Praxis Math Quiz: Interpret Slope And Intercepts

What this quiz covers

This quiz focuses on Interpret Slope And Intercepts, giving you a quick way to practice the rules, question types, and explanations that matter most for Praxis Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

Question 1

1. $C = 15h$
2. $C = 10h + 15$ (correct answer)
3. $C = 15h + 10$
4. $C = 7.5h + 15$

Question 2

1. The slope is $2$ and the y-intercept is $20$.
2. The slope is $-\tfrac{2}{5}$ and the y-intercept is $4$.
3. The slope is $\tfrac{2}{5}$ and the y-intercept is $-4$. (correct answer)
4. The slope is $\tfrac{5}{2}$ and the y-intercept is $-4$.

Question 3

1. $g(x) = -\tfrac{2}{3}x + 2$ (correct answer)
2. $g(x) = -\tfrac{3}{2}x + 2$
3. $g(x) = \tfrac{2}{3}x + 2$
4. $g(x) = -\tfrac{2}{3}x + 3$

Question 4

1. $9$ (correct answer)
2. $-7$
3. $5.5$
4. $-3.5$

Question 5

1. The equipment's value decreases by $2,500 each year. (correct answer)
2. The initial purchase price of the equipment was $2,500.
3. The equipment will have no value after 8 years.
4. The equipment's value decreases by $20,000 every 8 years.

Question 6

1. The temperature increases by 5°C per hour. (correct answer)
2. The temperature starts at -4°C at 1:00 PM.
3. The temperature rises by 10°C in the two-hour period.
4. The temperature increases by 0.2°C per hour.

Question 7

1. A temperature of 0°C is approximately equivalent to 30°F. (correct answer)
2. For every 2-degree increase in Celsius, the temperature increases by 30°F.
3. A temperature of 0°F is approximately equivalent to 30°C.
4. For every 1-degree increase in Celsius, the temperature increases by 30°F.

Question 8

1. Company A has a lower initial fee but a higher cost per mile than Company B. (correct answer)
2. Company B has a lower initial fee and a lower cost per mile than Company A.
3. Company A has a higher initial fee and a higher cost per mile than Company B.
4. Company B has a higher initial fee and a higher cost per mile than Company A.

Question 9

1. The y-intercept would decrease. (correct answer)
2. The slope of the line would decrease.
3. The x-intercept would increase.
4. Both the slope and y-intercept would decrease.

Question 10

1. For every adult ticket sold, two fewer student tickets must be sold to meet the revenue goal. (correct answer)
2. The price of a student ticket is half the price of an adult ticket.
3. The total number of tickets that must be sold to reach the goal is 200.
4. For every two student tickets sold, one fewer adult ticket must be sold to meet the revenue goal.

Question 11

1. The D-intercept is 300, representing the initial distance from the destination. (correct answer)
2. The slope is 60, representing the rate at which the distance is increasing.
3. The t-intercept is 300, representing the total time the trip will take.
4. The slope is -300, representing the starting point of the journey.

Question 12

1. The graph shifts vertically upward by 150 units. (correct answer)
2. The graph becomes steeper, with its slope increasing by 150.
3. The graph shifts horizontally to the right by 150 units.
4. The graph becomes less steep, with its y-intercept increasing.

Question 13

1. The car consumes 0.4 gallons of fuel for every 10 miles driven. (correct answer)
2. The car has a fuel efficiency of 25 miles per gallon.
3. The car's fuel tank initially contains 40 gallons of fuel.
4. The car can travel a maximum distance of 160 miles on a full tank.

Question 14

1. The slope is 0, because the cost does not change with the number of hours. (correct answer)
2. The slope is 20, because the cost for parking is always $20.
3. The slope is positive, because the cost is a positive value.
4. The slope is undefined, because the number of hours is not specified.

Question 15

1. The number of months it took for the company's value to reach zero, or break even. (correct answer)
2. The initial value of the company at its founding, which was a debt of $120,000.
3. The rate at which the company's value is increasing per month.
4. The value of the company after 120 months of operation.

Question 16

1. $H = 2t + 250$ (correct answer)
2. $H = 52t + 300$
3. $H = 2t + 350$
4. $H = -48t + 300$

Question 17

1. Both collectibles had the same initial value when they were acquired. (correct answer)
2. Both collectibles are increasing in value at the same rate per year.
3. Both collectibles will have the same value after a certain number of years.
4. The value of both collectibles will eventually reach $500.

Question 18

1. The slope would increase to 3.00. (correct answer)
2. The F-intercept would increase to 2.75.
3. The slope would decrease to 2.50.
4. The F-intercept would increase to 5.25.

Question 19

1. The company's profit increases by $50 for each widget sold. (correct answer)
2. The company has a fixed cost or initial loss of $2,000.
3. The company's profit increases by $100 for every 2 widgets sold.
4. The company must sell 40 widgets to cover its fixed costs.

Question 20

1. The slope $m_1$ is positive and the slope $m_2$ is negative. (correct answer)
2. Both slopes are positive because volume cannot be negative.
3. Both slopes are negative because the scenarios involve water levels.
4. The slope $m_2$ is greater than the slope $m_1$.