Free Printable Unit 2 Test Review - Algebraic Expressions

1.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

2.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

3.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

4.

5 times a number, minus 8

a)

5m - 8

b)

5(m + 8)

c)

8m + 5

d)

8(m + 5)

5.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

a)

True

b)

False

6.

The product of 6 and y..

a)

6 + y

b)

6y

c)

y - 6

d)

y / 6

7.

5 less than r

a)

5 - r

b)

r - 5

c)

5r

d)

r + 5

8.

r less than 5

a)

r - 5

b)

5 - r

c)

r + 5

d)

5 + r

9.

Which algebraic expression best represents the following verbal expression?

two more than three times a number

a)

3n - 2

b)

3n + 2

c)

3 + 2n

d)

3 - 2n

10.

Which algebraic expression best represents the following verbal expression?

half a number x plus 4

a)

2x + 4

b)

x + 4(½)

c)

½x + 4

d)

x + ½ + 4

11.

Which algebraic expression best represents the following verbal expression?

four less than the product of b and three

a)

4 - 3b

b)

4 - (3 + b)

c)

(4 + b) - 4

d)

3b - 4

12.

5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

13.

6(x - 2)

a)

6x - 2

b)

6x - 12

c)

4x

d)

6x - 2

14.

6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

14x + 3

d)

9 + 7x

15.

6w - 6w + 6w + 9w

a)

w

b)

15w

c)

9w

d)

6w

16.

4a + 9 + a

a)

5a + 9

b)

14a

c)

3a + 9

d)

5a - 9

17.

9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

18.

5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

19.

7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

20.

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

21.

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

22.

7d + 5 + 6d - 2

a)

16d

b)

16

c)

13d + 3

d)

13d - 7

23.

5a + 2b + 6a + 4b

a)

11a + 6b

b)

2a + 2b

c)

a + 2b

d)

-a - 2b

24.

15x-2x+12

a)

-13x+12

b)

12x+13x

c)

13-12+x

d)

13x+12

25.

4(x + 2) + 6x

a)

4x + 2 + 6x

b)

4x + 8 + 6x

c)

10x + 8

d)

10x + 2

26.

8x - 2(x + 3)

a)

6x - 6

b)

6x - 5

c)

6x + 6

d)

6x + 3

27.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

28.

6x + 3(-2 - x) - 4

a)

9x - 10

b)

3x + 2

c)

3x - 10

d)

9x + 10

29.

3(2x+1)+2(x-4)

a)

8x-3

b)

8x+11

c)

4x-5

d)

8x-5

30.

Simplify: x¹⁰⋅x⁴

a)

x⁴⁰

b)

x¹⁴

c)

x⁶

d)

2x¹⁴

31.

Simplify: $\frac{x^8}{x^2}$

a)

x¹⁶

b)

x⁴

c)

x⁵

d)

x⁶

32.

Simplify to an equivalent expression BUT leave in exponent form.
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

33.

Using exponents, simplify the following expression:

(2⁸)²

a)

$2^{16}$

b)

$2^{10}$

c)

$2^6$

d)

$2^4$

34.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

35.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

36.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

37.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example:

\frac{h^8}{h^3}

a)

add

b)

subtract

c)

multiply

d)

divide

38.

Simplify using your exponent rule(s) (-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

39.

Simplify using your exponent rule(s) x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

40.

$\left(-56\right)^0$

a)

1

b)

0

c)

-56

d)

-1

41.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

42.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

43.

Which expression is equivalent to the given?

a)

b)

c)

d)

44.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

45.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

46.

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

a)

f¹⁶

b)

f⁴

c)

1/f⁴

d)

1/f¹⁶

47.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

48.

(2 x 10^-5)+ (7 x 10^-5)

a)

9 x 10^-10

b)

14 x 10^-5

c)

9 x 10^-5

d)

1.4 x 10^-4

49.

(8 x 10⁴) + (4 x 10⁴)

a)

12 x 10⁴

b)

1.2 x 10⁵

c)

1.2 x 10⁹

d)

1.2 x 10⁸

50.

(8 x 10⁴) - (2 x 10⁴)

a)

16 x 10¹⁶

b)

16 x 10⁸

c)

6 x 10⁸

d)

6 x 10⁴

51.

