Rules for Equations
The first thing I need to identify when solving equations is?
The Variable
When multiplying two negative numbers (-), the answer will always be
Positive
421 =
42
8y = 96.
Solve for 'y'
y = 12
How much are tickets if Jordan spent $150 for 6 tickets to the concert?
$25 each
When adding two like numbers that are both negative, the answer will always be
Negative
-11 - 8 =
-19
72 =
49
3y - 13 = 26.
Solve for 'y'
y = 13
If James owes $300 for a car payment, and has $220 in his bank. He gets $8 per hour when he works. How many hours will he need to work to pay this months car payment
10 hours
When combining two integers with different signs, one is a positive (+), the other a negative (-), the answer will always be the sign of....
The larger or bigger number
27 divided by (-9) =
-3
33 =
27
7y + 2y - 9 + 3 = -42
Solve for y.
y = -4
Mr. Orellana is 'five less than one-third my age. My age is 9. How old is Mr. Orellana?
42 years old
Before solving the equation 7y - 4y + 15 - 4 = 31, I need to ....
Combine the Like Terms (7y & -4y and 15 & -4)
11 x (-3) + 7 =
-26
Simplify 64 x 65 x 63
612
12y - 11 - 9 = 4y + 68
Solve for y.
y = 11
Tickets to the art show cost $10 each, and they will need to spend $100 on supplies. How many tickets will they need to sell to make a $500 profit?
60 tickets
10t -100 = 500
When simplifying equations, we use PEMDAS, but when solving, we use
SADMEP (the opposite order of operations)
37 + (3 + 1)2 - 10 x 22 =
13
Simplify (1111 divided by 114) x 112
119
7y - (3y + 15) + 3 = 0
Solve for y.
y = 0
The sum of the measures of the three angles of a triangle is 1800. If the size of each angle is:
y, 2y - 1, and y + 5, what is the measure of y?
440