# PO D Use mental math to solve: basicadvanced 8 × 34 8(30) + 8(4) 240 + 32 272 7 × 231 7(200) + 7(30) + 7(1) 1400 + 210 + 7 1617.

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PO D Use mental math to solve: basicadvanced 8 × 34 8(30) + 8(4) 240 + 32 272 7 × 231 7(200) + 7(30) + 7(1) 1400 + 210 + 7 1617

PODPOD Write the expression in simplest form: 4p −7 + 6p +10 4p + (-7) + 6p +10 4p + 6p + (-7) + 10 10p + 3

PODPOD Write the expression in simplest form: -5x + 3 + 7x − 8 -5x + 3 + 7x + (-8) -5x + 7x + 3 + (-8) 2x + 3 + (-8) 2x + (-5)

Simplify Algebraic Expressions When addition or subtraction signs separate an algebraic expression into parts, each part is called a term. The numerical factor of a term that contains a variable is called a coefficient of the variable.

Like terms contain the same variables to the same powers. For example 3x and 7x are like terms. So are 8xy 2 and 12xy 2. A term without a variable is called a constant.

-4x + 12 + x three terms constant like terms

6n − 7n − 4 + n example Identify the terms:6n, 7n, 4, n Identify the like terms:6n, 7n, n Identify the coefficients:6, 7, 1 Identify the constants:4

An algebraic expression is in simplest form if it has no like terms and no parenthesis. Example: Write 4y + y in simplest form 4y + y = 4y + 1y multiplicative identity property; y=1y 5y

Write 7x − 2 − 7x + 6 in simplest form 7x − 2 − 7x + 6 = 7x + (-2) + (-7x) + 6 Definition of subtraction = 7x + (-7x) + (-2) + 6 Commutative Property = (0)x + 4 = 0 + 4 = 4 Multiplicative Property of Zero

Whiteboard time Identify the terms, like terms, coefficients, and constants in each expression. 9y − 4 − 11y + 7 terms: 9y, 4, 11y, 7 like terms: 9y and -11y, -4 and 7 coefficients: 9, 11 constants: 4, 7

Identify the terms, like terms, coefficients, and constants in each expression. 3x + 2 − 10 − 3x terms: 3x, 2, 10, 3x like terms: 3x and 3x, coefficients: 3, 3 constants: 2, 10

Write the expression in simplest form 4z − z 4z − 1z 3z

Write the expression in simplest form 6 − 3n + 3n 6 − 0 6

Write the expression in simplest form 2g − 3 + 11 − 8g 2g + (-3) + 11 + (-8g) 2g + (-8g) + (-3) + 11 -6g + 8 2g + (-8g) + 8

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