select every expression that equals 14.
- n + 8
- 3n − 2
- 2n + 3
- 20 − n
4.Match each expression on the left with an equivalent expression on the right.
- a + 7
- 5a
- 2b + 10
- b + b + 10
- a + 7
- b + b + 10
- 5a
- 2(b + 5)
Substitute and Explain
Replace each variable with its given value, then compare the results.
5.For p = 4, evaluate p + 9 and 9 + p. Are the expressions equivalent for this value of p?
6.For m = 5, compare 4m + 3 with 2m + 13. Show the value of each expression and state whether they are equivalent at this value.
7.Madison buys 4 notebooks that cost c dollars each. Which expressions show the total cost? Select all that apply.
- 4c
- c + c + c + c
- 4 + c
- c⁴
8.Rewrite 3(x + 4) without parentheses. Then explain why your expression is equivalent to the original.
Create and Describe
Use the expressions and properties you have practised.
9.Write two different numerical expressions that both equal 16.
10.In your own words, explain what it means for two expressions to be equivalent. Include an example.
2 printable pages
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Page 2
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