Practice Rewriting Expressions in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Transforming an algebraic expression into a different but mathematically equivalent form to reveal new information.

2(x+3) and 2x+6 look different but are the same—rewriting shows this.

Showing a random 20 of 50 problems.

Example 1

hard
Rewrite x2−10x+7 by completing the square.

Example 2

easy
Rewrite x2⋅x3 using one exponent.

Example 3

medium
Rewrite x2+6x by completing the square.

Example 4

medium
Rewrite (x+1)2 without parentheses.

Example 5

medium
Rewrite 3x+2x as a single fraction.

Example 6

medium
Rewrite x2−4x−2 in simplified form.

Example 7

easy
Rewrite x2−25 in factored form.

Example 8

hard
Expand (a+b+c)2.

Example 9

easy
Write 5x+2x as one term.

Example 10

medium
Factor x2+7x+12.

Example 11

medium
Rewrite 50 in simplest radical form.

Example 12

easy
Are 2x+6 and 2(x+3) equivalent?

Example 13

medium
Rewrite x2−9x−3 in simpler form (assume x≠3).

Example 14

medium
Expand (2x+1)(x−3).

Example 15

medium
Simplify x2−9x+3 for x≠−3.

Example 16

hard
Rewrite 2x+3x+1 as a single fraction.

Example 17

easy
Rewrite x+x+x as a single term.

Example 18

medium
Simplify 3(x+2)−2(x−1).

Example 19

easy
Rewrite 3(x+4) in expanded form.

Example 20

easy
Combine like terms: 4x+3−x+8.