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4.04 Two variable linear inequalities

Adaptive
Worksheet

Interactive practice questions

Applicants for a particular job are asked to sit a numeracy test and verbal reasoning test. Successful applicants must obtain a minimum combined score of $43$43 for both tests.

Let $x$x and $y$y represent an applicant’s score on the numeracy and verbal reasoning test respectively.

Write an inequality representing the relationship between $x$x and $y$y.

Easy
< 1min

Throughout university, Luigi works as a mentor, getting paid $\$10$$10 per hour, and as a barista getting paid $\$13$$13 per hour. The number of hours he works in each job can vary from week to week, and he needs to be able to at least cover his weekly expenses of $\$260$$260.

Easy
< 1min

Lisa is being careful with her spending so she can later purchase a house. She has allocated no more than $\$450$$450 each month for both travel expenses and eating out. On average, every time she eats out it costs $\$18$$18, and every travel journey costs $\$5$$5.

Easy
2min

In the new basketball season, Mario is looking to beat his personal best of scoring $102$102 points in total for the whole season (this does not include points from fouls).

Medium
2min
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Outcomes

A.EI.2

The student will represent, solve, explain, and interpret the solution to a system of two linear equations, a linear inequality in two variables, or a system of two linear inequalities in two variables.

A.EI.2d

Create a linear inequality in two variables to represent a contextual situation.

A.EI.2e

Represent the solution of a linear inequality in two variables graphically on a coordinate plane.

A.EI.2h

Verify possible solution(s) to a system of two linear equations, a linear inequality in two variable, or a system of two linear inequalities algebraically, graphically, and with technology to justify the reasonableness of the answer(s). Explain the solution method and interpret solutions for problems given in context.

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