Solving Equations Review

Like terms must have _____________________________________ and _________________________.

• same variable and same power or exponent

• same variable and number

• exponent and number

• same variable and the same sign

Tags

CCSS.6.EE.A.4

What should you do first when solving equations?

• Eliminate the parentheses

• Combine like terms

• Isolate the variable

• Whatever you do to one side do to the other.

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5
• Subtract 5
• Multiply by 7
• Subtract 7

Tags

CCSS.7.EE.B.4A

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

So how do you know when it is "infinitely many" solutions?

• The constants are the same on both sides of the equal sign.

• The constants are the different on both sides of the equal sign.

• The variables are the same w/ different constants.

• The variables are the same w/ same constants.

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.8

How do you know when it is "no solution"?

• The constants are different on either side of the equal sign.

• The constants are the same on either side of the equal sign.

• The variables all cancel out.

• Both sides are the same

Tags

CCSS.6.EE.B.5

-6a -15 = -3(a - 7)

• one solution

• no solution

• infinitely many

• a = 12

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

3 - 7t = -5t + 3 - 2t

• infinitely many

• no solution

• one solution

• t = 8

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve:
-4x = 24

• 20
• -20
• 6
• -6

Tags

CCSS.6.EE.B.7