Distributive Property
Use the distributive property to write the expression in expanded form.
2(a + b)
2a + 2b
Solve algebraically.
5 + x = 30
x = 25
Name the acronym that helps us to remember the correct order of operations
PEMDAS
State whether the inequality is true or false.
12 - 6 < 4
False
The quotient of c and d
c/d
Use the distributive property to write the expression in expanded form.
7(3 + x)
21 + 7x
Solve algebraically.
7v = 56
v = 8
Solve.
14 - 6 x 2
2
State whether the inequality is true or false.
3(4 + 1) < 15
False
The quantity of a plus b divided by 4
(a + b) / 4
Use the distributive property to write the expression in expanded form.
5(2y + 3z)
10y + 15z
Solve algebraically.
w ÷ 4 = 6
w = 24
Solve.
25 ÷ 5 + 4 x 2
State when the inequality is true and when it is false.
g + 4 = 15
True when g = 11
False when g ≠ 11
Corriona can be on her phone for at most 2 hours per day. Write an inequality statement to represent this scenario and state whether the dot would be open or closed on the number line.
c ≤ 2
The dot would be closed.
Use the distributive property to write the expression in factored form.
4k + 8m
4(k + 2m)
Solve algebraically.
(1/2)k = 16
k = 32
Solve.
32 x (6 - 2)
36
State when the inequality is true and when it is false.
1/3x > 5
True when x > 15
False when x ≤ 15
Destiny has lost 4 more teeth than her friend Shaniya. Write an expression to represent the number of teeth Destiny has lost. Let s represent the number of teeth Shaniya has lost.
s + 4
Use the distributive property to write the expression in factored form.
15ac + 13a
a(15c + 13)
Solve algebraically.
4x + 3x + 15 = 85
x = 10
Solve.
15 - (4 + 23) ÷ 3
11
Solve the inequality and state which numbers from the set {3, 4, 7, 10, 12, 18, 32} satisfy it.
1/2x < 5
x < 10
{3, 4, 7}
Ms. Garcia is saving up money to go to a concert. She needs to work at least 8 hours this week to save up enough money. However, she must work fewer than 20 hours. Write an inequality statement to represent the scenario and state whether each dot would be open or closed on the number line.
8 ≤ h < 20
h ≥ 8; h < 20
closed; open