01.22 Solving Equations

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

• Find the constant

• Find the coefficient

• Find the value of the variable

• Get rid of the variable

Tags

CCSS.7.EE.B.4A

What is the first step you should take to solve this equation:

 $-11-3x=44-2x$  

• Add 3 to both sides

• Isolate the variable on one side

• Subtract 11 from both sides

• Divide both sides by -3

Tags

CCSS.6.EE.B.7

What is the first step you should take to solve this equation:

 $3\left(x-2\right)=2x+7$  

• Add 2 to both sides

• Use distributive property to get rid of the parentheses

• Isolate the variable on one side

• Subtract 7 from both sides

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

Check all steps that you would need to take to solve this equation:

 $4x-2=-2x+16$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.

Check all steps that you would need to take to solve this equation:

 $4x+7-2x=18-3x$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.

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

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

Tags

CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.7

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

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 to both sides

Tags

CCSS.7.EE.B.4A

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Tags

CCSS.HSA.REI.A.1

What is the error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

Tags

CCSS.HSA.REI.A.1

Where is the first mistake?

• Distribution of the 5

• Distribution of the 10

• subtracting 60x from both sides

• dividing by -50

Tags

CCSS.HSA.REI.A.1