Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of

each type of question are on the test?

A

Suppose you bought supplies for a party. Three rolls of streamers and 15 party hats cost $30. Later, you bought 2 rolls of streamers and 4 party hats for $11. How much did each roll of

streamers cost?

B

At In and Out, 4 burgers and 3 orders of fries cost $26.50. 5 burgers and 5

orders of fries cost $36.25. What is the cost of each item?

C

A group of 40 children attended a baseball game on a field trip. Each child received either a hot dog or a

bag of popcorn. Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50, how many hotdogs and bags of popcorn were purchased?

D

The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25.

Two boxes of envelopes and 6 boxes of notebook paper cost $17. Find the cost

of each.

E

The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost

$3.68. Find the cost of each.

F

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12. Find the

cost of each.

G

A high school band held a bake sale. The number of cupcakes sold was four

more than twice the number of brownies sold. The band sold a total of 52 cupcakes and brownies. Find how many of each were sold at the bake

sale.

H

A sporting goods store sells right-handed and left-handed baseball

gloves. In one month, 12 gloves were sold for a total of $561. Right-handed gloves cost $45 each and left-handed gloves cost $52 each. How many of

each type of glove were sold?

I

At a sale on winter clothing, Cody bought two pairs of gloves and four

hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. Find

the cost of each.

J

The Town Recreation Department ordered a total of 100 baseballs and bats for the summer baseball camp. Baseballs cost $4.50 each and bats

cost $20 each. The total purchase was $822. How many of each item was

ordered?

K

A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes

and 3-credit classes. Which system of equations can be used to determine f,

the number of 4-credit classes the student can take to complete her

degree, and h, the number of 3-credit classes?

L

One night a theatre sold 548 movie tickets. An adult’s ticket costs $6.50 and a child’s ticket cost $3.50. In all,

$2881 was taken in. How many of each kind of ticket were sold?

M

A collection of dimes and nickels is worth $3.30. If there are 42 coins in

all, how many of each kind of coin are there?

N

The sum of two numbers is 20. The difference between three times the first number and twice the second is

40. Find the two numbers.

O

The difference between two numbers is 9. The first number plus twice the

other number is 27. Find the two numbers.

P

There are 156 laptops and desktop computers in a lab. There are 8 more laptops than computers. How many of

each are in the lab?

Q

Hat Mania and Cap Kingdom create custom hats for sports teams. Hat Mania charges $5 for each hat sold and a $50 service fee to create the hats. Cap kingdom charges $6 for each hat sold in addition to a $25

service fee. How many hats have to be sold for the companies to have

equal charges?

R

Angelo runs 7 miles per week and increases his distance by 1 mile each week. Mark runs 4 miles per week and increases his distance by 2 miles each week. In how many weeks will Angelo

and Mark be running the same distance? What will that distance be?

S

There are 9 books stacked on a shelf. The thickness of each book is either 1

inch of 2 inches. The height of the stacks of 9 books is 14 inches. Which system of equations can be used to determine, x, the number of 1 inch-thick books in the stack, and y, the

number of 2 inch-thick books?

T

4034

11

hf

hf

1

52

24

yx

yx

2

00.1762

25.1343

ne

ne

3

68.358

36.5712

ao

ao

4

3022

4342

hg

hg

5

8222050.4

100

yx

yx

6

4023

20

yx

yx

7

272

9

yx

yx

8

dm

dm

24

7

9

10042

40

yx

yx

10

142

9

yx

yx

11

50.8375.125.2

40

ph

ph

12

12.735

71.654

yx

yx

13

5615245

12

lr

lr

14

288150.350.6

548

ca

ca

15

42

30.305.10.

nd

nd

16

ld

ld

8

156

17

yx

yx

256

505

18

1142

30153

hs

hs

19

75.1532

1823

fb

fb

20