Independent & Dependent Variable
Relationships
Writing Equations from Tables
Writing Equations from Scenarios
Solving Equations/Inequalities
100

Name the dependent variable from the relationship. Distance traveled depends on time.

What is distance

100

From the following scenario: Jack makes $10 an hour working at the grocery store.

Write the relationship in the form of:

 ____________ depends on _______ 


the money made depends on the number of hours worked

100

Look at the table below. Look for a pattern from the left side to the right side, then write an equation. 

hours   miles 

1          40 

2          80 

3          120

m=40h

100

John gets paid $7 an hour working at a local diner. Write an equation to find the total amount he makes, t, after working h, hours.

t= 7h

100

Solve for x:

x+ 5 = 12

x=7

200

James gets paid $5 an hour. Which is the dependent variable, hours worked or money made?

What is money made

200

Write the relationship between days and money in the following scenario: Thomas gets $2 a day working with his granddad after school.

Money depends on days

200

Find the pattern in the table to write an equation. hours (h) miles(m) 

1              10 

2              20 

3              30

m=10h

200

Sarah makes bracelets for extra money. Write an equation to find the total amount she makes, t, after making b, bracelets, if she charges $1.25 a bracelet.

t=1.25b

200

Solve for x:

x - 5 = - 4

x=1

300
Name the independent and dependent variable in the following scenario: Rachel has a stamp collection. On the weekend, she goes and buys 2 more stamps.
Dependent- stamps Independent- number of weekends
300

The amount of fluid ounces left in a soda bottle after a certain number of cups have been poured.

Write the relationship in the form of:

 ____________ depends on _______ 


the amount of soda left depends on the cups poured.

300

Sarah just opened her savings account. She began with $50. Each month she is going to deposit $15. Look at the table below, then write an equation to find the total money saved. 

Months (m) Total saved (t) 

0                $50 

1                $65 

2                $80

t=50+15m

300

A taxi charges an initial fee of $3.00. Then, it is an additional $0.25 per mile. Write an equation to find the total amount paid, t, after riding for m, miles.

t=3.00 + 0.25m

300

Solve for a:

6a < 54

a<9

400

On a graph, which variable (dependent or independent) is placed on the x-axis?

independent variable

400

True or False? When driving, the greater the distance, the more time it takes to get there. This makes distance the dependent variable.

What is False

400

A taxi cab charges $2.00 initially, then $0.10 per mile. Look at the table, then write an equation to find the total cost, t, after riding for m, miles. 

miles   cost 

0         $2 

1         $2.10 

2         $2.20

t= 2.00 + 0.10m

400
Michael read his homework problem: Stacey charges an initial fee of $20 to babysit, then she asks for an additional fee of $5 per hour. Write an equation to find the total amount earned, t, after working h, hours. Michael said that the equation should be t=5 +20h Is he right?
no, should be t=20+5h
400

Solve for c:

8 < c/9  

Write your solution with the variable on the left side.

c > 72

500

I have an equation that states t=0.50d, which variable, t or d, is the DEPENDENT variable?

t because it is by itself. And that's what we are solving for.

500

Zane is training for a marathon. Each week, he is taking 1 minute off his time. If he can run a 10 minute mile now, how many minutes will he run a mile in 4 weeks?

6 minutes

500

Look at the table and write an equation. 

days (d) time(t) 

1            30 

2            45 

3            60

t= 15 + 15d

500
The local diner has world-famous hamburgers. They charge $2.00 for every patty, and $1.25 for every set of hamburger buns. Write an equation to find the total cost, t, after buying a hamburger with p, patties, and b, sets of buns.
t=2.00p + 1.25b
500

Solve for h:

2h +5 = 21

h = 8

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