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IM1 Semester #1 Practice Final (part 1)

Total questions: 60

Worksheet time: 2hrs 20mins

Name
Class
Date
1.

Identify the property that would solve this equation:

 7+x=247+x=24  

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

2.


Identify the property that would solve this equation:

 x5=17x-5=17  


a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

3.

The Empire State Building is 1250 ft tall. The Statue of Liberty is 305 ft tall. At a certain time of day, the Statue of Liberty casts a shadow of 165 ft. What is the length of the shadow cast by the Empire State Building at the same time of day?

a)

 676.23 ft676.23\ ft 

b)

 2310.61 ft2310.61\ ft 

c)

 40.26 ft40.26\ ft 

d)

 165 ft165\ ft 

4.

How many yards is equivalent to 729 inches?


Recall: 12 inches=1 foot, 3 feet=1 yard


Just write the answer (with a label)...no need for complete sentences.

(a)  

5.

A soft-serve ice cream machine makes 1200 gallons per hour. Convert this rate to cups per minute.


Recall: 16 cups = 1 gallon, 60 minutes = 1 hour


Just write the answer (with a label)...no need for complete sentences.

(a)  

6.
Which expression contains exactly 3 terms?
a)
5 + 6xy
b)
9 + 4t
c)
8 + 2y - 5x
d)
24xy
7.
Which expression has 4 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
x/4 - 8p
8.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

9.

Identify the coefficients in this expression. 4 + 3x + 5x

a)

3x, 5x

b)

4, 3x, 5x

c)

3, 5

d)

x

10.
What is the constant term of:
14 - 8x - 7y
a)
-8
b)
-7
c)
14
d)
none
11.
A bicycle has a speed of 6 m/s. What is its speed in km/h?  (1 km=1000 m)
a)
21.6 km/h
b)
16.67 km/h
c)
2.16 km/h
d)
1.67 km/h
12.

Convert 62 miles/hour to feet/second

a)

5,456 feet/second

b)

.003 feet/second

c)

90.9 feet/second

d)

909 feet/second

13.

15 more than x is 38

a)

x+15=38

b)

x-15=38

c)

x+38=15

d)

x-38=15

14.

A t-shirt printing company charges a $15 set up fee and $7 per t-shirt. If a sports team spent $169, how many t-shirts did they order?

a)

22

b)

14

c)

27

d)

11

15.

A t-shirt printing company charges a $18 set up fee and $5 per t-shirt. If a sports team spent $83, how many t-shirts did they order?

a)

13

b)

17

c)

9

d)

25

16.

WRITE AN EQUATION

You bought a $5 magazine and four

erasers. You spent a total of $25. How

much did each eraser cost?

a)

5+x=25

b)

4x + 5 = 25

c)

5x = 25

d)

5x + 4 = 25

17.

Solve for p
SA =hp + 2BSA\ =hp\ +\ 2B

a)

SA2Bh=p\frac{SA-2B}{h}=p

b)

SAh2B=p\frac{SA}{h}-2B=p

c)

SAh2B=p\frac{SA-h}{2B}=p

d)

SA2Bh=pSA-2B-h=p

18.

Solve for h
V = lwhV\ =\ lwh

a)

V lw = hV\ -l-w\ =\ h

b)

Vlw = hV-lw\ =\ h

c)

Vlw= h\frac{V}{lw}=\ h

d)

Vlw=hV-\frac{l}{w}=h

19.

Solve for r:
LA = 2πrhLA\ =\ 2\pi rh

a)

LA2πh = rLA-2\pi h\ =\ r

b)

LA2πh= r\frac{LA}{2\pi h}=\ r

c)

LA2πh = r\frac{LA}{2}-\pi h\ =\ r

d)

2LAπh= r\frac{2LA}{\pi h}=\ r

20.

Solve for c:

ax2+bx+c=0ax^2+bx+c=0

a)

c = ax2bxc\ =\ -ax^2-bx

b)

c = ax2+bxc\ =\ ax^2+bx

c)

c=ax2bxc=\frac{ax^2}{bx}

d)

c=ax2bxc=ax^2-bx

21.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
22.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
23.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
24.

Solve the inequality.

30 + n ≥ 50

a)

x > 50

b)

x > 80

c)

x ≤ 30

d)

x ≥ 20

25.
What inequality does the number line graph represent. 
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
26.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
27.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
28.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
29.
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
30.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
31.
Solve: 
3x + 2 < -7  or  -4x + 5 < 1
a)
x < -3  and  x < 1
b)
x < -3  and  x > 1
c)
x < -3  or  x < 1
d)
x < -3  or  x > 1
32.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
33.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
34.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
35.
Is the graph pictured a function?
a)
Yes
b)
No
36.

Which graph is not a function?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

37.
What is the domain of the graph?
a)
{-4, -2, -2, 1, 1, 3}
b)
{-4, -2, -2, 1, 3}
c)
{-2, 1}
d)
{-4, -2, 1, 3}
38.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
39.
a)
Function
b)
Not a Function
40.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
41.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
42.

Please find the value of Y when x equals 3 to complete the table.

(a)  

43.

Please find the value of Y when x equals 1 to complete the table.

(a)  

44.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
45.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
46.

Which graph represents the equation  y=4x1y=4x-1  

a)
b)
c)
d)
47.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
48.
Graph. y = 2/3x - 3
a)
a
b)
b
c)
c
d)
d
49.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
50.
What is the x-intercept shown on the graph?
a)
(4, -2)
b)
(0, -2)
c)
(4, 0)
d)
(0, 4)
51.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
52.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
53.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

54.
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
a)
A
b)
B
c)
C
d)
D
55.
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
a)
A
b)
B
c)
C
d)
D
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.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
58.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
59.

Write the equation in Standard Form: -y=x+3

a)

x+y=3

b)

x+y=-3

c)

-x-y=3

d)

-3=x+y

60.

Write the equation in Standard Form: 12-3y=-x

a)

x-3y=-12

b)

-x+3y=12

c)

-x-3y=12

d)

-12=3y-x