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Worksheets

Chapter 1 & 2 Review

Total questions: 106

Worksheet time: 9hrs 31mins

Name
Class
Date
1.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

2.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

3.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

4.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

5.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

6.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

not similar

7.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

8.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. Select all that applies.

a)

AA

b)

SAS

c)

SSS

d)

not similar

9.
a)

1:3

b)

3

c)

2:3

d)

3:2

10.
a)

7

b)

12

c)

6

d)

4

11.

Find the value of X.

a)

4

b)

6

c)

12

d)

7

12.
a)

45°:117°:18°

b)

45°:18°:117°

c)

35°:115°:20°

d)

35°:120°:22°

13.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

14.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
15.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

16.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
17.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
18.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
19.
A map has a scale of 3 cm:18km.  If Oakdale and Woodridge are 54 km apart, then they are how far apart on the map?
a)
15 cm
b)
8.7 cm
c)
9 cm
d)
6 cm
20.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
21.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
22.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
23.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
24.
Find side length X.
a)
30
b)
25
c)
15
d)
40
25.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
26.
All angles in similar figures are congruent.  
a)
True
b)
False
27.
Sides in similar figures must be proportional.  
a)
True
b)
False 
28.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
29.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
30.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
31.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
32.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
33.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 
a)
7 in
b)
9 in
c)
12 in
d)
14 in
34.
All corresponding angles in congruent figures are congruent.  
a)
True
b)
False
35.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
36.

What is the first step to solve this equation:

11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

37.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
38.
5x+4=-6
a)
2
b)
-2
c)
10
d)
15
39.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
40.
-8x = -96
a)
x = -12
b)
x = 12
c)
x = 13
d)
x = 14
41.
4 + k/2 = -3
a)
14
b)
-14
c)
4
d)
-2
42.
Translate:
Five more than a number
a)
x + 5
b)
5x
c)
5 - x
d)
5 divided by x
43.
Solve the equation for the variable given.
7m+8=71
a)
10
b)
9
c)
12
d)
-10
44.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
45.
4(x+9)=20
a)
x=-4
b)
x=4
c)
x=14
d)
x=-14
46.
7(x + 2) + 3 = 73 Step 1: Distribute
7x + 14 + 3 = 73 Step 2: Combine like terms
7x + 17 = 73 Step 3: Subtract 17
                    Step 4: Divide by 7     
a)
x = -8
b)
x = 8
c)
x = - 12.86
d)
x = 12.86
47.
4(5 - x) = 8 Distribute
20 - 4x = 8 Subtract 20
Keep going...you've got this?           
 
a)
x = 3
b)
x = - 7
c)
x = 7
d)
x = - 3
48.
6(x + 3) = 48 Distribute
6x + 18 = 48 Subtract 18
6x = 30 Now what????
a)
Divide by 6
x = 5
b)
Subtract by 6
x = 24
49.
2x - 3 + 4x = 27
a)
x= 12
b)
x = 4
c)
x = 5
d)
x = 15
50.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
51.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
52.
Solve:
2(4x-3) - 8 = 4 + 2x
a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
53.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
54.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
55.

Solve.

(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

56.

Solve for x: 5x=25

a)

6

b)

5

c)

4

d)

50

57.

Solve for x: 4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

58.

Solve for r: 4=2r-10

a)

7

b)

15

c)

14

d)

9

59.

Solve for x: 297=7(8x-6)+3

a)

13

b)

12

c)

6

d)

10

60.

Solve for t: 19=14+t

a)

10

b)

18

c)

19

d)

5

61.

Solve for n: -119=1-6(3n-4)

a)

11

b)

8

c)

14

d)

9

62.

After paying $8.24 for a sandwich,Amanda has $7.71. With how much money did she start?

a)

$17.55

b)

$24.19

c)

$15.95

d)

$0.50

63.

Solve for n: 12=n-9

a)

12

b)

21

c)

211

d)

65

64.

I won 70 stickers. I gave 1 to each student. I have 54 left. How many did I give away?

a)

16

b)

38

c)

40

d)

73

65.

Solve for n: 7 (1 + 2n) = -105

a)

2

b)

7

c)

-8

d)

90909090909

66.

Solve for b: 11b+7=40

a)

45

b)

8

c)

4

d)

3

67.

Solve for x: 30=5(x+1)

a)

5

b)

50

c)

15

d)

6

68.

Solve for r: -87 = -3 (3r + 8)

a)

8

b)

7

c)

20

d)

5

69.

Solve for r: 13= r/9 + 8

a)

45

b)

5

c)

17

d)

15

70.

Solve for k: k/4 + 3 = 14

a)

21

b)

44

c)

12

d)

32

71.

