Free Printable 2.1: Writing Equations and Inequalities

1.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

4m + 8

b)

8m - 4

c)

8m + 4

d)

4m - 8

2.

Translate this phrase into an algebraic expression.

2 times the difference of a number and 11

Use the variable t to represent the unknown number.

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

3.

twice the sum of a number and 3 is 15

a)

2x+3=15

b)

2+3x=15

c)

2(x+3)=15

d)

3(x+2)

4.

2 less than four times a number is that number

a)

2x-4=x

b)

2-4x=x

c)

2x-4=2

d)

4x-2=x

5.

5 more than half of a number is at least 12.

a)

$2x+5=12$

b)

$\frac{1}{2}x+5\ge12$

c)

$\frac{1}{2}x+5\le12$

d)

$\frac{x}{2}>12-5$

6.

2 less than the product of 4 and a number is at most 6

a)

$4n-2<6$

b)

$4n-2\le6$

c)

$2-4n\ge6$

d)

$4n-2>6$

7.

Write as an equation: the product of 8 and a number c is 72

a)

72c = 8

b)

8c = 72

c)

c - 8 = 72

d)

8 + c = 72

8.

Less Than

a)

>

b)

>

c)

<

d)

<

9.

Greater Than

a)

>

b)

>

c)

<

d)

<

10.

Write an inequality to represent the following relationship:
Three times a number minus two is less than the number plus ten.

a)

3x - 2 < x + 10

b)

2 - 3x < x + 10

c)

3x - 2 > x + 10

d)

2 - 3x > x + 10

11.

Write an equation models the following statement:
17 less than h equals 42

a)

17-h=42

b)

h-17=42

c)

h+17=42

d)

17+h=42

12.

The sum of x and ten is twenty.

a)

x - 10 = 20

b)

x + 10 = 20

c)

x + 10 = 25

d)

10x = 20

13.

Two less than a number is fourteen.

a)

x - 2 = 14

b)

2 - x = 14

c)

x - 2 = 15

d)

2 - x = 13

14.

5 more than a number is sixty

a)

x + 5 = 50

b)

x + 5 = 60

c)

5 + x = 60

d)

5 + x = 50

15.

A number minus 10 is fourteen.

a)

10 - x = 14

b)

x - 10 = 14

c)

x - 10 = 15

d)

10 - x = 15

16.

Write the word sentence as an equation.

14 is 7 times a number c

a)

7 + c = 14

b)

$\frac{14}{c}=7$

c)

14 = 7c

d)

7 - c = 14

17.

Write the word sentence as an inequality.

A number n is no more than 100

a)

$n\le100$

b)

$n<100$

c)

$n\ge100$

d)

$n>100$

18.

Write the word sentence as an inequality.

The difference of a number p and 2 is at least 5

a)

2-p\ge5

b)

$p-2\ge5$

c)

$2-p\le5$

d)

$p-2\le5$

19.

Write the word sentence as an inequality

A number b divided by 3 is less than 3.

a)

$3b<3$

b)

$3b\le3$

c)

$\frac{3}{b}<3$

d)

$\frac{b}{3}<3$

20.

Two less than 4 times a number is -18.

Let x be the missing number.

a)

4x - 2 = -18

b)

2x + 4 = -18

c)

2 - 4x =-18

d)

2 < 4x - 18

2.1: Writing Equations and Inequalities

Total questions: 20

Worksheet time: 26mins

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