Parts of an Equation
Solving Two-Step Equations
Find an Equation
Find an Equation and Solve for the variable
Hangers and Tape Diagrams
100
A letter used to represent an unknown number
What is a variable?
100

2c + 5 = 17

What is c=6 ?

100

Desiree made 100 cookies this week.  She baked 4 more than three times the total she made last week.  Create an equation to find how many cookies she baked last week.

What is 3x+4=100?

100

Shakira went bowling with her friends.  She paid $3 to rent shoes and then $4.75 for each game of bowling.  If she spent a total of $21, then how many games did Shakira bowl?

What is 4.75x+3=21

x=4 games ?

100

Use the Tape diagram to find an equation and solve for x. 

https://docs.google.com/document/d/1ifH3VAZPQYwgHrEKijjRfKNmSt5tyWkDreISp_5bgl8/edit

What is 4x+17=23 

x=1.5 ?

200
A number right in front of a variable
What is a coefficient?
200

6k - 5 = 43

What is k=8 ?

200

This year, Cornell’s class took one more than three times as many field trips as last year’s class.  This year, Cornell’s class took a total of 7 trips.  Find an equation for how many field trips his class took last year.

What is 3x+1=7 ?

200

Kaya rented a limousine for prom.  There was a one-time charge of $100, plus an hourly rate of $45.  Her total cost for the night was $347.50.  How many hours did Kaya rent the limo for?

What is 100+45x=347.50

x=5.5 hours ?

200

What is  A - 3 , B - 2 , C - 1 ?

300

An example of an inverse operation? 

What is ...

Multiplication to Division, 

Division to Multiplication, 

Addition to Subtraction, 

Subtraction to Addition. 

300

y/9 - 15 = 5

What is y=180 ?

300

At a pizza eating competition, Davonne at two more than twice as many slices as the runner-up.  If Davonne at 11 slices, then find an equation for how many slices the runner-up ate.

What is 2+2x=11 ?

300

James earned a total of $900 last week.  This total was $10 less than five times the amount he earned last week.  How much money did James earn last week?

What is 5x – 10 = 900

x = $182 ?

300

What is 5x+1=36 ?

400

What is the first step in finding/creating an equation using a word problem?

What is identify your variable?

(Let x = ... )

400

1/4(32+x)=4

What is x =-16?

400

Steve is on a weight loss program. His goal weight is 195 pounds. He currently weighs 339 pounds and plans to lose three pounds each week. Find an equation to solve for how long will it take him to reach his goal.

What is 339-3x+195?

400

At McDonald’s, a six-piece Chicken McNuggets and a medium fries have a total of 602 calories. The medium fries have 350 calories. Find the amount of calories in one Chicken McNugget.

What is 6x+350=602

x=42 calories ?

400

Write an equation to represent the hanger and solve for x. 

https://docs.google.com/document/d/1ElSjoR6TTQ88DepO40cAUMSYSA1rDHY-5vJsThyLbnI/edit

What is 5(x+6)=55 or 5x+30=55

x=5 ?

500

Daily Double!!!!

What is a reciprocal, and how is it used? 

What is one divided by a number?

(ex:  8     -    1/8       or         3/4    -     4/3 )

These are used when trying to divide fractions within an equation.  

500

4(5b+63)=732

What is b=24?

500

A hot cup of coffee is 180 degrees F. It loses heat at a rate of 4 degrees F per minute. Find an equation that solves for how long will it take for the coffee to be 70 degrees F.

What is 180-4x=70 ?

500

Mr. Schmidt’s car has a 15.8 gallon gas tank. He pulls into the station with 2.6 gallons left in the tank. If the gas pump pumps 2.2 gallons per minute, how long will it take to fill the tank.

What is 2.6+2.2x=15.8

x= 6 minutes ?

500

Use the tape diagram to find an equation and solve for a.

https://docs.google.com/document/d/1XqhWwFnTIxps_eeiUFnjZSuy67f8o3UOtXasJOqn7xo/edit

What is 3(a+2)=24 or 3a+6=24

a=6 ?

M
e
n
u