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Unit 3 Review

Total questions: 100

Worksheet time: 7hrs 11mins

Name
Class
Date
1.
Identify the slope and y-intercept of:
y = 1/5x + 5
a)
slope: 1/6   y-intercept:  4 
b)
slope: 1/5   y-intercept:  5 
c)
slope: 5/1   y-intercept:  5 
d)
slope: 1   y-intercept:  5 
2.
Identify the slope and y-intercept of:
y = 3 -x
a)
slope:-1   y-intercept:  3
b)
slope: 1/5   y-intercept:  5 
c)
slope: 1    y-intercept:  -3
d)
slope: -1   y-intercept:  -3
3.
Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.
a)
y = 50 x + 12
b)
y = 50 + 12 x
c)
y = 62 x
d)
x = 50 + 12y
4.
Write a rule :  Miles has joined a weight loss program.  His weight is 225 lbs and he is losing weight at a rate of 3 lbs per week.
a)
y = 222 x
b)
y = 225 + 3 x
c)
y = 225 - 3x
d)
y=225x - 3
5.
What is the definition of a function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
6.
Which statement is true?
a)
A vertical line has a slope of zero.
b)
A line that contains points in Quadrant I and Quadrant III must have a negative slope.
c)
A line that rises as you move to the right along the line has a positive slope.
d)
A horizontal line has no slope.
7.
Which of the following is NOT a function?
a)
y = 4
b)
x = 3
c)
y=2x
d)
y=x
8.
Which of the following has a y-intercept of 3?
a)
y = 3x +2
b)
x=3
c)
y=2x+3
d)
y=x
9.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
10.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

11.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
12.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

13.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
14.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
15.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
16.
a)
Function
b)
Not a Function
17.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
18.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
19.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
20.
Will my line be solid?
5 ≥ x
a)
Yes
b)
No
21.

Choose the correct inequality for this graph.

a)
b)
c)
d)
22.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
23.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
24.
What inequality symbol goes with is at least?
a)
<
b)
>
c)
≤
d)
≥
25.
Are the points on the line part of the solution set or not? For example
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
26.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
27.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
28.

Where would you find a solution for


y < -x + 4

a)

In the shaded region above the line.

b)

In the shaded region below the line.

c)

On the line.

d)

On the origin.

29.
How can I tell if the graph of an inequality will have a solid line?
a)
It has just an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
30.
Do I need to flip my sign?
2x -3y  ≥ 12
a)
Yes
b)
No
31.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
32.
Are the points on the line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
33.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
34.
Which of the following equations match the given graph?
a)
y  < 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y ≤  2/5x + 1
d)
y ≥ -2/5x - 1
35.
Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.
a)
x + 2y < 240
b)
x + 2y > 240
c)
x + 2y ≤ 240
d)
x + 2y ≥ 240
36.
Which point is not a solution?
a)
(1, 3)
b)
(-1, 2)
c)
(3, -2)
d)
(5, 0)
37.

4x - 7 = 21

a)

x = 12

b)

x = 7

c)

x = 24

38.

What is the first step to solve this equation:

-3x + 11 = 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.

39.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
40.
   3 = 5x - 12
a)
2 = x
b)
4 = x
c)
3 = x
d)
-1 = x
41.
y/3 + 6 = 9
a)
15
b)
9
c)
3
d)
12
42.
2k + 12 = -4
a)
-8
b)
8
c)
-10
d)
4
43.
2x+3=x-7
a)
x=5
b)
x=-4
c)
x=1
d)
x=-10
44.
5x+1=2x-5
a)
x=-2
b)
x=-6
c)
x=3
d)
x=.5
45.
2x-1=3x+8
a)
x=7
b)
x=-9
c)
x=5
d)
x=3
46.
6x+3=2x-9
a)
x=-3
b)
-12
c)
x=-4
d)
x=6
47.
4a-2=3a-7
a)
a=-9
b)
a=-2
c)
a=7
d)
a=-5
48.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
49.
-138 ≥ -6(6b − 7)
a)
b ≤ 5
b)
b ≤ -5
c)
b ≥ 5
d)
b ≥ -5
50.
-p − 4p > -10
a)
p > -2
b)
p > 2
c)
p < -2
d)
p < 2
51.
I can solve Inequalities.
4(5x + 2) ≤ 28
a)
x ≤ 1
b)
x ≥ 1
c)
x ≤ 8
d)
x ≥ 8
52.
solve 5( 6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
53.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

