One and two step equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically involving addition, subtraction, multiplication, or division to isolate the variable.

Tags

CCSS.6.EE.B.7

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable, usually involving a combination of addition or subtraction followed by multiplication or division.

Tags

CCSS.7.EE.B.4A

Front

How do you solve the equation x + 5 = 15?

Back

To solve for x, subtract 5 from both sides: x + 5 - 5 = 15 - 5, which simplifies to x = 10.

Tags

CCSS.6.EE.B.7

Front

What is the first step in solving the equation 2x = 20?

Back

The first step is to divide both sides by 2 to isolate x: 2x / 2 = 20 / 2, which simplifies to x = 10.

Tags

CCSS.6.EE.B.7

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation to get the variable alone on one side of the equation, making it easier to solve.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation x - 7 = -8?

Back

To solve for x, add 7 to both sides: x - 7 + 7 = -8 + 7, which simplifies to x = -1.

Tags

CCSS.6.EE.B.7

Front

How do you solve the equation 3x + 4 = 19?

Back

First, subtract 4 from both sides: 3x + 4 - 4 = 19 - 4, which simplifies to 3x = 15. Then, divide both sides by 3 to get x = 5.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 5x = -25?

Back

To solve for x, divide both sides by 5: 5x / 5 = -25 / 5, which simplifies to x = -5.

Tags

CCSS.6.EE.B.7

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution involves substituting the value back into the original equation to verify that both sides are equal, ensuring the solution is correct.

Tags

CCSS.8.EE.C.7B

Front

What is an example of a two-step equation?

Back

An example of a two-step equation is 2x + 3 = 11.

Tags

CCSS.7.EE.B.4A