Identify Parts of an Algebraic Expression is a Grade 6 mathematics worksheet that helps students distinguish among variables, constants, coefficients, and terms. Across 25 multiple-choice questions, students identify these parts in given expressions, use definitions to select the correct algebraic vocabulary, determine how many terms an expression contains, recognize expressions with a specified number of terms, and find the coefficient associated with a variable. Several items also reinforce that a coefficient is written in front of its variable.
This free printable worksheet is useful for introducing or reviewing the structure of algebraic expressions before students begin simplifying or evaluating them. Teachers can use the questions for independent practice, guided review, or a quick check of vocabulary and identification skills. A complete answer key is included to support efficient grading and immediate feedback.
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Worksheets
Identify parts of an Algebraic Expression
Total questions: 25
Name
Class
Date
1.
In the expression below, which is the constant?
10−y
a)
-y
b)
1
c)
10
d)
There are no constants in the expression.
2.
Identify the variable in the expression.
2b2−4b+6
a)
2b
b)
b
c)
6
d)
a
3.
A ___ is a value that does not change.
a)
Variable
b)
Constant
c)
Coefficent
d)
Term
4.
In the expression below 2 and 3 are the ___
2x+3y−4
a)
Variables
b)
Constants
c)
Coefficents
d)
Terms
5.
How many terms are in the expression below?
m2−3n+5x−12
a)
2
b)
4
c)
3
d)
1
6.
Which algebraic expression has 3 terms?
a)
14b-2
b)
2x-3w+10
c)
4y
d)
5m+2g-4y-6
7.
What is the coefficient of y in the expression below?
3x+5y−9
a)
5
b)
-9
c)
3
d)
-1
8.
What are the variables in the following expression?
3z+4x−1+7y
a)
3,4,1 and 7
b)
z, x and y
c)
+ and -
d)
15
9.
A ___ is a symbol used to represent a quantity that can change.
a)
Variable
b)
Constant
c)
Coefficient
d)
Term
10.
A ___ is a number that is multiplied by the variable in an algebraic expression.
a)
Variable
b)
Constant
c)
Coefficient
d)
Term
11.
Identify the constant in the expression.
2y + x + 8 + 7p
a)
7
b)
2
c)
1
d)
8
12.
The coefficient is a number multiplied by a variable. It is the number in _______________ of the variable.
a)
in front
b)
behind
13.
How is the number 9 best described in the expression 9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
14.
Find the coefficient in the algebraic expression.
a)
x
b)
4
c)
5
d)
9
15.
How many terms are in the expression 3a + 2b + c + 100
a)
3
b)
4
c)
5
d)
6
16.
How many terms are in the expression 3x + 2y + z
a)
5
b)
2
c)
4
d)
3
17.
What part of an algebraic expression is separated by addition or subtraction?
a)
coefficient
b)
constant
c)
term
d)
variable
18.
A term without a variable
a)
Constant
b)
Variable
c)
Term
d)
Coefficient
19.
How many terms are in the algebraic expression?
a)
5
b)
2
c)
4
d)
3
20.
What is the constant of the following algebraic expression?
8s + 5 - 4b
a)
5
b)
8
c)
4
d)
8, 5, and 4
21.
A _______________ is a number attached (multiplied) to a variable.
a)
variable
b)
term
c)
coefficient
d)
constant
22.
What is the coefficient in the algebraic expression 7xy2?
a)
7
b)
x
c)
y2
d)
0
23.
The answer to a subtraction problem
a)
product
b)
quotient
c)
sum
d)
difference
24.
Quotient The answer in...
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
25.
How is the number 9 best described in the expression:
9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
Answer Key
Identify parts of an Algebraic Expression
Total questions: 25
1.
c)
10
2.
b)
b
3.
b)
Constant
4.
c)
Coefficents
5.
b)
4
6.
b)
2x-3w+10
7.
a)
5
8.
b)
z, x and y
9.
a)
Variable
10.
c)
Coefficient
11.
d)
8
12.
a)
in front
13.
a) coefficient
14.
b) 4
15.
b) 4
16.
d) 3
17.
c)
term
18.
a)
Constant
19.
d) 3
20.
a)
5
21.
c)
coefficient
22.
a) 7
23.
d)
difference
24.
d) Division
25.
a) coefficient
140 %
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FAQs
What does this worksheet cover?
This Grade 6 worksheet covers identifying the variables, constants, coefficients, and terms that make up algebraic expressions. Its 25 multiple-choice questions ask students to locate specific parts, apply algebra vocabulary definitions, count terms, select expressions with a given number of terms, and identify the coefficient of a variable.
How can I use this worksheet to teach the parts of an algebraic expression?
Introduce the four terms—variable, constant, coefficient, and term—using one expression at a time, then have students explain what each number, letter, and separated part represents. Use the worksheet’s multiple-choice items for guided practice first, asking students to justify choices such as why a number is a coefficient rather than a constant, before assigning the remaining questions independently.
What mistakes should I watch for when students complete this worksheet?
Students may confuse a constant with a coefficient because both are numbers, especially when a number is multiplied by a variable. They may also count individual symbols instead of terms separated by plus or minus signs, or select a variable when the question asks for the coefficient written in front of it.
How do I assign and grade this worksheet?
Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 25 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to simplify grading and review.
How can I differentiate this worksheet for my students?
In the worksheet’s Advanced Settings, adjust font spacing or font size to make the algebraic expressions and answer choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the multiple-choice format focused on variables, constants, coefficients, and 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 help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.