Equivalent Expressions 1
Equivalent or not Equivalent?
4(3n+2) 12n + 2
Not Equivalent
Use distributive properties for the following expression
24 + 4(2x+3) - 12
24-8x
Ashley is preparing for her birthday giveaways. In each back she add 2 blue lollipops that cost b dollar, 3 red lollipops that cost r dollar, and 4 yellow lollipops that cost y dollars. She is expecting 12 friends to her party. How much money will Ashley spend for all the packets?
12(2b + 3r + 4y)
Factor
each number that is being multiplied in a multiplication
5 . 5 . 5 . 5 + Z + Z + Z
54 + 3z
Equivalent or Not Equivalent?
14s + 12 2(7s+12)
Not Equivalent
Use distributive properties for the following expression
36 - 12x + 6(2x - 6)
0
A rectangle has a height of 7 meters and base of 8 meters. What would be the perimeter of the rectangle if the base is increased x meters?
Perimeter: Addition of the length of all sides.
7 + (8+x) + 7 + (8+x) or
14+16+2x or
30+2x
Which strategy should you use to eliminate parenthesis in an expression?
For example: 4(2x + 5) = 8x + 20
Distributive Property
k+k+k+k+k+k
6k
Equivalent or Not Equivalent?
25t + 15x - 30 5(5t+3x+6)
Not Equivalent
45 + 9(5t + 9s) - 54
45t + 81s - 9
Chris and Titan are buying fruit. Chris is buying 3.5lb of oranges and 2 lb of bananas. Titan is buying 4 lb of oranges and 3 lb of bananas. Write an expression that shows what Chris and Titan are buying.
7.5o + 5b
What property we use when we change location of the terms within an expression without changing its value
Commutative Property
r . r . r . r . r
r5
Find the equivalent expression
12.5(4w - 8x)
50w - 100x
102 + x(2x + 4y)
102 +2x2 +4yx
Anna and Katrina are buying fruit to bring to their book club. Anna buys 2.4lb oranges and 0.8lb or cherries. Katrina buys 1.8lb oranges and 1.3lb cherries.
Oranges cost r dollars and cherries cost C dollars per pound. Write an expression with exactly two terms for the total cost of the fruit Anna and Katrina buy.
4.2r + 2.1c
Gathering terms within an expression that have the same variable is called...
combining like terms
(x . x . x ) + m + m + m + m
x3 + 4m
Write the equivalent expression
12(5c + 12x - 7z)
60c + 144x - 84z
2[ 4(2x+4) + 5(2x + 5) + 10(x + y) ]
56x + 82 + 20y
A baker makes 'b' batches of cookies, each with 12 cookies. How many cookies does she make in total?
12b
A combination of numbers, variables, and mathematical operations (like addition, subtraction, multiplication, division) written together without an equal sign, such as 3x + 4t - 12y. is called...
Expression
a + a + a + a + (b . b . b . b) + L + L + L + n . n
4a + b4 + 3L + n2