Algebra 1 | Unit 7 | Lesson 5: How Many Solutions? | Practice Problems

Rewrite each equation so that the expression on one side could be graphed and the x-intercepts of the graph would show the solutions to the equation.

Here are equations that define quadratic functions f, g, and h. Sketch a graph, by hand or using technology, that represents each equation. Determine how many solutions each f(x)=0, g(x)=0, and h(x)=0 has. Explain how you know.

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CCSS.8.EE.A.2

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

Decide if each equation has 0, 1, or 2 solutions and explain how you know.