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IM2 S1 Exam Review

Total questions: 41

Worksheet time: 4hrs 37mins

Name
Class
Date
1.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
2.
Add the polynomials.
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
3.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
4.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
5.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
6.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
7.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
8.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
9.
Multiply
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
10.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
11.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
12.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
13.
What equation can be used to solve for x?
a)
Sin(40°)= x/40 
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
14.

Which equation could be used to solve for w?

a)

sin(40o) = w/28

b)

cos(40o) = w/28

c)

tan(40o) = w/28

d)

sin(40o) = 28/w

15.

Susan is flying a kite, which gets caught in the top of a tree. Which equation could be used to estimate the height of the tree?

a)

sin(44o) = x/90

b)

cos(44o) = x/90

c)

tan(44o) = 90/x

d)

tan(44o) = x/90

16.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Which equation could be used to estimate the length of the ramp?

a)

sin(10o) = 4/x

b)

cos(10o) = x/4

c)

tan(10o) = 4/x

d)

sin(10o) = x/4

17.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which equation could be used to find the height of the lighthouse?

a)

tan(90o) = x/26

b)

tan(26o) = x/90

c)

cos(26o) = 90/x

d)

cos(26o) = x/90

18.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. Which equation could be used to find the distance from the tree branch to the mouse?

a)

tan(15o) = 30/x

b)

cos(30o) = 15/x

c)

tan(30o) = 15/x

d)

sin(30o) = 15/x

19.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
20.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
21.
What scale factor was used to produce the image?
a)
2.5
b)
1.5
c)
3.5
d)
4
22.
Find the measure of x:
a)
6
b)
24
c)
33
d)
36
23.
State the coordinates of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
24.
State the coordinates of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
25.
The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
26.
Are the triangles similar?
a)
Yes
b)
No
27.
Which similarity theorem, if any, proves that these triangles are similar?
a)
SSS
b)
SAS
c)
AA
d)
None, the triangles are not similar
28.
Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)
a)
SSS
b)
SAS
c)
AA
d)
None, the triangles are not similar
29.
Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)
a)
SSS
b)
SAS
c)
AA
d)
None, the triangles are not similar
30.
How long is side x?
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
31.
How long is side x?
a)
3
b)
1.5
c)
8
d)
2/3
32.
Find side length X.
a)
30
b)
25
c)
15
d)
40
33.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
34.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
35.
Find missing side
a)
5
b)
7
c)
9
d)
11
36.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
37.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
38.
Which function is quadratic?
a)
f(x)
b)
h(x)
c)
g(x)
39.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
40.
Identify the y-intercept
a)
(-1,9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
41.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts

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