Topics
7. Quadratic Functions
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United States of AmericaFL
Grade 912

Honors: 7.08 Combining linear and quadratic functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Given that $f\left(x\right)=x-7$f(x)=x−7 and $g\left(x\right)=8x+7$g(x)=8x+7, find $\left(fg\right)\left(x\right)$(fg)(x) in expanded form.

Easy
2min

Let $f\left(x\right)=x^2-1$f(x)=x2−1 and $g\left(x\right)=5x-1$g(x)=5x−1.

Easy
1min

Let $f\left(x\right)=x^2+6$f(x)=x2+6 and $g\left(x\right)=5x-3$g(x)=5x−3.

Easy
3min

Let $f\left(x\right)=-5x+3$f(x)=−5x+3 and $g\left(x\right)=x^2-7$g(x)=x2−7.

Easy
4min
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Outcomes

MA.912.AR.1.3

Add, subtract and multiply polynomial expressions with rational number coefficients.

MA.912.AR.1.4

Divide a polynomial expression by a monomial expression with rational number coefficients.

MA.912.AR.2.4

Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.

MA.912.AR.2.5

Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine constraints in terms of the context.

MA.912.AR.3.7

Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.

MA.912.AR.3.8

Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.

MA.912.F.3.1

Given a mathematical or real-world context, combine two functions, limited to linear and quadratic, using arithmetic operations. When appropriate, include domain restrictions for the new function.

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