Free Printable Study for Mrs. Clinard

1.

Would you use a closed or open circle to graph x < 3?

a)

Closed

b)

Open

2.

What are two numbers that could be x in x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

3.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

4.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

5.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

6.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

7.

a − 6 ≤ 15 + 8a

a)

a ≤ -3

b)

a ≥ -3

c)

a ≤ 3

d)

a ≥ 3

8.

a − 6 ≤ 15 + 8a

a)

a ≤ -3

b)

a ≥ -3

c)

a ≤ 3

d)

a ≥ 3

9.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

10.

Solve and graph the inequality.

a)

A

b)

B

c)

C

d)

D

11.

-2 (x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

12.

When graphing b ≤ 6 would you use an open or closed circle?

a)

Open

b)

closed

13.

Solve

a)

x > 2

b)

x > 5

c)

x >15

d)

x > 50

14.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

15.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

16.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

17.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

18.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

19.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

20.

Solve:

a)

152

b)

176

c)

5

d)

27

21.

Solve:

a)

20

b)

7

c)

10

d)

3

22.

14+3x=26

a)

x=6

b)

x=1

c)

x=4

d)

x=3

23.

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

24.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

25.

| x - 6 | < 4
Is this an "and" or an "or" problem?

a)

and

b)

or

26.

Solve the following inequality:

|3x + 6| ≥ 15

a)

x ≥ 3 or x ≤ −3

b)

x ≤ 7 and x ≤ −3

c)

x ≥ 7 and x ≤ −7

d)

x ≤ −7 or x ≥ 3

27.

Solve the following inequality:

|10 + 4x| < 14

a)

x < 1 and x > −6

b)

x < 1 or x > −6

c)

x < 6 and x > −6

d)

x < 1 or x > −1

28.

Solve the following inequality:

−5|x − 4| > −20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

29.

Solve the following inequality:

| 2w − 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

−5 < w < 6

d)

−6 < w < 5

30.

Solve:
|x + 4| - 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < -14

c)

all real numbers

d)

no solution

31.

Solve.
|5x + 7| < 22

a)

x < -5 ⅘ or x > 3

b)

-5 ⅘ < x < 3

c)

-3 < x < 5 ⅘

d)

x < -3 or x > 5 ⅘

32.

Solve.
|4k + 12| ≥ 6

a)

v ≤ -4.5 or v ≥ -1.5

b)

-4.5 ≤ v ≤ -1.4

c)

-1.5 ≤ v ≤ 4.5

d)

v ≤ -1.5 or v ≥ 4.5

33.

Solve.
|p + 3| ≥ 10

a)

-13 ≤ p ≤ 7

b)

p ≤ -13 or p ≥ 7

c)

-7 ≤ p ≤ 13

d)

p ≤ -7 or p ≥ 13

34.

Solve.
|y - 4| ≥ 8

a)

y ≤ -4 or y ≥ 12

b)

-4 ≤ y ≤ -12

c)

y ≤ 4 or y ≥ -12

d)

-12 ≤ x ≤ 4

35.

Solve.
|c + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

36.

Solve the equation:

$\left|2a-10\right|=6$

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

37.

Solve the equation:

$\left|-2n\right|+10=-50$

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

38.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

39.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

40.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

41.

Solve:
287 ≤ 7(1 + 5p)

a)

p ≤ 8

b)

p ≥ 8

c)

p ≤ 56

d)

p ≥ 56

42.

0 < x + 7 < 9

a)

-7< x <2

b)

-7< x or x<2

c)

2 < x < -7

d)

-7>x or x>2

43.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

44.

Solve and graph. -3 < 3x < 6

a)

b)

c)

d)

45.

Solve and graph 3d - 4 < -7 OR 5d + 2 >12

a)

b)

c)

d)

46.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

47.

Solve and give the final solution set:

5x + 1 < 21 OR 3x + 2 > -1

a)

All real numbers

b)

-1 < x < 4

c)

No solution

d)

x > 4 or x < -1

48.

Which of the following would result in NO SOLUTION?

a)

x < 1 or x > 5

b)

x > 1 or x < 5

c)

x < 1 and x > 5

d)

x > 1 and x < 5

49.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

50.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

51.

What inequality is graphed?

a)

2 < x ≤ -3

b)

2 < x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

52.

-8<2(x+4) or -3x+4>x-4

a)

No solutions

b)

x<-8 or x<2

c)

x>-8 or x<2

d)

x<-8 and x<2

53.

Which compound inequality is graphed above?

a)

-2 < x ≤ 2

b)

-2 > x ≤ 2

c)

-2 < x < 2

d)

-2 ≥ x < 2

54.

Which compound inequality is graphed above?

a)

x < 3 and x ≥ 6

b)

x > x and x < 6

c)

x ≥ 3 and x ≤ 6

d)

x < 3 and x ≤ 6

55.

Pick the correct letter for: x < 6 or x < 5

a)

A

b)

B

c)

C

d)

D

56.

Which of the following would result in INFINITELY MANY SOLUTIONS?

a)

x < 1 or x > 5

b)

x > 1 or x < 5

c)

x < 1 and x > 5

d)

x > 1 and x < 5

57.

Which of the following would result in NO SOLUTION?

a)

x < 1 or x > 5

b)

x > 1 or x < 5

c)

x < 1 and x > 5

d)

x > 1 and x < 5

58.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

59.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

60.

Andrea earns $60 per day plus $4 for every sale she makes. On Wednesday, she wants to earn at least $128. Which best describes the number of sales she needs to make to reach her goal?

a)

at most 47 sales

b)

at most 17 sales

c)

at least 47 sales

d)

at least 17 sales

61.

James had a collection of baseball cards. He bought twelve more cards. A week later, a third of his entire collection was destroyed in a flood. There are now only 15 cards left. How many baseball cards were in his original collection? Which equation would be used to solve this situation?

a)

$\frac{1}{3}x-12=15$

b)

$3x-12=15$

c)

$\frac{x}{3}+12=15$

d)

$\frac{x\ +\ 12}{3}=15$

62.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

63.

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?

a)

5.1 + 2.5y ≥ 60

b)

60 < 5.1 + 2.5

c)

5.1 + 2.5y ≤ 60

d)

5.1 + 2.5y > 60

64.

Mr. John's age is six years less than four times Jamie's age. When Mr. John is 54 years old, what is Jamie's age?

a)

12 years old

b)

15 years old

c)

20 years old

d)

24 years old

65.

A cable company charges $60 per month plus $5.55 per movie rental. Ms. Cowart's December cable bill was $98.85. Which of the following equations represents this scenario?

a)

60x + 5.55 = 98.85

b)

60 - 5.55x = 98.85

c)

60 + 5.55x = 98.85

d)

5.55x = 158.85

66.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

67.

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

a)

200+25w ≥ 500

b)

500-25w ≥ 200

c)

500+25w ≤ 200

d)

200-25w ≤ 500

e)

25w +200 ≥ 500

68.

6 - 2h > 30

(a)

69.

At Least

a)

<

b)

>

c)

≤

d)

≥

70.

No More Than

a)

<

b)

>

c)

≤

d)

≥

71.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

72.

more than

a)

<

b)

>

c)

≤

d)

≥

73.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

74.

3g >12

a)

g>36

b)

g<36

c)

g>4

d)

g<4

75.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

76.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

a)

C = 5h + 3

b)

C = 3h + 5

c)

H = 5c + 3

d)

H = 3c + 5

Study for Mrs. Clinard

Total questions: 76

Worksheet time: 8hrs 7mins

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