Framing/Writing Linear Inequalities in Two Variables
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Kim is using two mobile networks. Network one charges RM0.30 for every minute of call and network two charges RM0.38 for every minute of call. Kim spends at least RM68 monthly for calls. Which of the following inequalities is best to represent Kim's situation?
0.30x + 0.38y < 68
0.30x + 0.38y > 68
0.30x + 0.38y ≤ 68
0.30x + 0.38y ≥ 68
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A fast food restaurant charges $6 for chicken nuggets and $3 for fries. You are buying lunch for yourself and your friends, but you only have $30.
x: number of chicken nuggets
y: number of fries
Which inequality represents the constraints.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Alvin, a mechanic, earns $17 for every oil change, x, he performs and $77 for every tune-up, y. He needs to earn over $1,400 today to be able to pay the rent for his business and still have some money left over.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least RM 230. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?
4𝑥 + 7𝑦 ≥ 230
4𝑥 + 7𝑦 ≤ 230
4𝑥 + 7𝑦 > 230
4𝑥 + 7𝑦 < 230
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Maggie’s parents are booking a band and a DJ for a sweet 16, and wants to keep the cost of entertainment under $1,200. A band can play for part of the time at an hourly rate of $150, and a DJ can play for the remaining time at an hourly rate of $79. Write an inequality to describe the possible combinations of x band time and y DJ time?
150x + 79y < 1200
79x + 150y ≥ 1200
150x + 79y ≤ 1200
79x + 150y ≤ 1200
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A student is buying hot chips and sodas from the corner store. She can choose any combination of chips and sodas, and she does not want to spend more than $20. If hot chips cost $2.50 each and sodas costs $1.75 each, which inequality represents all possible combinations of x hot chips and y sodas?
2.5x + 1.75y ≥ 20
2.5x + 1.75y ≤ 20
2.5x + 1.75y < 20
1.75x + 2.5y ≥ 20
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
It takes Sarah 2 hours to make small purses (x) and 3 hours to make big purses(y). She can work for no more than 18 hours a week. Which inequality represents this situation?
2x + 3y ≤ 18
x + y ≤ 6
x + y ≤ 9
3x + 2y ≤ 18
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