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Int Math 1 S1 Final Review

Total questions: 74

Worksheet time: 4hrs 45mins

Name
Class
Date
1.
Solve the equation:
x - 4 = -3
a)
x = -7
b)
x = 1
c)
x = 12
d)
x = -12
2.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
3.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
4.
WRITE AN EQUATION
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
n=total cost pencils; 7n+10=24
b)
n=cost of 1 pencil; 7n-10=24
c)
n=cost of 1 pencil; 7n+10=24
d)
n=cost of 1 pencil; -7n-10=24
5.
Translate the sentence into an equation:
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
6.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
7.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
8.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
9.

Solve the equation:

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

10.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
11.
Solve the equation:
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
12.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = x + 2
b)
y = 2x - 1
c)
y = -x + 2
d)
y = -2x - 1
13.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = 1/3x - 1
b)
y = 1/4x -1
c)
y = -1/3x +1
d)
y = -1/4x + 1 
14.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
15.
What is the slope of the line passing through the points (3,5) and (-1,7)?
a)
-1/2
b)
-1
c)
-2
d)
1/2
16.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
17.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
18.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

19.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
20.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
21.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
22.
How would you say h(n)
a)
n of h
b)
h of n
23.

Find f(3)

a)

5

b)

4

c)

3

d)

0

24.

The data in the table below satisfies a linear equation.

Which of the following equations best represents the data in the table?

a)

y = 2x

b)

y = -2x - 7

c)

y = 1/2x + 7

d)

y = 2x + 7

25.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
26.
Is the pictured graph growth, decay, or linear or none?  
a)
Growth
b)
Decay
c)
Linear
d)
None
27.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
28.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
29.

Is the following function and example of decay or growth?

f(x)=2(0.85)x

a)

Exponential Decay

b)

Exponential Growth

30.

Is the following function an example of decay or growth?

f(x) = 2(1.25)x

a)

Exponential Growth

b)

Exponential Decay

31.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
32.
Given y=3determine the y-intercept 
a)
(0,1)
b)
(0,3)
c)
No Y-intercept
d)
y=1
33.
Most automobiles depreciate as they get older. Suppose an automobile that originally costs $14,000 depreciates by 20% of its value every year. 
What exponential equation can we create to model this situation?
a)
y=14000(.20)x
b)
y=14000(.80)x
c)
y=14000(1+.20)x
d)
y=14000(1+.80)x
34.
Most automobiles depreciate as they get older. Suppose an automobile that originally costs $14,000 depreciates by 20% of its value every year. 
What is the value of this automobile after 5 years?
a)
$264,539.52
b)
$4.48
c)
$4,587.52
d)
$34,836.48
35.
A sculpture is increasing in value at a rate of 9% per year, and its value in 2000 was $1500. Write an exponential growth function to model this situation.
a)
f(t)=1500(1.09)t
b)
f(t)=1500(0.09)t
c)
f(t)=2000(0.09)t
d)
f(t)=1500(9)t
36.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 17
d)
x ≤ 10
37.
6x + 10 > 5x - 12
a)
x > 2
b)
x < -2
c)
x < -22
d)
x > -22
38.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
39.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
40.
What inequality is graphed?
a)
2 < x < 4
b)
2 ≤ x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
41.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
42.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
43.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
44.
Solve for r.
a)
A
b)
B
c)
C
d)
D
45.
What is the definition of 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
46.
a)
Function
b)
Not a Function
47.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
48.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
49.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
50.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

51.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

52.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

53.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
54.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
55.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
56.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
57.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
58.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
59.
Find the y-intercept of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
b = -6
b)
b = -7
c)
b = 6
d)
b = 7
60.
 Write the equation of the line that passes through the points (0, -5) and (4, 3)
a)
y=2x-5
b)
y=1/2x-5
c)
y=2x+5
d)
y=1/2x+5
61.
a)
52
b)
26
c)
208
d)
2
62.
What is the slope?
a)
$2 per mile drive
b)
$.50 per mile driven
c)
2 miles driven per $1 
d)
1 mile driven per $2
63.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
64.
Which equation matches the table?
a)
y = 100(1/2)x
b)
y = .5x
c)
y = -50x + 100
d)
y = (1/2)x+100
65.
Which equation matches the table?
a)
y = 9.8x
b)
y = 9.8x + 49
c)
y = 49x - 9.8
d)
y = -9.8x + 49
66.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
67.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)
Pick your favorite number
b)
Add the two numbers in the middle & then divide by two.
c)
They are both the median
d)
None of the above
68.
2. Which of the following best describes the process of finding the interquartile range for a set of data?
a)
Add the biggest and smallest numbers.
b)
Place the numbers in order from least to greatest and find the middle.
c)
Find the difference between the maximum and the minimum.
d)
Subtract Q1 from Q3.
69.
What percent of students have a height between 58 inches and 60 inches?
a)
25%
b)
50%
c)
75%
d)
100%
70.
What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
71.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
72.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
73.
Solve for x
a)
11
b)
5
c)
8
d)
7
74.
Solve by cross-multiplying
a)
x = 6
b)
x = -6
c)
x = 6/7
d)
x = -6/7