Linear Equations
What is the solution for the following equation?
6 – 3y = 24
y = –6
What are the possible x values for the following
|x – 3| < 5
x < 8 and x > –2
What is the value of x for the following linear inequality?
2x – 5 ≤ 3
x ≤ 4
Find the possible actual solutions for the following equation
|2x – 1| = 9
x = –4 and x = 5
Write the inequality notation of the following interval
(1,5)
1 < x < 5
What is the solution to the following linear equation?
5 – 2x = 4x – 7
x = 2
If |a| > 2a – 3, what are the possible values for a
a < 3 and a > 1
If 3a + 7 > 2a – 8, then what is the value of a
a > -15
What are all the possible actual solutions to the following
|x – 2| = 3x + 10
x = –2
If the interval states [ –2,10), What would the inequality notation be?
-2 ≤ x < 10 or x ≥ -2 and x < 10
If –2(1 – 4x)= 3x + 8, what is the value of x?
x = 2
Find the solutions to the following absolute value inequality
|–4x + 2| < 2 – 4x
No Solution
What are the possible x values for the following?
4p + 2 ≤ 2(p + 5)
p ≤ 4
If |3x – 7| + 9 = 15 + 2x, what are the possible x values?
x = 13 and x = 1/5
Determine the interval notation of the following inequality
8 < x ≤ 16
(8,16]
What does m equal when 2m –(4m +6) = 5m + 1
m = –1
If 7|5x – 8| + 2 < 16, What is x?
x > 6/5 and x < 2
If 4(3x – 8) ≤ 4(2x + 1), then what is x?
x ≤ 9
if 5|6x + 12| – 2 = 28, what are all the possible x values?
x = –1 and x = -3
Write the interval notation of the following inequality
x < – 3 or x ≥ 9
( –∞, –3) U [ 9, ∞)
What are the possible values of x for the following linear equation?
3(x – 8) +4x = 8x + 4
x = –28
Find all solutions for |1/2 c – 10| – 9 ≤ –1
c ≤ 36 and c ≥ 4
Solve the following linear inequality
7 – 2/3x < x – 8
x > 9
Find all the possible x values for the following absolute value equation
4 –|3x – 9| – 4 = 33
no solution
Write the set builder notation of the following interval
(–∞, –4] U [7, ∞)
{x|x ≤ –4 U x ≥7)}