An apparent solution that must be rejected because it does not satisfy the original equation.
Extraneous solution
200
Solve for x.
-2x - 10x + 12 = 18
x = -1/2
200
To advance to the next level of a competition, Rachel must earn at least 180 points. She has already earned 145 points. Write and solve an inequality to find the number of points p she needs to advance to the next level of the competition.
145 + p > 180
p > 35 points
200
Solve
|x + 6| = 2x
x = 6
200
Solve
|x + 2| - 3 > -6
All real numbers
200
Without calculating, how do you know that the equation
|4x - 7| = -1 has no solution?
The absolute value cannot equal a negative number, because it represents a distance and distance is always positive.
300
Solve.
4(x - 3) = 2x - 8
x = 2
300
Solve.
4 < -2x + 3 < 9
-1/2 x > x > -3
(or -3 < x < -1/2)
300
Solve
|x - 1| + 5 = 2
No solution
300
Solve
3|x + 1| - 7 > -1
x < -3 or x > 1
300
Ms. Gelozin's wedding date.
May 6, 2017
400
Solve
12(x + 6) = 8(x - 6) + 4x + 120
All real numbers
400
Solve.
-12 < (1/2)(4x + 16) < 18
-10 < x < 5
400
Solve
|5x - 2| = |5x + 4|
x = -0.2
400
Solve
6|-x + 3| + 7 > 7
x < 3 or x > 3
400
A circle has an area of 36(pi) square inches. Find the diameter.
diameter = 12 inches
500
Solve for b.
8a - 4b = 36
b = 2a - 9
500
Solve
2(5x - 1) < 7 + 10x
-2 < 7
--> All real numbers
500
Write an absolute value equation that has the given solutions: 3 and 9.
|x - 6| = 3
500
Solve
2|2x - 3| - 4 > 6
x < -1 or x > 4
500
A triangle has a height of 8 feet and an area of 48 square feet. Find the base.