Answer :
The correct answers are:
1. b
2. a
3. d
4. a
5. a
6. c
7. a
8. a
9. a
10. b
11. b
12. b
Let's analyze each question:
Question 1:
[tex]\[15a + 6\][/tex]
The equivalent expression is:[tex]\[3(5a + 2)\][/tex]
So, the correct answer is b. 3(5a + 2).
Question 2:
[tex]\[6.25s + g\][/tex]
This expression best represents the total money collected for attending the dance. Therefore, the correct answer is a. 6.25s + g.
Question 3:
[tex]\[65x + 18 + 65y\][/tex]
This expression determines the total amount that Ken and Paul earned mowing lawns. Therefore, the correct answer is d. 65x + 18 + 65y.
Question 4:
To find the friend with the greatest percentage of pop albums, calculate the percentage of pop albums for each friend:
a. Michelle: [tex]\(\frac{33}{60} \times 100 \approx 55\%\)[/tex]
b. Sasha: [tex]\(\frac{36}{78} \times 100 \approx 46.15\%\)[/tex]
c. Kat: [tex]\(\frac{40}{89} \times 100 \approx 44.94\%\)[/tex]
d. Monica: [tex]\(\frac{24}{59} \times 100 \approx 40.68\%\)[/tex]
So, the correct answer is a. Michelle.
Question 5:
Calculate the difference in preference:
[tex]\[0.55 - 0.30 = 0.25\][/tex]
So, the correct answer is a. 30.
Question 6:
Calculate the number of cities each cleaned:
a. Hulk:[tex]\(0.25 \times 60 = 15\)[/tex]
b. Iron Man: [tex]\(12\)[/tex]
c. Thor:[tex]\(0.35 \times 60 = 21\)[/tex]
d. Captain America: [tex]\(60 - 15 - 12 - 21 = 12\)[/tex]
So, the correct answer is c. Thor.
Question 7:
Solve for [tex]\(x\) in \(2x - 7 = 17\):[/tex]
[tex]\[2x = 24\][/tex]
[tex]\[x = 12\][/tex]
So, the correct answer is a. 12.
Question 8:
Write the inequality for the number of capes [tex](\(x\)):[/tex]
[tex]\[x = \frac{70 - 30}{8}\][/tex]
[tex]\[x = \frac{40}{8}\][/tex]
[tex]\[x = 5\][/tex]
So, the correct answer is a. [tex]\(x \geq 5\)[/tex]
Question 9:
The correct equation is a. [tex]\(x + (x + 5) = 32\)[/tex]
Question 10:
The correct inequality is b. [tex]\(9 + 7n \geq 44\), so \(n \geq 5\)[/tex]
Question 11:
The correct inequality is b. [tex]\(40 + 5n \geq 70\), so \(n \geq 6\)\\[/tex]
Question 12:
The correct inequality is [tex]b. \(9.96p + 10.01p \leq 50\), so \(p \leq 2\).[/tex]