Linear Equation Test Review Period______

Math 8 Name______Linear Equation Test Review Period______

2 1) Graph the equation y   x  5 3

a) What is the slope?

b) What is the y-intercept?

2) Write the equations of the lines graphed below.

3) Write an equation for the values in the table. x 2 6 10 20 y 2 0 -2 -7 4) Find the point of intersection for the following equations.

y  x 1 5 y  x 4

2 5) Write the equation of a line that has a slope of and passes through the point (6, 2). 3

6) Write the equation of a line that passes through the points (2, -9) and (-2, 3)

Applications

7) A cab company charges a $3 initial fee plus $0.50 per mile. a) Complete a table to represent the cost of using this company. Miles driven Cost

b) Write an equation that relates the cost C to the miles driven m.

c) Use your equation to find the cost of a 25 mile trip. 8) Midtown Bowling Center requires bowlers to rent shoes and charges a set price for each game bowled. The Center charges a total of $11.15 for 4 games plus shoe rental and $16.15 for 6 games bowled plus shoe rental.

a) Write this information as an ordered pair using the form (g, C). Where g is the total number of games bowled and C is the total cost.

b) Find the slope using the ordered pairs from step a).

c) What does the slope represent in this situation?

d) Find the y-intercept.

e) What does the y-intercept represent in this situation?

f) Write an equation for the total cost of bowling at Midtown Bowling Center.

9) Tonya is siphoning all the water from a full aquarium to clean it. The graph at the right shows the amount of water left in the aquarium as Tonya siphons the water.

a) Write an equation to represent the amount of water left in the aquarium w after m minutes.

b) Use the equation to determine how much time it will take to empty the tank. 10) The following table shows the relationship between the days and temperatures in two cities Day 1 2 3 4 Joyntville 52 54 56 58 Basthemer Land 87 84 81 78

a) Write an equation describing the temperature T in each city after d days. Joyntville:______Basthemer Land:______

b) After how many days will the two cities reach the same temperature?

c) What will the temperature be on this day?

11) The following table shows a relationship between a person’s height h in inches and their weight w in pounds.

Height (in) 50 55 60 65 68 70 Weight (lbs) 95 100 115 135 155 160 a) Create a scatter plot from the data provided, and insert a line of best fit.

b) Select two points on your line of best fit and find the equation from those two points.

c) Use your equation to predict the height of someone who weighs 200 pounds.