Free Printable Exponents, Equations, and Inequalities review

1.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

2.

Six more than some number equals 52

a)

6 + x = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

3.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

4.

4x+9=-2x-15

a)

x=-4

b)

x=-24

c)

x=-6

d)

x=1

5.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

6.

w increased by 5

a)

w - 5

b)

5w

c)

w + 5

d)

w / 5

7.

Solve
-9h > (-63)

a)

h < 7

b)

h > 7

c)

h < -7

d)

h > -7

8.

4x-3=17

a)

x=5

b)

x=20

c)

x=21

d)

x=4

9.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 - y + 5

10.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

11.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

12.

$3x-8<4$

a)

$x<4$

b)

$x>4$

c)

$x<-4$

d)

$x>-4$

13.

2x-1=3x+8

a)

x=7

b)

x=-9

c)

x=5

d)

x=3

14.

Five less than twice a number is equivalent to thirty.

a)

5x - 2 = 30

b)

x - 5 = 30

c)

2x - 5 = 30

d)

5 - 2x = 30

15.

$-4x-3<-19$

a)

$x<4$

b)

$x>-4$

c)

$x>4$

d)

$x<-4$

16.

Translate the statement into an equation:
The sum of three times a number and ten is equal to eight times the number.

a)

3 + 10 = 8

b)

3x + 10 = 8

c)

3x + 10 = 8x

d)

3(x + 10) = 8x

17.

4a-2=3a-7

a)

a=-9

b)

a=-2

c)

a=7

d)

a=-5

18.

Eight less than three times a number is equivalent to thirty four.

a)

3x - 8 = 34

b)

8x - 3 = 34

c)

8 - 3x = 34

d)

8 - x = 34

19.

$2\left(x-4\right)\le-4$

a)

$x\ge2$

b)

$x\le-2$

c)

$x\ge-2$

d)

$x\le2$

20.

2x+3=x-7

a)

x=5

b)

x=-4

c)

x=1

d)

x=-10

21.

the quotient of a number and 4

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

22.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

23.

5x+1=2x-5

a)

x=-2

b)

x=-6

c)

x=3

d)

x=.5

24.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

25.

$-2\left(x+7\right)\le-8$

a)

$x\le3$

b)

$x\ge3$

c)

$x\ge-3$

d)

$x\le-3$

26.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

27.

6x+3=2x-9

a)

x=-3

b)

-12

c)

x=-4

d)

x=6

28.

a number increased by eighteen

a)

18n

b)

n+18

c)

18-n

d)

18/n

29.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

30.

-2x-7+3x=10

a)

x=-2

b)

x=3

c)

x=10

d)

x=17

31.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

32.

1x-6=2x+3

a)

x=-9

b)

x=3

c)

x=9

d)

x=2

33.

Two more than 4 times a number is -18.

a)

4x + 2 = -18

b)

2x + 4 = -18

c)

18 = 4x +2

34.

2x+1=23

a)

x=11

b)

x=22

c)

x=2

d)

x=24

35.

Sixteen more than five times a number is fifty six.

a)

5x + 56 = 16

b)

16x + 5 = 56

c)

5x + 16 = 56

d)

5x - 16 = 56

36.

$8+9x\le4\left(3x-4\right)$

a)

$x\ge-8$

b)

$x\le8$

c)

$x\le-8$

d)

$x\ge8$

37.

x-3=10

a)

x=7

b)

x=10.3

c)

x=5

d)

x=13

38.

the difference if 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

39.

^simplify 5x³2x²

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

40.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

41.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

42.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

43.

Simplify: $\left(2m\right)^5$

a)

$10m^5$

b)

$32m^5$

c)

$25m^5$

d)

$\frac{1}{2m^5}$

44.

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

45.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

46.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

47.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

48.

In 2³what is the base?

a)

2

b)

3

c)

2³

49.

What is the coefficient of x?
5x - y

a)

8

b)

1

c)

5

d)

-5

50.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

51.

If x = 2, what is y?
y = 5x + 4

a)

0

b)

4

c)

14

d)

11

52.

4x + 2(x - 6) = 12

a)

x = 6

b)

x = 4

c)

x = 2

d)

x = -2

53.

Solve the following inequality:
-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 17

d)

x ≤ 17

54.

a)

14 > v

b)

14< v

c)

v > 20

d)

v < 20

55.

a)

2

b)

1

c)

28

d)

4

56.

Solve the equation:
3x + 2 = 20

a)

x = 2

b)

x = 7

c)

x = 9

d)

x = 6

57.

Choose the equivalent expression.

15 + 4(5y + 10)

a)

5y + 25

b)

20y - 25

c)

20y + 40

d)

20y + 55

58.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

10x = 18

b)

4x + 6 = 18

c)

4 + 6x = 18

d)

not enough info

59.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

a)

n - 7 > 18

b)

7 - n ≥ 18

c)

n - 7 ≥ 18

d)

n + 7 ≥ 18

60.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

Exponents, Equations, and Inequalities review

Total questions: 60

Worksheet time: 3hrs 4mins

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