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Topics 1-4 Benchmark

Total questions: 75

Worksheet time: 5hrs 46mins

Name
Class
Date
1.
55.78 + 4.6 =
a)
60.28
b)
55.32
c)
56.44
d)
60.38
2.
7.9 - 3.47 =
a)
11.37
b)
4.43
c)
3.32
d)
4.37
3.
A weatherman was measuring the amount of rain two cities received over a week. City A received 3.74 inches while City B received 9.8 inches. How much rain did they get total?
a)
13.54 inches
b)
6.06 inches
c)
7 days
d)
13.54 rains
4.
Ms. Hvozdik ran 12.3 mile on Saturday.  Ms. Chaney ran 4.9 miles.  How much farther did Mrs. Hvozdik run than Ms. Chaney? 
a)

7.4 miles

b)

17.2 miles

c)

8.6 miles

d)

8 miles

5.
7.13 x 5.5 
a)
39.215
b)
3.9215
c)
392.15
d)
3921.5
6.

42.10 divided by .02

a)

21.05

b)

2105

c)

.2105

d)

210.5

7.
Mrs. Rice bought 27 books for the class.  What was the cost for one book if she spent a total of $67.50?
a)
$2.13
b)
$0.21
c)
$0.25
d)
$2.50
8.

13 × 35 =\frac{1}{3\ }\times\ \frac{3}{5\ }=  

a)

15\frac{1}{5}  

b)

315\frac{3}{15}  

c)

16\frac{1}{6}  

9.


4 × 234\ \times\ \frac{2}{3}  

a)

63\frac{6}{3}  

b)

83\frac{8}{3}  

c)

23\frac{2}{3}  

d)

123\frac{12}{3}  

10.

43÷57\frac{4}{3}\div\frac{5}{7}  

a)

9541\frac{95}{41}  

b)

6241\frac{62}{41}  

c)

6214\frac{62}{14}  

d)

2815\frac{28}{15}  

11.

223÷12\frac{22}{3}\div\frac{1}{2}  

a)

2345\frac{23}{45}  

b)

59621\frac{596}{21}  

c)

443\frac{44}{3}  

d)

5841\frac{58}{41}  

12.
What is the recriprocal of 4/5
a)
4/5
b)
5/4
c)
5/1
d)
1/5
13.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
14.
What letter is at the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
15.
The __ - axis is the horizontal axis of the coordinate plane.  
a)
X
b)
Y
c)
Z
d)
None of the above
16.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

17.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
18.
The y-axis is _______?
a)
Vertical
b)
Horizontal
c)
criss-cross
d)
diagonal
19.
The x-axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
20.

The post office is located at the point:

a)

(1,2)

b)

(2,4)

c)

(2,1)

d)

(3,2)

21.

What is the absolute value of 29?

a)

29

b)

-29

22.

What is the absolute value of -13?

a)

-13

b)

13

23.

|-7|

a)

-7

b)

7

24.

What is absolute value?

a)

the distance that a number is from zero.

b)

the distance that a number is from itself.

c)

the distance a number is from its opposite.

25.

What is the opposite of -81?

a)

81

b)

-81

26.

-(14)

a)

14

b)

-14

27.

-(-6)

a)

6

b)

-6

28.

Which of the following are TRUE? *Select all that apply.

a)

Opposite integers are the same distance from zero.

b)

Opposite integers are always positive.

c)

Absolute value is always positive.

d)

Opposite integers are on opposite sides of zero.

29.

Which number is the Base?  242^4  

a)

2

b)

4

c)

They both are the base.

d)

None of them is the base.

30.

Which number is the exponent? 636^3  

a)

6

b)

3

c)

They both are the exponent

d)

None of them are the exponent

31.
What is 3 to the power of 0?
a)
0
b)
3
c)
1
d)
30
32.

What is the greatest common factor of 60 and 75

a)

2

b)

5

c)

15

d)

25

33.

A prime number has how many factors?

a)

3 or more

b)

2 or more

c)

Exactly 2

d)

maybe more than 5

34.

A composite number has

a)

two or more factors

b)

one factor

c)

exactly 2 factors

d)

As many as you want

35.

What is the Least Common Multiple for 10 and 25?

a)

30

b)

40

c)

50

d)

100

36.

