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Worksheets

Vocabulary & Combine Like Terms

Total questions: 46

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

2.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

3.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
4.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
5.
A constant term has ______.
a)
no exponents
b)
no variables
c)
no numbers
d)
no letters
6.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

7.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
8.

Simplify: 6x + 12x + 3 y

a)

21x

b)

18x + 3y

c)

72x + 3y

d)

6x + 15y

9.

Simplify: 15x + 19 + 2x - 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

10.
Combine like terms
3x + 2x + 11y - 7y
a)
5x + 10y
b)
5x - 4y
c)
5x + 4y
d)
5x -10y
11.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

12.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

13.
Like terms have the same _____ and the same _____.
a)
variables and numbers
b)
signs and numbers
c)
variables and exponents
d)
variables and signs
14.
3 + 5x + 4
a)
5x ∙ 7 
b)
12x 
c)
35x 
d)
5x + 7 
15.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
16.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
17.

What is the coefficient in the algebraic expression?

a)

4x

b)
4
c)
5
d)
9
18.

What is the constant in the algebraic expression?

a)

4x

b)
4
c)
5
d)
9
19.
a)

7x2+3x+57x^2+3x+5

b)

9x2+4x+59x^2+4x+5

c)

4x+9x2+54x+9x^2+5

d)

9x2+3x+59x^2+3x+5

20.
a)

8y+58y+5

b)

3y+33y+3

c)

7y+57y+5

d)

7y+47y+4

21.
a)

24z+824z+8

b)

22z+622z+6

c)

23z+823z+8

d)

24z+224z+2

22.
a)

10x+1610x+16

b)

12x+1812x+18

c)

16x+1816x+18

d)

15x+1815x+18

23.
a)

6x16x-1

b)

10x+710x+7

c)

6x+16x+1

d)

8x+18x+1

24.
a)

5x+5y+185x+5y+18

b)

6x+6y+106x+6y+10

c)

5x+2y+185x+2y+18

d)

5x+6y+105x+6y+10

25.
a)

9x+69x+6

b)

3x+43x+4

c)

3x43x-4

d)

6x+46x+4

26.
a)

13x+1113x+11

b)

2x22x-2

c)

x1x-1

d)

2x+12x+1

27.
a)

2x2+13y+52x^2+13y+5

b)

2x2+13y52x^2+13y-5

c)

x2+13y5x^2+13y-5

d)

4x2+13y54x^2+13y-5

28.
a)

2y+22y+2

b)

x2+2y+2x^2+2y+2

c)

2x2+2y22x^2+2y-2

d)

2y+2-2y+2

29.
a)

x2+2y+4x^2+2y+4

b)

2x2+y+42x^2+y+4

c)

2x2+2y+42x^2+2y+4

d)

2y+42y+4

30.
a)

x+y+1x+y+1

b)

15x+19y+1115x+19y+11

c)

xy1-x-y-1

d)

15x19y11-15x-19y-11

31.
a)

15x+19y+115x+19y+1

b)

15x19y11-15x-19y-11

c)

x+y+1x+y+1

d)

xy1-x-y-1

32.
a)
2x2-2y-2
b)
-3x2-2y-2
c)
-2x2-4y-2
d)
-2x2-2y+2
33.

A [an] __________is a mathematical sentence containing at least one number, variable, and mathematical operation.

a)

algebraic expression

b)

numerical expression

c)

term

d)

constant

34.

A [an] _________________________ is a mathematical sentence containing only numbers and at least one mathematical operation.

a)

algebraic expression

b)

numerical expression

c)

term

d)

constant

35.

An expression is said to be simplified when it has no _______________

a)

coefficients

b)

constants

c)

grouping symbols

d)

powers

36.

An expression is said to be simplified when it has no ___________

a)

coefficients

b)

constants

c)

common terms

d)

variables

37.

A [an] _______________ in an expression could be a number, a variable or the product of a number and variable.

a)

variable

b)

constant

c)

term

d)

coefficient

38.

A [an] ___________________is a term in an expression that has a value that never changes.

a)

constant

b)

coefficient

c)

power

d)

common term

39.

A [an]  ___________________ is a symbol used to represent an unknown quantity.

a)

constant

b)

coefficient

c)

variable

d)

common term

40.

A [an] ________________________ is a number that is being multiplied to a variable.

a)

constant

b)

coefficient

c)

variable

d)

common term

41.

The _______________ of term tells us how many times to multiply the base by itself.

a)

constant

b)

coefficient

c)

power

d)

common term

42.

Terms that have the exact same variable raised to the exact same power are said to be a [an] _________

a)

constant

b)

coefficient

c)

variable

d)

common term

43.

The _____________ property allows you to change how numbers are grouped in an addition or multiplication expression without changing the value.

a)

associative

b)

distributive

c)

commutative

d)

simplified

44.

The _______________ property allows you to change the order of the terms in an addition or multiplication expression without changing the value.

a)

associative

b)

distributive

c)

commutative

d)

simplified

45.

The ______________  property allows us to multiply a number outside parenthesis to every term inside the parenthesis.

a)

associative

b)

distributive

c)

commutative

d)

simplified

46.

Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.

a)

expressions

b)

equations

c)

variable

d)

constant