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NY-A.REI.11
Algebra IReasoning with Equations and Inequalities60 target questions

Explain why the x-coordinates of the points where the graphs of equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x).

Sample Practice Questions (3)

1
The functions and are graphed on the set of axes below. Based on the graph, what is the solution to the equation ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y f(x) g(x) Intersection
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
2
The graph of and is shown. What is the value of that makes true?
-5 -4 -3 -2 -1 1 2 3 4 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x y f(x) g(x) (3,7)
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
The functions and are graphed on the set of axes below. Based on the graph, what is the solution to the equation ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y f(x) g(x) Intersection
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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More Algebra I Standards

NY-A.SSE.1aInterpret parts of an expression such as terms factors and coefficients in context.→NY-A.SSE.1bInterpret complicated expressions by viewing one or more of their parts as a single entity.→NY-A.SSE.2Use the structure of an expression to identify ways to rewrite it. For example see x⁴ - y⁴ as (x²)² - (y²)² and factor accordingly.→NY-A.SSE.3aFactor a quadratic expression to reveal the zeros of the function it defines.→
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