Free Printable Benchmark 2 Review

1.

Simplify the expression. Write your answer as a power.

h^9\cdot h

a)

$h^8$

b)

$h^9$

c)

$h^{11}$

d)

$h^{10}$

2.

Simplify the expression. Write your answer as a power.

c^5\cdot c^5

a)

$c^{25}$

b)

$c^{10}$

c)

$c^{55}$

d)

$c^{15}$

3.

Simplify the expression. Write your answer as a power.

\left(-3\right)^2\cdot\left(-3\right)^7

a)

$\left(-3\right)^9$

b)

$\left(-3\right)^{21}$

c)

$\left(-3\right)^{14}$

d)

$-3^{14}$

4.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

5.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

6.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

7.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

8.

Simplify using the quotient property: $\frac{x^2y^8}{xy}$

a)

$xy^7$

b)

$xy$

c)

$x^3y^9$

d)

$x^3y^7$

9.

Simplify using to power to a power property (x³)⁴

a)

x¹²

b)

x^-1

c)

x⁷

d)

x⁰

10.

Simplify using to power to a power property

(2²)³

a)

2⁵

b)

2^-1

c)

2⁶

d)

2⁰

11.

Simplify using to power to a power property

(y⁵)²

a)

y³

b)

y¹⁰

c)

y⁷

d)

y⁰

12.

Simplify:
(5ab²)²

a)

25a²b⁴

b)

10a²b⁴

c)

5a²b⁴

d)

25ab²

13.

Simplify:
(7y⁴)²

a)

7y⁶

b)

14y⁸

c)

14y⁶

d)

49y⁸

14.

Write this expression using positive exponent:

x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

15.

Simplify (evaluate):

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

16.

Simplify (evaluate):

2^-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

17.

Rewrite each expression with a negative exponent.
¹/_12⁴

a)

¹/_12^-4

b)

12⁴

c)

¹/_20,736

d)

12^-4

18.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

19.

Simplify x²y^-5

a)

1/x²y⁵

b)

x²/y⁵

c)

y⁵/x²

d)

x²/y^-5

20.

Simplify. Your answer should contain only positive exponents.

$\frac{4y}{3x^{-2}}$

a)

$\frac{4y}{3}$

b)

$\frac{4x^2y}{3}$

c)

$\frac{3x^2}{4y}$

d)

$\frac{4y^2}{3x}$

21.

Simplify. Your answer should contain only positive exponents.

2x⁰y³

a)

2y²

b)

2xy

c)

2y³

d)

1

22.

Simplify. Your answer should contain only positive exponents.

$\frac{4x^2y^4}{6xy}$

a)

$\frac{2xy^3}{3}$

b)

$\frac{3}{2}x^3y^5$

c)

$\frac{3xy}{2}$

23.

Simplify. Your answer should contain only positive exponents.

6^-4

a)

$6^4$

b)

$\frac{1}{6^{4\ }}$

c)

$\frac{1}{6}$

d)

$6^2$

24.

Simplify. Your answer should contain only positive exponents.

$\frac{4y}{3x^{-2}}$

a)

$\frac{4y}{3}$

b)

$\frac{4x^2y}{3}$

c)

$\frac{3x^2}{4y}$

d)

$\frac{4y^2}{3x}$

25.

Simplify. Your answer should contain only positive exponents.

$4x^{-2}y$

a)

$\frac{4y}{x^2}$

b)

$\frac{1x^2}{4y}$

c)

$\frac{4}{x^2y}$

d)

$\frac{1y}{4x^2}$

26.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

27.

4( x + 2) = 16

What is the solution to the equation?

a)

-2

b)

0

c)

1

d)

2

28.

9x - 4x - 5 = 10

a)

3

b)

-3

c)

1

d)

3.5

29.

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

What is the solution to the equation?

a)

4

b)

3

c)

2

d)

1

30.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

31.

Solve the equation

4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

32.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

33.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

34.

Solve:

\frac{1}{2}\left(4y−8\right)=\frac{2}{5}\left(5y−10\right)

a)

$y=0$

b)

$y=-3$

c)

infinitely many solutions

d)

no solutions

35.

Solve:
$-\left(8x-4\right)-\left(6x-2\right)=6-4x+5x$

a)

infinitely many solutions

b)

no solution

c)

$x=0$

d)

$x=-2$

36.

a)

Infinitely Many Solutions

b)

No Solution

c)

x = -1

d)

x = 1

37.

Find the solution to the equation:
^{6n + 5(2n - 6) = 6n - 30}

a)

n = 0

b)

n = 8

c)

Infinitely Many Solutions

d)

No Solutions

38.

Solve the equation.

a)

A (No Solution)

b)

B (Infinitely Many Solutions)

c)

C (x = 2)

d)

D (x = -9)

39.

Solve the equation:
4 - 6x - 2= -2(3x-1)

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

40.

How many solutions does this equation have?

a)

One Solution, $x=4$

b)

No Solutions

c)

Infinitely Many Solutions (all real numbers)

d)

One Solution, $x=\frac{1}{2}$

41.

Find the distance.

a)

7.1

b)

7.8

c)

(6, 4.5)

d)

(2.5, 8)

42.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

43.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

44.

Find the missing length of a right triangle where b = 5, c = 13 and a is unknown.

a)

10

b)

12

45.

The foot of a ladder is placed 15 feet from the wall. If the top of the ladder rests 20 feet up on the wall, how long is the ladder?

a)

25

b)

13.2

46.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

47.

What is the perimeter of a right triangle if the hypotenuse is 15 centimeters and one of the legs is 9 centimeters?

a)

36

b)

39

48.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

49.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

50.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

51.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

52.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

53.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

54.

$4\left(y+4\right)\le16$

a)

$y\le0$

b)

No Solution

c)

$y\le2$

55.

5z - 2z - 2 < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

56.

5z - 2z - 2 < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

Benchmark 2 Review

Total questions: 56

Worksheet time: 4hrs 57mins

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