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Packet 3 Quiz

Total questions: 15

Worksheet time: 11mins

Name
Class
Date
1.

Write the equation of the line passing through the point (2, -1) with a slope of -3

HINT: Use y = mx + b to answer this problem.

2.

Which is an equation of the line with a slope of 23\frac{2}{3} passing through the point (4, -1)?

HINT: Use y = mx + b to answer this question.

a)

y=−14x+23y=\frac{-1}{4}x+\frac{2}{3}

b)

y=−4x+23y=-4x+\frac{2}{3}

c)

y=23x−53y=\frac{2}{3}x-\frac{5}{3}

d)

y=23x−113y=\frac{2}{3}x-\frac{11}{3}

3.

Write the equation of the line passing through the points (-4, -7) and (8, -13).

HINT: Use y = mx + b to solve this problem.

m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}

4.

Which scatterplot most likely has a line of best fit represented by y=3x+1?y=3x+1?

a)

A

b)

B

c)

C

d)

D

5.

The graph represents the relationship between the number of candy bars sold and the amount of profit made during the softball team's candy bar sale.

Which is the closest to the minimum number of candy bars that must be sold to make a $400.00 profit?

a)

A

b)

B

c)

C

d)

D

6.

Which table does not show a direct variation?

Direct variation: yx\frac{y}{x}

a)

F

b)

G

c)

H

d)

J

7.

Which graph shows that y varies directly as x?

a)

A

b)

B

c)

C

d)

D

8.

Which set of ordered pairs satisfies an inverse variation?
Inverse variation: y⋅xy\cdot x

a)

(6, 3) and (8, 4)\left(6,\ 3\right)\ and\ \left(8,\ 4\right)

b)

(2, −3) and (4, 5)\left(2,\ -3\right)\ and\ \left(4,\ 5\right)

c)

(4, −2) and (−5, 10)\left(4,\ -2\right)\ and\ \left(-5,\ 10\right)

d)

(2, 6) and (−3, −4)\left(2,\ 6\right)\ and\ \left(-3,\ -4\right)

9.

In the table to the left, y varies inversely as x. What is the missing value?

Inverse variation: y⋅xy\cdot x

a)

1

b)

3

c)

0.5

d)

0.25

10.

If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?

Direct variation: yx\frac{y}{x}

a)

y=−20xy=-20x

b)

y=−20xy=\frac{-20}{x}

c)

y=−5xy=-5x

d)

y=−5xy=\frac{-5}{x}

11.

Which equation represents an inverse variation with a constant of 56?

a)

yx=56\frac{y}{x}=56

b)

7y=8x\frac{7}{y}=\frac{8}{x}

c)

14y=14x\frac{1}{4}y=14x

d)

xy2=28\frac{xy}{2}=28

12.

For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object that has a volume of 30 cubic inches weighs 24 ounces, what is the constant of variation?

y=weighty=weight

x=volumex=volume

a)

45\frac{4}{5}

b)

720

c)

54\frac{5}{4}

d)

6

13.

The time required to complete a job varies inversely as the number of people working. It takes 4 hours for 7 electricians to wire a building. How long would it take 3 electricians to do the job?

Inverse variation: y⋅xy\cdot x

a)

1 hr 43 min

b)

5 hr 15 min

c)

7 hr 30 min

d)

9 hr 20 min

14.

Sarah burned 280 calories running 20 minutes. The next day, Sarah burned 490 calories running for 35 minutes.

⋅\cdot Let c represent the number of calories

⋅\cdot Let t represent time, in minutes, spent running

Which equation represents this relationship?

a)

c=5600tc=5600t

b)

ct=5600ct=5600

c)

c=14tc=14t

d)

t=14ct=14c

15.

How would you rank this quiz?

a)

Very easy

b)

Easy

c)

Okay

d)

Hard

e)

Very Hard