Equations
2x+4=10
x = 3
1/2x + 6 = 12
x = 12
3(x + 2)=18
x = 4
Delmy is buying tickets for a concert. The cost of each ticket is $12. She also paid a $5 service fee. If Sarah spent a total of $65, how many tickets did she buy?
5 tickets
To get by itself
isolate
2x-4=10
x = 7
1/3x - 6 = 10
x = 48
3(x - 2)=18
x = 8
Sarah is 4 years older than three times her brother’s age. If Sarah is 13, how old is her brother?
Her brother is 3 years old
To do the opposite operation
Inverse Operation
-2x+4=10
x = -3
5/7x + 7 = 22
x = 21
3(x - 2)= -18
x = -4
The sum of half a number and six will give me a total of ten
What is that number?
The number is 8
The unknown amount is known as
A variable
-2x+4=-10
x = 7
-4/5x - 6 = 14
x = -25
3(x - 2) + 5 + x =19
x = 5
The difference of half a number and six will give me a total of ten
What is that number?
The number is 32
What happens when I multiply or divide a negative integer by a negative integer?
It gives a positive answer
-2x - 4 = -10
x = 3
-4/5x - 6 = -14
x = 10
-3(x - 2) - 5 - x =17
x = -4
Mr. Leak is organizing a group project and needs to distribute a set number of worksheets among 5 students. After distributing the worksheets equally, each student receives the same number of worksheets. Mr. Leak then adds 5 extra worksheets to the pile. In total, the students end up with 11 worksheets. How many worksheets did Mr. Leak originally have?
Mr. Leak originally had 30 worksheets
Instead of dividing, what do we do instead?
Multiply by the reciprocal