Topics
2. Quadratic Functions & Equations
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United States of AmericaFL
Grade 912

2.07 Nonlinear systems of inequalities

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Is the origin, $\left(0,0\right)$(0,0), a solution to the following system of inequalities?

$y\le x^2+5$y≤x2+5 and

$y>x+3$y>x+3

Yes

A

No

B
Easy
< 1min

Consider the system of equations:

$y=6-x^2$y=6−x2 and

$y=x+4$y=x+4

Easy
1min

Consider the system of inequalities defined by $y$y$\le$≤$x^2$x2 and $y$y$\le$≤$3x+5$3x+5.

Medium
1min

Consider the system of inequalities defined by $y$y$>$>$x^2$x2 and $y$y$>$>$3x+3$3x+3.

Medium
1min
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Outcomes

MA.912.AR.3.9

Given a mathematical or real-world context, write two-variable quadratic inequalities to represent relationships between quantities from a graph or a written description.

MA.912.AR.3.10

Given a mathematical or real-world context, graph the solution set to a two-variable quadratic inequality.

MA.912.AR.9.2

Given a mathematical or real-world context, solve a system consisting of a two-variable linear equation and a non-linear equation algebraically or graphically.

MA.912.AR.9.3

Given a mathematical or real-world context, solve a system consisting of two-variable linear or non-linear equations algebraically or graphically.

MA.912.AR.9.5

Graph the solution set of a system of two-variable inequalities.

MA.912.AR.9.7

Given a real-world context, represent constraints as systems of linear and non-linear equations or inequalities. Interpret solutions to problems as viable or non-viable options.

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