Question

B) What is the solution set for −4x − 5 < 31? (1 point)
x < −9
x > −9
x > 9
x < 9
A)
Solve for x in the inequality.
(1 point)
−1.7x ≥ 5.95
x ≤ −3.5
x ≤ 3.5
x ≥ 3.5
x ≥ −3.5

Question 7
A)
Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of
the summer. Each week, he gives away 100 marbles to friends.
Which inequality should be used to determine the number of weeks (w) Jake can continue giving away marbles?
(1 point)
1000 − 100w ≥ 500
1000 − 100w > 500
1000 − 100w < 500
1000 − 100w ≤ 500
B) (1 point)
Jake can give away marbles for 5 weeks.

Question 8
A)
Sophie is eyeing a new bicycle that costs $1,200. She earns $160 per week from her part-time job. Currently, she has saved up $400.
What inequality represents the minimum number of weeks (w) Sophie needs to work to afford the bicycle?
(1 point)
400w + 160w ≥ 1200
400 + 160w ≥ 1200
400w + 160w ≤ 1200
400 + 160w ≤ 1200

Question 9
A)
Which of the following shows the graph of the solution to ?
(1 point)
x − 0.3 < 3.2

Question 10
Step 1
Step 2
Graph the solution.
A)
Eric is solving the inequality and graphing the solution.
Correctly order the steps he used.
(3 points)
9x + 15 ≥ 51
 Divide both sides of the inequality by 9.  Subtract 15 from both sides of the inequality.  Open circle, shade right.
 Open circle, shade left.  Closed circle, shade right.  Closed circle, shade left.  Add 15 to both sides of the inequality.
 Subtract 9 from both sides of the inequality

Answer 1

Here are the answers:

B) −4x − 5 < 31
- Solve: −4x < 36 → x > −9
- Answer: x > −9

A) −1.7x ≥ 5.95
- Solve: x ≤ 5.95/(-1.7) = −3.5
- Answer: x ≤ −3.5

Question 7
A) Inequality: 1000 − 100w ≥ 500
B) Jake can give marbles for 5 weeks (w ≤ 5), so yes — up to 5 weeks.

Question 8
A) 400 + 160w ≥ 1200

Question 9
x − 0.3 < 3.2 → x < 3.5
- Graph: open circle at 3.5, shade left.

Question 10
Correct order:
1. Subtract 15 from both sides.
2. Divide both sides by 9.
3. Closed circle, shade right (since x ≥ 4).