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IM2H Sem 1 Exam Extra Practice 1/13/20

Total questions: 34

Worksheet time: 8hrs 18mins

Name
Class
Date
1.

Which equation can be used to find the area of the composite figure shown?

a)

A = 8(15) + ½(15×7) + ½(9×8)

b)

A = 8(15) + 15(7) + 9(8)

c)

A = 24(8) + ½(15×7)

d)

A = 15(15) + ½(9×8)

2.
Find the missing sides and the perimeter
a)
34 cm
b)
35 cm
c)
30 cm
d)
7 cm
3.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
4.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

5.

Find the value of x.

a)

x = 27

b)

x = 53

c)

x = 49

d)

x = -16

6.

Given the two triangles, which congruence statement is NOT true?

a)

AB DFAB\ \cong\ DF

b)

DE ACDE\ \cong\ AC

c)

Δ ABC ΔDFE\Delta\ ABC\ \cong\ \Delta DFE

d)

ΔABC Δ DEF\Delta ABC\ \cong\Delta\ DEF

7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
8.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
9.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
10.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
11.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall,

Part 1: what is the distance above the ground it will reach?

Part 2: What angle does the ladder make with the ground?

(select two answers)

a)

12 feet

b)

13.9 feet

c)

21.0 °\degree

d)

22.6 °\degree

e)

67.4 °\degree

12.

Are the triangles similar?

a)

Yes, by AA~

b)

No, the angles don't match.

c)

Yes, by SSS~

d)

Yes, by SAS~

e)

No, the sides don' have the same scale factor.

13.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
14.
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
15.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
16.
a)

x = 12

b)

x = 21.75

c)

x = 14.8

d)

y = 32

e)

y = 34.5

17.
 Identify the slope and y -intercept in the equation:
a)
y = 2x - 2
b)
y = -2x + 2
c)
y = -2x + 4
d)
y = 2x + 4
18.

Write the equation of the line through the points (8, -7) and (-2, 8).

a)

y=32x+11y=\frac{3}{2}x+11

b)

y=32x+11y=-\frac{3}{2}x+11

c)

y=32x+5y=-\frac{3}{2}x+5

d)

y=32x19y=\frac{3}{2}x-19

19.
Write the equation of the line through the points (7, 8) and (-12, -11).
a)
y = x + 1
b)
y = x + 15
c)
y = -x - 1
d)
y = -x - 23
20.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

a)

y = -2x + 2

b)

y = 2x + 2

c)


y=12x2y=\frac{1}{2}x-2

d)

y=12x+2y=-\frac{1}{2}x+2

21.
Solve by clearing the fractions first:
a)
x = -4
b)
x = 4
c)
x = 3
d)
x = -12
22.
Clear the equation to solve.
a)
1
b)
2
c)
4.67
d)
12
23.

What type of angles are they?

And what is the value of x?

a)

VERTICAL

b)

ALTERNATE INTERIOR

c)

CORRESPONDING

d)

X = 6.6

e)

X = 16

24.

WHAT TYPE OF ANGLES ARE THEY?

WHAT IS THE VALUE OF X?

a)

ALTERNATE INTERIOR

b)

SAME SIDE INTERIOR

c)

CORRESPONDING

d)

X = 7

e)

X = 10.6

25.

WHAT TYPE OF ANGLES ARE THEY?

WHAT IS THE VALUE OF X?

a)

ALTERNATE INTERIOR

b)

SAME SIDE INTERIOR

c)

CORRESPONDING

d)

X = 3.75

e)

X = 13

26.

Factor the expression: -2h2 + 4h + 70

SELECT ALL THE FACTORS BELOW.

a)

-2

b)

(h - 7)

c)

(h + 7)

d)

(h + 5)

e)

(h - 5)

27.

Factor the expression: x2 + 21x + 38

SELECT ALL THE FACTORS BELOW.

a)

(x + 19)

b)

(x + 2)

c)

(x + 1)

d)

(x + 19)

e)

19

28.

Factor the expression: 10v2 + 11v - 8

a)

(5v + 8)(2v + 1)

b)

(v + 8)(v - 1)

c)

(5v + 8)(2v - 1)

d)

(10v - 8)(v + 1)

29.

What is the probability of choosing the letter

B from the word probability?

a)

1/10

b)

2/11

c)

2/2

d)

1/10

30.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
31.
a)
1/48
b)
1/6
c)
1/8
d)
1/24
32.
Find the value of x
a)
41
b)
45
c)
31
d)
98
33.
Find the measure of angle A.
a)
30 degrees
b)
160 degrees
c)
140 degrees
d)
32 degrees
34.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9