Distributive Property
4(2g - 1)
8g - 4
Combine Like Terms
2x + 4 - 4x - 2
-2x + 2
x + 3 = -27
x = -30
One-Step Inequality. Solve and Graph.
4 < j/8
32 < j
j > 32
Two-Step Equation Word Problem.
Ella is selling cookies for $4 per box. She pays $10 for ingredients. If she earns $66, how many boxes of cookies did she sell?
b = 14 boxes of cookies
-3(4x + 2)
-12x - 6
Combine Like Terms
10x + 4x2 - 6x + 1
4x + 4x2 + 1
One-Step Equation
-4x = 40
x = -10
One-Step Inequality. Solve and Graph.
-3m > 12 (Greater than or equal to)
m < -4 (Less than or equal to)
Two-Step Equation Word Problem.
It costs $5 per game at the bowling alley, plus $2 to rent shoes. If Wayne has $22, how many games can he bowl?
g = 4 games
7(-9m - 3)
-63m - 21
Distribute and Combine Like Terms
3f + 6(8f + 9)
51f + 54
Two-Step Equation
2k - 7 = -5
k = 1
Two-Step Inequality. Solve and Graph.
n/8 + 4 > -2
n > -48
Two-Step Inequality Word Problem.
Steven has $26. He needs to set aside $10 to pay for his lunch next week. If peanuts cost $2 per package, how many packages can Steven buy, at most?
p < 8 packages (Less than or equal to)
-5(c - 7)
-5c + 35
Distribute and Combine Like Terms
2 - 7(x - 1)
9 - 7x
Two-Step Equation
-4c + 8 = -20
c = 7
Two-Step Inequality. Solve and Graph.
-5 < 3p + 1
-2 < p
p > -2
Two-Step Inequality Word Problem.
Megan wants to spend no more than $300 planning a party. She spent $70 on food and wants to buy decorations that are $10 each. How many decorations can she buy?
d < 23 decorations (Less than or equal to)
-(-4h + 3)
4h - 3
Distribute and Combine Like Terms
-5(-2x + 3) +2(4x - 1)
18x - 17
Two-Step Equation
m/-9 - 3 = 6
m = -81
Two-Step Inequality. Solve and Graph.
n/-3 - 15 > -24 (Greater than or equal to)
n < 27 (Less than or equal to)
Two-Step Inequality Word Problem.
The school is planning a dance. They pay $400 to rent a building for the dance. They plan to sell tickets for $15 each. How many tickets will they need to sell if they want to make at least $1495?
t > 73 tickets (Greater than or equal to)