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Worksheets

MQQ2 Review

Total questions: 60

Worksheet time: 2hrs 7mins

Name
Class
Date
1.

4 - 6x - 2 = -2(3x - 1)

a)

x=6

b)

No Solution

c)

Infinite Solutions

d)

x=0

2.

2(x+5) = 2x + 5

a)

x=1

b)

No Solution

c)

Infinite Solutions

d)

x=0

3.

-4 (x - 4) - 5 = 12 - 4x

a)

x=4

b)

No Solution

c)

Infinite Solutions

d)

x=0

4.

2(3x - 5) = 6x - 10

a)

x=1

b)

No Solution

c)

Infinite Solutions

d)

x=-1

5.

4 + 2(2x - 1) = 2 + 4x

a)

x=0

b)

No Solution

c)

Infinite Solutions

d)

x=2

6.

12(2x - 4) = 8 + 24x - 48

a)

x=8

b)

No Solution

c)

Infinite Solutions

d)

x=-8

7.

4x - 8 + 2x - 4x = 2 + 2x - 10

a)

x = 0

b)

No Solution

c)

Infinite Solutions

d)

x = 1

8.
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
9.
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
10.
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
11.
-8(-8x - 6) = -6x - 22
a)
2/5
b)
-1
c)
8/7 
d)
2
12.

Solve the equation:

5p-14 = 8p+4

a)

p=7

b)

p= -6

c)

p=6

d)

p= -5

13.

Solve the equation:

8x-4 = -9+7x

a)

x=5

b)

x=3

c)

x= -5

d)

x= -3

14.

Solve the equation:

6p+2p-8 = p-1

a)

p=3

b)

p= -1

c)

no solution

d)

p=1

15.

3n-5 = -8(6+5n)

a)

n=1

b)

no solution

c)

n=-1

d)

infinite solutions

16.

Solve the equation:

4(2x-2)-6 = 4+2x

a)

x=-3

b)

x=3

c)

no solution

d)

infinite solution

17.

Name the type of solution for an answer in the form of 7=7.

a)

no solution

b)

infinite solutions

c)

one solution

18.

Name the type of solution for an answer in the form of 9 = -9.

a)

no solution

b)

infinite solutions

c)

one solution

19.

Name the type of solution for an answer in the form of x=13.

a)

no solution

b)

infinite solutions

c)

one solution

20.

Solve the equation:

3x+9 = 3(x+3)

a)

x=3

b)

x=1

c)

no solution

d)

infinite solutions

21.

Solve the equation:

5(x+3) = 5x+20

a)

no solution

b)

infinite solutions

c)

x=3

d)

x=4

22.

Solve the equation:

8m-6m+9-5 = 2(2m+3)

a)

m=-1

b)

m=1

c)

no solution

d)

infinite solutions

23.

The graph shows the distance a plane travels. What does the point (2, 10) on the graph represent?

a)

The plane travels 2 miles in 10 minutes.

b)

The plane travels 10 miles in 1 minute.

c)

The plane travels 10 miles in 2 minutes.

d)

The plane does not travel at a constant rate.

24.

The graph shows the distance a plane travels. Use one of the points on the graph to reduce to the unit rate.

a)

5 miles per minute

b)

5 minutes per mile

c)

10 minutes per mile

d)

10 miles per minute

25.

Use the graph to determine how many pounds of chicken salad you can buy for $52.50.

a)

5 lbs

b)

6 lbs

c)

7 lbs

d)

8 lbs

26.

Use the graph to determine how much 9 lbs of chicken salad costs?

a)

$67.50

b)

$60

c)

$75

d)

$52.50

27.

Which equation would be use to create the graph above?

a)

y = 50x

b)

y = 2x

c)

y = 0.02x

d)


y =150xy\ =\frac{1}{50}x

28.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
29.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
30.
What makes a graph proportional?
a)
Straight line
b)
The line goes through the origin
c)
Curvy line
d)
Straight line and the line goes through the origin
31.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
32.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality (how much did he make per hour)?
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
33.

What is the equation for the ladybug's line?

a)

y=2xy=2x

b)

y=12xy=\frac{1}{2}x

c)

y=3xy=3x

d)

y=13xy=\frac{1}{3}x

34.

