Students will learn how to solve equations using mental math by recognizing that a solution makes the equation true when substituting a number for the variable. The document provides examples of evaluating whether given numbers are solutions to equations and properties like the identity and multiplication by zero properties that are helpful for solving equations mentally. Students are then asked to mentally solve additional equations and write word problems as equations before being asked if they can solve equations using mental math.

1. Learning Target:Students will learn how to solve equations using mental math.

2. Equation: has an = between two expressionsSolution: is when you substitute the number for the variable and it makes the equation true.

3. Tell whether the given number is a solution to the equation.9x = 36 ; 4y – 6 = 11 ; 163x = 39 ; 13

4. 9(4) = 36 36 = 36yes16 – 6 = 1110 11 no3(13) = 3939 = 39yesYou need to prove your answer.

5. We are going to use mental math to solve the equations. Here are some properties that might be helpful to keep in mind.

6. Identity Property of Addition# + 0 = #Identity Property of Multiplication# ( 1 ) = #Multiplication Property of 0# ( 0 ) = 0

7. Solve the equations using mental math.X + 10 = 2413n = 1318 / p = 935y = 0m – 4 = 629q = 54

8. Answers:x = 14n = 1p = 2y = 0m = 66q = 6

9. Write the question as an equation and solve the equation.What number divided by 4 equals 7.What number minus 8 equals 4.

10. Answers:x / 4 = 7x = 28y – 8 = 4y = 12

11. Can you solve equations using mental math?