Question

Question 1
A) Correctly sort the inequality descriptions and solutions. (3 points)
 m is less than -3  m is at least -3  m is at most -3  m is greater than -3

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 < −1.79
y < −11
y < −350
y < −39

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
Step 1:
Step 2:
Solution:
A)
Solve the equation for x.
(3 points)
−3x + 4 = −8
 x = 4
3  x = -4  x = 4  x = −
4
3  Add 3 to both sides of the equation.  Multiply both sides of the equation by -3.
 Divide both sides of the equation by -3.  Add 4 to both sides of the equation.  Subtract 4 from both sides of the equation.

Question 4
Step 1.
Step 2.
Step 3.
A)
Consider the inequality.
Correctly order the steps used to solve the inequality.
(3 points)
1.25x + 12.75 ≤ 16.5
 Subtract 1.25 from both sides of the inequality.  Add 12.75 to both sides of the inequality.
 Subtract 12.75 from both sides of the inequality.  Multiply by 1.25 on both sides of the inequality.
 Divide by 1.25 on both sides of the inequality.  Divide by 12.75 on both sides of the inequality.
 Finally, reverse the inequality.  Finally, do not reverse the inequality.

B) What is the solution set for 1.25x + 12.75 ≤ 16.5? (1 point)
x ≥ −3
x ≥ 3
x ≤ −3
x ≤ 3

Question 5
Step 1.
Step 2.
Step 3.
A)
Consider the inequality.
Correctly order the steps used to solve the inequality.
(3 points)
−4x − 5 < 31
 Add 4 to both sides of the inequality.  Add 5 to both sides of the inequality.  Subtract 5 from both sides of the inequality.
 Multiply by -4 on both sides of the inequality.  Divide by -4 on both sides of the inequality.
 Multiply by -5 on both sides of the inequality.  Finally, reverse the inequality.  Finally, do not reverse the inequality

Answer 1

Question 1
- "m is less than -3" → m < -3
- "m is at least -3" → m ≥ -3
- "m is at most -3" → m ≤ -3
- "m is greater than -3" → m > -3

Question 2
A) Add 14 to both sides of the inequality.
B) y < −11
C) Open circle, shade left

Question 3
Step 1: Subtract 4 from both sides.
Step 2: Divide both sides by -3.
Solution: x = 4

Question 4
Step 1: Subtract 12.75 from both sides.
Step 2: Divide by 1.25 on both sides.
Step 3: Finally, do not reverse the inequality.
B) Solution: x ≤ 3

Question 5
Step 1: Add 5 to both sides of the inequality.
Step 2: Divide by -4 on both sides of the inequality.
Step 3: Finally, reverse the inequality.