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Parts of Algebraic Expressions - Printable Math Worksheets 7th Grade - Wayground

Parts of Algebraic Expressions

Youjung Ghareebo

Created by Youjung Ghareebo

20 questions

7th Grade

Math

Updated Oct 2026

Parts of Algebraic Expressions is a Grade 7 mathematics worksheet that helps students identify and classify the components of algebraic expressions. Across 20 multiple-choice questions, students distinguish variables, coefficients, constants, and terms; identify each part in expressions such as 3x + 5; and recognize variables, constants, and coefficients within longer expressions containing positive and negative terms. The worksheet also develops students’ understanding of like terms. Students determine when terms have both the same variable and exponent, then select like-term pairs from expressions such as 3x + 7 - 9x + 24y + 2x² and 5a + 2b - 3a + 4. Questions are presented in English and Spanish, making this a useful practice resource for multilingual learners. This free printable worksheet includes a complete answer key for efficient review, independent practice, or formative assessment.

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Parts of Algebraic Expressions

Total questions: 20

Name
Class
Date
1.

A variable is a ________________ or __________________ that represents an unknown value.

(Una variable es un ________________ o __________________ que representa un valor desconocido.)

a)

letter or symbol

(letra o símbolo)

b)

term or expression

(término o expresión)

c)

constant or coefficient

(constante o coeficiente)

d)

noughts or crosses

(ceros o cruces)

2.

A number on its own, not multiplied by a variable is a ...

(Un número por sí solo, no multiplicado por una variable, es un...)

a)

Variable

b)

Coefficient

c)

Constant

d)

Term

3.

A number that is being multiplied by a variable in an algebraic expression is called a ...

(Un número que se multiplica por una variable en una expresión algebraica se llama...)

a)

Variable

b)

Coefficient

c)

Constant

d)

Term

4.

What are like terms?

(¿Qué son los términos semejantes?)

a)

Terms with different variables

(Términos con diferentes variables)

b)

Terms with the same variables

(Términos con las mismas variables)

c)

Terms with no variables

(Términos sin variables)

5.

In order to combine one or more terms together they must have....

(Para combinar uno o más términos semejantes, deben tener...)

a)

The same number

(El mismo numero)

b)

The same variable

(La misma variable)

c)

The same variable and exponent

(Misma variable y exponente)

d)

The same exponent

(El mismo exponente)

6.

Identify the variable of the algebraic expression:

(Identifica la variable de la expresión algebraica:)

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

7.

Identify the coefficient of the algebraic expression:

(Identifica el coeficiente de la expresión algebraica:)

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

8.

Identify the constant of the algebraic expression:

(Identifica la constante de la expresión algebraica:)

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

9.

Identify the terms of the algebraic expression:

(Identifica los términos de la expresión algebraica:)

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

10.

In the expression  x - 53 - 4x - w + 6x + 8 , the variables are..

(En la expresión x - 53 - 4x - w + 6x + 8 , las variables son..)

a)

x, w, 8

b)

-53, 8

c)

x, w

d)

x, -4x, 6x, -w

11.

In the expression  x - 53 - 4x - w + 6x + 8  , the constants are..

(En la expresión  x - 53 - 4x - w + 6x + 8  , las constantes son..)

a)

53, 8

b)

1,-4, -1, 6

c)

x, w

d)

-53, 8

12.

In the expression  x - 53 - 4x - w + 6x + 8 , the coefficients are..

(En la expresión  x - 53 - 4x - w + 6x + 8 , las coeficientes son..)

a)

53, 8

b)

1,-4, -1, 6

c)

x, w

d)

-53, 8

13.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

3x + 7 - 9x + 24y + 2x2

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x2

14.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

3x + 2x + 6y + 3

a)

6y and 3

b)

2x and 3

c)

3x and 3

d)

3x and 2x

15.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

5a + 2b - 3a + 4

a)

5 and 2

b)

5a and 3a

c)

5a and 2b

d)

2 and 4

16.

Which of these are like terms in the following expression:

(¿Cuáles de estos son términos semejantes en la siguiente expresión:)

3x + 2x + 11y - 7y

a)

3x and 11y

b)

3x and 7y

c)

11y and 7y

d)

2x and 7y

17.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

18.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

-10x + 15 - 3x + 2

a)

13x2 + 17

b)

-13x2 + 13

c)

-13x + 17

d)

-7x + 17

19.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

4x2 - 3x + 11 -2x

a)

4x2 - 5x + 11

b)

11x + 11

c)

16x2 - 5x + 11

d)

10x2

20.

Simplify by combining like terms:

(Simplifica combinando términos semejantes:)

8x2 + 5x + 2y + x

a)

14x + 2y

b)

13x2+ 2y + x

c)

8x2 + 6x + 2y

d)

8x2 + 7xy + x

WaygroundAnswer Key

Parts of Algebraic Expressions

Total questions: 20

1.
a)

letter or symbol

(letra o símbolo)

2.
c)

Constant

3.
b)

Coefficient

4.
b)

Terms with the same variables

(Términos con las mismas variables)

5.
c)

The same variable and exponent

(Misma variable y exponente)

6.
b)

x

7.
a)

3

8.
c)

5

9.
d)

3x and 5

10.
c)

x, w

11.
d)

-53, 8

12.
b)

1,-4, -1, 6

13.
c)

3x, -9x

14.
d)

3x and 2x

15.
b)

5a and 3a

16.
c)

11y and 7y

17.
a)

9x + 7y + 13

18.
c)

-13x + 17

19.
a)

4x2 - 5x + 11

20.
c)

8x2 + 6x + 2y

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FAQs

What does the Parts of Algebraic Expressions worksheet cover?

This Grade 7 worksheet uses 20 multiple-choice questions to help students identify variables, coefficients, constants, and terms in algebraic expressions. It also asks students to recognize like terms by checking whether terms have the same variable and exponent, including in expressions with negative terms and multiple variables.

How can I use this worksheet to teach the parts of an algebraic expression?

Introduce the vocabulary by modeling 3x + 5: identify 3 as the coefficient, x as the variable, 5 as the constant, and 3x and 5 as the terms. Then have students complete the multiple-choice items, asking them to explain why a selected pair is or is not like terms before moving to the longer expressions with x and w.

What mistakes should I watch for on this algebraic expressions worksheet?

Students may confuse a coefficient with a term, select the variable and coefficient together, or overlook the implied coefficient 1 in x. In the like-term questions, watch for students grouping terms that merely share a number or exponent instead of requiring the same variable and exponent, and for errors when reading negative coefficients such as -4 and -1.

How do I assign and grade this Parts of Algebraic Expressions worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 20 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this algebraic expressions worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the vocabulary and algebraic expressions are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, which may support students working through terms such as variable, coefficient, constant, and like terms.

Where can I find more worksheets like this on Wayground?

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

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