Variable Expressions 8 (multi-step)

To solve multi-step problems,

begin with the variable (the unknown number)

and work step by step.

 

8 less than triple the sum

of half a number and 7

Multi-step Example:

 

How could you represent (show) "a number"

that you don't know?

+

÷

 h

77

h can represent "a number".

 

What is half "a number" (half of h)

2h

h/3

h2

 h/2

h/2 is half a number.  What is the sum

of half a number and 7?

h/7 +2

h/2 +7

h/2-7

h/2 + 7/2

The sum of half a number and 7

is h/2 + 7.  Show triple the sum of half

a number and 7.

 3(h/2 + 7)

3h/2 +7

h/2 + 3(7)

h/2 +7+7+7

Triple the sum of half a number

and 7 is 3(h/2 +7).

What is 8 less than triple the sum of

half a number and 7

8-3(h/2+7)

8 ÷3(h/2+7)

3(h/2+7)-8

3(h/2+7)÷8

What is 5 less than double

the difference of 7 and twice a number?

 

Start with twice a number:

m2

2m

m/2

3m

Twice a number is 2m.

 

What is the difference of 7 and twice anumber ?

 

7/2m

2m-7

2m/7

 7-2m

The difference of 7 and twice a number

is 7-2m.

 

Double the difference of 7 and twice a number.

2(7-2m)

3(7-2m)

2(7)-2m

7-2(2m)

Double the difference of 7 and twice a number

is 2(7-2m).

 

What is 5 less than double the difference of 7

and twice a number

 

5-2(7-2m)

5×2(7-2m)

5÷2(7-2m)

 2(7-2m)-5
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