2.5 apply the distributive property day 2

Focus today: Use the distributive property to simplify algebraic expressions, to include combining “like” terms.

Vocabulary Coefficient (of a variable)2x, 5ab, x think (1)x, -y think (-1)y Like termsterms that have the same variable raised to the same power. 3x and -8x are like terms 5xy2 and xy2are like terms Constant terms - plain numbers – no variable attached. 3x +7, 5y – 5x - 9

terms number variable. Each of these terms is the product of a number and a variable. + – 3 y2 x + – 3 y2 x + – 3 y2 x + – 3 y2 x 3 is the coefficient of y2. y is the variable. –1 is the coefficient of x. x is the variable. variable power. Like terms The constant terms –5 and 3 are also like terms. x2 x2 y3 y3 SIMPLIFYING BY COMBINING LIKE TERMS Each of these terms is the product of a number and a variable. Like terms have the same variable raised to the same power. y2 –x2 + 3y3– 5 + 3 – 3x2 + 4y3 + y

SIMPLIFYING BY COMBINING LIKE TERMS (8 + 3)x 8x + 3x= Use the distributive property. = 11x Add coefficients. 4x2 + 2 – x2= 4x2 – x2+ 2 Group like terms. = 3x2+ 2 Combine like terms. 3 – 2(4 + x) = 3 + (–2)(4 + x) Rewrite as addition expression. = 3 + [(–2)(4) + (–2)(x)] Distribute the–2. = 3 + (–8) + (–2x) Multiply. = –5 + (–2x) Combine like terms and simplify. = –5 – 2x

Focus today: Use the distributive property to simplify algebraic expressions, to include combining “like” terms. Find the perimeter and area for the rectangle. 2x + 5 3 P = A =

SimplifyFocus today: Use the distributive property to simplify algebraic expressions, to include combining “like” terms. -4x – 5x 3x – 4x2 + x -2 - (x + 5) 1 – 4(1 – 2x) 4( 5 – a) – a 9x2 – 4x – 6x2

Focus today: Use the distributive property to simplify algebraic expressions, to include combining “like” terms. Translate the verbal phrase into an algebraic expression, then simplify. Twice the sum of y and seven, increased by three less than y. Four times the difference of w and two, decreased by the sum of 3w and four.

Focus today: Use the distributive property to simplify algebraic expressions, to include combining “like” terms. Assignment : P .99 (#21-24 together) P. 99 (#28 – 36, 40, 41, 45-48) Get in for help if you are struggling

2.5 apply the distributive property day 2

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2.5 apply the distributive property day 2