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Back to Tutor Intake Assessment: Understand graphs of equations

HSA.REI.D.10 Tutor Intake -- Graphs of Equations

This short check helps your tutor understand where to start. Answer each
question without help. If you are not sure, give your best try — the goal
is to find what to work on together, not to grade you.

Grade 9·6 problems·~10 min·Common Core Math - HS Algebra·standard·hsa-rei-d-10
Work through problems with immediate feedback
A

Concepts

1

Which statement best describes what the graph of an equation in two
variables represents?

2

A student plots 5 points that satisfy y=x2y = x^2 and draws a curve through
them. A classmate says: "The points between the plotted points are not
really on the graph — only the plotted points are."

Is the classmate correct?

3

Is the point (−1,−3)(-1, -3) on the graph of 2x+y=42x + y = 4?

B

Procedures

1

Which of the following points lies on the graph of y=2x−3y = 2x - 3?

2

Complete the table of values for y=x2−1y = x^2 - 1:

xx−1-1001122
yy  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲    ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲    ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲    ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  
y-neg1:
y-0:
y-1:
y-2:

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