Write the prime factorization of 28.

a)

4 * 7

b)

2 * 14

c)

22 * 7

d)

32 * 4

37.
18 + (6 – 2) × 2 =
a)
26
b)
29
c)
44
d)
40
38.
32+42-(4x2)
a)
14
b)
9
c)
9
d)
17
39.

15÷3×2+9÷315\div3\times2+9\div3  

a)

5.5

b)

13

c)

3

40.

John and Katie go to the snack machine. They each get a soda for $1 and a candy for $2. How much money do they spend altogether? Which numerical expression represents the problem.

a)

1 x 2 + 2

b)

(1+2) x 2

c)

(1x2) + 2

d)

(1+2) + 2

41.

4 less than x

a)

4 - x

b)

x - 4

42.

m less than 3.1

a)

3.1 - m

b)

m3.1\frac{m}{3.1}

c)

m - 3.1

43.

y more than 20

a)

20 + y

b)

20y

44.

Choose the algebraic expression that matches the verbal phrase. Choose all that apply.

a)
b)
c)
d)
45.

Choose the algebraic expression that matches the verbal phrase.

a)
b)
c)
d)
46.

Evaluate each expression if x = 14 and y = 6


(x + y) ÷ 2 = _______

a)

10

b)

20

c)

22

d)

40

47.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
48.
solve using distributive property5 ( 2w + 5 )=
a)
7w +10
b)
10w +5
c)
10w + 10
d)
10w + 25
49.
( 4 - 3W)2=
a)
8-6W
b)
8 +6W
c)
2-1W
d)
2+5W
50.

Name the terms: 3x + 4 - 4x + 3z

a)

3x, 4, -4x, 3z

b)

4

c)

3x, -4x

d)

3z

51.

name the like terms: 3x +2z + 10x -4y

a)

3x, 10x

b)

3x, 2z, 10x, -4y

c)

2z, -4y

d)

there is no like terms

52.

What is the coefficient in this expression: 10W-5z-4

a)

10, -5, -4

b)

10

c)

10, -5

d)

10, 5, -4

53.

simplify the expression: 4R-2R +3W-9

a)

6R+3W-9

b)

2R-3W

c)

6R-9

d)

2R +3W-9

54.
3(x + 5)
a)
2x + 2
b)
4x + 8
c)
3x + 15
d)
3x + 5
55.

Simplify the expression completely.

3z+9+5z−43z+9+5z-4  

a)

8z+58z+5  

b)

8z+138z+13  

c)

13z13z  

d)

21z21z  

56.

Simplify the expression completely.

5(n+3)+4n5\left(n+3\right)+4n  

a)

9n+159n+15  

b)

9n+39n+3  

c)

24n24n  

d)

25n+1525n+15  

57.

Which expressions are equivalent to

16x+2416x+24  ?

Mark ALL that apply.

a)

2(8x+12)2\left(8x+12\right)  

b)

4(4x+6)4\left(4x+6\right)  

c)

6(3x+4)6\left(3x+4\right)  

d)

(2x+3)8\left(2x+3\right)8  

58.

Simplify: 7y2 −5y + 9y − 5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

59.
What is the solution of the equation? 
8 = x + 1
a)
9
b)
7
c)
6
d)
8
60.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
61.
Solve the equation:
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
62.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
63.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
64.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
65.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
66.
5 less than a number is 15.
a)
x - 5 = 15
b)
5 - x = 15
c)
15 - x = 5
67.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

68.

Find the value of the variable: k - 2.14 = 85

a)

82.86

b)

2.99

c)

87.14

69.

Find the value of the variable:  8 =k2.5Find\ the\ value\ of\ the\ variable:\ \ 8\ =\frac{k}{2.5}  

a)

5

b)

10

c)

20

70.
What is the solution of the equation? 
1/3a = 7/9
a)
2  1/3
b)
1  2/7
c)
7/27
d)
1/3
71.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

72.
Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.
a)
18c=6
b)
c + 6= 18
c)
c +18 = 6
d)
3c=18
73.

Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces. Which equation should I use to solve this problem?

a)

x +10 = 24

b)

x - 10 = 24

c)

10x = 24

d)

x + 24 = 10

74.
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
75.

Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.

a)

m - 25.32 = 15

b)

m/25.32 = 15

c)

m - 15 = 25.32

d)

15m = 25.32