Algebraic Expressions

Algebraic

Expressions

and Formulas

®

Simplif~ing an Rlgebraic Expression Often, an algebraic expression can be simplified by combining like terms. Like terms have the same variable and exponent. For example, 5x and'3x are like terms; 3x2 and 2x2 are like terms. Num'bers standing alone, such as 3 and 6 are also like terms. To simplify an expression, add or subtract like terms.

+,~

Write a simplified algebraic expression for the perimeter of each

triangle. (Remember:Perimeter is the distance around a figure.) 1. p=

t

2. p=

\ ~

~

3. p=

S ~+ ~

C;

S+

Write a simplified algebraic expression for the perimeter of each rectangle. (Remember: Perimeter of a rectangle is 2 lengths plus

2:'i:th:'),o~+8

5. p=

'1 "~ft,

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One-Step

Equations

®

Write an equation for each drawing. Solve your equation. (Note: More than one equation is possible, but only one solution is correct.) 40.

,.

x

7

+

I·

-,

17

Equation:

)<-t

x=

41.

-I

•••

I, I·

13 21

f'+

Equation:

I~

n

+

n=

-I -I

\3~). I

~~~

43.

42.

~

I·

I·

-I

45

(O~ lf~

Equation:

y=

T

Equation: r=

§

~

Write a Ion for the perimeter of each triangle and solve for the missing side. (Remember: P = 51 + 52 + 53). Problem 44 is started for you.

~

~

12

IV-

Equation: X

x=

+ 7+ x+

12= 28 19=28

~

Write an equation for the area of each rectangle and solve for the missing side. (Remember: A = lw) Problem 46 is started for you. 46.

wi

A

=

47.

64

16 Equation: 16$

w=

= oS

\U -=-

••

t.I

51

-I

,. '-\ r ..". ",.-~

.