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Combining Like Terms Practice - Printable Mathematics Worksheets year 6 - Wayground

Combining Like Terms Practice

14 questions

6th - 6th Grade

Mathematics

Combining Like Terms Practice is a Grade 6 mathematics worksheet that develops students’ ability to recognize like and unlike terms and simplify algebraic expressions. Students evaluate True-or-False statements, explain whether terms share the same variable, identify groups of like terms in a multiple-select item, and combine terms with coefficients, constants, and subtraction. The 14 questions include 13 multiple-choice items and 1 multiple-select item, giving students practice with both concept recognition and calculation. This free printable worksheet with an answer key supports guided practice, independent work, or a quick check of understanding after introducing combining like terms. Its progression from identifying compatible terms to simplifying expressions such as those containing multiple variables helps teachers see whether students understand which terms can be combined and whether they maintain the correct variable parts and signs. Use the results to address errors before students move to more complex algebraic expressions.

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Worksheets

Combining Like Terms Practice

Total questions: 14

Name
Class
Date
1.

True or False:

3x and 9x are like terms

a)

True

b)

False

2.

True or False:

7x and 11y are like terms

a)

True

b)

False

3.

True or False:

18x2 and 5x are unlike terms

a)

True

b)

False

4.

True or False:

15z + 10 = 25z

a)

True

b)

False

5.

True or False:

22y - 9y = 13y

a)

True

b)

False

6.

True or False:

19z + 14z - 6 = 27z

a)

True

b)

False

7.

True or False:

14x + 6y - 4x = 10x + 6y

a)

True

b)

False

8.

Why are 4x and 7y UNLIKE terms?

a)

They are like terms

b)

They have different numbers

c)

They have different variables

d)

They have different exponents

9.

Why are 8z and 12z LIKE terms?

a)

They are unlike terms

b)

They have different numbers

c)

They have the same variable

d)

They have different exponents

10.

Which answer choices show a group of LIKE terms for the expression: 12w+ 28 + 9w -12

a)

12w and 9w

b)

12w and 28

c)

9w and -12

d)

28 and -12

11.

Simplify:

36x + 12x - 22x

a)

70x

b)

26x

12.

Simplify:

3x + 7 - 2x

a)

8x

b)

5x + 7

c)

x + 7

d)

12x

13.

Simplify:

6y + 15m + 2y - 8m

a)

8y + 7m

b)

15ym

c)

8y + 23m

d)

31ym

14.

Simplify:

35 + 12z - 22 + 11z

a)

36z

b)

57 + 23z

c)

47z + 33

d)

13 + 23z

Answer Key

Combining Like Terms Practice

Total questions: 14

1.
a)

True

2.
b)

False

3.
a)

True

4.
b)

False

5.
a)

True

6.
b)

False

7.
a)

True

8.
c)

They have different variables

9.
c)

They have the same variable

10.
a)

12w and 9w

, d)

28 and -12

11.
b)

26x

12.
c)

x + 7

13.
a)

8y + 7m

14.
d)

13 + 23z

FAQs

What does the Combining Like Terms Practice worksheet cover?

This Grade 6 worksheet focuses on identifying like and unlike terms and simplifying algebraic expressions by combining terms with matching variable parts. Its 14 items use True-or-False questions, multiple-choice explanations, one multiple-select grouping task, and simplification problems with variables and constants. Completing the set helps students distinguish which terms can be combined and calculate the resulting coefficients and constants.

How can I use this worksheet to teach students to combine like terms?

Begin by modeling how to sort the terms in an expression into groups with the same variable and separate constants. Use the worksheet’s early True-or-False and explanation items to discuss why terms such as 8z and 12z belong together while terms with different variables do not, then have students apply that reasoning to the multiple-select grouping item. Finish with the simplification questions and ask students to explain which groups they combined and why.

What mistakes should I watch for on this combining like terms worksheet?

Watch for students combining coefficients while ignoring different variables, or treating a variable term and a constant as like terms. Students may also select the wrong pairs in the multiple-select expression, lose a subtraction sign, or combine terms across different variables instead of simplifying each group separately. In the final items, check that they preserve unmatched terms, such as the constant in an expression containing x.

How do I assign and grade this combining like terms worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 14 items. Assign the digital quiz for online responses, or print the worksheet for written practice and grade student work by scanning it with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the algebraic expressions and answer choices easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, while keeping the True-or-False, multiple-select, and simplification formats intact.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.