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Unit 4 Practice

Total questions: 10

Worksheet time: 21mins

Name
Class
Date
1.

Finn and Cole each spend every week on video games. Finn's spending can be represented by the equation s=33w, where s is the total spending and w is weeks. The graph shows Cole's spending. Who spends more money? Explain

a)

Finn spends more money. Finn spends 3 dollars more per week than Cole.

b)

Finn spends more money. Finn spends 7 dollars more per week than Cole.

c)

Cole spends more money. Cole spends 3 dollars more per week than Finn

d)

Cole spends more money. Cole spends 7 dollars more per week than Finn

2.

The two right triangles in the figure are similar because each hypotenuse lies along the same line.

What are the coordinates of point D? Hint Think about the slope of the line or riserun\frac{rise}{run}

a)

8, 5

b)

10, 6

c)

10, 4

d)

12, 4

3.

The table shows the relationship between (d) distance in miles driven in relation to time (t) in hours. Which graph correctly matches this table?

a)

b)

c)

d)

4.

Charles want to buy charcoal for his grill. The graph, table and equation show the cost ($) of three different brands based on the number of bags. Each bag has the same amount of charcoal. Order the bags from least to greatest cost for one bag.

a)

A B C

b)

C B A

c)

A C B

d)

B C A

5.

Mr. Diaz changed his shower head to conserve water and energy. The table shows the relationship between the amount of flow and the duration of the water flow.


Select ALL of the following that correctly interpret parts of the graph.

a)

The point at point 0,0 means that if Mr. Diaz does not take a shower he will not use any water.

b)

The point at 1, 2.5 means that 1 minute of running the shower will use 2.5 gallons of water.

c)

The point at 2, 5 means that the amount of water used for a 2 minute shower is 5 times more than a 1 minute shower.

d)

The point 6, 15 means a 15 minute shower uses 6 gallons of water.

e)

The point 10,25 means that a 25 minute shower uses 10 gallons of water.

6.

The ordered pair (1,1.5) lies on a graph that depicts the proportional relationship between the number of books read, x, and time, y, in hours. What does the point represent?

a)

Each book takes one and one-half hour to read.

b)

Each book takes one half-hour

c)

Every one and one half books read takes one hour to read

d)

Each book takes one hour to read.

7.

What the point (4, 240) represent on this graph

a)

240 boxes takes 1 minutes which is 240 boxes per minute

b)

240 boxes packaged in 4 minutes which is 60 boxes per minute

c)

240 boxes takes 1 minutes which is 60 boxes per minute

d)

240 boxes packaged in 4 minutes which is 4 boxes per minute

8.

Which statement explains the relationship between the slope of the line and the features of the triangles?

a)

The triangles are similar and have the same ratio for the height to the base 64=32\frac{6}{4}=\frac{3}{2} The slope is 32\frac{3}{2}

b)

The triangles are congruent and have the same ratio for the height to the base 64=32\frac{6}{4}=\frac{3}{2} The slope is 32\frac{3}{2}

c)

The triangles are similar and have the same ratio for the height to the base 46=23\frac{4}{6}=\frac{2}{3} The slope is 23\frac{2}{3}

d)

The triangles are congruent and have the same ratio for the height to the base 46=23\frac{4}{6}=\frac{2}{3} The slope is 23\frac{2}{3}

9.

Triangles ADB and AFC are shown in the coordinate plane.

Use the drop down to correctly complete the statement. The slope of AB is equal to the slope of AC because the ratio of ​ ​ (a)   is equal to ​ (b)  

Choose from the below words
DB to AD
FC to AF
AD to AB
DB to FC
BC to EF
10.

Carter receives $13.50 for every 5 boxes of chocolate he sells. Which graph shows this relationship?

a)
b)
c)
d)