7.1 The Distributive Property
3(2+6)
Identify the terms, like terms, coefficients, and constants in the following expression.
4a + 6b + 2a - 3b + 5
Terms: 4a, 6b, 2a, -3b, 5
Like terms: 4a and 2a, 6b and -3b
Coeffiecients: 4, 6, 2, -3
Constants: 5
Add.
(2x - 3) + (-4x +7)
Subtract.
(8x + 15) - (2x + 10)
What is 6x + 5?
Find the GCF of each pair of monomials.
60jk, 45jkm
What is 15jk
(3+24)2/3
What is 18?
Simplify the following expression:
6b + 5b
11b
Add.
(7x - 3) + (-2x + 6)
What is 5x + 3
Subtract.
(3x + 4) - (5x - 3)
What is -2x + 7?
Find the GCF of each pair of monomials:
36rst, 64rs
What is 4rs?
4(t+6)
Identify the terms, like terms, coefficients, and constants. Then simplify the expression.
5x + 3y - 2x + 4xy + 6 - 8y -3
Terms: 5x, 3y, -2x, 4xy, 6, -8y, -3
Like terms: 5x and -2x, 3y and -8y, 6 and -3
Coefficients: 5, 2, -2, 4, -8
Constants: 6 and -3
3x - 5y + 4xy +3
Add.
(5x + 4) + (-9x - 6)
What is -4x - 2
Subtract.
(12x + 18) - 3(2x + 4)
What is 6x + 6?
Factor the following expression
24x + 18
What is 6(4x + 3)
4/5(r - 25)
What is 4/5r - 20?
Simplify the following expression:
-3x + 2(x + 3)
What is
-x + 6 ?
Add.
(2x + 3) + 4(2x - 4)
What is 10x - 13
Subtract.
(19x + 15) - 5(3x - 2)
What is 4x + 25?
Factor the expression:
18xy + 24x
What is 6x(3y + 4)
Sarah charges $6.50 per hour to babysit. She babysat for 3 hours on Friday and 5 hours on Saturday. Use the Distributive property to find how much money Sarah made.
What is 6.50(3+6)?
$19.50 +$39
$58.50
Nathan scored x points in his first basketball game. He scored 3 times as many points in his second game. In his 3rd game, he scored 6 more than the second game. Write an expression for each game.
Game 1: x
Game 2: 3x
Game 3: 3x + 6
What is the perimeter of a rectangle that has the width 4.5 inches and a length of (x + 1.5) inches?
What is 2x + 12 inches
Evan plans to download x songs from a music site on the internet. The expression 1.29x represents the cost at website A. The expression 0.25x + 25 represents the cost from website B. How much more will Evan pay from Website A if he downloads an average of 30 songs per month?
What is $6.20?
James has $120 in his savings account and plans to save $x each month for 6 months. The expression $6x + $120 represents the total amount in the account after 6 months. Factor the expression 6x+120.
What is 6(x + 20)