M8U4: Smoot Study Review ELO4A

M8U4: Smoot Study Review ELO4A

by Tonia Smoot

M8U4

Graphing & Writing

Linear equations​

​y=mx+b

​ELO4A:

Calculate and interpret unit rates and slopes given various contexts.

I can determine Unit Rates and Slope from:

• ​Points (ordered pair, solutions on a line...)

• ​Graphs (cartesian plane)

• ​Tables

• ​Equations (y=kx)

• ​Contextual situations

​Finding the slope (rate, unit rate) From Points:

Multiple Choice

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

• 2/11
• 13/2
• 3/10
• 11/2

Multiple Choice

Find the slope of the line that passes through:
(5, -10) and (5, -4)

• undefined
• 0
• - 14/10
• 10/14

Multiple Choice

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

• 0
• Undefined
• -1
• 1

Multiple Choice

Determine the slope.

• m=1/7
• m=-1/7
• m=-7
• m=7

​Find the slope (rate, unit rate) from Table of values:

Multiple Choice

What is the slope of the table?

• -2/1
• -1/2
• 2/1
• 1/2

Multiple Choice

What is the slope?

• -1/5
• -5
• -4
• -6

Multiple Choice

The table shows values that satisfy a linear function. What is the rate of change that is represented by the values in the table?

• $$-\frac{3}{2}$$  

• $$-\frac{2}{3}$$  

• $$\frac{3}{2}$$  

• $$\frac{2}{3}$$  

Multiple Choice

The table lists points that form a line on a coordinate plane. Based on the information in the table, what is the slope of the line?

• slope: m = 4

• slope: m = -0.25

• slope: m = -4

• slope: m = 0.25

Multiple Choice

The table shows the distance a balloon traveled from the ground. The balloon traveled at a constant rate. According to the table, what is the rate of speed the balloon ascent?

• Speed: 3.5 feet/second

• Speed: 4.25 feet/second

• Speed: 3 feet/second

• Speed: 5 feet/second

Multiple Choice

The table shows cookie sales over 25 weeks. What is the slope of the line that can be used to model this data?

• Slope: $$\frac{1}{11}$$

• Slope: 11

• Slope: -11

• Slope: $$-\frac{1}{11}$$

Multiple Choice

The table shows the amount of money Rodrigo saves over several days at his new job. How much money does Rodrigo save per day?

• $120

• $24

• $26

• $10

Multiple Choice

What is the rate of change for the data shown on the table?

• 3

• 2

• 6

• $$\frac{1}{6}$$

Multiple Choice

The table lists points that form a line on a coordinate plane. What is the slope of the line that contains the points shown in the table?

• 6

• 5

• 4

• 10

Multiple Choice

A company sells bottles of vitamin capsules. The table shows the linear relationship between the cost per capsule in cents and the number of bottles ordered. What is the slope of the line that models this situation?

• -5

• 5

• $$-\frac{1}{5}$$

• $$\frac{1}{5}$$
  

Multiple Choice

The table shows the linear relationship between the number of hours Francis worked, x, and the amount of money earned, y. Based on the table, how much did Francis earn per hour?

• $17.50 per hour

• $14.00 per hour

• $35.00 per hour

• $24.50 per hour

Multiple Choice

In order to take aerobics classes at a local gym, a customer must have a yearly membership. According to the table, how much is each aerobics class?

• $5.00

• $15.00

• $7.50

• $22.50

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined

Multiple Choice

Find the slope:

• 2
• -2
• 1/2
• -1/2

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

What direction is an undefined slope?

• horizontal
• vertical

Multiple Choice

Find the slope

• -3/4
• 4/3
• 3/4
• -4/3

Multiple Choice

Find the slope

• 4/5
• 5/4
• -5/4
• -4/5

Multiple Choice

Find the slope

• 2
• -2
• 1/2
• -1/2

Multiple Choice

Find the slope

• 7/3
• 3/7
• -3/7
• -7/3

Multiple Choice

How do you calculate slope using a graph?

• rise over run
• run over rise
• look at the y intercept
• look at the x intercept

Multiple Choice

What is the slope of line 2?

• 1
• -1
• undefined
• 0

Multiple Choice

What is the slope of line 4?

