Evaluating Algebraic Evaluating Algebraic Expressions, given valuesExpressions, given values

WP: Evaluate Algebraic WP: Evaluate Algebraic ExpressionsExpressions

FIRST – replace the variables FIRST – replace the variables with the known (given) value.with the known (given) value.

THEN – follow the Order of THEN – follow the Order of Operations.Operations.

To EVALUATE means to FIND THE To EVALUATE means to FIND THE VALUE OF THE EXPRESSION VALUE OF THE EXPRESSION when the value of the variables are when the value of the variables are known.known.

1) Evaluate1) Evaluate for j = 8 and k = 12 for j = 8 and k = 12

First – replace First – replace the variables the variables with the given with the given values.values.

Use the Order Use the Order of Operations to of Operations to find your find your answer.answer.

REDUCEREDUCE

jk

j k

8(12)

8 1296

20

24

5

2) Evaluate2) Evaluate for x =4, y = 4, z = 2 for x =4, y = 4, z = 2 2

yz

x

First – replace First – replace the variables the variables with the given with the given values.values.

Use the Order Use the Order of Operations to of Operations to find your find your answer.answer.

42

2(4)

42

8

12

2

11

2

3

2

3) Evaluate3) Evaluate for x = 3, y = 2 ½ , z = ½ for x = 3, y = 2 ½ , z = ½

( )w x y z

First – replace First – replace the variables the variables with the given with the given values.values.

Use the Order Use the Order of Operations to of Operations to find your find your answer.answer.

1 13(2 )

2 2w

3(3)w

9w

Word Problems:Word Problems:4. The cost of a school banquet is 4. The cost of a school banquet is

$75 + 12$75 + 12nn, where , where nn is the is the number of people attending. number of people attending. What is the cost for 83 people?What is the cost for 83 people?

$75 12n$75 12(83)

$75 996$1071

5. An employee who receives a weekly 5. An employee who receives a weekly salary of $200 and an 8% commission is salary of $200 and an 8% commission is paid according to the formula paid according to the formula p = 0.08p = 0.08ss + 200, where + 200, where pp represents the represents the total amount earned weekly and total amount earned weekly and ss is the is the total weekly sales. Find the earnings for total weekly sales. Find the earnings for a week with $3818 total sales.a week with $3818 total sales.

0.08 $200p s 0.08($3818) $200p

$305.44 $200p $505.44p

6. 6. Imagine that you owned a T-shirt business. The Imagine that you owned a T-shirt business. The cost of making the designs and buying the T-shirts cost of making the designs and buying the T-shirts is $325. In addition to these one time charges, the is $325. In addition to these one time charges, the cost of printing each shirt is $1.75. The average cost cost of printing each shirt is $1.75. The average cost per T-shirt for the business to manufacture per T-shirt for the business to manufacture xx T- T-shirts is given by the following formula. Find the shirts is given by the following formula. Find the average cost per T-shirt when average cost per T-shirt when xx is 100. is 100.

1.75 325xA

x

1.75(100) 325

100A

175 325

100A

500

100 5 $5.00