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Worksheets

1st Half Review

Total questions: 123

Worksheet time: 11hrs 40mins

Name
Class
Date
1.
12(3 + 4) =
a)
36 + 48
b)
15 + 16
c)
123 + 124
d)
0.84
2.
8(3 + 4) =
a)
24 + 32
b)
11 + 12
c)
123 + 124
d)
5 + 4
3.
12(3 + 4) =
a)
36 + 48
b)
15 + 16
c)
123 + 124
d)
0.84
4.
Which expression uses the greatest common factor and distributive property to express
54 + 90?
a)
9 ( 6 + 10 )
b)
9 ( 6 + 90 )
c)
30 ( 24 + 60 )
d)
18 ( 3 + 5 )
5.
Which expression uses the greatest common factor and distributive property to express
54 + 90?
a)
9 ( 6 + 10 )
b)
9 ( 6 + 90 )
c)
30 ( 24 + 60 )
d)
18 ( 3 + 5 )
6.
Rewrite using distributive property and GCF.
16 + 24
a)
2(8+12)
b)
3(5+8)
c)
4(4+6)
d)
8(2+3)
7.
Which expression is equivalent to 36 + 42 ? 
Using the Greatest Common Factor (GCF)?
a)
2(18 + 21)
b)
3(12 + 14)
c)
6(6 + 42)
d)
6(6 + 7) 
8.
Rewrite using distributive property and GCF.  
24 + 30
a)
6(4+5)
b)
8(3+4)
c)
6(4) + 6(2)
d)
6x2+5
9.
GCF of 24 and 56
a)
2
b)
4
c)
6
d)
8
10.

The equation is shown. What FACTOR is missing from the equation?

30 + 12 = __(5 + 2)

a)

6

b)

8

c)

2

d)

4

11.
Which expression is equivalent to 36 + 42 ? 
Using the Greatest Common Factor (GCF)?
a)
2(18 + 21)
b)
3(12 + 14)
c)
6(6 + 42)
d)
6(6 + 7) 
12.
Rewrite the sum of the numbers as the product of their GCF and another sum. 36 + 45 = ?
a)
6(6 + 9)
b)
3(12+15)
c)
9(4 + 5)
13.
Find the missing number using the distributive property.
10 + 20  =  2(5 +  __)
a)
2
b)
4
c)
5
d)
10
14.
Which expression is used to find the total area of the figure shown? 
a)
9 (10 + 7) 
b)
9 x 10 + 7 
c)
(10 x 7) x 9
d)
9 x 10 x 7 
15.
Rewrite using distributive property and GCF.  
24 + 30
a)
6(4+5)
b)
8(3+4)
c)
6(4) + 6(2)
d)
6x2+5
16.
What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9 x (2 + 10)
a)
identity
b)
associative
c)
commutative
d)
distributive
17.
There are 6 groups of kids with 3 boys and 2 girls in each of the groups. Which expression represents this situation?
a)
6 x 3 + 2
b)
(6 x 3) x 2
c)
(6 + 3) x (6 + 2)
d)
6 (3 + 2) 
18.
Frolie made gift bags for his teachers. He made 6 identical bags with 1 gift card, 2 packages of beef jerky, and 5 chocolates in each. Which expression represents this situation?
a)
6 (1 + 2 + 5)
b)
(6 + 1) x (6 + 2) x (6 + 5)
c)
6 (1 x 2 x 5)
d)
6 + (1 x 2 x 5)
19.
There are 8 rows of flowers in the garden. Each row has 3 roses, 4 mums, and 5 tulips. Which expression represents this situation?
a)
(8+3) x (8+4) x (8+5)
b)
8 (3 + 4 + 5)
c)
8 + (3 x 4 x 5)
d)
8 + 3 + 4 + 5
20.
Mr. Boughton gave each of his three children a $20 bill and a $100 for their birthdays (all of which are in March). Which expression represents the total amount he gave?
a)
3 x 20 + 100
b)
(3 + 20) x (3 + 100)
c)
(3 x 20) + (3 x 100)
d)
3 + 20 + 100
21.

What is the value of 73?

a)

243

b)

343

c)

300

d)

21

22.

What is the coefficient in the following expression: 21x2

a)

21

b)

x

c)

2

d)

12

23.

Sarah has 6 more than 3 times as many strawberries as Juan.


What expression that matches the situation?

a)

6 + 3x

b)

3x

c)

6 + 3

24.

Sarah has 6 more than 3 times as many strawberries as Juan.


What does the variable mean in this situation? Look above for the expression you choose.

a)

It means 21

b)

The amount of strawberries that Sarah and Juan have.

c)

The amount of strawberries that Juan has.

d)

The amount of strawberries that Sarah has.

