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Graphing Equations and Solutions

Graphing Equations and Solutions

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

Created by

Liam Anderson

FREE Resource

This video tutorial teaches how to determine if a coordinate pair is a solution to an equation using its graph. It covers graphing equations like x² + y² = 25 and x + y = 4, showing how to plot points and identify solutions. The tutorial also demonstrates using algebra to verify if a point lies on the graph, confirming whether it satisfies the equation.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of using a graph in relation to equations?

To calculate the area under a curve

To determine if a coordinate pair is a solution

To find the slope of a line

To identify the x-intercept

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the graph of x^2 + y^2 = 25 form?

An ellipse

A circle

A parabola

A line

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing an equation using a table of values?

Calculate the slope

Make a table of values

Determine the domain

Find the y-intercept

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine the solutions of the equation x + y = 4 using a graph?

By using the quadratic formula

By finding the vertex

By plotting points that satisfy the equation and connecting them

By calculating the derivative

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following points is a solution to x + y = 4?

(2, 3)

(1, 2)

(3, 3)

(2, 2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the graph of an equation represent?

All possible x-values

All possible y-values

All critical points

All solutions to the equation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the point (3, 2) not a solution to the equation x^2 + y^2 = 25?

It is not a real number

It is not an integer

It lies outside the circle

It is not on the line

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