Solving Equations with Variables on Both Sides and Distributing

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. How many additional blinds would need to be installed for the cost of both companies to be the same?

• 3

• 4

• 5

• 6

You rewrote the equation after multiplying the LCD 4 to equal 2x - 20 = 3x + 12 What is the value of x?

Mathematical Equivalence

ON

What is the error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

Where is the first mistake?

• Distribution of the 5

• Distribution of the 10

• subtracting 60x from both sides

• dividing by -50

What is the first step you should take to solve this problem?

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

The goal of solving a one, two, or multi-step equations is to:

• Find the value of the variable

• Find the constant

• Be confused

• Find the coefficient

12k + 15 = 35 +2k

• k = 2

• k = 4

• k = -2

• k = -4

3 ( a + 22 ) = 12a + 30

• a = 8

• a = 2

• a = 4

• a = -2

6x + 5 = 10 + 5x

• x = -5

• x = 6

• x = 4

• x = 5

4(2a + 3) = −3(a − 1) + 31

• a = 4

• a = -2

• a = -4

• a = 2