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Midterm Review - Algebra 1

Total questions: 15

Worksheet time: 35mins

Name
Class
Date
1.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
2.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)

1.5x + 0.5y = 78.5
x + y = 87

b)

1.5x + 0.5y = 78.5
1.5x + 0.5y = 87

c)

x + y = 78.5
1.5x + 0.5y =87

d)

x + y = 78.5
x + y = 87

3.

Students are selling grapefruits and apples for a fundraiser. The grapefruits cost $1 each and a bag of apples costs $10. They sell 100 items and make $307. What would be a system of equations that represents this situation?

a)

x + y = 307

x + y = 100

b)

x + 10y = 307

x + y = 100

c)

x + 10y = 100

x + y = 307

4.

Jada earns $7 per hour mowing her neighbors lawn. Andre spends $3 on gas to show up to babysit plus an additional $8 per hour. Write a system of equations to represent their income.

a)

y= 7x

y= 8x +3

b)

y= 7x + 3

y= 8x

c)

y= 7x

y= 8x - 3

5.

Karen constructed the box-and-whisker plot below to show information about her first semester scores.

What was Karen's median test score?

a)

70

b)

85

c)

90

d)

95

6.

The list below shows the most recent test scores for students in Mr. Garcia’s study group.

78, 90, 94, 72, 80, 68, 72, 88, 94, 98, 86, 96

Which box-and-whisker plot correctly represents the data in the list?

a)

b)

c)

d)

7.

The data shows the average price of frozen orange juice at various times.

$1.83, $1.88, $1.83, $1.94, $2.54, $2.50, $2.46, $2.64, $2.73, $2.58

What are the three quartiles of the data?

a)

Q1 = $1.83, Med = $2.52, Q3 = $2.64

b)

Q1 = $1.83, Med = $2.48, Q3 = $2.58

c)

Q1 = $1.88, Med = $2.52, Q3 = $2.64

d)

Q1 = $1.88, Med = $2.48, Q3 = $2.58

8.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
9.

Find the IQR (Q3 - Q1)  of the data

20, 22, 25, 29, 31

a)
30
b)
21
c)
25
d)

7

10.
True or False
The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1).
a)
True
b)
False
11.
Use the box plot to answer the question.
a)
14
b)
18
c)
15
d)
12
12.

Which one of the systems below is not equivalent to the system given below?

2x + 3y = 23

3x + 5y = 37

a)

2x + 3y = 23

12x + 20y = 148

b)

2x + 3y = 23

18x + 30y = 222

c)

2x + 3y = 23

9x + 16y = 111

d)

2x + 3y = 23

15x + 25y = 185

13.

Which one of the systems below is not equivalent to the system given below?

2x + 3y = 23

3x + 4y = 37

a)

4x + 6y = 46

3x + 4y = 37

b)

6x + 9y = 46

3x + 4y = 37

c)

-2x - 3y = -23

3x + 4y = 37

d)

8x + 12y = 92

3x + 4y = 37

14.

Which one of the systems below is equivalent to the system given below?

2x + y = 23

3x + 4y = 37

a)

3(-2x + 23) + 4y = 37

b)

3x + 4y (-2x + 23) = 37

c)

3x + 4y - 2x + 23 = 37

d)

3x + 4(-2x + 23) = 37

15.

Donna bought children books at $11 each and some notebooks at $2 each for $43. She bought of total of 8 children books and notebooks. How many children books did she buy?

a)

3

b)

4

c)

5

d)

13