Easy Algebra Step-by-Step

70 Easy Algebra Step-by-Step

Problem Find C when F = 212 using the formula C

5

9

()FF− 32.

Solution

Step 1. Substitute 212 for F in the formula C

5

9

()FF− 32.

C

5

9

()FF− 32

C=

5

9

() 212 − 32

Step 2. Simplify.

C=

5

9

() 212 − 32

C=

5

9

() 180

C= 100

Step 3. State the main result.

C = 100 when F = 212.

Dealing with Parentheses

Frequently, algebraic expressions are enclosed in parentheses. It is impor-

tant that you deal with parentheses correctly.

If no symbol or if a (+) symbol immediately precedes parentheses that

enclose an algebraic expression, remove the parentheses and rewrite the

algebraic expression without changing any signs.

Problem Simplify ⎛−+−

⎝

⎛⎛⎛⎛

⎝⎝

⎛⎛⎛⎛ ⎞

⎠

⎞⎞⎞

⎠⎠

8 5 ⎞⎞⎞⎞

2

xy^3227

x

.

Solution

Step 1. Remove the parentheses without changing any signs.

⎛−+−

⎝

⎛⎛⎛

⎝⎝

⎛⎛⎛⎛ ⎞

⎠

⎞⎞⎞⎞

⎠⎠

8 5 ⎞⎞⎞⎞=− +−

2

27 8

5

2

xy^323227

x

xy

x

P