Balancing Expressions and Equations

x + 3 = 5

(Which word best describes this)

• Expression

• Equation

• 2

• Inequality

A mathematical sentence that contains the equal sign.

• Equation

• Expression

• Algebra

• Inequality

A combination of numbers and/or variables(letter) AND at least one operation is an

• Equation

• Expression

• Inequality

Ensuring that the expressions on both sides of an equation are equal

• Check Clearing

• Reconciling

• Balancing

• Rearranging

Sort each move as keeping an equation BALANCED or NOT!

Groups:

(a) Balanced

,

(b) Not Balanced

• Adding 3x on both sides

• Multiplying both sides by 1/2

• Subtracting by 5 on the left and adding 5 on the right

To balance an equation, 

• both sides must equal 10

• the right side must be greater

• both sides must be equal

• 3

• 6

• 12

• 9

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

​ (a)  

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

A mathematical statement that contains an equals sign

• Equation

• Expression

• Simplify

• Solution