Batteries cost $2.87 / pack. How many packs did Kathryn buy if she spent$11.48

a)

3

b)

4

c)

2

d)

10

72.

Solve for x: -4 + (x / 14) = -5

a)

5

b)

8

c)

-16

d)

-14

73.

Solve for n: (-5 (5 + 2n)) - 6 =-81

a)

-10

b)

-6

c)

5

d)

4

74.

Seven less than 3 times a number is 18. What is the equation?

a)

3x-7 =18

b)

7+3/x=18

c)

7-3x=18

d)

x/3-7=18

75.

Five times a number minus 4 is six. What is the number?

a)

50

b)

2

c)

2/5

d)

10

76.
Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?
a)
y = 4x - 4
b)
y = -4x - 4
c)
y = -4
d)
y = -4x + 4
77.
Identify the slope and y intercept in the equation of the line: y = -1/3x + 1
a)
Slope: 1/3
y-intercept: 1
b)
Slope: 1/3
y-intercept: -1
c)
Slope: -1/3
y-intercept: 1
d)
Slope: -1/3
y-intercept: 0
78.
 Identify the slope-intercept equation:
a)
y = 2x - 2
b)
y = -2x + 2
c)
y = -2x + 4
d)
y = 2x + 4
79.
What is the slope intercept form of the equation
-8x+2y=4
a)
y= 1/2 + 8x -4
b)
y= 2 - 4x
c)
y= 4x + 2
d)
y= 4x - 8y
80.
Change the following to slope-intercept form:
5x - 5y = 25
REALLY Write this on your paper and work it out!
a)
y = x - 5
b)
y = 5x - 1
c)
y = -x + 5
d)
y = 5x + 1
81.
Determine the "b"  value for the following equation
4x + 2y = -12

REALLY Write this on your paper and work it out!
a)
4
b)
-6
c)
-12
d)
2
82.
What is the slope of a line with the equation                    3x - 5y = 7
Really write this on your paper and work it out!
a)
5/3
b)
-5/3
c)
3/5
d)
-3/5
83.
Find the slope of the following equation. (Hint: Get y alone)
y-5 = -2 (x +6)

REALLY Write this on your paper and work it out!
a)
-2
b)
2
c)
-7
d)
7
84.
Find the slope of the following equation.  (Hint: Get y alone first)
3x-6y=12
REALLY Write this on your paper and work it out!
a)
3
b)
-3
c)
-1/2
d)
1/2
85.
Determine the slope and y-intercept from the following equation:   4x + y = -10
REALLY Write this on your paper and work it out!
a)
slope: 4   y-intercept:  (0,10)
b)
slope: -4   y-intercept:  (0,-10)
c)
slope: -4   y-intercept:  (0,10)
d)
slope: 4   y-intercept:  (0,-10)
86.
What is the slope of the line with the equation y - 5x = 11?
REALLY Write this on your paper and work it out!
a)
-5
b)
11
c)
5
d)
-11/5
87.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
88.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
89.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
90.
What is the slope
a)
-3/2
b)
3/2
c)
1
d)
-1
91.
Identify the slope of
the red line?
a)
3
b)
undefined
c)
zero
d)
none of the above
92.
Consider the equation:
y=-x+4
Identify the slope and
 y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
93.
m=
a)
1/2
b)
1/3
c)
3
d)
2
94.
Which line has a
positive slope?
a)
Blue
b)
Red
c)
Purple
d)
Green
95.
Which line has an undefined slope?
a)
Red
b)
Blue
c)
Purple
d)
Green
96.
Determine the slope between
 (4,2) and (-3,5).
a)
3/1
b)
-7/3
c)
3/7
d)
-3/7
97.
Find the slope between (5,2)  and (3,2).
a)
0
b)
Undefined
c)
3
d)
None of these.
98.

What is the y-intercept
a)
(2,0)
b)
(0,2)
c)
(0,-2)
d)
there is no y-intercept
99.
Find the slope of
 the line.
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
100.
The table represents the number of computer tablets sold. Tell whether the rates of change are constant or variable.
a)
variable
b)
constant
c)
neither 
d)
both
101.
Dev keeps a record in graph form of how far his car travels and the number of gallons
of gasoline it uses.
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
102.
Calculate the slope.
a)
m=-4/3
b)
m=4/3
c)
m=-3/4
d)
m=3/4
103.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
104.
Determine the slope.
a)
m= -5/2
b)
m=5/2
c)
m=2/5
d)
m=-2/5
105.
What number completes the table?
a)
63
b)
56
c)
70
d)
77
106.
What is the slope a horizontal line?
a)
-1
b)
undefined
c)
1
d)
0