Writing and Evaluating Expression

Marissa is building a rectangular garden behind her house. She wants to use the house as one side of the garden for shade, and the length of the house should by 3 times the width of the garden. Write an algebraic expressions that will model the amount of fencing Marissa will require.

* Question -Expression for amount of fencing * Clues -The house is 3 times width of garden * Strategy -w=width of house -3w= length of house - w+3w+w=5w * Check

Murilo bought 8 pizzas for his baseball team to share equally after the game. Each pizza has 6 slices, and the expression representing the situation is . Which of the following evaluations of the expression are correct? Check all that apply. 1)If p = 10, then each player will get 4 slices of pizza, with 2 slices left over. 2)If p = 12, then each player will get 4 slices of pizza, with no slices left over. 3)If p = 15, then each player will get 3 slices of pizza, with no slices left over. 4)If p = 15, then each player will get 3 slices of pizza, with 3 slices left over. 5)If p = 16, then each player will get 3 slices of pizza, with no slices left over.

2,4,5

Larry's pet store made $30 before a pipe burst and he had to close early to get it fixed. He realized that he lost of a dollar each hour that the store was closed. If the expression that models this situation is 30 , what is Larry's profit if the store was closed for 8 hours? $___________

24

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following expression shows the amount of money that will be in the account x weeks after Mason opens it. 165.85 + 20.5x How much money will be in the account after 10 weeks? After 10 weeks, there will be $ _______in the account.

370.85

Steps to translate and evaluate real-world situations: 1:Write an expression that models the situation using variable for unknown numbers. 2. Evaluate the expression by substitution and by using the order of operations.

Evaluate the expression when x=4: ⅚x-⅓ ⅚⑷-⅓ 20/6-⅓ 20/6-2/6=18/6=3

Gaira was asked to evaluate the algebraic expression -3.8x + 6 when x = -7.5. -3.8(-7.5) + 6(-7.5) 28.5 + (-45) (-16.5) What mistake did she make? What is the correct answer?

Gaira made a mistake when substituting the value -7.5 in for x. She multiplied both terms of the expression by -7.5 when she should have only multiplied -3.8 by -7.5. The correct answer is 34.5.

Murilo bought 8 pizzas for his baseball team to share equally after the game. If each pizza has 6 slices, how many slices of pizza will each player receive?

P= #of players 8(6)/P=48/P=48/11=4r4

Examine this algebraic expression: 3x/4 − 2y + 3/7 What are the variables? a) x b) y c) x and y d) ¾ and 3/7 What are the coefficients? a) -2 and ¾ b) ¾ and 2 c) ¾ and 3/7 d) 3x/4 and -2y What is the constant? a) ¾ b) 3/7 c) 2 d) 3

What are the variables? c) x and y What are the coefficients? a) -2 and ¾ What is the constant? b) 3/7

Daniel's tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64. What expression would model the amount of money each player would receive if the money is divided equally? a)(582.85)+64(p) b)(582.85)-64(p) c)(582.85)+64/p d)(582.85)-64/p How much would each player receive if there are 8 players on the tennis team? a)$64.85 b)$72.86 c)$4,150.80 d)$5,1784.80

What expression would model the amount of money each player would receive if the money is divided equally? d)(582.85)-64/p How much would each player receive if there are 8 players on the tennis team? a)$64.85

Two friends operate a trucking company that delivers goods across three states. They lose $24.50 each time a customer chooses to make a delivery with a competitor. Which expression shows the amount that the trucking company makes if p people use a competitor for delivery, and the company makes $3,125 before competition is considered? a)24.5p-3,125 b)24.5p+3,125 c)3,125+24.5p d)3,125-24.5p If 6 customers decide to make a delivery with a competitor, how much money will the two friends make? a)$2,450 b)$2,978 c)$3,272

Which expression shows the amount that the trucking company makes if p people use a competitor for delivery, and the company makes $3,125 before competition is considered? d)3,125-24.5p If 6 customers decide to make a delivery with a competitor, how much money will the two friends make? b)$2,978

Marissa is building a rectangular garden behind her house. The expression she found for the amount of fencing needed for the garden is 5w. If she has already has 52 feet for fencing, what is the largest width she can have for her garden? 52-5w

Width → Fencing 6 → 52-5⑹=52-30=22' 7 → 52-5⑺=52-35=17' 8 → 52-5⑻=52-40=12' 9 → 52-5⑼=52-45=7' 10 → 52-5⑽=52-50=2' 11 → 52-5⑾=52-55=-3'

Daniel has 15 yards of fabric to make baby blankets. It takes 1 and 1/2 yards of fabric to make each blanket, and the expression that models the situation is . Which of the following are possible numbers of blankets that Daniel could make? Select all that apply. a)9 b)10 c)11 d)12 e)15

a,b

Evaluate the expression shown for x = 12. -⅚x+7 a)-15⅚ b)-3 c)9 ⅔ d) 18 ⅙

b)-3

Evaluate the expression shown for x = 9. -⅚x+7 a)-13 ⅓ b)-½ c) 7 ⅓ d) 9 ⅔

b)-½

Myra is evaluating the expression -31.7 + 4.5x, when x = 2.1. -31.7 + 4.5(2.1) -27.2(2.1) -57.12 What was Myra's error? a)Myra should have multiplied -31.7 and 2.1 first. b)Myra should have multiplied 4.5 and 2.1 first. c)Myra should have subtracted -27.2 and 2.1 first. d)Myra should have added -31.7 and 2.1 first.

b)Myra should have multiplied 4.5 and 2.1 first.

Lisa makes $23.50 an hour at her job, and every week she pays $25 to her health insurance. How much money did Lisa make if she worked 35.8 hours last week? a)$587.50 b)$841.30 c)$816.30 d)$895.00

c)$816.30

Milena is trying to determine an algebraic expression to represent the amount of punch she needs to make for her party. She does not know the exact number of guests, but she wants to have 3 cups of punch per guest, plus an additional 20 cups of punch. Which expression represents the amount of punch Milena will need for her party? a)g + 20 b)3g c)3g + 20 d)3(20)

c)3g + 20

The city is building a parking lot for a new office building. The expression to represent the number of parking spots in the new parking lot is , where x represents the number of parking spots in the first row. Use the order of operations to find out how many parking spots are in the parking lot if there are 30 parking spots in the first row. a)9 b)24 c)69 d)144

c)69

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. Write an expression that shows the amount of money that will be in the account x weeks after Mason opens it. a)165.85x + 20.5 b)165.85 - 20.5x c)165.85 + 20.5 + x d)165.85 + 20.5x

d)165.85 + 20.5x

The city is building a parking lot for a new office building. The parking lot should have 4 rows for cars, but due to the shape of the lot, each row will have a different number of parking spots. The second row will have half as many parking spots as the first row. The third row will have two fewer spots than second row, and the fourth row will have 4 fewer parking spots than the second row. What expression represents the total number of parking spots in the new parking lot?

x=1st row x/2=2nd row x/2-2=3rd row x/2-4=4th row x+(x/2)+(x/2-2)+(x/2-4) 2x/2+x/2+x/2+x/2-2-4=5x/2-6 5(10)/2-6 50/2-6 25-6=19

A truck driver covers 63.5 miles per hour for x number of hours. Along the way, the driver accidently took the wrong turn and lost 33.5 miles. If the driver spent 6 hours on the road, how far did she travel in the correct direction?

Ⅰ. Write an expression that represents the situation. -73.5x-33.5 Ⅱ. Evaluate the expression using order of operations 63.5(6)-33.5 381-33.5=347.5