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Topic 3 Test Review and Solo

Total questions: 55

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
2.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
3.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
d)
not here
4.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
5.

In the expression 34, which number would be multiplied repeatedly?

a)

3

b)

4

6.

Check all that are equivalent to 16

a)

42

b)

2 • 2 • 2 • 2

c)

28

d)

24

e)

8 • 8

7.

Scott sends an email to 3 people and each of those people will send the email to 3 more people, and so on. Which expression shows the number of people that will receive the email after the fourth round?

a)

535^3

b)

343^4

c)

434^3

d)

10110^1

8.

What is the standard form of 104?

a)

10

b)

40

c)

1,000

d)

10,000

9.
a)

2.0736

b)

1.736

c)

2.0368

d)

1.2563

10.
a)

100000000

b)

100

c)

111000

d)

100000

11.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
12.

The prime factors of 70 are?

a)

3 x 5 x 7

b)

5 x 7 x 7

c)

2 x 5 x 7

13.

Find the prime factorization of 56.

a)

2x2x2x7

b)

2x28

c)

3x3x7

14.

What is the greatest common factor of 15 and 36?

a)

6

b)

8

c)

4

d)

3

15.

Bill cut out 6 squares and 8 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

a)

2

b)

3

c)

4

16.
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?
a)
84 minutes
b)
48 minutes
c)
854 minutes
d)
78 minutes
17.

(213) ÷6 + 92\left(21-3\right)\ \div6\ +\ 9^2  

a)

80

b)

81

c)

83

d)

84

18.

8 + 14(24 ÷3) 78\ +\ \frac{1}{4}\left(24\ \div3\right)\ -\ 7
Is this a numerical expression?

a)

no

b)

yes

19.

0.22÷7.9  (4.1 + 1.8)0.2^2\div\lceil7.9\ -\ \left(4.1\ +\ 1.8\right)\rceil  

a)

0.02

b)

0.24

c)

0.04

d)

5.9

20.

(4.7 + 9.3) x (12)2\left(4.7\ +\ 9.3\right)\ x\ \left(\frac{1}{2}\right)^2  

a)

12

b)

16\frac{1}{6}  

c)

3 1/2

d)

112\frac{1}{12}  

21.

12.3 + (62  11.8) 112.3\ +\ \left(6^{2\ }-\ 11.8\right)\ -1  

a)

36.5

b)

37.5

c)

35

d)

35.5

22.

Target value: 45
19 + 15÷12  +519\ +\ 1^5\div\frac{1}{2\ }\ +5  

a)

19 + (15 ÷ 12) + 519\ +\ \left(1^5\ \div\ \frac{1}{2}\right)\ +\ 5  

b)

19 + 15 ÷(12 +5)19\ +\ 1^5\ \div\left(\frac{1}{2}\ +5\right)  

c)

(19 + 15) ÷12 +5\left(19\ +\ 1^5\right)\ \div\frac{1}{2}\ +5  

23.

What is a variable?

a)

a term that includes a variable

b)

a letter that stands for an unknown number

c)

a term that is a known number without variables

24.

What does the letter x stand for?

a)

a letter

b)

an unknown number

25.

Which operation is represented by 2x?

a)

addition

b)

subtraction

c)

multiplication

d)

division

26.

What do you call the result of multiplication?

a)

sum

b)

difference

c)

product

d)

quotient

27.

How many terms are in 10-4x?

a)

1

b)

2

c)

3

d)

4

28.

What is the coefficient in the expression 10-4x?

(a)  

29.

What is the constant in the expression 10-4x?

(a)  

30.

Martina is 3 inches less than twice as tall as her little brother. Write an expression for Martina's height.

a)

3x-28

b)

3-2x

c)

2x-3

d)

3x-2

31.

Write an expression to represent "the sum of 3 and the quotient of a number divided by 6."

a)

3÷63\div6

b)

(3+x)÷6\left(3+x\right)\div6

c)

3÷x +63\div x\ +6

d)

3+(x÷6)3+\left(x\div6\right)

32.

Martina is 3 inches less than twice as tall as her little brother. How tall is Martina if her little brother is 28 inches tall?

(a)  

33.

5 times d and then increased by 8

a)

5d + 8

b)

5 + 8d

c)

5 + 8 + d

d)

5d-8

34.

The sum of n and 6

a)

n/6

b)

n X 6

c)

n + 6

d)

n - 6

35.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
36.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
37.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
38.
Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y
a)
22
b)
40
c)
142
d)
-86
39.

Evaluate the expression for the given values. 5x - 3y + 2z

x=3 y=2 z=4

a)

17

b)

19

c)

13

d)

29

40.

Use the Distributive Property to write an equivalent expression:

2(4x+3)2\left(4x+3\right)  

a)

8x + 3

b)

6x + 3

c)

8x + 6

d)

6x + 6

41.

Which expression is equivalent to:

2x+62x+6  

a)

2(x+3)2\left(x+3\right)

b)

x+1+x+2x+1+x+2  

42.

Which expression is equivalent to:

2(x+2)2\left(x+2\right)  

a)

2x + 2

b)

2x + 4

43.

Choose all expressions that are equal to:



5(2x+3)5\left(2x+3\right)  

a)

10x+1510x+15  

b)

5x+15+5x5x+15+5x  

c)

10x+810x+8  

44.

Choose all expressions that are equal to:



4x84x-8  

a)

2(2x6)2\left(2x-6\right)  

b)

2(2x4)2\left(2x-4\right)  

c)

x8+3xx-8+3x  

45.

Choose all expressions that are equal to:



12x1612x-16  

a)

9x16+3x9x-16+3x  

b)

3(3x5)3\left(3x-5\right)  

c)

4(3x4)4\left(3x-4\right)  

46.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

47.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

48.
Simplify the expression
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
49.

Which of the following expressions is equivalent to:

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

50.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

51.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

52.

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

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

53.

Like terms has the same __________, with the same exponent. Constants can also be combined with each other.

a)

constant

b)

coefficient

c)

variable

54.

Simplify: 8x2 + 5x + 2y + x

a)

14x + 2y

b)

13x2+ 2y + x

c)

8x2 + 6x + 2y

d)

8x2 + 7xy + x

55.

Combine like terms and simplify.

a)

10x + 1/2 + y

b)

10x + y - 3

c)

5x + y + 6

d)

12xy