GP - Solve One-Step Equations

​Solve One-Step Equations

OBJECTIVE: To understand and apply the steps needed to solve one step equations

Open Ended

In Algebra, letters take the place of numbers.

Why do you think it makes sense to use variables in that way?

​Variable: any letter or symbol that represents a changeable or unknown value.

​

​Vocabulary

​4x + 2

​x is the variable

🔲+ 2 = 8

​Examples: x + 2 = 8

​Vocabulary

​Example: 4x + 2

​

​Example: -7x - 14

​(2 is the constant)

​(-14 is the constant)

​Constant: a fixed value, a number on its own, whose value does not change. Positive or Negative

​Coefficient: the number multiplied by the variable. It is located in front of the variable.

​

A coefficient may either be positive or negative.

​Vocabulary

​4×🔲 + 2

​(4 is the coefficient)

​(-8 is the coefficient)

​Example: 4x + 2

​

​​Example: -8x + 3

MEANS

Dropdown

In the expression: 7x - 4, the 4 is a ​

Select answer

, the x is the ​

Select answer

, and the 7 is the ​

Select answer

SUBTRACTION PROPERTY OF EQUALITY

​Subtracting the same number from both sides of an equal sign makes an equivalent equation.

​​x + 10 = 18

​​EXAMPLES

​​23 = x + 10

​​-4 = 8 + x

Dropdown

To solve the equation: -5 = c + 7, you would ​

Select answer

both sides and find that c = ​

Select answer

.

​ADDITION PROPERTY OF EQUALITY

​Adding the same number to both sides of an equal sign makes an equivalent equation.

​​​x - 10 = 18

EXAMPLES

​​​-5 = x - 6

​​​-9 = -8 + x

Dropdown

To solve the equation: 7 = c - 3, you would ​​

Select answer

both sides and find that c = ​​

Select answer

.

​DIVISION PROPERTY OF EQUALITY

Dividing both sides of an equal sign by the same number makes an equivalent equation.

​2x = 8
2 ⋅ x = 8
2 ⋅ 🔲 = 8

​91 = -7x

​EXAMPLES

​-24 = 4x

Multiple Choice

Given the equation: -9b = -14, what would you do to both sides to get b by itself?

• Add 9 to both sides

• Divide both sides by 9

• Add 14 to both sides

• Subtract 14 from both sides

• Divide both sides by -9

​MULTIPLICATION PROPERTY OF EQUALITY

Multiplying both sides of an equal sign by the same number makes an equivalent equation.

EXAMPLES

Math Response

Solve: $$\frac{x}{6}=2$$

Type answer here

Correct Answer: 12

Deg^°

Rad