Determine which expression is equivalent to 15a + 6. (5 points)

a
3(5a + 6)

b
3(5a + 2)

c
5(3a + 6)

d
5(3a + 2)

Question 2 (5 points)
(03.01 LC)

Excellence Middle School charges $6.25 for students from all grade levels to attend the school dance. If s represents the number of seventh grade students who came to the dance and g represents the number of eighth grade students at the dance, which expression best represents the total money collected for attending the dance. (5 points)

a
6.25s + g
b
6.25(s + g)

c
13.50(s + g)

d
13.50s + g

Question 3 (5 points)
(03.01 LC)

Ken and Paul have been mowing lawns to earn extra money. Their jobs earn $65 per week. Ken worked for x weeks and earned an extra $18. Paul worked for y weeks. From the expressions below, select one that determines the total amount that Ken and Paul earned mowing lawns. ? (5 points)

a
83x + 65y

b
65x − 18 + 65y

c
60x + 83y

d
65x + 18 + 65y

Question 4 (5 points)
(03.02 MC)

Michelle and her friends wondered who had the most pop albums in their music collection. She recorded the information below:


Music Collection Survey
Name Number of Pop Albums Total Number of Albums in the collection
Michelle 33 60
Sasha 36 78
Kat 40 89
Monica 24 59


Based on the survey, which friend had the greatest percentage of pop albums? (5 points)

a
Michelle

b
Sasha

c
Kat

d
Monica

Question 5 (5 points)
(03.02 MC)

Lynne was wondering which game was more popular so she aksed her friend which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us? (5 points)

a
30

b
20

c
44.45

d
5

Question 6 (5 points)
(03.02 MC)

Hulk, Iron Man, Thor, and Captain America together clean out evil from 60 cities. Hulk cleaned up 0.25 of the cities, Iron Man cleaned up 12 of the 60 cities, Thor cleaned 35% of the cities, and Captain America cleaned up the the remaining cities. Who cleaned up the most cities? (5 points)

a
Hulk

b
Iron Man

c
Thor

d
Captain America

Question 7 (5 points)
(03.04 MC)

Solve for x: (5 points)





a
12

b
−12

c
-35

d
35

Question 8 (5 points)
(03.04 MC)

Clark Kent needs to buy some new glasses. He has $70 to spend and the glasses that he wants only costs $30. He wants to spend the remainder of his money on new capes. Each cape costs $8. Which inequality represents the number of capes he can purchase? (5 points)

a
x ≥ 5

b
x ≤ 11

c
x ≤ 5

d
x ≥ 11

Question 9 (5 points)
(03.04 LC)

Find the equation that can represent the situation if the sum of two numbers is 32. We also know that the greater number is 5 more than the smaller number. (5 points)

a
x + (x + 5) = 32

b
x − (x + 5) = 32

c
x(x + 5) = 32

d
x(x − 5) = 32

Question 10 (5 points)
(03.05 MC)

SpongeBob needs $44 to buy a new pair of rectangle pants. He has already been able to save $9 and plans to work as a cook where he can earn $7 per hour. Which inequality shows the minimum number of hours, n, that SpongeBob will have to work as a cook to earn enough to buy the rectangle pants? (5 points)

a
9 + 7n ≤ 44, so n ≤ 5

b
9 + 7n ≥ 44, so n ≥ 5

c
7n ≥ 44 + 9, so n ≥ 7.8

d
7n ≤ 44 + 9, so n ≤ 7.8

Question 11 (5 points)
(03.05 MC)

Jesse sells clothes in the Yee Haw! Western Clothing store and earns $40 per day. She earns an extra $5 for each lasso she sells. If Jesse wants to earn at least $70 per day, which inequality shows the minimum number of lasso, n, that she would need to sell? (5 points)

a
40 + 5n ≤ 70, so n ≤ 6

b
40 + 5n ≥ 70, so n ≥ 25

c
40 + 5n ≤ 70, so n ≤ 25

d
40 + 5n ≥ 70, so n ≥ 6

Question 12 (5 points)
(03.05 MC)

Defne was looking online and saw some some cakes that looked delicious. Each cake costs $10.01 and has a shipping cost of $9.96 per order. If Defne wants to spend no more than $50 for the cakes, which inequality shows the maximum number of cakes, c, Defne can buy?(5 points)

a
9.96p − 10.01p ≤ 50, so p ≤ 1

b
9.96p + 10.01p ≤ 50, so p ≤ 2

c
9.96 − 10.01p ≤ 50, so p ≤ 3

d
9.96 + 10.01p ≤ 50, so p ≤ 4

I NEED HELP (ASAP)

Answer:

1. [tex]Expression: 3(5a + 2)[/tex]

2. [tex]Total\ charges = 6.25(s+g)[/tex]

3. [tex]Total = 65x + 18 + 65y[/tex]

4. Michelle

5. 20 friends

6. Thor

8. [tex]x\leq 5[/tex]

9. [tex]x + x + 5 = 32[/tex]

10. [tex]7n + 9 \leq 44[/tex] so: [tex]n \leq 5[/tex]

11. [tex]40 + 5n \leq 70[/tex] So: [tex]n \leq 6[/tex]

12. [tex]10.01 p + 9.96 \leq 50[/tex] so [tex]p \leq 4[/tex]

Step-by-step explanation:

1. Given

[tex]Expression: 15a + 6[/tex]

Required

Determine the equivalent expression

[tex]Expression: 15a + 6[/tex]

Expand:

[tex]Expression: 3 * 5a + 3 * 2[/tex]

Factorize:

[tex]Expression: 3(5a + 2)[/tex]

Hence, the equivalent expression of the given expression is [tex]3(5a + 2)[/tex]

2.

