13 + X = 35
X = 22
5x + 9 = 44
X = 7
X + 4 > 10
X > 6
X - 7 ≥ 12
X ≥ 19
The first step in solving an equation with a number outside the parenthesis.
Draw your arrows! (Distribute)
27 - p = 11
p = 16
-6(4 - X) = -6
X=3
X − 7 ≤ 2
X ≤ 9
−3x + 7 ≤ 16
X ≥ -3
What do you box in when solving an equation?
The Variable
5x = 125
X = 25
3.5(x + 10) = 45.5
X=3
7x ≤ 49
X ≤ 7
2/5x − 4 > 6
X > 25
When solving an inequality and dividing by a negative, you must
Flip your sign.
X/-4 = 6
X=-24
-1/2(X - 6) = 4
X = -2
X/-4 ≥ 3
X ≤ -12
−2(x − 3) ≥ 10
X ≤ −2
True or False:
When distributing, I can distribute to one term.
False
Molly buys 7 identical notebooks for her school. The total cost of the notebooks is $28.42. How much did each notebook cost?
Write AND solve an equation that matches the story.
Equation: 7x=28.42
Solution: X = 4.06
-2/3(X + 9) = -8
X = 3
A movie theater charges $6 per ticket. Jordan has at most $30 to spend on tickets. How many tickets can Jordan buy?
Write the inequality AND solve.
Inequality: 6x ≤ 30X
X ≤ 5
1/3(2x − 9) < 5
X < 12
True or False:
What I do to one side of an equation, I must also do to the other side.
True