Name:______Date:______Period:______

FINAL REVIEW Pre-AP: Slope

1.)Write the equation for the graph given below.

2.)Which of the following is the graph that corresponds to the following equation:

  1. B.

C. D.

3.)Write the equation for the line graphed below.

4.)Given the points: (-8, -9) and (-12, -12) on a line, find the slope.

5.)Find the slope of a line which contains the points (-4, 1) and (4, -3).

6.)Write the equation for the table given below.

7.)The table below shows the amount of water workers at a plant drink per day. Write the equation to determine the number of gallons, g, the workers drink for any given number of days, d.

8.)A plumbing service costs $27.50 per hour for work. Let x represent the amount of time that a job takes and let y represent the total cost. Write an equation to represent the situation. Then state whether it is proportional or non-proportional.

9.)The Pep Club rented a shaved ice machine to sell shaved ice as a fundraiser. They paid an initial fee and then an hourly charge. The table below shows the cost per hour. Determine and interpret the slope and initial value.

10.)The height of the flower is measured for several weeks. The graph below shows the height of the flower for each week. Determine and interpret the rate of change.

11.)Which of the following tables below shows a proportional relationship? Explain your reasoning.

12.)Which of the following situations can be represented by a proportional function?

  1. The number of deer in a population that has 30 deer now, and doubles every year.
  2. The time it takes a truck to travel if it travels 55 miles per hour.
  3. The nightly pay of a valet who earns $50 per night, plus $3 per car parked, as a function of the number of cars parked.
  4. The money raised for a charity race by a runner who pays $10 to enter the race and collects $5 per mile run, as a function of distance.

13.)A musical school charges fees according to the equation y = 40x + 30, where y is the total amount charged to the student, and x is the number of hours. What is true about the fees?

  1. The fees are proportional and the rate is $30 per hour.
  2. The fees are proportional and the rate is $40 per hour.
  3. The fees are non-proportional and the rate is $30 per hour.
  4. The fees are non-proportional and the rate is $40 per hour.

14.)A plane takes off at 2:30pm and climbs to an altitude of 10,000 feet. Over the next two hours, the plane ascended 1150 feet, then hit an air pocket and descended 700 feet. The plane traveled at this altitude for the remainder of the flight. At what level was the plane flying at for the rest of its flight?

15.) What is the solution to the following inequality?

x – 7 ≤ 9

16.) In 1986 the average price of a gallon of gas was $0.93 cents. In 2007, the average price of a gallon of gas was $2.77. Find the percent change. Round to the nearest percent.

17.) Thomas was a pizza chef. Each pizza pie that he makes has 8 slices. His restaurant allows customers to order quarter, half, or whole pizzas. Thomas received an order for 1 whole pizza, 4 half pizzas, and 5 quarter pizzas. How many slices did they order in total?

18.)Write the following equation in slope intercept form.

3x – y = 1