Applications of Inequality Systems
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the correct graph for each inequality.
A
B
C
D
Tags
CCSS.HSA.REI.D.12
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is not a solution to this system of inequalities?
(0,-1)
(0,3)
(4,0)
(6,-2)
Tags
CCSS.HSA.REI.D.12
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the graph for y ≥ -3.
A
B
C
D
Tags
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
x + y ≥ 6
32x + 20y ≤ 150
x + y ≥ 632
x + 20y ≥ 150
x + y ≤ 6
32x + 20y ≤ 150
x + y ≤ 6
32x + 20y ≥ 150
5.
DROPDOWN QUESTION
1 min • 1 pt
Justin wants to make some chocolate milk using whole milk and chocolate syrup. He wanted his chocolate milk to have less than 10 grams of fat and less than 30 grams of sugar. The first mixture was on the amount of fat. He combined x ounces of whole milk containing 1 gram of fat per ounce with y ounces of chocolate syrup containing 0.34 grams of fat per ounce. The second mixture was focused on sugar and consisted of x ounces of whole milk containing 1.4 grams of sugar per ounce and y ounces of chocolate syrup containing 16 grams of sugar per ounce. Use the dropdowns to write a system of inequalities to represent the constraints of this situation. x + 0.34y (a) 1.4x + 16y (b)
< 10
< 30
> 10
>30
6.
DROPDOWN QUESTION
1 min • 1 pt
Justin wants to make some chocolate milk using whole milk and chocolate syrup. He wanted his chocolate milk to have less than 10 grams of fat and less than 30 grams of sugar. The first mixture was on the amount of fat. He combined x ounces of whole milk containing 1 gram of fat per ounce with y ounces of chocolate syrup containing 0.34 grams of fat per ounce. The second mixture was focused on sugar and consisted of x ounces of whole milk containing 1.4 grams of sugar per ounce and y ounces of chocolate syrup containing 16 grams of sugar per ounce. Use the dropdowns to write a system of inequalities to represent the constraints of this situation. x + 0.34y (a) 1.4x + 16y (b)
< 10
< 30
> 10
>30
7.
MATCH QUESTION
1 min • 1 pt
Determine whether each ordered pair is a solution or not a solution to this system of inequalities.
y ≥ −x
2x + y > 2
Not a solution
(2,3)
Not a solution
(0,0)
Solution
(2,-2)
Solution
(4, -5)
Not a solution
(5,6)
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