# allied mat120 module 8 check your understanding latest 2015

August 30, 2017

Question
A mail-order garden equipment business shipped 120 packages one day. Customers were charged \$3.50 for each standard-delivery package and \$7.50 for each express-delivery package. Total shipping charges for the day were \$596. How many of each kind of packages were shipped?

a. 76 standard packages; 44 express packages

b. 44 standard packages; 76 express packages

c. 66 standard packages; 54 express packages

d. 54 standard packages; 66 express packages

Hint: Sections 7.1

dult tickets for a play cost \$8 and child tickets cost \$6. If there were 20 people at a performance and the theatre collected \$152 from ticket sales, how many adults and how many children attended the play?

a. 16 adults and 4 children

b. 4 adults and 16 children

c. 9 adults and 11 children

d. 11 adults and 9 children

?

order to get 10 pound mixture worth \$8.40 per pound. How much of each type of coffee was used?

a. 4 lb French roast; 6 lb Kenyan

b. 6 lb French roast; 4 lb Kenyan

c. 3 lb French roast; 7 lb Kenyan

d. 7 lb French roast; 3 lb Kenyan

olve the system of equations by using the elimination method.

x+y=9

2x-3y=-2

a. (4, 5)

b. (9, 1)

c. (9, 0)

d. (5, 4)

Solve the system using the substitution method.

y = 3x + 2

3x – y = -3

a. (0, 0)

b. (0, 2)

c. (1, 5)

d. no solution

Solve the system of equations by using the elimination method.

x + y = 4

x – y = 2

a. (1, 3)

b. (–1, 5)

c. (3, 1)

d. (5, –1)

Solve the system by the substitution method.

4x + 3y = 5

6x + y = -1

a.

b.

c.

d.

?

olve the system using the substitution method.

7x – 2y = 5

6x + 5y = 11

a. (2, 1)

b. (1, 2)

c. (-1, 1)

d. (1, 1)

Janet invested \$10,000, part at 2% and part at 12%. If the total interest at the end of the year is \$600, how much did she invest at 2%?

a. \$4,000

b. \$7,000

c. \$6,000

d. \$5,000

Hint: Sections 7.1

SLO7:Solve systems of equations.

LO7C:Write and solve systems of equations to solve real-world problems.

Solve the system of equations by the elimination method.

x – y = 4

x + 2y = –14

a. (–2, –6)

b. (–3, –6)

c. (–2, –5)

d. (–3, –5)

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