Vocabulary
What is a symbol used to represent a quantity that can change?
variable
simplify (3x + 7) + (4x - 2)
7x + 5
x - 5 = 14
x = 19
16 - 2x = 5x + 9
x = 1
x + 5 = 30
x = 25
What is the number that is multiplied by the variable in an algebraic equation?
coefficient
(40 + 8x) + (-5x + 4)
3x + 44
2x - 12 = 16
x = 14
10 + 4x = -10 - x
x = -4
2x = 21
(write in decimal form)
x = 10.5
What is the property where you multiply a sum by multiplying each addend separately and then add the products?
distributive property
simplify (1/2x + 5) + (1/2x + 2)
x + 7
6 = 4 - 2x
x = -1
15 + 6x = 45 + 8x
(solve for x)
x= -15
10 = x/2
x = 20
What is any number that can be expressed as a ratio of two integers?
rational number
simplify (x + 4) - (1/3x - 2)
2/3x + 6
15x + 200 = 700
(decimal form)
33.333...
5(x - 2) = 3(x + 4)
x = 11
x/3 = 12
x = 36
What is a decimal that ends/finishes?
terminating decimal
simplify 2/3(6e + 9f - 30g)
4e + 6f - 20g
x/4 + 10 = 36
x = 104
3(x - 6) = 2(5 - 2x)
x = 4
2/3 - x = 5/3
x = -1