The Distributive Property
Distribute the following equation:
3(4x + 5y)
Write an algebraic expression that represents the sum of x squared and 21.
What is x2 + 21?
Are the following expression equivalent? Prove it!
4x + 24y
4(x +8y)
What is...No! 4 times 8y does not equal 24y.
Select all expressions that represent the product of two factors. (*=multiplication dot)
A. 82 * x B. 6( 7x=4)
C. 5x +7x +5b D. 4* (3x+2)
Fill in the missing blanks:
____ (5 + 2x) = 20 + _____
What is 4, and 8x?
Write an expression that shows the factor 4 multiplied with the quantity x plus 4
What is 4(x +4)
Select all expressions that are equivalent to 5 (2x +4)
A. 10x +8 B. 4 (2x +5)
C. 2 (5x +10) D. 10x +20
What is C and D?
An equivalent expression to 15a +4b can be written as the sum of four terms. The first two terms are 8a and 2b.
Write the third and fourth terms that will result in 15a + 4b when added together.
What is 7a and 2b?
Create an equivalent expression using the distributive property:
36x + 9y
What is:
3 (13x + 3y)
9 (4x + 1y)
Write an equivalent expression by combining like terms:
4x+6y+3+x+y
What is 5x+7y+3?
What is _______ (many answers will work!)?
Select all expressions that contain 4 terms.
A. 3x-8y+6y+2y B. 3 (4x+4) +3
C. 9x+ (3w- 2) -4 D. 8 * (4+5)
What is A and C?
Distribute the following equation:
7 (12x + 3y)
What is 84x + 21y?
Write an algebraic expression that represents the product of the factor 3 and the quantity x plus 4
What is 3 (x+4)?
Are the following expression equivalent? Prove it!
4(7x +3y)
2 (14x + 6y)
What is...Yes! The factor was divided by two, therefore both numbers inside the parenthesis doubled by two.
An equivalent expression to 16k+12r can be written as the product of two factors. One of the factors is 4.
Write the second factor that will result in the product 16k + 12r when multiplied.
What is 4 (4k+3r)?
Fill in the missing blanks in the following equation:
6 ( ____ + 4y) = 12x + _____
What is 2x and 24y?
Write an algebraic expression that represents three times the difference of y and 8.
What is 3 (y-8)?
Select all expressions that are equivalent to x+x+4+6x+4
A. 8 (x+1) B. 10x +8
C. 8x +8 D. 2x +2x +4x+8
What is A, C and D?
Consider the expression 7a+2b+a+a+4b
Write an expression that shows the sum of exactly two terms that is equivalent to the expression above.
What is 9a + 6b?