Question

Question 7
A)
Sam starts the summer with $950 in his wallet. He aims to have a minimum of $600 left by the end of the summer. Each
week, he spends $35 on recreational activities.
Which inequality should be used to determine the number of weeks (w) Sam can continue spending money?
(1 point)
950 + 35w > 600
950 − 35w ≤ 600
950 + 35w ≥ 600
950 − 35w ≥ 600
B) (1 point)
Sam can continue spending money for weeks.

Question 8
A)
Mark and Anson each have a video game collection.
The number of video games in Mark's collection can be represented by g.
The number of video games in Anson's collection is 5 times the number in Mark's collection.
The total number of video games combined is no more than 72.
Which inequality should be used to determine the number of video games (g) in Mark’s collection?
(1 point)
6g ≤ 72
6g > 72
6g ≥ 72
6g < 72
B) (1 point)
Mark has 12 games in his collection.

Question 9
Step 1.
Step 2.
Step 3.
A)
Consider the inequality.
12 − 6x > 24
Correctly order the steps used to solve the inequality.
(1 point)
 Subtract 12 from both sides of the inequality.  Add 12 to both sides of the inequality.
 Add 6 to both sides of the inequality.  Divide by 12 on both sides of the inequality.
 Divide by -6 on both sides of the inequality.  Finally, reverse the inequality.  Finally, do not reverse the inequality.

B) What is the solution set for 12 − 6x > 24? (1 point)
x > 2
x < 2
x > − 2
x < − 2

Question 10
miles per hour
A)
Determine the constant of proportionality for the graph below. Remember that constant of proportionality is k =
y
x
(1 point)

Question 11
$
A)
A gaming console regularly sells for $399. It is on sale for 20% off. Determine the sale price of the gaming console.
(1 point)

Answer 1

Question 7
A) 950 − 35w ≥ 600
B) Solve: 950 − 35w ≥ 600 ⇒ −35w ≥ −350 ⇒ w ≤ 10.
Sam can continue spending for 10 weeks.

Question 8
A) 6g ≤ 72
B) g ≤ 12, so Mark has 12 games (maximum).

Question 9
A) Steps in order:
1. Subtract 12 from both sides.
2. Divide by −6 on both sides.
3. Finally, reverse the inequality.
B) Solve: 12 − 6x > 24 ⇒ −6x > 12 ⇒ x < −2.

Question 10
I don’t have the graph image or coordinates. The constant of proportionality k = y/x; pick any point (x,y) on the line (other than the origin) and compute k = y ÷ x. If you post the graph or one point on it, I’ll compute k.

Question 11
Sale price = 399 × (1 − 0.20) = 399 × 0.80 = $319.20.