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Worksheets

Math Practice I

Total questions: 60

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

(x3- 4)(x2 +2x -1) =

a)

x6 - x3 - 4x2 - 6x + 4

b)

x5 - 4x2 + 8x4 - 8x - 4

c)

x5 + 2x4 - x3 - 4x2 - 8x + 4

d)

x6 + 2x4 + x3 - 8x - 4

2.

Factor the following equation: x2 - 7x +12

a)

(x + 3)(x + 4)

b)

(x - 3)(x + 4)

c)

(x - 3)(x - 4)

d)

(x + 3)( x - 4)

3.

Solve for x: 2x - 5 = 11

a)

7

b)

10

c)

8

d)

-5

e)

16

4.

4x - 9 = 5x + 1

a)

10

b)

5

c)

6

d)

-10

e)

-8

5.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
6.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
7.

Solve this system of equations


3x - y = 13

5x + 2y = 18

a)

(1, 4)

b)

(-1, 4)

c)

(4, -1)

d)

(-4, 1)

e)

(-1, -4)

8.

Solve this system of equations.


3a + 4b = -18

2a + 6b = -32

a)

b = -6, a = 2

b)

b = 2, a = -6

c)

b = 6, a=-2

d)

b=-6, a= -2

9.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
10.
What letter is at (7, -6)?
a)
D
b)
L
c)
X
d)
There is no letter at those coordinates.
11.
What letter is at (1,-7 )
a)
There is no letter at those coordinates.
b)
B
c)
C
d)
K
12.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = 2x - 3

13.
Consider the equation:
y = -5x + 4
Identify the slope and y-intercept.
a)
m=4, b=x
b)
m=-5x, b=4
c)
m=5, b=4
d)
m=-5, b=4
14.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

15.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
16.
a)
y = -1/3x - 1
b)
y = 1/3x - 1
c)
y = -3x + 1
d)
y = -1/3x + 1
17.
a)
y = x - 3
b)
y = -x - 3
c)
y = -x + 3
d)
y = x + 3
18.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
19.
Which runner was faster?
a)
Runner A
b)
Runner B
20.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
21.

Which of the following passes through (3, 7) and (1, -3)?

a)

y = 5x - 8

b)

5x + y - 22 = 0

c)

y = 2x + 1

d)

2x + y - 13 = 0

22.

Find the equation of the line which passes through (3, 4) and (5, 4).

a)

x - 4 = 0

b)

y + 4 = 0

c)

y - 4 = 0

d)

x + 4 = 0

23.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
24.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
25.
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
26.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
27.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
28.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
29.
The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?
a)
f(t)=0.6t+6.2
b)
f(t)=t+6.8
c)
f(t)=6.2-0.6t
d)
                                          f(t)=6.2t+0.6
30.
What is the range of this function?
a)
(150, 275)
b)
[150, 275]
c)
[220, 265]
d)
(220, 265)
31.
On a car trip, Theresa kept a record of her gas mileage. She discovered that for every 23 miles, she used 1 gallon of gas. Which of the following equations model this situation?
a)
x=y+23
b)
x=23y
c)
y=x+23
d)
y=23x
32.
If f(x)=3x-1 and g(x)=2x2-3, what is the value of f(2)+g(3)?
a)
5
b)
13
c)
20
d)
38
33.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
34.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
35.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
36.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
37.
What is the perimeter of this polygon?
a)
39 in
b)
24 in
c)
105 in 
38.

Ms. Dart has a rectangular garden that has the perimeter of 30 feet. If two of it's sides are 10 feet in length each, how wide is the garden?

a)

10 feet

b)

5 feet

c)

40 feet

d)

7 feet

39.

A football field is 300 feet long. If the perimeter of the field is 920 feet, what is the width?

a)

620 feet

b)

320 feet

c)

160 feet

d)

310 feet

40.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
41.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
42.
If the diameter of a circle is 50 yards, the radius is _____
a)
100 yards
b)
25 yards
c)
150 yards
d)
15 yards
43.
What is the area of this circle?
a)

201.06 m2

b)

50.27 m2

c)

123.12 m2

d)

94.43 m2

44.
What is the circumference of a circle with a diameter of 40 in? 
a)
125.6 in
b)
35.17 in
c)
28.67 in
d)
47.17 in
45.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
46.
Find the volume.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
47.
A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the diagram.  What is the volume of this container to the nearest ?
a)
 4,241.2
b)
1,696.5
c)
2,160.0
d)
6,785.8
48.
 Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
49.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
50.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
51.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
52.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
53.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
54.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
55.
What is the measure of the missing angle?
a)
39
b)
129
c)
119
d)
129
56.
Find the value of x. 
a)
17
b)
28
c)
68
d)
39.5
57.
Find the value of x. 
a)
13
b)
8.6
c)
5
d)
130
58.
Find the value of x. 
a)
61
b)
40
c)
54
d)
47
59.
1. Find X 
a)
28
b)
5
c)
55
d)
40
60.
3. Find ∠NOQ
a)
31
b)
59
c)
180
d)
149