Free Printable A1H Review Unit 9

1.

Solve the inequality: $6x-\left(2x-3\right)\le7+2x$

a)

$x\ge2$

b)

$x\le2$

c)

$x\le-1$

d)

$x\ge-1$

2.

Solve the inequality: $2\left(x-8\right)+7<-5\left(x+2\right)-3x-19$

a)

$x<-2$

b)

$x>-2$

c)

$x<2$

d)

$x\le-2$

3.

Solve the inequality: $18-7\left(3+k\right)>-3k-3$

a)

$k<0$

b)

$k>0$

c)

$k\le0$

d)

$k\ge0$

4.

Solve the inequality:

2x + 5 > 2x + 8

a)

x > 3

b)

x > –3

c)

Infinite Solutions

d)

No Solution

5.

Solve the inequality:

3(n + 1) ≤ 3n + 4

a)

n ≤ 1

b)

n ≤ –1

c)

Infinite Solutions

d)

No Solution

6.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

7.

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

a)

30 + s ≥ 45

b)

30 - s ≥ 45

c)

30 + s ≤ 45

d)

30 - s ≤ 45

8.

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

a)

x/5.50 ≥ 5225

b)

5.50x ≥ 5225

c)

x + 5.50 ≤ 5225

d)

x - 5.50 ≤ 5225

9.

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

a)

x < −2 or x > 5

b)

x < 2 or x > 5

c)

x < −2 and x > 5

d)

x < 2 and x > 5

10.

-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

11.

−6 < 2t − 5 < 3

a)

−0.5 < t < 4

b)

0.5 < t < −1

c)

−11/2 < t < 4

d)

11/2 < t < −2

12.

$-11<-2x-7\le-7$

a)

$-2\le x\le4$

b)

$All\ Solutions$

c)

$0\le x<2$

d)

$-4\le x\le10$

13.

Which graph represents

-5\ ≤\ x\ ≤\ 5

?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

Every day, a man needs to eat more than 1800 but less than 1900 calories. Write an inequality representing the possible amount of calories you could get.

a)

1800 ≤ c ≤ 1900

b)

1800 ≤ c < 1900

c)

1800 < c ≤ 1900

d)

1800 < c < 1900

18.

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. Which inequality could be used to determine when Store B will cost less than Store A?

a)

10 + 0.25x > 16 + 0.15x

b)

10x + 0.25 > 16x + 0.15

c)

10 + 0.25x < 16 + 0.15x

d)

10x + 0.25 < 16x + 0.15

19.

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. Which inequality below could be used to determine after how many months James will weigh less than Joey?

a)

$220+2x\ge176+4x$

b)

220 + 2x > 176 + 4x

c)

$220+2x\le176+4x$

d)

220 + 2x < 176 + 4x

20.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

21.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

22.

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. When will Store B cost less than Store A?

a)

x > 1.2

b)

x < 60

c)

x > 60

d)

x < 1.2

23.

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. After how many months will James weigh less than Joey?

a)

x < 22

b)

x > 22

c)

$x\le22$

d)

$x\ge22$

24.

Gary scored 82, 94, & 87 on 3 math tests. What is the minimum he needs to score on the 4th math test to have an average of 90 or better on all four tests?

(a)

25.

Goofy scored 72, 84, 80, & 77 on 4 math tests. What is the minimum he needs to score on the 5th math test to have an average of 75 or better on all five tests?

(a)

26.

The sum of 4 consecutive integers is no more than 78. What is the largest that the 4th integer can be?

(a)

27.

The sum of 3 consecutive odd integers is no less than 126. What is the smallest that the 2nd integer can be?

(a)

28.

Solve the inequality:

$\frac{2x-1}{4}-\frac{x+6}{3}\ge\frac{3x+2}{6}$

a)

$x\le-\frac{31}{4}$

b)

$x\ge-\frac{31}{4}$

c)

$x\ge\frac{23}{4}$

d)

$x\le\frac{23}{4}$

29.

Solve the inequality:

$\frac{3x+4}{3}+\frac{x+3}{5}<\frac{2x-3}{3}$

30.

Solve the inequality:

$\frac{2x-3}{4}-\frac{x+6}{3}>\frac{x-4}{2}$

31.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

32.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

33.

Solve:
|x + 4| - 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < -14

c)

all real numbers

d)

no solution

34.

Solve.
-5|x - 4| > -20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

35.

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

36.

What is the solution to the following inequality?

a)

b)

no solution

c)

all real numbers

d)

$\left(-\infty,\ \infty\right)$

37.

| -8x | < 8

What is the correct first step?

a)

separate into two inequalities with an "and"

b)

separate into two inequalities with an "or"

c)

divide both sides by -8

d)

add 8 to both sides

38.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

39.

a)

no solution

b)

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

c)

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

d)

all real numbers

40.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

41.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

42.

Solve for r.

a)

r ≥ -38 and r ≤ 32

b)

r > -38 and r < 32

c)

r ≥ -38 or r ≤ 32

d)

r > -38 or r < 32

43.

| x - 2 | > 3
Is this an "and" or an "or" problem?

a)

and

b)

or

44.

What is the solution to the following inequality?

a)

$x\le-2\ and\ x\le4$

b)

$x\le-2\ and\ x\ge4$

c)

infinite solutions

45.

Solve the compound inequality.

$3x-1<2x+4<5x-1$

(a)

46.

Solve the compound inequality.

$6x+1<x-4\le3x+3$

Put your answer in interval notation.

(a)

A1H Review Unit 9

Total questions: 46

Worksheet time: 2hrs 26mins

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