MAT 120 WEEK 8 QUIZ
1 Janet invested $10000 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.
2. Solve 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)
Hint:Sections 7.1
SLO7:Solve systems of equations.
LO7C:Write and solve systems of equations to solve real-world problems.
3. Adult 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
Hint: Sections 7.1
SLO7:Solve systems of equations.
LO7C:Write and solve systems of equations to solve real-world problems.
4. Solve the system of equations by the elimination method.
2x + 5y = -12
7x - 5y = 3
a. (-1, -3)
b. (-1, -2)
c. (0, -2)
d. (0, -3)
Hint:Sections 7.1
SLO7:Solve systems of equations.
LO7C:Write and solve systems of equations to solve real-world problems.
5. 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
Hint:Hint = Sections 7.1
SLO7:Solve systems of equations.
LO7B:Solve systems of equations by the substitution method.
6. Solve the system using the substitution method.
7x - 2y = 5
6x + 5y = 11
a. (2, 1)
b. (1, 2)
c. (-1, 1)
d. (1, 1)
Hint:Hint = Sections 7.1
SLO7:Solve systems of equations.
LO7B:Solve systems of equations by the substitution method.
7. 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)
Hint:Sections 7.1
SLO7:Solve systems of equations.
LO7C:Write and solve systems of equations to solve real-world problems.
8. Solve the system by the substitution method.
4x + 3y = 5
6x + y = -1
a.
b.
c.
d.
Hint:Hint = Sections 7.1
SLO7:Solve systems of equations.
LO7B:Solve systems of equations by the substitution method.
9. The owner of The Daily Grind coffee shop mixed French roast coffee worth $9.00 per pound with Kenyan coffee worth $7.50 per pound in 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
Hint: Sections 7.1
SLO7:Solve systems of equations.
LO7C:Write and solve systems of equations to solve real-world problems.
10. 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
SLO7:Solve systems of equations.
LO7C:Write and solve systems of equations to solve real-world problems.