Definition & Steps
What is another word for variable and give an example?
Letter (any letter in the alphabet)
x + 4 = 12
x = 8
12b + 4 = 28
b = 2
5 (x + 2)
5x + 10
What do you do when you are adding or subtracting integers with the same sign?
Add & Keep the Sign
What is another word for inverse and how do we remove multiplication in mathematics?
Opposite and by doing division
x - 3 = -6
x = -3
5n + 2 = -38
n = -8
-6(9 - 9v)
-54 + 54v
2 + -44 = ????
-42
In your own words, explain the steps to solve two-step equations.
1.) Remove addition and subtraction first by doing the inverse.
2.) Remove multiplication or division next by doing the inverse.
-4 = f/-3
f = 12
-2y - 7 = -3
y = -2
5x + 3(x + 4) = 28
x = 2
Combine the following expression
-n − 10 + 9n − 3
8n - 13
In your own words explain the steps to solve equations using the distributive property.
1.) Simplify using the distributive property.
2.) Combine like terms.
3.) Remove addition or subtraction 1st, and the multiply/divide by doing the inverse.
-12 = -4a
a = 3
y/-4 + 3 = 12
y = -36
-4(y + 3) - 2y = 24
y = -6
15 -72 + (-30) + 10
-77
What are the three factors that makes like terms?
- Constants
- Variables
- Variables and Exponents
f - (-15) = -5
f = -20
When 12 is subtracted from 3 times a number, the result is 24. Find the number.
3x - 12 = 24
+12 +12
3x = 36
x = 12
5(-3p + 7) -5(p - 1) = -60
p = 5
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