Equations with VAriables on Both Sides

Equations with Variables on Both Sides

by Sarah Ulrich

Open Ended

Write something you know about solving equations

Multiple Select

What is the first step in solving

10x+50 = -20x + 140

• Combine like terms

  10x -20x = 140+50

• Subtract 10x from both sides

• Divide by 10

• Add 20x to both sides

Fill in the Blanks

Finish solving the problem

10x + 50 = -20x + 140

Multiple Choice

-2x - 1 = -4x + 3

• x = 4

• x=-2

• x = 2

• x = -1

Fill in the Blanks

10x + 35 + 15 = -20x + 140

Open Ended

Which person is earning money? Which person is losing money?

​Setting up an equation:

• ​The number that repeats goes next to the x (per, each, times, of)

• ​The number that happens once is added

​ Money she had - money she loses x = Money he had + money he earns

Multiple Choice

Which is the correct equation? 

• 824 - 2x = 14 + 79x

• 824 + 2x = 14 + 79x

• 824 + 79  + 2x = 14

• 824x + -2 = 14x + 79

Fill in the Blanks

Solve

824 - 2x = 14 + 79x

Multiple Choice

The Magic Carpet charges $90 for installation and $9 per square yard of carpeting.  The Carpeteria’s installation price is $50 but the store charges $13 for each square yard.  For what number of square yards of carpeting will the cost, including installation, be the same for both stores? Set up the equation

• 90 + 9 = 50 -13

• 90 + 9x = 50 + 13x

• 90 - 9x = 50x + 13

• 90x + 9 = 50x + 12

Fill in the Blanks

Solve:

90 + 9x = 50 + 13x

Open Ended

One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. Set up an equation to show for how many miles they will be equal. 

Open Ended

Solve:

.29x + 10 = .35x

Poll

How do you feel? 

• I can do this!

• I can do the problems after they are set up

• I can combine like terms but can't solve equations

• I have no clue

Fill in the Blanks

Nilda has $250 in her savings account.  She plans to save $15 per week from her salary.  Iona has only $200 in her account but can save $20 a week from her paycheck.  How many weeks will it take before the amount in each savings account is the same?

Fill in the Blanks

Pedro opened his account with $710 and withdrew $35 per week.  Maria opened her account with $570 and withdrew $25 weekly.  In how many weeks will their accounts be equal.