• 2/3
• 3/2
• - 6/4
• - 3/2

​ELO4A:

Calculate and interpret unit rates and slopes given various contexts.

I can compare Unit Rates and Slope from:

• ​From Different Representations

Multiple Choice

Which of the following is an example of a unit rate?

• 16 miles/6 days

• 15 words/30 seconds

• $3.18/1 slice of pizza

• $15.82/two movie tickets

Multiple Choice

If Kevin bought 3 lbs of lettuce for $3.54, how much did the lettuce cost per pound?

• $1.18 per pound

• $1.32 per pound

• $10.62 per pound

• $10.16 per pound

Multiple Choice

If a dog can eat 1/3 of a bag of food in 1/2 week, how many bags of food can the dog eat in 1 week?

• 1/6
• 2/3
• 3/2
• 5/6

Multiple Choice

Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

• $7 per hour
• $6 per hour
• $6.80 per hour
• $17.40 per hour

Multiple Choice

Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?

• 2  ac./hr.
• 1/2  ac./hr.
• 9/24  ac./hr.

Multiple Choice

 Jorge’s printer can print 24 pages in 15 minutes. How many pages can it print  in 1 hour?

• 72 pages
• 48 pages
• 96 pages
• 64 pages

Multiple Choice

Which of the following is NOT a unit rate?

• ^{2 cars}

  1 lane

• 45 miles per hour

• 27 sandwiches in 3 weeks

• 2 tanks of gas

  1 yard

Multiple Choice

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

• 400 miles

• 325 miles

• 575 miles

• 650 miles

Multiple Choice

Who has the greater rate of change?

• CJ has a greater rate of change with 13/2
• Holland has a greater rate of change with 6
• CJ has a greater rate of change with 2/13
• They have the same rate of change.

Multiple Choice

Who has the greater rate of change?

• Smith has the greater rate of change with 5/4
• Harmon has the greater rate of change with 7/2
• Smith has the greater rate of change with 4/5
• They have the same rate of change.

Multiple Choice

Who has the greater rate of change?

• Tyler has the greater rate of change with 2/3
• Aubri has the greater rate of change with 3/2
• Tyler has the greater rate of change with 3/2
• They have the same rate of change.

Multiple Choice

Who has the greater rate of change?

• Troy has the greater rate of change.
• Lucy has the greater rate of change 
• They have the same rate of change

Multiple Choice

Who has the greater rate of change?

• Hunter has the greater rate of change.
• Casey has the greater rate of change 
• They have the same rate of change

Multiple Choice

Who has the greater rate of change?

• Smith has the greater rate of change.
• Harmon has the greater rate of change.
• Macey has the greater rate of change.
• They have the same rate of change

Multiple Choice

Who has the same rate of change?

• Dennis and Kameron have the same rate of change.
• Myriah and Kameron have the same rate of change.
• Dennis and Myriah have the same rate of change.
• They ALL have the same rate of change

Multiple Choice

Which panda is growing faster?

• Mochi

• Kappa

• Mochi

• Jack Black

Multiple Choice

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

• Brandi's luggage weighs more because it weighs 40 lbs per bag.

• Javier's luggage weighs more because it weighs 40lbs per bag.

• Brandi's luggage weighs more because it weighs 30 lbs per bag.

• Javier's luggage weighs more because it weighs 30 lbs per bag.

Multiple Choice

Jason runs at a pace of 7 miles per hour and his friend runs at a pace represented by the equation y = 6x where y is distance in miles and x is time in hours. Who runs faster?

• Jason because he runs at a pace of 6 miles per hour.

• His friend because he runs at a pace of 6 miles per hour.

• Jason because he runs at a pace of 7 miles per hour.

• His friend because he runs at a pace of 7 miles per hour.

Multiple Choice

Which panda was heavier when he was born?

• Mochi because he weighed 2 lbs

• Kappa because he weighed 2 lbs

• Machi because he weighed 5 lbs

• Kappa because he weighed 5 lbs

Multiple Choice

Compare the rates that each rental store charges per hour.

• Water's Edge Rafts has a lower rate because they charge $6 per hour.

• Water's Edge Rafts has a lower rate because they charge $5 per hour.

• Ryan's Rafts has a lower rate because they charge $2.25 per hour.

• Ryan's Rafts has a lower rate because they charge $15.00 per hour.