GP - Solve One-Step Equations

Presentation

•

Mathematics

•

11th Grade

•

Medium

•

CCSS

6.EE.B.7, 6.EE.B.6, 6.EE.A.2B

Standards-aligned

Christopher Gassler

Used 3+ times

FREE Resource

8 Slides • 6 Questions

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?

Type response here

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

, the x is the

, and the 7 is the

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

both sides and find that c =

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

both sides and find that c =

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

Deg^°

Rad

Solve One-Step Equations

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

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