Modeling Linear Equations

Modeling Linear Equations

8th - 11th Grade

15 Qs

quiz-placeholder

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Modeling Linear Equations

Modeling Linear Equations

Assessment

Quiz

Mathematics

8th - 11th Grade

Practice Problem

Medium

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What does it mean for a line to be horizontal?

A horizontal line has a slope of 0 and can be represented by the equation y = a constant value.

A horizontal line has an undefined slope and can be represented by the equation x = a constant value.

A horizontal line rises from left to right and has a positive slope.

A horizontal line has a slope of 1 and can be represented by the equation y = mx + b.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How can you graph a linear equation?

Find the y-intercept, plot it on the graph, and use the slope to find another point, then draw a line through the points.

Identify the x-intercept and connect it to the origin.

Use a table of values to plot points and connect them with a curve.

Draw a vertical line at the y-intercept and extend it indefinitely.

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

y = 2x + 1

y = 2x - 1

y = 3x + 2

y = x + 3

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What does it mean for a line to have a negative slope?

A line with a negative slope increases as it moves from left to right, indicating that as x increases, y increases.

A line with a negative slope decreases as it moves from left to right, indicating that as x increases, y decreases.

A line with a negative slope is horizontal, indicating that y remains constant as x increases.

A line with a negative slope is vertical, indicating that y increases or decreases without any change in x.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the point-slope form of a linear equation?

y = mx + b

y - y1 = m(x - x1)

y = y1 + m(x - x1)

y - y1 = b(x - x1)

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the significance of the delivery fee in the holiday meal cost equation?

It is a variable cost that increases with the number of people.

It is a fixed cost that does not change with the number of people, represented as the y-intercept in the equation y = 30 + 12.5x.

It is an optional cost that can be waived during promotions.

It is a cost that only applies to large orders over a certain number of people.

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How can you determine if two lines are parallel?

Two lines are parallel if they have the same slope but different y-intercepts.

Two lines are parallel if they intersect at a right angle.

Two lines are parallel if they have different slopes.

Two lines are parallel if they are both horizontal.

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