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Worksheets

one step equations/ inequalities

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
a)

x+86x+8\ge6

b)

x+8<6x+8<6

c)

x+8>6x+8>6

d)

x+68x+6\le8

2.
a)

x92\frac{x}{9}\ge2

b)

x9>2\frac{x}{9}>2

c)

x2<9\frac{x}{2}<9

d)

x29\frac{x}{2}\le9

3.
a)

5x305x\ge30

b)

5x>305x>30

c)

5x305x\le30

d)

5x<305x<30

4.
a)

x55x-5\ge5

b)

x5<5x-5<5

c)

x55x-5\le5

d)

x5>5x-5>5

5.
a)

3+x>13+x>1

b)

3+x<13+x<1

c)

3+x13+x\ge1

d)

3+x13+x\le1

6.
a)

2x>242x>24

b)

2x<242x<24

c)

2x242x\ge24

d)

2x242x\le24

7.
a)

x5<4\frac{x}{5}<4

b)

x54\frac{x}{5}\ge4

c)

x5>4\frac{x}{5}>4

d)

x54\frac{x}{5}\le4

8.
a)

x28x-2\le8

b)

x2>8x-2>8

c)

x28x-2\ge8

d)

x2<8x-2<8

9.

James and Simon have a reading assignment to complete. James has read r pages, and Simon has read 75 pages. Together they have read a total of 200 pages.

a)

75=200+r75=200+r

b)

r+75=200r+75=200

c)

200=75r200=75-r

10.

Brandon and Jerry like to play video games. Brandon has v video games, and Jerry has 29 video games. Together they have a total of 73 video games. Write an equation to describe this situation.

a)

v+73=29v+73=29

b)

v73=29v-73=29

c)

73+v=2973+v=29

d)

v+29=73v+29=73

11.

Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. Select the equation that matches this situation.

a)

w=5×15w=5\times15

b)

w=15+5w=15+5

c)

5=15×w5=15\times w

d)

5×w=155\times w=15

12.

Jeremy and Robin like to collect nickels. Jeremy has n nickels, and Robin has 55 nickels. Together they have a total of 100 nickels. Write an equation to describe this situation.

a)

55n=10055-n=100

b)

55+n=10055+n=100

c)

55=100n55=100-n

d)

55+100=n55+100=n

e)

55=100+n55=100+n

13.

 Which statement is modeled by 2p+5<112p+5<11 ?

a)

The sum of 5 and 2 times p is at least 11

b)

Five added to the product of 2 and p is less than 11

c)

Two times p plus 5 is at most 11

d)

The product of 2 and p added to 5 is 11

14.

Which is NOT a solution of the inequality 52x35-2x\ge-3  

a)

0

b)

2

c)

4

d)

5

15.

 x+312x+3\le12  Which statement can be modeled by

a)

Sam has 3 bottles of water. Together, Sam and Dave have at most 12 bottles of water.

b)

Jennie sold 3 cookbooks. To earn a prize, Jennie must sell at least 12 cookbooks.

c)

Peter has 2 baseball hats. Peter and his brothers have fewer than 12 baseball hats.

d)

Kathy swam 3 laps in the pool this week. She must swim more than 12 laps.

16.

The sum of 5 and x is 20. What is x?

a)

5

b)

20

c)

15

d)

25

e)

10

17.

The product of x and three is -27. What is x?

a)

3

b)

-27

c)

9

d)

-9

e)

27

18.

Steve went to the store and bought five sweatshirts. He spent $45. What was the price of each shirt?

a)

$5

b)

$45

c)

$8

d)

$9

e)

$10

19.

 12x=4\frac{1}{2}x=4  

a)

8

b)

2

c)

4

d)

 12\frac{1}{2}  

e)

 24\frac{2}{4}  

20.

At a rate of $15 per month, how long does saving $135 take? solve an equation.

a)

nine months

b)

fifteen months

c)

thirteen months

d)

three months

21.

Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 dollar sign, 42, point, 50 total, they can buy p boxes of pizza. Each box of pizza costs $8.50 dollar sign, 8, point, 50. Select the equation that matches this situation.

a)

p=8.5×42.5p=8.5\times42.5

b)

42.58.5=p\frac{42.5}{8.5}=p

c)

42.5p=8.542.5p=8.5

d)

42.5=8.5p42.5=\frac{8.5}{p}

22.

Sharon read a 300 -page book. She read at a rate of 15 pages per day in d days.

Write an equation to describe this situation.

a)

300=15d300=15d

b)

30015=d300-15=d

c)

300d=15300d=15

d)

15300=d\frac{15}{300}=d

23.

Kendle wants to play several games of laser tag. She has $35 to play g games. Each game of laser tag costs $5.

a)

535=g\frac{5}{35}=g

b)

g=5×35g=5\times35

c)

355=g\frac{35}{5}=g

d)

35g=535g=5

24.

Melissa and Rachel like to make funny hats. Melissa has made 20 zebra-printed hats, and Rachel has made h striped hats. Together they have made a total of 42 hats.

a)

42+h=2042+h=20

b)

20+h=4220+h=42

c)

h20=42h-20=42

d)

42=20h42=20-h

25.

Kim and Stacy like to make necklaces. Kim has made 25 necklaces, and Stacy has made t necklaces. They have made a total of 57 necklaces all together. Write an equation to describe this situation.

a)

5725=t57-25=t

b)

t25=57t-25=57

c)

57+t=2557+t=25

d)

57+25=t57+25=t