Unit 2 Prep

Proportional Relationships

100

You ride your bike at a constant speed. In 3 hours, you have ridden 45 miles. How far will you have ridden in 9 hours?

135 miles

200

You purchased 8 gallons of gasoline for $32.24. How much would 11 gallons of gasoline cost?

$44.33

300

What two things do you need to show to prove a relationship is proportional?

It must be arithmetic/linear and go through (0,0)

400

You are creating a recipe that uses 3.5 cups of flour every 5.5 tablespoons of yeast. You want to create a new batch that uses 4.5 cups of flour. How much yeast will you need? Round to the nearest tenth.

7.1 tablespoons of yeast.

Slope

100

Find the slope between (5,8) and (8,13)

5/3

200

A helicopter is 350 feet in the air. After 8.3 seconds, it reaches the ground while descending at a constant rate.  If we were to graph its height compared to time, what would its slope be and what would it mean?

Slope is -42.17. It is descending at 42.17 feet per second.

300

Find the slope between (-3,8) and (5,-2)

-10/8 or -5/4

400

A line goes through (8,3) and (5,y). The slope of that line is 6. What is y?

-15

Slope-Intercept Form

100

You have $50 in your bank account. You are going to put an additional $15 per week. Write an equation in slope intercept form for m the money in your bank account compared to w weeks. 

m=15w+50

200

a=300+150t is an equation which represents your altitude in feet during a hike after t hours. What is the slope of the equation and what does it mean?

Slope is 150. You are gaining 150 feet of elevation per hour.

300

You begin tracking a plant's growth. After 3 months of tracking, it was 13.8 inches tall. After 7 months of tracking, it was 22.2 inches tall. Write an equation to model the height in inches h of the plant after m months.

h=2.1m+7.5

400

A balloon is expelling air at a constant rate. 3 seconds after it began deflating, it had 17.09 cubic inches of air left. 11 seconds after it began deflating, it had 12.53 cubic inches of air left. Write an equation that models the amount of air a in the balloon after t seconds. 

a=-.57t+18.8

Standard Form

100

Find the y-intercept of 4x+10y=20

(0,2) 

200

Sketch a graph of -2x+6y=18 by identifying both the x and y intercepts.

x-int: (-9,0) 

y-int: (0,3)

Teacher will verify if your graph looks correct.

300

Apples cost $6.00 per pound and bananas cost $2.50 per pound. You want to spend $45 on fruit. Write an equation that represents how many pounds of apples (a) and pounds of bananas (b) you can purchase.

6a+2.5b=45

400

Create an equation in standard form with x-intercept (-2,0) and y-intercept (0,5)

Answers may vary. Easiest example is -5x+2y=10

Horizontal and Vertical Lines

100

Write the equation for the line with a slope of 0 and a y-intercept of (0,4)

y=4 or y=0x+4

200

Create an equation for a line with an undefined slope that goes through (2,8)

x=2

300

A line with undefined slope goes through (8,7) and (h,k). Give an example of possible values of h and k.

(8,whatever)

400

Create an equation for a line that is perpendicular to y=3 and goes through the point (6,8)

x=6