Free Printable One Step and Expressions

1.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

2.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

3.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

4.

y/3=12

a)

36

b)

-36

c)

4

d)

-4

5.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

6.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

7.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

8.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

9.

Two more than 4 times a number is -18.

a)

4x + 2 = -18

b)

2x + 4 = -18

c)

18 = 4x +2

10.

What is the difference between an expression and equation?

a)

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

b)

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

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

11.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

12.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

13.

Factor the expression.
14r - 8

a)

2(7r - 3)

b)

2(7r - 4)

c)

7(2r - 4)

d)

4(2r - 7)

14.

Expand the expression.
5(x + 2)

a)

5x + 10

b)

5x + 7

c)

4x + 7

d)

5x + 3

15.

Terms that have the same variables with the same corresponding exponents

a)

like terms

b)

terms

c)

equivalent expressions

d)

variable

16.

Simplify the expression:
36a+12-6a-7

a)

30a+5

b)

30a-5

c)

42a+19

d)

42

17.

Simplify the expression:
3r+2r+5

a)

5r

b)

5r+5

c)

5r-5

d)

0

18.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

19.

What do you call the number in front of a variable that is being multiplied?

a)

Constant

b)

Variable

c)

Coefficient

d)

Equation

20.

What do you call when you flip a fraction?

a)

Reapproval

b)

Recipient

c)

Reciprocity

d)

Reciprocal

21.

Sarah earned $100 by working 5 hours on Saturday. Which equation could be used to find how much money, m, Sarah made per each hour that she worked?

a)

100m=5

b)

5m=100

c)

5+m=100

d)

100+m=5

22.

The cost of one gallon jug of milk is $4.25. What is the maximum number of jugs of milk you can buy for $25?

a)

5 or more gallons of milk

b)

5 or less gallons of milk

c)

6 or more gallons of milk

d)

4 or less gallons of milk

23.

What is the value of y in the equation

y-4.5=1.4

a)

-5.9

b)

5.9

c)

3.1

d)

-3.1

24.

Roland wrote the expression, 3(y + 2) +6, to show the amount of cards that three friends had. Which expression is equivalent to the one that Roland wrote?

a)

3+y+3+2+6

b)

3y -6+6

c)

3 $+$ y + 3 $\cdot$ 2 + 6

d)

(3 $\cdot$ y) + (3 $\cdot$ 2) + 6

25.

Choose two expressions that are equivalent to the expression 3(4 + x) + 6.

a)

$3\cdot4+3\cdot x+6$

b)

$3\cdot4+x+6$

c)

$3\cdot4+3\cdot x+3\cdot6$

d)

$12+3x+6$

e)

$12+3x+18$

26.

One gallon of gas costs $2.60. How many full gallons can Ausia purchase with $25.00?

a)

8

b)

9

c)

10

d)

11

27.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

28.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

29.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

30.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

31.

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

a)

constant

b)

variable

c)

coefficient

d)

term

32.

$\frac{x}{3}=12$

a)

36

b)

-36

c)

4

d)

-4

33.

Solve the equation:
20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

34.

Translate:

Twelve less than a number. (Hint: "less than" means "subtract from."

a)

12 - x

b)

x - 12

c)

12x

d)

x + 12

35.

r + 12 = 25

a)

37

b)

13

c)

300

d)

Answer not Given

36.

List the numerical coefficients: 6y + 9 - 5h

a)

6, 9 , -5

b)

6, 5

c)

6, -5

d)

9

37.

How many terms are in this expression: 6y + 9cd - 4y + 12

a)

2

b)

6, 9, -4, 12

c)

3

d)

4

38.

List the constants: 4r + 7h - 9 + 2k

a)

4, 7, -9, 2

b)

-9

c)

4, 7, 2

d)

9

39.

(24 ÷ 2) ÷ 6 + 2³

a)

8

b)

10

c)

12

d)

14

40.

What does the (E) in PEMDAS mean?

a)

equal

b)

exponents

c)

examples

d)

evidence

41.

How do you write this in exponent form?

4 * 4 * 4 * 4 * 4 * 4 * 4

a)

4 * 7

b)

16,384

c)

4⁷

d)

7⁴

42.

What does the (P) in PEMDAS mean?

a)

Prime Number

b)

Parenthesis

c)

Property

d)

Product

43.

The quotient of a number and 8

a)

8g

b)

8/g

c)

g+8

d)

g/8

44.

What are the like terms in the? 4x + 6y - 9x + 9

a)

9

b)

4x, 9x

c)

+ (addition)

d)

x, y

45.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

46.

5³=

a)

15

b)

5 * 3

c)

125

d)

25 * 3

47.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

48.

"At most" and "No more than" are both clue words for...

a)

<

b)

>

c)

≤

d)

≥

49.

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

50.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

51.

When the following inequality is graphed, what will it look like?

"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

52.

When the following inequality is graphed, what will it look like?

"Alex will spend less than 35 minutes playing video games"

a)

open circle

b)

closed circle

53.

What is the inequality for:

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

One Step and Expressions

Total questions: 53

Worksheet time: 1hrs 26mins

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