Free Printable 702 Expressions, Equations, Inequalities Unit Test

1.

Darren buys skittles and soda at the deli

-He pays a total of $10.85

-He pays for a bag of skittles that cost $3.99
-He buys 2 sodas that each cost the same amount
Which equation can be used to determine the cost, x, of each can of soda?

a)

$x=\left(10.85-3.99\right)\div2$

b)

$x=\left(10.85+3.99\right)\div2$

c)

$x=10.85\div3.99-2$

d)

$x=10.85\div2+3.99$

2.

Lisa only has $200 to spend. She spend $11 on a taxi and $18 on gifts for each of her friends. What is the most amount of friends she can give gifts to?

a)

$x\ge10.5$

so 11 friends

b)

$x\le10.5$

so 10 friends

c)

$x<10.5$

so 10 friends

d)

$x>10.5$

so 11 friends

3.

Jacob paid x dollars per hour for a 10-hour job plus $80 for parts. The total amount was $430. Which equation can be used to determine how much Jacob paid per hour?

a)

$10x=430\ +\ 80$

b)

$10x=430\ -\ 80$

c)

$\left(80\ +\ 10\right)x=430$

d)

$\left(80-10\right)x=430$

4.

Mickal made a drawing of a rectangle that had a perimeter of 155 feet. She drew a diagram to represent the length and width of her art piece. She left a spot open where she would draw a gate. How big can her gate be?

a)

x=45

b)

x=50

c)

x=22.5

d)

x=40.5

5.

Analia participated in a Math competition to raise $20 for each question she got correct. Her goal was to raise more than $350 over the weekend. She raised $65 on Saturday. Which graph shows the the number of answers Analia would have needed to answer correctly in order to reach her goal?

a)

b)

c)

d)

6.

Combine like terms to create an equivalent expression to

3x + 39z - 5z - 10x

7.

Combine like terms to create an equivalent expression to

49 - 3x + 10x - 10

8.

Isa brought $350 to spend at the mall to buy matching headphones for her and a friend, Jake, plus a new phone case for herself. The phone case was only $2.50. If Isa and Jake purchase the same headphones, how much could each headphone cost to not go over the limit?

a)

$x<173.75$

b)

$x\le173.75$

c)

$x\le172.50$

d)

$x<172.50$

9.

Alice had x amount of boxes. Half of Alice's boxes broke. She soon bought 25 more boxes and now has a total of 35. What was Alice's original amount of boxes?

10.

Lily had x amount of notebooks but half of her notebooks got water damage so she bought 5 more notebooks. Now she has 11 notebooks. How many notebooks did Lily start off with?

11.

Jeffry earns $9 per hour and he also gets $6 for each delivery he makes. He wishes to earn more than 155 in an 8-hour shift. What is the least number of deliveries he must make to reach his goal?

a)

11 deliveries

b)

12 deliveries

c)

13 deliveries

d)

14 deliveries

12.

Solve for x

$0.5x+78.2=287$

a)

x=104.4

b)

x=417.6

c)

x=495.8

d)

x=730

13.

Darren went bowling and had $25 to spend. He rented shoes for $7 and paid $4 for each game. What wa the greatest number of games Darren could play?

a)

4

b)

5

c)

6

d)

7

14.

Armando wants to go to Gamestop to buy Vbucks that cos $20. He only has $10 but can save $2 each day. How many days does he need to save to buy his Vbucks?

a)

$x<5$

b)

$x\le5$

c)

$x\ge5$

d)

$x>5$

15.

Ms. Klinke bought 4 sweaters that each cost the same amount and 1 shirt that cost $20. She spent a total of $160 before tax. What was the cost of each sweater?

a)

$30

b)

$35

c)

$40

d)

$45

16.

Meneoly bought flowers for her grandmother. The flowers were on sale for 30% off. If the original price is K what expression can be used to describe the discounted price, in dollars of the flowers?

a)

0.3K

b)

K - 30

c)

K - 0.3

d)

K - 0.3K

17.

Maxine works for $15 per hour at a restaurant. She made $25 in tip that day and in total made $250. How many hours did she work that day?

a)

13 hours

b)

14 hours

c)

15 hours

d)

16 hours

18.

12x + 48 =202

a)

x=12.8

b)

x=12.83

c)

$x=12.8\overline{3}$

d)

x=12

19.

Vincent is saving up for a Nintendo Switch. He needs $299 for one. He already has $90. He babysits everyday for $12 a day. How many days must Vincent babysit to save up at least $299?

a)

17 days

b)

18 days

20.

Anna buys c cans of spray paint for $5.99 each and p packets of colored pencils for $4.99. She has a coupon for 25% off any purchase. Which expression represents the total amount Anna paid after the coupon?

a)

(5.99c + 4.99p) - 0.25(5.99c + 4.99p)

b)

(5.99c + 4.99p) + 0.25(5.99c + 4.99p)

c)

0.25(5.99c - 4.99p)

d)

0.75(5.99c - 4.99p)

21.