(5 x 10⁶) - (3 x 10⁶)

a)

2 x 10¹²

b)

2 x 10⁶

c)

2 x 1036

d)

2 x 10⁰

52.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

53.

(5 x 10⁶)(5 x 10⁷)

a)

2.5 x 10¹²

b)

2.5 x 10¹⁴

c)

25 x 10¹²

d)

25 x 10¹³

54.

5 x 10¹²
------------
2 x 10⁶

a)

2.5 x 10²

b)

2.5 x 10⁶

c)

3 x 10²

d)

2.5 x 10¹⁸

55.

(2.8 * 10⁸) (2.2*10³)

a)

6.16 * 10²⁴

b)

5.0 * 10¹¹

c)

6.16 * 10¹¹

d)

61.6 * 10¹¹

56.

Write the answer in scientific notation.
(5 x 10⁸) - (3.4 x 10⁸) =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

57.

Write the answer in scientific notation.
(7.3 x 10⁵) + (3.7 x 10⁵) =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

58.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

59.

Find the difference
(3.8 x 10⁴) - (2 x 10³)

a)

1.8 x 10⁴

b)

1.8 x 10¹

c)

3.6 x 10¹

d)

3.6 x 10⁴

60.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10³

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10¹

61.

UNDERSTANDING:
The first number in scientific notation must be...

a)

between and including 0 and 10

b)

between and including 1 and 9.9999

c)

between and including 0 and 9.999

d)

between and including 1 and 10

62.

Which answer shows 35,067,800 written in scientific notation?

a)

$3.50678\cdot10^{-7}$

b)

$3.50678\cdot10^7$

c)

$3.50678\cdot10^8$

d)

$35067.8\cdot10^2$

63.

Which answer shows 0.00897 written in scientific notation?

a)

$0.897\cdot10^{-2}$

b)

$8.97\cdot10^{-3}$

c)

$8.97\cdot10^{-2}$

d)

$8.97\cdot10^3$

64.

$\frac{6.28\cdot10^{12}}{3.14\cdot10^4}$

When evaluating, what will be the exponent of 10 in the quotient?

a)

3

b)

4

c)

8

d)

16

65.

In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. What was the average debt per person?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

66.

On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 x 10⁹ km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

67.

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

68.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

69.

A factory can make 3 × 10⁴ t-shirts per day, how many t-shirts will it make in 250 days?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

70.

A computer's hard disk drive holds 8 x 10⁷bytes of information. If Jill buys an extra memory stick that holds 3 x 10⁶ bytes of information, how much memory will the computer hold?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

71.

In 2012, New York City (NYC) and Los Angeles (LA) had the highest populations of any cities in the United States. NYC’s population was about 8.1 × 10⁶ and LA’s population was about 3.8 × 10⁶. What is the population of these two cities combined?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

72.

The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

73.

$5x^2+2x+9+2x^2+3+4x$

a)

$7x^2+6x+12$

b)

$7x^2+12x+6$

c)

$3x^2+8x+2$

d)

$x^2+9x+3$

74.

$3z+5z+z+z+z^2+8$

a)

$z^2+10z+8$

b)

$11z^2+8$

c)

$z^2+8z+10$

d)

$3z^2+10z+8$

75.

$-5f^3+3f-9f^2+5f^3-f^2$

a)

$-10f^2+3f$

b)

$-10f^3-10f^2+3f$

c)

$10f^3-10f^2+3f$

d)

$-5f^3+10f^2+5f$

76.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

77.

Simplify the following expression:
(5 + 7p²) - (2p⁴ - 3)

a)

2 + 7p² + 2p⁴

b)

2p⁴ + 7p² + 13

c)

-2p⁴ - 7p² + 2

d)

-2p⁴ + 7p² + 8

78.

Rewrite the expression by combining like terms.
3xy + 8x² + 4y + 2y – 5x²

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x²+ 6y + y

79.

Rewrite the expression by combining like terms.
2x² + 10x + 5x² + 25x

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6xy + y

80.

Rewrite the expression by combining like terms.
8xy + 7x² + 6y – 4x² - 5xy

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

Unit 2 Test Review - Algebraic Expressions

Total questions: 80

Worksheet time: 4hrs 0mins

Similar Resources on Wayground