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Systems Of Equations Review
Test Description: Review for Unit 5 test on system of equations.
Instructions: Answer all questions to get your test result.
1) The CMSA basketball team played a game where they scored 46 points. They only scored 2-point baskets and 3-point baskets. The players made 13 more 2-point baskets (x) than 3-point baskets (y). How many 2 and 3 point shots did they make?
A
x=5 y=18
B
x=14 y=1
C
x=4 y=17
D
x=17 y=4
2) Mr. Legan went to Sports Authority and purchased some basketballs and some footballs. Basketballs (b) cost $30 each, and footballs (f) cost $25 each. He spent a total of $795. He bought 10 more basketballs than footballs .
A
30(f+10)+25b= 795
B
30(b+10)+25b= 795
C
30(b+10)+25f= 795
D
30(f+10)+25f= 795
3) Mr. Ratliff was purchasing some rulers and calculators for math class . He purchased $378 worth of items. He purchased 24 items. Each calculator cost $35, and each ruler cost $2.
A
14 rulers, 10 calculators
B
7 rulers, 10 calculators
C
12 rulers, 8 calculators
D
3 rulers, 15 calculators
4) Ben has for more than twice as many CDs as Jake. If they have a total of 31 CDs how many CDs does Jake have?
A
9
B
14
C
22
D
13
5) Jamie is 5 years older than her sister Amy. If the sum of their ages is 19, how old is Jamie?
A
5
B
12
C
7
D
14
6) Three times as many robins as cardinals visited a bird feeder. If a total of 20 robins and cardinals visited the feeder, how many were robins?
A
20
B
10
C
15
D
5
7) Sam and John have been selling pizzas for a class fundraiser. Sam has sold half as many pizzas as John. Together they have sold a total of 126 pizzas. How many pizzas did Sam sell?
A
21
B
84
C
42
D
63
8) The tickets for a concert cost $5 for adults and $2 for children. If the total number of tickets sold was 295 and the total amount collected was $1,220, how many adult tickets were sold?
A
210 adult tickets
B
200 adult tickets
C
175 adult tickets
D
220 adult tickets
9) A school is doing a fundraiser by selling hats and shirts. The number of shirts sold was three times the number of hats. Each shirt cost $5 and each hat cost $2.50. If the students made a profit of $210, how many hats and shirts were sold?
A
20 hats and 18 shirts
B
18 hats and 20 shirts
C
12 hats and 36 shirts
D
36 hats and 12 shirts
10) Ben had twice as many nickels as dimes. Altogether, Ben had $4.20. How many nickels and how many dimes did Ben have?
A
17 dimes and 44 nickels
B
42 dimes and 21 nickels
C
21 dimes and 42 nickels
D
30 dimes and 18nickels
11) At a movie theater, each popcorn costs $4.50 and each cola costs $2.50. Ms Deutsch took a bunch of kids to the movies and purchased 15 items. He spent a total of $57.50. How many colas did Ms Deutsch purchase?
A
3 colas
B
12 colas
C
5 colas
D
7 colas
12) Solve the system of equations: y=3x+11 6x-2y=3
A
(0,4)
B
(-3, -8)
C
No solution
D
Infinite Solutions
13) Solve the system of equations: -11x+12y=-18 x=-4y+22
A
Infinite Solutions
B
No solution
C
(-4,6)
D
(6,4)
14) Solve the System of Equations: y=2x+16 6x-3y=-48
A
Infinite Solutions
B
(0,0)
C
(4, 8)
D
No Solutions
*select an answer for all questions
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