Midterm Review - Algebra 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?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Answer explanation

Tags

CCSS.8.EE.C.8C

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?

• 1.5x + 0.5y = 78.5
  x + y = 87

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

• x + y = 78.5
  1.5x + 0.5y =87

• x + y = 78.5
  x + y = 87

Tags

CCSS.HSA.CED.A.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?

• x + y = 307

  x + y = 100

• x + 10y = 307

  x + y = 100

• x + 10y = 100

  x + y = 307

Tags

CCSS.HSA.CED.A.3

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.

• y= 7x

  y= 8x +3

• y= 7x + 3

  y= 8x

• y= 7x

  y= 8x - 3

Tags

CCSS.8.EE.C.8C

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

What was Karen's median test score?

• 70

• 85

• 90

• 95

Answer explanation

Find the line in the middle of the box.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

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?

• 
• 
• 
• 

Answer explanation

1. 1. Order the data

2. 2. Find the middle of the data.

3. 3. Find the middle of first half (Q1) and the middle of the second half (Q2)

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

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?

• Q1 = $1.83, Med = $2.52, Q3 = $2.64

• Q1 = $1.83, Med = $2.48, Q3 = $2.58

• Q1 = $1.88, Med = $2.52, Q3 = $2.64

• Q1 = $1.88, Med = $2.48, Q3 = $2.58

Answer explanation

1. 1. Order the data from least to greatest.

2. 2. Find the median (value in the middle)

3. 3. Find Q1 (middle of first half data) and Q3 (middle of 2nd half of the data)

Tags

CCSS.6.SP.B.5C

In order to find the median, the data must be sorted from least to greatest first.

• True
• False

Tags

CCSS.6.SP.B.5C

Find the IQR (Q3 - Q1)  of the data

20, 22, 25, 29, 31

• 30
• 21
• 25
• 7

Answer explanation

Q3 - Q1 = IQR

29 - 22 = 7.

Tags

CCSS.6.SP.B.5C

True or False
The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1).

• True
• False

Tags

CCSS.6.SP.B.5C