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Linear Equations and Their Graphs

Linear Equations and Their Graphs

Assessment

Interactive Video

Mathematics

8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial guides 8th graders through solving a linear equation by finding solutions, plotting them on a coordinate plane, and determining the graph's shape. The teacher demonstrates how to find six solutions to the equation 1/2x + y = 5, graph these points, and confirm that they form a straight line, characteristic of linear equations. The tutorial also includes analyzing other sets of points to determine if they form a graph of a linear equation.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main task described in the introduction of the problem set?

To solve a system of equations

To find solutions to a quadratic equation

To find solutions to a linear equation

To graph a quadratic function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When choosing values for x to find solutions, what is the recommended approach?

Choose prime numbers

Choose multiples of the denominator

Choose random values

Choose even numbers only

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the ordered pair when x is 4 in the equation 1/2x + y = 5?

(4, 2)

(4, 4)

(4, 3)

(4, 1)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when x is 10 in the equation 1/2x + y = 5?

y = 5

y = -1

y = 0

y = 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value when x is 12 in the equation 1/2x + y = 5?

y = -1

y = 1

y = 2

y = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the graph of the linear equation form?

A circle

A parabola

A straight line

A curve

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key characteristic of a linear equation's graph?

It forms a curve

It forms a straight line

It forms a zigzag pattern

It forms a circle

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