Vocab
What property allows you to multiply a number by everything inside parentheses?
Distributive Property
x+7=15
x=8
x+4 > 9
x> 5
What should you do first? (think about properties)
5(x+2)=25
Distributive property
What does it mean to combine like terms?
Add or subtract terms that have the same variable and exponent.
3x - 5 = 16
x =7
2x − 3 ≤ 9
x≤6
What property allows us to subtract 2x to both sides?
3x + 4 = 2x + 10
Additon Property of Equality
What property says you can REARRANGE the order of terms when adding?
Commutative Property of Addition
4(x-2) = 20
x=7
−3x > 12
x<−4
With what property can this be simplified with before continuing to solve?
8x − 2x + 24 = 3x + 9
Addition of Like Terms
What property allows you to add or subtract the same amount from both sides of an equation?
Addition Property of Equality
3(x - 4) = 2x + 15
x=3
2x − 7 < −3(x + 4)
x < −1
If you chose this question....
your team gets 0 points...... :(
What property allows you to multiply or divide both sides of an equation to get a variable by itself?
Multiplication Property of Equality
4(m - 3) = 2m + 3 (2m + 1)
m = -15/4
Which inequality matches this number line?
Closed circle at 3, shading to the left.
x ≤ 3
What property helps us in this final step when solving for equation ...
3x =12
Multiplication Property of Equality