Graphing and Writing Inequalities
Solutions to Inequalities
Solve Inequalities
The Coordinate Plane
Reasoning on the Coordinate Plane
100
When graphing inequalities, which inequality symbols have an OPEN dot?
< Less Than
> Greater Than
100
Is x = -6 a solution to the inequality?
x > -3
No
100
Solving and graph the inequality.
x + 2.5 > 8
x > 5.5
100
Give the ordered pair for point B.
(0,-4)
100
The point (3,2) is reflected across the x-axis. Give the ordered pair for the resulting point.
(-3,2)
200
What inequality is graphed here?
x≥-3
200
Is k = -20 a solution to the inequality?
k + 10 ≥ -10
Yes
200
Solve and graph the inequality.
x/5 ≤ 0.8
x ≤ 4
200
Give the ordered pair for point G.
(-4,3)
200
Give the area for the shape created:
(4,1) (4, -3) (-6,-3) (-6,1)
40 square units
300
What inequality is graphed here?
x<4
300
Which of the set {5, 5.5, 6, 6.5, 7} are solutions to the inequality?
4k≥26
6.5, 7
300
Solve the inequality. Then graph the solution.
2.5x < 50
x<20
300
If you spell the word "DIG," in which quadrants are your points? Give them in order (D->I->G)
I, III, II
300
What is the midpoint between these two points?
(-4, 8) (6,8)
(1,8)
400
Which inequality is graphed below?
A. 2x<12. B. 1/5x <1
C. x+3≤8. D. x-1<6
B
400
Which of the following are solutions to this inequality?
2x+4>20
{6, 7, 8, 9}
9
400
Solve the inequality. Then graph the solution.
14≤ 1/2y + 4.5
y≥19
400
Which points are reflections of one another?
H and I
400
Which expression could be used to find the area of the triangle?
A. 1/2*(|-3|+|2|)*(|3|-|-1|)
B. 1/2*(|-3|+|2|)*(|3|+|-1|)
B. 1/2*(|-3|-|2|)*(|3|+|-1|)
B
500
Represent with an inequality:
Mr. Reichenbach said his students need to read no less than 15 minutes of their novel each night.
m≥15
500
Which of the following are solutions to 0.5x -3 ≤ 7
{17, 18, 19, 20}
All of them (17, 18, 19, 20)
500
Solve the Inequality. Then graph the solution.
3f+7≥43
f≥12
500
In which quadrant would you find ordered pairs that are
A. (-,+)
B. (-,-)
A. II
B. III
500
On a map, Sylvan started a point (-3,5), then went to (-3,-2), and finally ended up at (-7,-2). How many units did he travel?
11 units