Math 1 Warm Up – Part 1

1) What is the prime factorization of 54?

2) Add 1.369 + 2.7 + 7 + 0.01

3) Write as a decimal.

4) Find the missing number:

5) Multiply 9.3 ∙ 7.8

6) Subtract 11 – 3

7) Multiply 4 ∙ 3

Math 1 Warm Up – Part 2

8) Rewrite using exponents: 7 ∙3 ∙5 ∙7 ∙5 ∙7

9) Divide ÷

10) Add 3 + 5

11) Simplify: 7² + 12 ∙ 3

12) Divide 3560 ÷ 2.5

13) What is 35% of 120?

14) Solve: x + 17 = 13

Questions?

Solving Equations

Objective: To review how to solve two-step equations using inverse operations.

equation – states that two expressions are equal.

solution of an equation – is any value of the variable that makes the equation true.

equivalent equations – are equations that have the same solutions.

Properties of EqualityFor any real number a, b, and c

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a – c = b – c

Multiplication Property of Equality

If a = b, then a ∙ c = b ∙ c

Division Property of Equality

If a = b and c ≠ 0, then =

Solving Equations

inverse operations – are operations that “undo” (are the opposite of one another).

To solve an equation: You must first understand how the equation was “BUILT” so you can “UNBUILD” it!

PEMDAS

Solving Equations

Solve and Check.

2y – 3 = 7

Solving Equations

Solve and Check.

-8 = 6a + 2

Solving Equations

Solve and Check.

-x + 8 = 21

Solving Equations

Solve and Check.

3 – 5z = 18

Solving Equations

Solve and Check.

-9 – 4m = 3

Solving Equations

Solve and Check.

= 8

Solving Equations

Solve and Check.

= 8

Solving Equations

Solve and Check.

= 2

Solving Equations

Solve and Check.

- = 13

In class Assignment

In the textbook…

pp. 84

#’s 20-34 even