What is the equation for the ant's line?

a)

y=2xy=2x

b)

y=12xy=\frac{1}{2}x

c)

y=3xy=3x

d)

y=13xy=\frac{1}{3}x

35.

How many seconds did it take the ant to go 6 cm?

a)

2 seconds

b)

3 seconds

c)

12 seconds

d)

18 seconds

36.

What is the equation for line f ?

a)

y=2xy=2x

b)

y=3xy=3x

c)

y=4xy=4x

d)

y=12xy=\frac{1}{2}x

37.

What is the equation for line g ?

a)

y=2xy=2x

b)

y=3xy=3x

c)

y=4xy=4x

d)

y=12xy=\frac{1}{2}x

38.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

39.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

40.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

41.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

42.

Find the slope of the line between the points (-1, 6) and (3, 8).

a)

m = 1

b)

m = 2

c)

m = 5/7

d)

m = 1/2

43.

Write the equation of the line with a slope of 4 and y-intercept of 3.

a)

y = 3x + 4

b)

y = 4x + 3

c)

y = 3x - 4

d)

y = 4x - 3

44.

Write the equation of the line with slope -3/4 and y-intercept of -2.

a)

y=2x 34y=2x\ -\ \frac{3}{4}

b)

y=34x+2y=\frac{3}{4}x+2

c)

y=34x2y=-\frac{3}{4}x-2

d)

y=6x8y=-6x-8

45.

Write the equation of the line on the graph.

a)

y = 2x + 3

b)

y = -2x + 3

c)

y = 3x + 2

d)

y = -3x + 1

46.

Write the equation of the line on the graph:

a)

y=14x6y=-\frac{1}{4}x-6

b)

y=14x+6y=-\frac{1}{4}x+6

c)

y=14x6y=\frac{1}{4}x-6

d)

y=4x+6y=4x+6

47.

Write the equation of the line on the graph:

a)

y=52x+1y=\frac{5}{2}x+1

b)

y=25x+1y=\frac{2}{5}x+1

c)

y=25x+1y=-\frac{2}{5}x+1

d)

y=52x+1y=-\frac{5}{2}x+1

48.

Write the equation of the line on the graph:

a)

y=x+5y=x+5

b)

y=5x+1y=5x+1

c)

y=5x+1y=-5x+1

d)

y=x+5y=-x+5

49.

Graph: y = 1/3x - 2?

a)
b)
c)
d)
50.

Graph: y = -3x + 4?

a)
b)
c)
d)
51.

Graph: y = -2x + 1?

a)
b)
c)
d)
52.

Graph: y = 3x?

a)
b)
c)
53.

Find the slope of the given graph.

a)

2/3

b)

-2/3

c)

3/2

d)

-3/2

54.

Describe the transformation that maps RSTU onto R'S'T'U'.

a)

Reflect over x = 1 and translate 2 units down.

b)

Translate 8 units right and 2 units up.

c)

Reflect over x = 1 and translate 2 units up.

d)

Translate 8 units left and 2 units down.

55.

Describe the sequence of transformations that maps Figure A to Figure C.

a)

Rotate Figure A 180º and then translate it 1 unit left.

b)

Rotate Figure A 90º and then reflect it over the x-axis.

c)

Rotate Figure A 90º, reflect if over the x-axis, and then translate it 1 unit down and 1 unit to the left.

d)

Rotate Figure A 180º and then translate it 1 unit down and 1 unit left.

56.
a)

Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

b)

Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.

c)

Yes. A translation 2 units up and 4 units right maps ADE to ABC.

d)

No. ABC is not similar to ADE.

57.
One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?
a)
2
b)
4
c)
8
d)
16
58.
Which of the statements is true about the graphed triangles?
a)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
b)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
c)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
d)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
59.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees around the origin

b)

Rotate -90 degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees about the origin.

60.

Which transformations keep figures congruent?

a)

translation, reflection, and dilation

b)

reflection, rotation, and dilation

c)

dilation, translation, reflection, and rotation

d)

translation, reflection, and rotation