Solve for r

0.2r + 82.7 =84.2

a)

x=5

b)

x=7.5

c)

x=15

d)

x=20

22.

Ashley gets X dollars for her salary. Her boss saw how good she was at her job and decided to give her a 20% raise. Which expression does NOT represent Ashley's new salary?

a)

0.8X

b)

1.2X

c)

X + 0.2X

d)

(1 + 0.2)X

23.

Jimmy went to the grocery store with $40 to spend. He bought a watermelon for $7.50, he also bought beans for $6.50. With the rest of his money he buys bottles of water for $2.75 each. What is the greatest number of water bottles Jimmy can buy?

a)

8 bottles

b)

9 bottles

c)

10 bottles

d)

11 bottles

24.

Tyrone went to McDonalds to spend less than $50. He buys a combo that cost $35.50. He wants to buy a 5-piece mcnugget that cost $5. How many 5-piece mcnuggets can he buy with his combo?

a)

4

b)

3

c)

2

d)

1

25.

A Greek woman wanted to pray x amount of hours to 3 gods, Zeus, Poseidon, and Hades. She wants to pray an additional 20 hours. In total she prays for 140 hours. How many hours does she pray to each god?

a)

20 hours

b)

30 hours

c)

40 hours

d)

50 hours

26.

Lester bought a used car for x dollars. Two years later the cars value was 0.75x. What is another way to describe the change in the value of the car?

a)

0.25% decrease

b)

25% decrease

c)

0.75% decrease

d)

75% decrease

27.

Solve for x

$\frac{x+2}{6}=10$

28.

Solve for y

$\frac{1}{2}\left(y+4\right)=3$

29.

Olivia earns $11 per hour and $5 for every order she takes. She wants to make at least $190 in a 9 hour shift. What is the least amount of orders she can take to make her goal?

a)

17 orders

b)

18 order

c)

19 orders

d)

20 orders

30.

Alex paid their client x dollars per hour for a 5 hour job plus $30 for a supplies. The total charge was $415. Which equation shows how much the client gets paid per hour.

a)

x = 5(415 - 30)

b)

x = 5(415 + 30)

c)

5x = 415 + 30

d)

5x=415 - 30

31.

Solve for x

0.6x + 68.4=378

32.

Riley earns $15 per hour and $8 per delivery. He wants to earn more than $260 in a 10 hour workday. What is the least number of deliveries he must make to reach his goal?

a)

12

b)

13

c)

14

d)

15

33.

Darren needs at least 60 signatures for his school petition. He already has 26 signatures. Darren and two of his friends plan to get the rest of the signatures during lunch. If each person gets the same number of signatures, what inequality can Darren use to see the minimum amount of signatures each person can get?

a)

$26\ +2x\ge60$

b)

$26\ -3x\ge60$

c)

$26\ +3x\le60$

d)

$26\ +3x\ge60$

34.

Edward bough 4 sweaters that each cost the same amount and 1 pair of jeans that cost $40. The items he purchased cost a total of $160 before tax was added. What was the cost of each sweater.

a)

$30

b)

$35

c)

$40

d)

$45

35.

Darren buys chips at a store.

-He pays a total of $30.50

-He pays $3.75 for chips

-He buys 5 bags of potatoes that each cost the same

What equation can NOT be used to determine the cost, x, of each bag of potatoes?

a)

$3.75\ +5x=30.50$

b)

$5x=30.50\ -\ 3.75$

c)

$x=\left(30.50\ -3.75\right)\div5$

d)

$x=\left(30.50\ -3.75\right)5$

36.

Solve for x

0.7x + 82.3 = 159.3

a)

110

b)

137

c)

200

d)

145

37.

Ms. Bradford bought x number of notebooks for a new student she has this year. The cost of all the notebooks including $3.49 shipping, was $60.49. Each notebook cost $3. How many notebooks did she get?

a)

19 notebooks

b)

18 notebooks

c)

17 notebooks

d)

16 notebooks

38.

Taylor needs at least 300 cups for a lemonade stand. She currently has 138 cups. Each package of cups has 10 cups. How many packages of cups should she purchase?

a)

15

b)

16

c)

17

d)

18

39.

Simplify the following expression:

2x - 3y + 6x

40.

Use the distributive property

2(x+7)

41.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

42.

Simplify:

21x - (-16 + 7x)

43.

Simplify:

(4y - 7) - (y - 7)

44.

Simplify:

-3 - 7(-3x - 6x)

45.

Simplify:

-4(x + 2) + 4(x - 5)

46.

Simplify:

-6(1 + 2y) -9(-4 + 5y)

47.

Simplify:

11(7x + 3) - 2(-8 + 5x)

48.

Simplify:

-8(1 - 10y) - 2(3y + 7)

702 Expressions, Equations, Inequalities Unit Test

Total questions: 48

Worksheet time: 4hrs 52mins

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