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Translating One-Step Inequalities

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Translate the following algebraic inequality.

A number is at least seventeen.

a)

x 17x\ \ge17

b)

x  17x\ \le\ 17

c)

x > 17x\ >\ 17

d)

x <17x\ <17

2.

Translate the following algebraic inequality.

The difference of a number and five is less than twenty.

a)
x + 5 < 20
b)
x - 5 < 20
c)
x - 5 > 20
d)
x + 5 > 20
3.

Translate the following algebraic inequality.

Nine less than a number is at most negative eight.

a)

9  x 89\ -\ x\ \le-8

b)

x 9 8x-\ 9\ \le-8

c)

9  x 89\ -\ x\ \ge-8

d)

x9 8x-9\ \ge-8

4.

Translate the following algebraic inequality.

Twice a number is greater than 6.

a)

2x > 6

b)

2 + x < 6

c)

2x < 6

d)

2 + x > 6

5.

Translate the following algebraic inequality.

The quotient of a number and four is no more than twenty-four.

a)

x 424x\ -4\le24

b)

x424\frac{x}{4}\le24

c)

x 4 24x\ -4\ \ge24

d)

x424\frac{x}{4}\ge24

6.

Which inequality matches the problem?

Maria is playing a game where you score 5 points each time you guess the correct answer. To win the game, Maria must score greater than 80 points. How many correct answers does Maria need to win the game.

a)

5x < 80

b)

5x > 80

c)

5 + x < 80

d)

5 + x > 80

7.

Which answer choice matches the correct inequality solution and graph for the problem below?

a)

b)

c)

d)

8.

Which answer choice matches the correct inequality solution and graph for the problem below?

a)

A.

b)

B.

c)

C.

d)

D.

9.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x  ≤ 12
10.

You can have at most 12 items in the self checkout.

a)

c > 12

b)

c < 12

c)

c ≥ 12

d)

c ≤ 12