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Worksheets

3rd Quarter Review

Total questions: 80

Worksheet time: 3hrs 3mins

Name
Class
Date
1.
adding integers with DIFFERENT signs
a)
subtract their absolute value; keep the sign of the integer with the higher absolute value
b)
add their absolute value and keep the sign of the integers
c)
change subtraction sign (between the integers) to an addition sign and change the sign of the integer following it to its opposite (if it was positive, make it negative; if it was negative, make it positive); then solve
2.
adding integers with the SAME sign
a)
add their absolute value and keep the sign of the integers
b)
subtract their absolute value; keep the sign of the integer with the higher absolute value
c)
change subtraction sign (between the integers) to an addition sign and change the sign of the integer following it to its opposite (if it was positive, make it negative; if it was negative, make it positive); then solve
3.
Define Absolute Value
a)
The distance a number is from zero
b)
The highest number in the number line
c)
The opposite of the value
4.
What do you get when you multiply a negative by zero?
a)
Positive
b)
Negative
c)
Zero
5.
What do you get when you divide a negative by a negative?
a)
Positive
b)
Negative
6.
What do you get when you multiply a negative by a negative?
a)
Positive
b)
Negative 
7.
What do you get when you multiply a negative by a negative?
a)
Positive
b)
Negative 
8.
What do you get when you multiply a negative by a positive?
a)
Positive
b)
Negative
9.
A cyclist travesl downhill for 125 feet.  Then she travels up a hill 50 feet.  How far is the cyclist?
a)
-75 feet
b)
175 feet
c)
75 feet
d)
-25 feet 
10.
A team gained 5 yards on their first play of the game.  Then they lost 6 yards.  Find the total change in yardage.  
a)
-1 yard
b)
1 yard
c)
11 yards
d)
-11 yards 
11.
A roller coaster begins at 90 feet above ground level.  Then, it descends 105 feet.  Find the height of the coaster after the first descent. 
a)
-15 feet
b)
15 feet
c)
195 feet
d)
5 feet 
12.
In which quadrant is the following point?
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
13.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
14.
The axes divide the coordinate plane into four sections called what? 
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
15.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
16.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
17.
The vertical number line in the coordinate plane is called what? 
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
18.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
19.
Find the area of the quadrilateral on the coordinate plane
a)
10 sq. units
b)
6 sq. units 
c)
8 sq. units
d)
12 sq. units
20.

Reflecting over the y-axis changes the __________. 

a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
21.
After a reflection over the x-axis, (5,10) is the image of point N.  What is the original location of point N?
a)
(-5, 10)
b)
(10,5)
c)
(5, -10)
d)
(-5, -10)
22.
Find the distance between the two ordered pairs.
a)
12
b)
-8
c)
8
d)
10
23.
What is the reflection of F (3, 4) over the x-axis?
a)
F (-3, -4)
b)
D' (3, -4)
c)
D (-3, 4)
d)
D (4, 3)
24.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
25.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
26.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
27.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
28.

X2 can be combined with X

a)

True

b)

False

29.

x2 can be combined with 2x2

a)

True

b)

False

30.

Simplify the Expression:


2x2 - 7x + 10 - x2

a)

-4x2 + 10

b)

20x

c)

x2 - 7x + 10

d)

3x2 - 7x - 10

31.
Evaluate the expression: x + 2 when x = 6
a)
8
b)
4
c)
12
d)
10
32.
If a = 4 and b = 6, what is the value of 3a + 5b?
a)
40
b)
42
c)
44
d)
46
33.
b(b + 12)
b = 2
a)
28
b)
14
c)
144
d)
24
34.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
35.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

36.
What does "product" mean?
a)
Multiply
b)
Divide
c)
Add
d)
Subract
37.
The word "of" represents what operation?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
38.
Write an algebraic expression for:
 35 decreased by a number
a)
35+n
b)
35-n
c)
n-35
39.
Write a verbal expression for:
4q
a)
Four q
b)
Four times q
c)
Four plus q
40.
The sum of seven and twelve
a)
7 + 12
b)
12 - 7
c)
12 x 7
41.
8 (n - 3)
a)
Eight minus n and three
b)
Eight times the difference of n and three
c)
The addition of n and 3
42.
12 ÷ 6
a)
The sum of twelve and six
b)
The quotient of twelve and six
c)
The product of twelve and six
43.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
44.
4 less than 5 
a)
4 - 5
b)
5 - 4
c)
4p - 5
d)
5 - 4p 
45.
What does "quotient" mean?
a)
add
b)
subtract 
c)
multiply
d)
divide
46.
Four times the sum of 7 and w
a)
4 x w
b)
4(7 + w)
c)
47w
47.
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
48.

An expression...

a)

has an equal sign

b)

does NOT have an equal sign

49.

An equation...

a)

has an equal sign

b)

does NOT have an equal sign

50.

The co in coefficient means with or together.

a)

True

b)

False

51.

The constant is the number that stands alone.

a)

True

b)

False

52.

A variable is a symbol that represents a number.

a)

True

b)

False

53.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
54.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
55.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
56.
Which of the following is used to solve single step equations mathematically?
a)
substitution
b)
inverse operations
c)
frequency
d)
data analysis
57.
Which of the following can always be used to check your solution to your equation?
a)
distributive property
b)
difference
c)
substitution
d)
mean
58.
When solving an equation, our goal is to:
a)
add all the numbers together.
b)
use a calculator.
c)
eat lunch.
d)
isolate the variable to solve.
59.
What is the solution for x + 9 = 21
a)
10
b)
12
c)
11
d)
13
60.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
61.
m+13=21
a)
m=34
b)
m=8
c)
m=273
d)
m=6
62.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
63.
Solve this equation.
a)
x = 4
b)
x = 7
c)
x = 3
d)
x = 11
64.
Greater than
a)
<
b)
>
c)
≤
d)
≥
65.
Less than or equal to
a)
<
b)
>
c)
≤
d)
≥
66.
Greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
67.
Less Than
a)
<
b)
>
c)
≤
d)
≥
68.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
69.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
70.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
71.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

72.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

73.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
74.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
75.
Write the inequality:
There are fewer than 20 days left in October. 
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
76.
Write the inequality:
The speed limit on Rollins Road is 35 miles per hour. 
a)
x > 35
b)
x < 35
c)
x ≥ 35
d)
x ≤ 35
77.

Which of the following choices are solutions to the inequality?

x > 4

SELECT ALL THE APPLY

a)

3

b)

4

c)

5

d)

6

78.

Which of the following choices are solutions to the inequality?
 X ≤\le  10
SELECT ALL THAT APPLY

a)

10

b)

11

c)

9

d)

8

79.

Which inequality represents:

John has at most $1,000?

a)

X < $1,000

b)

X > $1,000

c)

X ≤\le $1,000

d)

X ≥\ge $1,000

80.

Which inequality represents:

He has more than 8 pets.

a)

X > 8

b)

X < 8

c)

X ≥\ge 8

d)

X ≤\le 8