Download Algebra II Test #2 Review Sheet Name: ____ 1. A food store makes

Algebra II
Test #2 Review Sheet
Name:
____ 1.
A food store makes a 11-lb mixture of barley, flakes, and nuts. The cost of barley is $1.50 per pound,
flakes cost $1.00 per pound, and nuts cost $1.00 per pound. The mixture calls for twice as much barley as flakes. The total
cost of the mixture is $14.00. How much of each ingredient did the store use?
a. 7 lb barley, 1 lb flakes, 3 lb nuts
b. 3 lb barley, 6 lb flakes, 2 lb nuts
c. 7 lb barley, 3 lb flakes, 1 lb nuts
d. 6 lb barley, 3 lb flakes, 2 lb nuts
____
2.
Solve the system of equations.
____
3.
Solve the system of equations.
____
4.
Solve the system by graphing.
Be able to graph and find the intersection without a multiple choice option to choose from!
____
5.
Solve the system by graphing.
____ 6.
A rental car agency charges a flat fee of $150.00 plus $44.00 per day to rent a certain car. Another agency
charges a fee of $108.00 plus $51.00 per day to rent the same car.
Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest
whole day.
___
7.
Solve the system of inequalities by graphing.
Algebra II
8.
Test #2 Review Sheet
Name:
Solve the system of inequalities by graphing.
Be able to graph and find the intersection without a multiple choice option to choose from!
____
9.
Solve the system of inequalities by graphing.
____
10.
Solve the system.
____
11.
Solve the system.
____
12.
Is the system independent, dependent, or inconsistent?
a. inconsistent
b. dependent
c. independent
____ 13.
A group of 39 people attended a ball game. There were twice as many children as adults in the group. Set
up a system of equations that represents the numbers of adults and children who attended the game and solve the system
to find the number of adults and the number of children who were in the group.
a.
c.
; 26 adults, 13 children
b.
; 13 adults, 26 children
d.
; 19 adults; 26 children
; 26 adults; 19 children
Algebra II
Test #2 Review Sheet
Name:
____ 14.
A candy store makes a 14-lb mixture of gummy bears, jelly beans, and gobstoppers. The cost of gummy
bears is $2.00 per pound, jelly beans cost $1.00 per pound, and gobstoppers cost $1.00 per pound. The mixture calls for
three times as many gummy bears as jelly beans. The total cost of the mixture is $23.00. How much of each ingredient did
the store use?
a. 10 lb gummy bears, 1 lb jelly beans, 3 lb
gobstoppers
b. 9 lb gummy bears, 3 lb jelly beans, 2 lb
gobstoppers
c. 10 lb gummy bears, 3 lb jelly beans, 1 lb
gobstoppers
d. 3 lb gummy bears, 9 lb jelly beans, 2 lb
gobstoppers
____
15.
Solve the system.
____
16.
Solve the system.
____
17.
Solve the system of inequalities by graphing.
____
18.
Solve the system by substitution.
____
19.
Solve the system using elimination.
Show your work for this one! Highlight final answer.
Mixed Review:
20. Graph :
21. Solve :
Show your work for this one! Highlight final answer.
Algebra II
Test #2 Review Sheet
Answer Key:
1.
2.
3.
4.
D
(–6, 0, 7)
No solution
(-1, 2)
10.
11.
12.
13.
14.
15.
16.
17.
y
4
2
–4
O
–2
2
4
Name:
10. (3, 1, –1)
11. (–7, 9, –5)
12. Independent
13. C
14. B
15. No Solution
16. Infinitely many solutions
y
17. Graph:
x
4
–2
–4
5.
2
–4
(0,-2)
y
–2
O
–2
4
–4
2
–4
–2
O
2
4
x
18.
19.
20.
–2
–4
21.
6.
7.
8.
6
C
Graph:
y
6
4
2
–6
–4
–2 O
–2
2
4
6
x
–4
–6
9.
Graph:
y
4
2
–4
–2
O
–2
–4
2
4
x
18. (-2, -3)
19. (3, -1)
20. Graph
21. x ≥ 17/2 or x ≤ 3/2
2
4
x