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Mathematics, 26.03.2021 18:50 Stevencriollo6838

1.Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost of the large popcorn and the small drink? A. The large popcorn cost $5 and the small drink cost $3.

B. The large popcorn cost $3 and the small drink cost $2.

C. The large popcorn cost $4 and the small drink cost $3.

D. The large popcorn cost $2 and the small drink cost $4.

2.Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo’s score. How many points did Miguel score?

A.22 points

B.10 points

C.28 points

D.2 points

3.This item has Parts A and B.
Please scroll to the bottom of the page to answer each part

Part A: What is the difference in their savings after working 3 hours?
A. Mary Ann has saved $2 more than Carlos.
B. Mary Ann has saved $6 more than Carlos.
C. Carlos has saved $8 more than Mary Ann.
D. Carlos has saved $2 more than Mary Ann.

Part B: After how many hours of work will Mary Ann and Carlos have saved the same amount?
A.3 hours
B.5 hours
C.6 hours
D.4 hours

5.One equation in a system of linear equations is given in the graph.
image
Which of the following equations would have to be the second equation so that the system has no solutions?
A. y = x – 4
B. y = -x
C.6x – 4y = 6
D.9y = 6x

6.One equation in a system of equations is y = 2x + 4. Which of the following would be the second equation so that the system has (1, 6) as its only solution?
A. y = -2(x + 2)
B. y = 2x + 8
C. y = 4x – 7
D. y = 5x + 1

7.What error did Carolyn make?
A. Carolyn did not subtract 4 from both sides of the equation.
B. Carolyn did not distribute the -2 to both terms.
C. Carolyn did not substitute 3 for x to find the value of y for the solution.
D. Carolyn did not substitute x + 2 for y.

9.Consider the system of equations.

2x + 3y = 8
2x + 6y = 12

What could be the first step in solving the system of equations using elimination?
A. Multiply the first equation by -1.
B. Add 4 to both sides of the first equation.
C. Multiply the second equation by 2.
D. Add the two equations.

12.Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.

Part A: Which system of equations represents the given scenario? Let a represent adults and c represent children.

A.10a + 15c = 20
a + c = 225

B. 15a + 10c = 225
a + c = 20

C.10a + 15c = 225
a + c = 20

D. 15a + 10c = 20
a + c = 225

Part B: What is the solution to the system of equations?
A.5 adults and 15 children
B.9 adults and 9 children
C.10 adults and 10 children
D.15 adults and 5 children

A jar contains q quarters and d dimes. There are 7 coins in the jar and the total value of the coins is $1.00. Which system of equations can be used to find how many of each type of coin is in the jar?
A.0.25q + 0.10d = 1.00
q + d = 7

B.0.10q + 0.25d = 1.00
q + d = 7

C.25q + 10d = 1
q + d = 7

D.0.25q + 0.10d = 7.00
q + d = 1

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