Unit #5 Review (System of Equations & Inequalities)

The graphs of lines k₁ and k₂ are shown on the grid.

What system of equations is best represented by this graph?

Tags

CCSS.8.EE.C.8B

A system of equations is graphed on the grid.

Which system of equations is best represented by the graph?

Tags

CCSS.8.EE.C.8B

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount.

The first customer paid $12 for 14 postcards and 5 large envelopes.

The second customer paid $24.80 for 10 postcards and 15 large envelopes.

The cost of one postcard is (a)   the cost of one large envelope.

The cost of two large envelopes is​ (b)  

• Greater than

• The same as

• Less than
• $2.84
• $0.35
• $0.70

Tags

CCSS.8.EE.C.8C

A mail carrier delivers mail on one of two different routes: a morning rout or an afternoon route. Each work day the mail carrier is assigned one of these two routes.

Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times, for a total distance traveled of 141 miles.

This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times, for a total distance traveled of 123.75 miles.

The distance of the morning route is (a)   the distance of the afternoon route..

The total distance of the delivering two afternoon routes is ​ (b)   miles.

• Greater than
• The same as

• Less than

• 9.5
• 5.25
• 10.5

The Big Bus Company charges a fixed fee of $25 and an additional charge of $0.10 per mile traveled to a destination. The Tiny Taxi Company charges a fixed fee of $35 per trip and an additional $0.05 per mile traveled to a destination. Is there a certain number of miles where the two companies charge the same amount? If so, how many miles were traveled and what was the charge?

• Yes, 700 miles will cost $95.00

• Yes, 700 miles will cost $70.00

• Yes, 200 miles will cost $45.00

• No; the two companies will never charge the same because a $0.05 rate is odd, and a $0.10 rate is even.

Frank and Erica are selling ribbons to raise money for the football team. Frank started with 33 ribbons and sells 1 ribbon every day. Erica started with 24 ribbons and sells 1 ribbon every 2 days. If there a day where both students have the same number of ribbons left to sell? If so, how many days and how many ribbons will it be?

• Yes; day 6 both will have 27 ribbons left

• Yes; day 6 both will have 21 ribbons left

• Yes; day 18 both will have 15 ribbons left

• No; neither student will every have the same number of ribbons left on the same day because Frank's rate is a whole number and Erica's rate is a fraction.

Tags

CCSS.8.EE.C.8C

Which graph best represents a system of equations that has no solution?

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8A

• The system has no solution.

• The system has an infinite number of solutions.

Tags

CCSS.8.EE.C.8B

A manager purchased a total of 224 coffee mugs and key chains. There are 2.5 times as many key chains as coffee mugs. How many coffee mugs and key chains did the manager buy?

• Coffee mugs = 64; key chains = 160

• Coffee mugs = 160; key chains = 64

• Coffee mugs = 90; key chains = 134

• Coffee mugs = 112; key chains = 112

Tags

CCSS.8.EE.C.8C

At the local QT gas station, one shelf is dedicated to selling Fuego Takis and Blue Heat Takis. There are 300 bags of Takis on the shelf. There are 4 times as many bags of Blue Heat Takis as there are Fuego Takis. How many bags of each flavor Takis are on the shelf?

• Blue Heat = 240; Fuego = 60

• Blue Heat = 60; Fuego = 240

• Blue Heat = 215; Fuego = 75

• Blue heat = 225; Fuego =75

Tags

CCSS.8.EE.C.7B