Vocabulary
An unknown value substituted for a letter
Variable
Distribute
10 (10n + 7)
100n + 70
What inverse operations would solve this equation?
−8𝑥 + 3 = −13
- Subtracting 3 from both sides
Division
- Dividing -8 from both sides
Name the LIKE terms
-7w - 5 + 17w + 15
-7w + 17w
-5 + 15
What inverse operation would love this inequality ?
2𝑦 ≤ −48
Division
Dividing by 2 gets the y by itself on one side
Factor:
66p + 60
Solve for x
2x + 4 = 28
2x + 4 = 28
2x = 24
x= 12
19a - 6b - 17a - 3b + 9b - 2a
19a - 17a - 2a
-6b - 3b + 9b
= 0
Solve and Graph:
2𝑦 − 4 ≤ −28
y≤-12
A mathematical phrase that contains numbers, operations, and/or variables with a total given following an equal sign
Example : 2x = 4
Equation
Distribute
-7 (4 + 3n)
-28 - 21n
Solve for x
3 (2𝑥 + 3) = 39
6x + 9 = 39
6x = 30
x = 5
-2f - 1f - (-6)
-3f + 6
Solve and Graph:
−1 + 7𝑥 > −50
x > -7
A mathematical sentence that shows the relationship between two quantities that are NOT equal.
Ex: y≤-12
Inequality
Factor:
108k - 9
Gina orders a shipment of boba pearls. Each bag weighs 7 kilograms. If the total shipment weighs 56 kilograms, how many bags, b, did she receive?
7b = 56
b = 8 bags
5r + 3q + 8q - r
4r + 11q
Solve and Graph:
−2𝑥 − 1 ≤ 11
x ≥ -12
The property used for inverse operations that states an addition or multiplication problem can be rearranged without affecting the answer
A. Commutative
B. Associative
C. Distributive
D. Identity
Commutative Property
Distribute:
(x + 7) 5 - 4
5x + 35 -4
5x + 31
Bina sold 20 cups of boba tea yesterday for $5 each. She also sold a batch of pastries for $15 total. If her total revenue was $115, how many cups of tea c did she sell?
5c + 15 = 115
c = 20 cups
53t - (-20r) + 17 - 10t
43t + 20r +17
Solve and Graph
x/3 + 7 ≤ 14
x/3 ≤ 7
x ≤ 21