Question

A) Correctly sort the inequality descriptions and solutions. (3 points)
 m is greater than 7  m is at least 7  m is less than 7  m is at most 7
Question 2
A)
Consider the inequality:
Which step is needed to solve this inequality?
(1 point)
y + 14 < 25
Add 14 to both sides of the inequality.
Subtract 14 from both sides of the inequality.
Multiply 14 on both sides of the inequality.
Divide 14 on both sides of the inequality.
B) Determine the solution to the inequality. (1 point)
y < 39
y < 1.79
y < 11
y < 350
C) How should the solution of the inequality be graphed? (1 point)
Open circle, shade right
Open circle, shade left
Closed circle, shade right
Closed circle, shade left

Question 3
A)
Consider the inequality.
Which step is needed to solve this inequality?
(1 point)
w ≥ 8
5
9
Add to both sides of the inequality.
5
9
Subtract to both sides of the inequality.
5
9
Multiply on both sides of the inequality.
5
9
Divide on both sides of the inequality.
5
9
B) Determine the solution to the inequality. (1 point)
w ≥ 7
4
9
w ≥ 8
5
9
w ≥ 4
4
5
w ≥ 14
2
5
C) How should the solution of the inequality be graphed? (1 point)
Open circle, shade right
Open circle, shade left
Closed circle, shade right
Closed circle, shade left
Question 4
Step 1.
Step 2.
Graph.
A)
Consider the inequality.
Drag and drop the steps to solve the inequality in the correct order.
(3 points)
4m − 2 ≤ 14
 Subtract 4 on both sides of the inequality.  Add 2 to both sides of the inequality.  Subtract 2 both sides of the inequality.
 Divide by 14 on both sides of the inequality.  Divide by 2 on both sides of the inequality.
 Multiply by 4 on both sides of the inequality.  Divide by 4 on both sides of the inequality.  Open circle, shade right
 Open circle, shade left  Closed circle, shade right  Closed circle, shade left
B)
Determine the solution to the inequality.
(1 point)
4m − 2 ≤ 14
m ≤ 4
m ≤ 5
m ≤ 7
m ≤ 3

Question 5
Step 1.
Step 2.
Graph.
A)
Consider the inequality.
Drag and drop the steps to solve the inequality in the correct order.
(3 points)
5x + 12.5 < 23.1
 Add 12.5 to both sides of the inequality.  Subtract 12.5 from both sides of the inequality.
 Divide 12.5 on both sides of the inequality.  Multiply 5 both sides of the inequality.  Divide by 5 on both sides of the inequality.
 Subtract 5 from both sides of the inequality.  Open circle, shade right  Open circle, shade left  Closed circle, shade right
 Closed circle, shade left
B) Determine the solution in decimal form to the hundredths place. (1 point)
x < 17.12
x < 2.12
x < 1.45
x < 7.12

Answer 1

Here are the correct answers:

Question A (match wording to symbols)
- m is greater than 7 → m > 7
- m is at least 7 → m ≥ 7
- m is less than 7 → m < 7
- m is at most 7 → m ≤ 7

Question 2
A) Step needed: Subtract 14 from both sides.
B) Solution: y < 11 (since y + 14 < 25 → y < 25 − 14 = 11)
C) Graph: Open circle, shade left

Question 3
(Interpreting the inequality as (5/9)w ≥ 8)
A) Step needed: Divide both sides by 5/9 (equivalently multiply both sides by 9/5).
B) Solution: w ≥ 14 2/5 (w ≥ 72/5 = 14.4)
C) Graph: Closed circle, shade right

Question 4
Inequality: 4m − 2 ≤ 14
A) Steps in order:
Step 1: Add 2 to both sides (4m ≤ 16)
Step 2: Divide both sides by 4 (m ≤ 4)
Graph: Closed circle, shade left
B) Solution: m ≤ 4

Question 5
Inequality: 5x + 12.5 < 23.1
A) Steps in order:
Step 1: Subtract 12.5 from both sides (5x < 10.6)
Step 2: Divide both sides by 5 (x < 2.12)
Graph: Open circle, shade left
B) Solution (to hundredths): x < 2.12