25.

Sarah has 6 more than 3 times as many strawberries as Juan.


If Juan has 10 strawberries, how many does Sarah have?

a)

12

b)

16

c)

46

d)

36

26.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
27.
a number cubed plus 8
a)
n ∙ 4 + 8
b)
n2 + 8
c)
n3 + 8
d)
n + n + n + 8
28.
eight plus triple the number of shirts
Let s = number of shirts
a)
8 + 3s
b)
8 + s
c)
3s - 8
29.
Write the expression. 
The cost of 3 CDs and a $10 DVD
a)
3 + c + 10 + d
b)
3c + 10
c)
3c - 10 - d
d)
3 + c - 10 
30.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
31.
Evaluate the expression a + b when a=8 and b=10
a)
18
b)
2
c)
80
d)
810
32.
Evaluate the expression 6z - 2t when z = 4 and t=3
a)
41
b)
1
c)
12
d)
18
33.
Evaluate the expression 82 + 14 x 2. 
a)
156
b)
92
c)
44
34.
Evaluate the expression (53 - 4) ÷ 11
a)
11
b)
1
35.

Brandon and Ty like video games. Ty has t video games and Brandon has 24 video games, together they have 32 video games. What equation represents this situation?

a)

t + 32 = 24

b)

t + 24 = 32

c)

t - 24 = 32

d)

t = 24

36.
How many terms are there in 18-3x+25
a)
3
b)
4
c)
2
d)
6
37.

Using the distributive property, determine whether the math sentence is true or false.

30-18 = 6(5 – 3)

a)

True

b)

False

38.

Jaquan practices soccer every 3 days. He practices basketball every 5 days.

Jaquan practiced both soccer and basketball today.


How many days until Jaquan practices soccer and basketball again on the same day?

a)

15

b)

12

c)

18

d)

20

39.

What is the LCM of 2, 4, 6?

a)

6

b)

12

c)

4

d)

2

40.

Shaqira has 18 candy bars and 12 cookies. She wants to use all the candy bars and cookies to make identical snack bags for her cousins.


What is the greatest number of snack bags that Shaqira can make?

a)

4

b)

2

c)

6

d)

1

41.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

42.
What is the area of the shape?
a)
35 units squared
b)
24 units squared
c)
not enough information
d)
22 units squared
43.
What is the area of the figure? 
a)
12 square units
b)
24 square units
c)
18 square units
d)
36 square units
44.
Jim plotted points A and B on the coordinate grid. He wants to add a point C to create a right triangle. Which of the following coordinates would not create a triangular ?
a)
(5,8)
b)
(6,8)
c)
(3,2)
d)
(3,7)
45.
What is the area of the rectangle?
a)
12 units2
b)
10 units2
c)
5 units2
d)
6 units2
46.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

6 units

d)

8 units

47.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
48.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
49.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
50.
What is the distance between points  (10, 7) and  (2, 7) on a coordinate plane?
a)
2
b)
9
c)
10
d)
8
51.
Jim plotted points A and B on the coordinate grid. He wants to add a point C to create a right triangle. Which of the following coordinates would not create a triangular ?
a)
(5,8)
b)
(6,8)
c)
(3,2)
d)
(3,7)
52.
Jim plotted points A and B on the coordinate grid. He wants to add a point C to create a right triangle. Which of the following coordinates would not create a triangular ?
a)
(5,8)
b)
(6,8)
c)
(3,2)
d)
(3,7)
53.

You design a tree house using a coordinate plane. You plot the vertices of the floor at J (2, 1), K (2, 8), L(9, 8), and M (9, 1). The coordinates are measured in feet. What is the area of the tree house?

a)

28 feet2

b)

49 feet2

c)

56 feet2

d)

64 feet2

54.

If a square has a perimeter of 20 units. How long is each side length?

a)

4 units

b)

5 units

c)

10 units

d)

2 units

55.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
56.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
57.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

58.

What is the distance between the following ordered pairs: (5, 6) and (5, 8)

a)

3 units

b)

4 units

c)

5 units

d)

2 units

59.

Find the distance between the following ordered pairs: (0, 6) and (0, -4)

a)

6 units

b)

4 units

c)

10 units

d)

11 units

60.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
61.
What is the distance between points (-7, 8) and (2, 8)?
a)
4 units
b)
5 units
c)
3 units
d)
9 units
62.
What is the distance between points  (5, 5) and  (1, 5) on a coordinate plane?
a)
-4
b)
4
c)
10
d)
-10
63.

