Math 8 Spring Review

The equation y = 180 + 5x represents the amount a school club will pay a T-shirt company for custom T-shirts, where x represents the number of T-shirts purchased and y represents the total cost in dollars. The equation y = 10x represents the club’s income from selling the T-shirts, where y represents the money earned in dollars and x represents the number of T-shirts sold. The graph represents this situation. Select the statement below that is NOT true about the graph.

• the club will break even when 35 shirts are sold

• the club will break even when 36 shirts are sold

• the club will make money when more than 35 shirts are sold

• the club will lose money when less than 35 shirts are sold

Which of the following best describes the meaning of the slope of the line representing this situation?

• The cruise ship travels at a speed of about 3 miles per hour

• The cruise ship travels at a speed of about 10 miles per hour.

• The cruise ship travels at a speed of about 1.5 miles per hour.

• The cruise ship travels at a speed of about 15 miles per hour.

The graph on the right shows the relationship between the altitude of an airplane and the distance it travels while it is descending. Which statement best describes the rate of descent (slope) of this line?

• The altitude decreases by 500 feet every mile

• The altitude decreases by 1000 feet every mile.

• The altitude decreases by 1 foot every 500 miles.

• The altitude decreases by 1 foot every 1000 miles

Tables in a restaurant can be combined to seat people as shown in the arrangement below. Which equation represents the relationships between the number of seats available, s , and the number of tables, t ?

• s = t + 2

• s = 2t + 6

• s = 2t + 4

• s = 6t + 2

This table shows the relationship between time, in minutes, and the number of steps Joel took on a stair-climbing machine. If Joel took steps at a constant rate, which equation represents the relationships between the time, t, and the number of steps taken, S?

• s = 80t

• s = t + 80

• s = 160t + 2

• s = 240t + 2

Both tables represent the total cost, t, for the number of months, n, at a sports club membership. The table on the top shows their regular prices, the one on the bottom shows their January Sale prices. Which statement best describes the savings given during the month of January?

• The cost per month decreases by $50

• The cost per month decreases by $20 and there’s no sign up fee.

• The sign up fee decreases by $20

• There is no sign up fee in January

Petit Chat cat salon charges $35 for each cat-grooming session. Pretty Kitty cat salon charges a one-time fee of $20 and $25 for each cat-grooming session. Which equation represents when the cost is the same for both salons?

• 35x + 20 = 25x

• 35x + 20 = 20 + 25x

• 35x = 20 + 25x

• 35x = 20x + 25

There are two candy machines in a restaurant. One is filled with 200 gumballs and the other is filled with 900 chocolate candies. The gumballs are dispensed 1 at a time and the chocolate candies are dispensed 8 candies at a time. Which equation represents when the machines contain the same number of candies?

• 200 + x = 900 + 8x

• 200 - x = 900 - 8x

• 200x = 900x

• x - 200 = 8x - 900

What is the correct solution for 2/3x = 15 - 1/3x

• 5

• -15

• -1

• 15

What type of slope does the following graph have?

• Postive
• Negative
• Zero Slope
• Undefined

Tags

CCSS.8.EE.B.5