Conjunction and Disjunction Practice
Absolute Value
Inequalities and Absolute Value
Inequalities in 2 Variables
Graphing Systems of Linear Inequalities
100
3+5z>2z-15
z>-6
100
|x + 3| = 5
x = 2, -8
100
|3x| < 15
x > -5 , x < 5
100
Is (5, -3) a solution of the inequality 2x - y > 5?
Yes, (5, -3) is a solution of 2x - y > 5.
100
Graph x ≤ 0 and x - y > 1
The following description should match your graph: dashed line, crosses (1, -1) and is shaded below the line.
200
3(1-3z)+6<18
z>-1
200
|2x - 4| = 10
x = 7, -3
200
|3x| < 18
x > -6 , x < 6
200
Is (4, 8) a solution of y > 2x + 1?
No, (4, 8) is not a solution to y > 2x + 1?
200
Graph y < x and y < -x + 1
The following description should match your graph: Both lines are dashed, both lines form the shape of an x, Line A is going down from the 2nd quadrant (top left) to the 4th quadrant (bottom right), Line B is going down from the 1st quadrant (top right) to the 3rd quadrant (bottom left), and both are shaded below.
300
6+4z>2z-8
z>-7
300
|x - 6|= 10
x = 16, -4
300
|3x - 4| ≤ 2
x ≥ 2/3, x ≤ 2
300
Is (2, 1) a solution of x + y < 4?
Yes, (2, 1) is a solution of x + y < 4.
300
Graph y > 4x - 1 and y ≤ -2x + 3
The following description should match your graph: Line A is solid and Line B is dashed, Line A is shaded below and Line B is shaded above.
400
-6 ≤ 2x + 4 < 10
-5 ≤ x < 3
400
-|x + 1| = -2
no solution
400
|2x + 1| (less than or equal to) 5
x ≥ -3, x ≤ 2
400
2x + 3y ≤12
y ≤ -2/3x + 4
400
Graph 2x - 3y ≥ 9 and 2y + x > 6
The following description should match your graph: Line A is solid, Line B is dashed, Line A is shaded below, and Line B is shaded above.
500
5(1-2z)+4<21
z > -6/5
500
|5x - 3| = 17
x=4, x=-14/5
500
|6x + 1| ≥ 11
x ≤ -2, x ≥ 5/3
500
y - x < 0
y < x + 0
500
DOUBLE JEOPARDY!!!!!!! :) Write an inequality for this question: The math club will sell rolls of wrapping paper and ribbon as a fundraiser. They can order up to 300 items as long as they spend less than $600. They also must buy at least as many rolls of as many rolls of wrapping paper as rolls of ribbon. Each roll of wrapping paper costs the club $2. Each roll of ribbon costs the club $3.
2p + 3r < 600 AND p + r ≤ 300 AND p ≥ r
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