Find the distance between (0, 6) and (0, -4)

a)

2

b)

-2

c)

0

d)

10

64.
The four regions on the coordinate plane are called_________________
a)
origins
b)
ordered pairs
c)
quadrants
d)
coordinates
65.
The vertical number line is called the _______.
a)
x-axis
b)
y-axis
c)
ordered pair
d)
quadrant
66.
An _________ is the set of numbers used to locate a point on the coordinate plane.
a)
quadrant
b)
ordered pair
c)
origin
d)
y-axis
67.
What are the coordinates of Point C?
a)
(-4, -2)
b)
(-2,-4)
c)
(2, -4)
d)
(-2, 4)
68.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
69.
What is (0,0) called?
a)
The center
b)
The X axis
c)
The Origin
d)
The Y axis
70.
What is (0,0) called?
a)
The center
b)
The X axis
c)
The Origin
d)
The Y axis
71.
What Quadrant is (-1,-3)?
a)
I
b)
II
c)
III
d)
IV
72.
What does this show?
a)
reflection over the y-axis
b)
reflection over the y-coordinate
c)
reflection over the x-axis 
d)
reflection over the x-coordinate
73.
This pictures shows what?
a)
reflection over the x-axis
b)
reflection over the x-coordinate
c)
reflection over the y-coordinate
d)
reflection over the y-axis
74.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
75.
Which is a factor of 15?
a)
2
b)
3
c)
4
d)
6
76.
Which of the choices is not a factor of 24?
a)
2
b)
3
c)
4
d)
5
77.
Find the Greatest  Common Factor (GCF) of 14 & 22.
a)
1
b)
2
c)
7
d)
14
78.
Find the GCF of 45 and 60
a)
5
b)
15
c)
10
d)
9
79.

There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If each team must

have the same number of girls and the same number of boys. What is the greatest number of teams that can participate in intramurals?

a)

6

b)

4

c)

8

d)

2

80.
There are 48 girls and 64 boys. 
The choir teacher plans to arrange the students in equal rows.
Only girls or boys will be in each row (no mixing of girls and boys in the same row). What is the greatest number of students that could be in each row?
a)
8
b)
6
c)
16
d)
12
81.
Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?
a)
2
b)
4
c)
6
d)
8
82.
What is the least common multiple (LCM) of 4 and 9?
a)
12
b)
36
c)
27
d)
9
83.
Which of the numbers below are multiples of 3? 
a)
7
b)
8
c)
16
d)
24
84.
What is the least common multiple (LCM) of 3 and 8? 
a)
24
b)
16
c)
12
85.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
86.
Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin’s track?
a)
10 inches
b)
20 inches
c)
30 inches
d)
40 inches
87.
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?
a)
16th customer
b)
150th customer
c)
300th customer
d)
180th customer
88.
Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?
a)
7
b)
8
c)
9
d)
10
89.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
90.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
91.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
92.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
93.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
94.

Evaluate when x = 2 and y = 5:

2 + (12 - 5x) ⋅ 2y

a)

22

b)

40

c)

142

d)

-86

95.
a2 - b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
96.
Evaluate if a = 2 and b = 8
6 + 7b - 3a
a)
-100
b)
100
c)
-56
d)
56
97.
c2 + a; for a = 9 and c = 10
a)
109
b)
29
98.
The expression 7h + 1.50d can be used to find the total earnings after h hours and d deliveries have been made.  How much will Sally make after working 10 hours and making 3 deliveries?
a)
$74.50
b)
$36
99.
You order CDs for $14.25 each and the website charges $4.50 for each shipment. The expression $14.25p + $4.50 represents the cost of p CDs.  Find the total cost for ordering 4 CDs.
a)
$61.50
b)
$22.75
100.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
101.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
102.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
103.
Evaluate 4y  if       y = 3
a)
7
b)
12
104.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
105.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
106.
Evaluate the expression using the values
 m = 7, r = 8, and t = 2.
4m + t
a)
30
b)
28
c)
26
d)
14
107.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t
a)
8
b)
6
c)
4
d)
7
108.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t
a)
21
b)
11
c)
10
d)
22
109.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
110.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
111.

In which quadrant is the following point?

(-3, -12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

112.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
113.
Which axis runs vertically?
a)
x
b)
Y
114.
Which axis runs horizontally?
a)
x
b)
y
115.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
116.
The axes divide the coordinate plane into four sections called what? 
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
117.

Name the quadrant where POINT C is located.

a)

Quadrant I

b)

Quadrant IV

c)

Quadrant III

d)

Quadrant II

118.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
119.
What are the coordinates of Point C?
a)
(-4, -2)
b)
(-2,-4)
120.
Name the quadrant where POINT B is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
121.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
122.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
123.
Name the quadrant where POINT A is located. 
a)
Quadrant I
b)
Quadrant IV
c)
No Quadrant
d)
Quadrant II

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