Given

[tex]Charges = \$6.25[/tex]

s = seventh grade students

g = eight grade students

Required

Determine the total charges

First, we need to calculate the total number of charges:

[tex]Total=s+g[/tex]

[tex]Total\ charges = Charges * Total[/tex]

[tex]Total\ charges = 6.25(s+g)[/tex]

3. Given

Ken

[tex]Duration = x\ weeks[/tex]

[tex]Extra\ Earnings = \$18[/tex]

[tex]Weekly\ Earnings = \$65[/tex]

Paul

[tex]Weekly\ Earnings = \$65[/tex]

[tex]Duration = y\ weeks[/tex]

Ken's total charges is:

[tex]Weekly\ Earnings * Duration + Extra\ Earnings[/tex]

[tex]65 * x + 18[/tex]

[tex]65x + 18[/tex]

Paul's total charges is:

[tex]Weekly\ Earnings * Duration[/tex]

[tex]65 * y[/tex]

[tex]65 y[/tex]

[tex]Total = Ken + Paul[/tex]

[tex]Total = 65x + 18 + 65y[/tex]

4.

To calculate the percentage, we simply divided the number of pop albums by the total number of albums.

For Michelle.

[tex]\%Pop = \frac{33}{60} * 100\%[/tex]

[tex]\%Pop = \frac{3300\%}{60}[/tex]

[tex]\%Pop = 55\%[/tex]

For Sasha

[tex]\%Pop = \frac{36}{78} * 100\%[/tex]

[tex]\%Pop = \frac{3600\%}{78}[/tex]

[tex]\%Pop = 46.2\%[/tex]

For Kat:

[tex]\%Pop = \frac{40}{89} * 100\%[/tex]

[tex]\%Pop = \frac{4000\%}{89}[/tex]

[tex]\%Pop = 44.9\%[/tex]

For Monica:

[tex]\%Pop = \frac{24}{59} * 100\%[/tex]

[tex]\%Pop = \frac{2400\%}{59}[/tex]

[tex]\%Pop = 40.7\%[/tex]

From the calculation above, Michelle has the highest percentage of Pop music

5.

[tex]People = 80[/tex]

[tex]Fortnite = 0.55[/tex]

[tex]Among\ Us = 30\%[/tex]

Required

Determine number of friends that prefer fortnite more than among us

First, we need to calculate the number of people that prefer Fortnite.

[tex]Fortnite = 0.55 * 80[/tex]

[tex]Fortnite = 44[/tex]

Next, we need to calculate the number of people that prefer Among Us.

[tex]Among\ Us = 30\% * 80[/tex]

[tex]Among\ Us = 24[/tex]

The difference is:

[tex]Difference = 44 - 24[/tex]

[tex]Difference = 20[/tex]

Hence, 20 more people preferred Fortnite to Among Us

6.

[tex]Hulk = 0.25[/tex]

[tex]Iron\ Man = 12[/tex]

[tex]Thor = 35\%[/tex]

Captain America cleaned the rest

[tex]Total = 60[/tex]

Number of cities by each is:

[tex]Hulk = 0.25 * 60[/tex]

[tex]Hulk = 15[/tex]

[tex]Iron\ Man = 12[/tex]

[tex]Thor = 35\%[/tex]

[tex]Thor = 35\% * 60[/tex]

[tex]Thor = 21[/tex]

[tex]Captain\ America = 60 - 15 -12 - 21[/tex]

[tex]Captain\ America = 12[/tex]

By comparison, Thor cleaned the highest number of cities

7. This question is not clear

[tex]Total = \$70[/tex]

[tex]Glass = \$30[/tex]

[tex]Each\ Cape = \$8[/tex]

Let the number of cape be x.

We have that:

[tex]8 * x + 30 \leq 70[/tex]

[tex]8 x +\leq 70 - 30[/tex]

[tex]8 x +\leq 40[/tex]

[tex]x\leq 5[/tex]

9.

Let the first number be x and the second be y

[tex]x + y = 32[/tex]

[tex]y = x + 5[/tex]

Substitute x + 5 for y in the first equation

[tex]x + x + 5 = 32[/tex]

10.

[tex]Savings = \$9[/tex]

Earnings = $7 per hous

Total = $44

The inequality is:

[tex]7 * n + 9 \leq 44[/tex]

[tex]7n + 9 \leq 44[/tex]

[tex]7n \leq 44 - 9[/tex]

[tex]7n \leq 35[/tex]

[tex]n \leq 5[/tex]

11.

Earnings = $40

Extra = $5 per lasso

Total Earnings = At least $70 daily

The inequality is:

[tex]40 + 5n \leq 70[/tex]

[tex]5n \leq 70 - 40[/tex]

[tex]5n \leq 30[/tex]

[tex]n \leq 6[/tex]

12.

[tex]Each\ Cake = \$0.01[/tex]

[tex]Shipping = \$9.96[/tex] per order

[tex]Available = \$50[/tex] --- maximum

The inequality is:

[tex]10.01 * p + 9.96 \leq 50[/tex]

[tex]10.01 p + 9.96 \leq 50[/tex]

[tex]10.01 p \leq 50 - 9.96[/tex]

[tex]10.01 p \leq 40.04[/tex]

[tex]p \leq 4[/tex]

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