Which of the following graphs represents the equation x = 5?

A vertical line passing through x = 5

A horizontal line passing through y = 5

A diagonal line passing through the origin

A swimming pool has a volume of 8,500 gallons of water. It is being drained at a rate of 500 gallons per hour. What does the independent variable represent?

The independent variable represents the time (in hours).

The independent variable represents the amount of water left in the pool (in gallons).

The independent variable represents the rate at which water is drained (in gallons per hour).

The independent variable represents the total volume of the pool (in gallons).

A swimming pool has a volume of 8,500 gallons of water. It is being drained at a rate of 500 gallons per hour. What does the dependent variable represent?

The dependent variable represents the number of gallons of water remaining in the pool.

The dependent variable represents the rate at which water is drained from the pool.

The dependent variable represents the total time taken to drain the pool.

The dependent variable represents the initial volume of water in the pool.

James is selling chocolate cakes for $12.75 per cake. The total amount of money earned is a function of the number of cakes sold. What does the dependent variable represent in this situation?

The dependent variable represents the total amount of money earned.

The dependent variable represents the number of cakes sold.

The dependent variable represents the price per cake.

The dependent variable represents the type of cake sold.

James is selling chocolate cakes for $12.75 per cake. The total amount of money earned is a function of the number of cakes sold. What does the independent variable represent in this situation?

The independent variable represents the number of cakes sold.

The independent variable represents the price of each cake.

The independent variable represents the total amount of money earned.

The independent variable represents the type of cake sold.

A biology experiment begins with 10 bacteria in a petri dish. The bacteria grow at a rate of 7 bacteria per hour. The number of bacteria in the petri dish is a function of how long the bacteria have been growing. What does the independent variable represent?

The number of hours the bacteria have been growing.

The final population of bacteria.

The temperature of the environment.

Tell whether each equation represents direct variation. If so, what is the constant of variation? y = x

Yes, the constant of variation is 1.

No, it does not represent direct variation.

Yes, the constant of variation is 0.

Yes, the constant of variation is x.

Tell whether each equation represents direct variation. If so, what is the constant of variation? 2x + y = 3

No, it does not represent direct variation.

Yes, the constant of variation is 2.

Yes, the constant of variation is -2.

Yes, the constant of variation is 3.

Tell whether each equation represents direct variation. If so, what is the constant of variation? x - 3y = 0

Yes, the constant of variation is 1/3.

No, it does not represent direct variation.

Yes, the constant of variation is 3.

Yes, the constant of variation is -3.

Given that y varies directly with x, use the specified values to write direct variation equations that relate x and y. Then find the value of y when x = -5.

Equation: y = (1/8)x; When x = -5, y = -5/8.

Equation: y = (8)x; When x = -5, y = -40.

Equation: y = (1/5)x; When x = -5, y = -1.

Equation: y = (5)x; When x = -5, y = -25.

Given that y varies directly with x, use the specified values to write direct variation equations that relate x and y. Then find the value of y when x = -5.

Equation: y = (-1/4)x; When x = -5, y = 1.25.

Equation: y = (1/4)x; When x = -5, y = -1.25.

Equation: y = (4)x; When x = -5, y = -20.

Equation: y = (-4)x; When x = -5, y = 20.

Given that y varies directly with x, use the specified values to write direct variation equations that relate x and y. Then find the value of y when x = -5.

Equation: y = (2/5)x; When x = -5, y = -2.

Equation: y = (5/2)x; When x = -5, y = -12.5.

Equation: y = (2/5)x; When x = -5, y = 2.

Equation: y = (5/2)x; When x = -5, y = 2.5.

A company can produce 25 backpacks for $$2000 while the production of 95 backpacks costs $$ 4800. Write an equation which expresses the cost as a linear function of the number of backpacks produced. Hint: Write the equation in point-slope form and then rearrange to slope-intercept form.

y - 2000 = (40/7)(x - 25) or y = (40/7)x + 857.14

y - 4800 = (25/70)(x - 95) or y = (25/70)x + 2000

y - 2000 = (70/40)(x - 25) or y = (70/40)x + 857.14

y - 4800 = (40/7)(x - 95) or y = (40/7)x + 2000

What do the dependent and independent variables represent in the scenario where a company can produce 25 backpacks for $2000 while the production of 95 backpacks costs $4800?

The dependent variable is the cost, and the independent variable is the number of backpacks produced.

The dependent variable is the number of backpacks produced, and the independent variable is the cost.

Both variables represent the cost.

Both variables represent the number of backpacks produced.

A used Chevy Tahoe costs $$8000 if it is 8 years old and $$ 12,500 if it is 5 years old. Since the vehicle’s value changes at a constant rate, the cost can be modeled as a linear function of the vehicle’s age. Write an equation describing the cost of a used Chevy Tahoe which depends only on the Tahoe’s age.

y - 8000 = -1500(x - 8) or y = -1500x + 20000

y - 8000 = 1500(x - 8) or y = 1500x - 4000

y - 12500 = -1500(x - 5) or y = -1500x + 20000

y - 12500 = 1500(x - 5) or y = 1500x - 4000

Identify the x and y intercepts of the line shown in the graph.

x intercept: -4, y intercept: 4

x intercept: 4, y intercept: -4

Topic 3 Review

Authored by Karen Hermonat

Mathematics

9th Grade

CCSS covered

Used 2+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following lists the four different types of slope?

Positive, Negative, Zero, Undefined

Positive, Negative, Perpendicular, Parallel

Increasing, Decreasing, Constant, Variable

Acute, Obtuse, Right, Straight

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the rate of change for the line represented by the following table:

The rate of change (slope) is -4.

The rate of change (slope) is 4.

The rate of change (slope) is 2.

The rate of change (slope) is -2.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope of the line that contains the points (3, -5) and (5, 4).

The slope is 4.5.

The slope is -4.5.

The slope is 0.5.

The slope is -0.5.

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the rate of change of the line that contains the points (12, 2) and (0, 8).

The rate of change (slope) is -0.5.

The rate of change (slope) is 0.5.

The rate of change (slope) is 1.

The rate of change (slope) is -1.

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope for the line represented by the following table:

The slope is 1/3.

The slope is 2/3.

The slope is 1/2.

The slope is 3/2.

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope of the line from the graph.

The slope is -1/4.

The slope is 1/4.

The slope is 4.

The slope is -4.

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope of the line from the graph.

The slope is 2/3.

The slope is 3/2.

The slope is -2/3.

The slope is -3/2.

Tags

CCSS.8.EE.B.5

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Topic 3 Review

Which of the following lists the four different types of slope?

Find the rate of change for the line represented by the following table:

Find the slope of the line that contains the points (3, -5) and (5, 4).

Find the rate of change of the line that contains the points (12, 2) and (0, 8).

Find the slope for the line represented by the following table:

Find the slope of the line from the graph.

Find the slope of the line from the graph.

Which of the following is the correct equation for the line with a slope of -3/4 and a y-intercept of -3?

Which of the following graphs represents the equation x = 5?

Write the equation in slope-intercept form of the graphed line shown.

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