Equations
Inequalities
Absolute Value Equations
Absolute Value Inequalities
Misc.
100
Solve for x. (2/3)x = 36
x = 54
100
Graph x < -4
100
Solve. |2x - 9| = 15
x = -3 and x = 12
100
Solve |8x - 11| < 0
No solution
100
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What is 86 and 18?
200
Solve for x.
-2x - 10x + 12 = 18
x = -1/2
200
Graph the compound inequality
x < -1 or x > 2
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.
200
Solve |x + 2| ≤ 4
200
What is the solution of the following system of Equation?
y<=2x+2
y< -x+1
300
Solve.
4(x - 3) = 2x - 8
x = 2
300
Solve. 4 < -2x + 3 < 9
-1/2 x > x > -3
300
Solve |x - 1| + 5 = 2
No solution
300
Solve 3|x + 1| - 7 > -1
x < -3 or x > 1
300
The solution to the system using any method:
2x + 3y = 6
3x + 5y = 15
What is (-15, 12)?
400
Solve
12(x + 6) = 8(x - 6) + 4x + 120
All real numbers
400
Graph the compound inequality:
-1 < x < 2.
400
Solve |9 - 2x| = 3
x = 3
x= 6
400
Solve and graph: | x + 1| < 3.
400
What is the solution for this linear equality?
What is y> 2/3x -1
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
For the Absolute value function y = │x│ – 5,
graph the solution.
500
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
What is: $8, child ticket: $14 ?