Question

Question 1 (Multiple Choice Worth 4 points)
(07.01)

Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?

{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
Question 2(Multiple Choice Worth 5 points)
(07.04)

Fraction 3 over 4x = Fraction 1 over 5. x = ___?

3Fraction 3 over 4
Fraction 11 over 20
Fraction 4 over 15
Fraction 3 over 20
Question 3(Multiple Choice Worth 5 points)
(07.03)

Jen bought a cinnamon bun for $3.42 and a giant candy cane for $5.76. She then used the rest of her money to buy a notebook. She spent a total of $12.83. How much money did Jen spend on the notebook?

$9.41
$7.07
$3.65
$2.34
Question 4(Multiple Choice Worth 4 points)
(07.03)

Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game. Bobbi earned 6 points and Kate earned 3 points. Which of the following equations can be used to determine how many points Rebecca earned?

6 + 3 + n = 12
3x + 6 = 12
6 + 3 = 12 + n
6x + 3 = 12
Question 5 (Essay Worth 6 points)
(07.04)

Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.

Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.

Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.



Question 6 (Essay Worth 6 points)
(07.02)

Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.

Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle.


I already answered 3 and 4

Answer 1

Answer step-by-step explanation:

solution set is { 3,4 }

4/15

3.65

n=9

5x + 4 < 29

5x < 29 - 4

5x < 25

x < 25/5

x < 5

solution set is { 3,4 }

Simple math

1. 3.42 + 5.76 = 9.18

2. 12.83 - 9.18 = 3.65

3.65 would be the cost of the notebook Jen bought

Given that Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game.

If n is the unknown point made by Rebecca then we get

total = 12

Bobbi earned = 6 points

Kate earned = 3 points

Total = 6+3+n =12

So answer is

6+3+n=12

n=9

I guess that this would work for these Part A.....let x be the amount he earned on Sunday.....so

Amount earned on Saturday + amount earned Sunday =

11 + x =

Represents the total amount he earned

Part B

Let N be the number of dogs that Kyle walked

Then, Larry walked 2N + 4 dogs

Then you can also do.....

Anything given that is not a definite number and has phrases like "does not know", "is looking for" will most likely indicate that it is the variable. We can represent the no. of desserts with the variable x like most equations do.

An expression representing how many strawberries will be needed in x desserts: 4x The variable "x" represents the number of desserts Heather will make.

In part B, we are given the ounces of strawberries Heather will be using. With the expression above, we can make an equation out of it. 4x = 24 With "x" of desserts, Heather is making, all we have to do is solve for the value of "x" to find the no. of desserts she will make with 24 ounces of strawberries. Divide both sides by 4. x = 6 She can make 6 desserts with 24 ounces of strawberries.