Free Printable Expressions and Equations

Worksheets

Expressions and Equations

Total questions: 38

Worksheet time: 10hrs 30mins

Name

Class

Date

What is the simplified form of this expression
3x+4+5x+3

15x

8x+7

7x+8

Add these expressions
(3x+15) + (4x+13)

7x+ 28

35x

x+2

6z + 3 -4z = 9

z = 3

z = 60

z = 30

z = 1

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

4 boxes

5 boxes

6 boxes

7 boxes

3x + 2(4x - 4) = 3

x = 22

x = -22

x = 1

x = -1

What is the first step to solve this equation:
11 - 3x = 44

Subtract 11 from both sides

Divide - 3 on both sides

Add 3 to both sides

Add 11 to both sides

Which expression represents the area?

6x + 3

8x + 12

8x² + 12

8x + 3

Which expression represents the area of the rectangle?

12x - 2

12x - 1

8x - 2

36x² - 2

Which of these numbers are coefficients in the following expression?
3x + 7 - 4y + 9 - 2

-2

10.

Which of these numbers are constants in the following expression?
8a - 9 + 4b + 12c - 6a

-9

11.

Which of these terms can be combined?
9a + 3b - 7 + 8a² - 3a

9a, -3a

9a, 8a²

3b, -7

-7, -3a

12.

Simplify the following expression:
9(2a + 10) - 3a + 4

15a + 94

21a + 94

15a + 23

21a + 23

13.

Solve for x:
x/3 + 9 = 6

-1

-9

14.

Identify the coefficient(s) in the expression 2x + 4 - x + 3x,

2 and 3

2, 4, and 3

15.

Which phrase matches the expression
y - 6

6 decreased by a number, y

A number, y, decreased by 6

6 minus a number, y

16.

Which expression represents the phrase "eight fewer than the product of a number x, and four"?

8 - 4x

4x - 8

x + 4 - 8

4x ÷ 8

17.

Simplify the expression using the distributive property x + 2(2x + 1)

5x + 1

3x + 2

5x + 2

11x

18.

A letter or symbol used to represent a number or quantities that vary

constant

coefficient

variable

term

19.

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.

Variable

Algebraic Expression

Constant

Coefficient

20.

A number, a variable, or a product of numbers and variables.

term

variable

sum

coefficient

21.

Terms in an algebraic expression that have the same variable raised to the same power. Only the coefficients of like terms are different.

variable

like terms

product

constant

22.

Q tshirts plus $12 is $42

Q+12=42

12+Q=42

42+Q=12

Q-12=42

23.

Tammy made a deposit of d dollars in to her back account. Her old balance was $100, and her new balance is $280.

d-100=280

280-d=100

100+d=280

280+d=100

24.

Erik ran 3 less than 5 times the distance that Kerry, k, ran. Which expression represents how far Erik ran?

3 - 5k

5k - 3

5 (3-k)

5 (k-3)

25.

Which expression correctly represents that Jaime walked 7 miles fewer than 3 times the number of miles (r) that Robert walked.

3(r-7)

3r - 7

7(3-r)

7 - 3r

26.

Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks, which expression represents the total number of stamps she will have?

58sw

58 + sw

58s + w

58 + s + w

27.

What is the difference between an expression and equation?

Expressions have an equal sign and equations do not have an equal sign

Expressions do not have an equal sign and equations do have an equal sign

There is not a difference

Expressions do not have variables and equations have variables

28.

Using the steps shown, Heather tried to simplify this expression. What was her first mistake?

Step 1

Step 2

Step 3

Step 4

29.

Emily's team scored 12 points in the first half of the game. At the end of the game her team had a total of 26 points. Which equation can be used to find p, the number of points her team scored in the second half of the game?

12 + 26 = p

12 - p = 26

12 + p = 26

30.

What is the definition of no solution?

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

only this ONE solution will make the equation true

31.

What is the definition of infinite solutions?

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

only this ONE solution will make the equation true

32.

What is the definition of one solution?

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

only this ONE solution will make the equation true

33.

What is the solution to the equations?

one solution

no solution

infinite solutions

none of these

34.

"I know that Infinite Solution is correct because when solved the left side of the equation is ___________ the right side of the equation."

the same as

a number different than

a variable equal to a constant on

35.

What is the solution to this equation?

one solution

no solution

infinite solutions

none of these

36.

"I know that No Solution is correct because when solved the left side of the equation is ___________ the right side of the equation."

the same as

a number different than

a variable equal to a constant on

37.

What is the solution to the equations?

one solution

no solution

infinite solutions

none of these

38.

"I know that One Solution is correct because when solved the left side of the equation is ___________ the right side of the equation."

the same as

a number different than

a variable equal to a constant on

100 %

Expressions and Equations

Total questions: 38

Worksheet time: 10hrs 30mins

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