54.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

55.
Solve:
-8(x - 3) - 4x < 108
a)
x > -38
b)
x > -14
c)
x > -7
d)
x < -38
56.

Solve the inequality

a)

x ≥ -7

b)

x ≤ -7

c)

x ≤ -15

d)

x ≥ -15

57.
Reduce the following fraction:
16/20 =
a)
8/10
b)
4/5
c)
1/2
d)
16/20
58.
Reduce the following fraction:
36/44
a)
9/11
b)
6/7
c)
4/9
d)
18/22
59.
Solve:
-6 x (-5)
a)
-30
b)
36
c)
30
d)
-36
60.
Solve:
4+ (-5) - 6
a)
3
b)
5
c)
-5
d)
-7
61.
Reduce the following fraction:
25/55
a)
2.5/5.5
b)
1/3
c)
5/11
d)
3/5
62.
Change the following mixed number into an improper fraction:
5  7/8
a)
20/8
b)
5/2
c)
47/8
d)
it already is an improper fraction
63.
What fraction is red?
a)
1/4
b)
2/4
c)
3/4
d)
4/4
64.
Which picture shows 3/4?
a)
green
b)
blue
c)
purple
d)
pink
65.
What fraction of the circle is pizza?
a)
1/3
b)
1/4
c)
1/2
d)
2/3
66.
What fraction of the rectangle is blue?
a)
1/3
b)
1/4
c)
3/4
d)
2/5
67.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
68.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
69.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
70.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
71.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
72.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
73.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
74.

Is the following function an example of decay or growth?

f(x) = 2(1.25)x

a)

Exponential Growth

b)

Exponential Decay

75.
What is the x-intercept of the exponential function? 
a)
(0,1)
b)
(0,0)
c)
There is not one
76.
Given y=3x determine the y-intercept 
a)
(0,1)
b)
(0,3)
c)
No Y-intercept
d)
y=1
77.

Write the explicit formula for the given pattern.

a)

y = 10x + 2

b)

y = 2x + 10

c)

y = 10(2)x

d)

y = 2(10)x

78.

Write the function for the given pattern.

a)

y = 2(100)x-1

b)

y = 100(2)x-1

c)

y = 100(1/2)x-1

d)

y = (1/2)(100)x-1

79.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Write the equation that represents this situation.

a)

y = 6x + 2

b)

y = 2x + 6

c)

y = 6(2)x

d)

y = 2(6)x

80.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. This situation is best modeled by a(n) _________________ function.

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

81.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

a)

y = -64x + 128

b)

y = 0.5x + 128

c)

y = 128(0.5)x

d)

y = 128(2)x

82.

Given the following table of values, construct the function that represents the sequence.

a)

y = 3(4)x

b)

y = 3x + 4

c)

y = 4(3)x

d)

y = 4x + 3

83.

Write the function rule to represent the table.

a)

y = 7x + 3

b)

y = 3(7)x

c)

y = 7(3) x

d)

y = 3x + 7

84.
What is the pattern you see in this table?
a)
Multiplying by 1/3
b)
Subtracting 8
c)
Multiplying by 3
d)
Subtracting 3
85.

James has a 70 inch giant peach. It doubles in size every week. Write an expression that would represent how big the peach is after x weeks.

a)

y=70(-2)x

b)

y=(2)x

c)

y=2(70)x

d)

y=5(70)x

86.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1 +.35)x
c)
y = 15(1- .35)x
d)
y = 35(1.15)x
87.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(1+ 15,000)x
b)
y=15,000(1+ .08)x
c)
y=15,000(1 - .08)x
d)
y=15,000(0.08)x
88.
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
a)
$361,223
b)
$310,500
c)
$150,000
d)
$280,500
89.
Use the function, M=.05(2)t, where M is the amount of money you have after t days.
How much money will you have after 14 days?
a)
$ 819.20
b)
$ 8,192.00
c)
$ 1.40
d)
$ 819.02
90.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
91.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
92.
Solve for t.
D= rt
a)
D/r = t
b)
Dr = t
c)
D/t = r
d)
Dt = r
93.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
94.
What should we do first to solve for x?
y=mx+b
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
95.
a)
b = 3A - a - c
b)
b = -3A + a - c
c)
b = -3A - a - c 
d)
b = 2A - c
96.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
97.
Solve:
y = mx + b , for b
a)
y - mx = b
b)
y + mx = b
c)
y/mx = b
d)
y + mx = -b
98.
Solve:
12x - 4y = 20  ,  for   y 
a)
y = 3x - 5
b)
y = -3x + 5
c)
y = -3x - 5
d)
y = 3x + 5
99.
Solve:
V = πr²h , for h
a)
V/(πr²) = h
b)
V - πr² = h
c)
V + πr² = h
d)
V/π = h
100.
Which expression represents the value of x in the equation:
dx + e = f
a)
x = (f + e)/d
b)
x = (f - e)/d
c)
x = d/(e - f)
d)
x = d/(e + f)

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