1. ALGEBRA READINESS Numerical Expressions LESSON 1-1 Lesson 1-1 Warm Up

2. ALGEBRA READINESS Numerical Expressions (1-1) What is a “numerical expression”? How do you simplify a numerical expression? Numerical Expression: a mathematical phrase (number sentence) that contains only numbers and operation symbols To simplify a numerical expression, use the order of operations. To remember the order of operation, remember the acronym P.E.M.D.A.S. which stands for “Please Excuse My Dear Aunt Sally” for: 1. Parenthesis (work within grouping symbols inside out: [i.e. ( ), [ ], { } ] 2. Exponent, 3. Multipliaction and Division (from left to right), and 4. Addition and Subtraction (from left to right) Example:

3. ALGEBRA READINESS Numerical Expressions (1-1) Example: Simplify 24  [6 – (2 2)]. 24  [6 – (2 2)] Given. 24  [6 – (4) ] Parenthesis (Inside) 24  2 Parenthesis (Outside) 12 Divide Example: Suppose you buy the items shown in the store receipt. Write and simplify an expression to find the total cost of the items with tax. 3 $35 + 4 $15 + $11.96Given. $105 + $60 + $11.96PEMDAS. $165 + $11.96PEMDAS. $176.96PEMDAS    

4. ALGEBRA READINESS Simplify 20 – 5 8 ÷ 2. = 0 Subtract. = 20 – 20 Divide 40 by 2. 20 – 5 8 ÷ 2 = 20 – 40 ÷ 2 Multiply 5 by 8. Numerical Expressions LESSON 1-1 Additional Examples

5. ALGEBRA READINESS An Internet service provider charges $25 for a connection fee and then $16 per month. Write an expression to model the total cost for 5 months of Internet access and then evaluate the expression. Words connection fee plus 16 times number of months Equation 25 + 16 x 5 25 + 16 x 5 = 25 + 80 Multiply. = 105 Add. The total cost is $105. The expression is 25 + 16 x 5. Numerical Expressions LESSON 1-1 Additional Examples

6. ALGEBRA READINESS Evaluate each expression. 1. 9 + 5 6 – 72. (12 – 8) 10 ÷ 5 3. (4 62) + (4 85)4. 200 – (99 ÷ 3) 2 32 8 588 134 Numerical Expressions LESSON 1-1 Lesson Quiz