Algebra 2 Flashcards: Using Intersections To Solve Equivalent Functions

Study Using Intersections To Solve Equivalent Functions in Algebra 2 with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Identify the intersection $x$ -value: $f(x)=-x+5$ and $g(x)=2x-1$ .

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ANSWER

$x=2$ . Set $-x+5=2x-1$ and solve: $6=3x$ , so $x=2$ .

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Algebra 2: Graphing Equations & Inequalities

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What this deck covers

This deck focuses on Using Intersections To Solve Equivalent Functions, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra 2.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 29Practice questions for this set

Solve

2^x=3x+1

using a table of values (successive approximations). Use the values below to choose the best approximation for the solution, to the nearest tenth. Table:

At $x=2.0$ : $2^x=4.0$ and $3x+1=7.0$
At $x=2.5$ : $2^x\approx 5.7$ and $3x+1=8.5$
At $x=2.8$ : $2^x\approx 7.0$ and $3x+1=9.4$
At $x=3.0$ : $2^x=8.0$ and $3x+1=10.0$
At $x=3.2$ : $2^x\approx 9.2$ and $3x+1=10.6$
At $x=3.4$ : $2^x\approx 10.6$ and $3x+1=11.2$
At $x=3.5$ : $2^x\approx 11.3$ and $3x+1=11.5$
At $x=3.6$ : $2^x\approx 12.1$ and $3x+1=11.8$

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