Tables, Graphs, and Equations

Learn and apply tables, graphs, and equations using equations, examples, and interpretation.

Lesson 4 of 53 parts Practice Flashcards

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Tables

Objective: Explain and use tables in an Algebra 1 problem.

A table samples input-output pairs; differences across equal input steps help reveal a constant rate of change. No, multiple rules can fit finitely many points.

Worked examples

Try itExample 1.1: In a linear table, outputs at x=0 and x=1 are 17 and 21. What is the first difference?Show answer

4. Subtract the first output from the second. The answer is 4.

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Tables

Objective: Explain and use tables in an Algebra 1 problem.

A table samples input-output pairs; differences across equal input steps help reveal a constant rate of change. No, multiple rules can fit finitely many points.

Worked examples

Try itExample 1.1: In a linear table, outputs at x=0 and x=1 are 17 and 21. What is the first difference?Show answer

4. Subtract the first output from the second. The answer is 4.

Graphs

Objective: Explain and use graphs in an Algebra 1 problem.

A graph places each allowed ordered pair (x,y) on coordinate axes and can reveal trends, intercepts, and restrictions. It makes the plotted quantities interpretable.

Worked examples

Try itExample 2.1: For f(x)=2x+27, find f(8).Show answer

43. Replace x with 8 in the stated function. The answer is 43.

Equivalent Representations

Objective: Explain and use equivalent representations in an Algebra 1 problem.

An equation, a table, and a graph can describe the same relationship; verify that sampled coordinates satisfy the equation. Substitute each row into the rule.

Worked examples

Try itExample 3.1: For f(x)=3x+37, find f(11).Show answer

70. Replace x with 11 in the stated function. The answer is 70.

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