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Answer:
1) 11
2) -8
3) 30
15) 80x - 128
16) 138y
Step-by-step explanation:
For these problems, you will need to use either PEMDAS or distributive property.
PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.
Example of PEMDAS:
2) 8(-3 + 2)
Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.
-3 + 2 = -1 so the problem will now look like:
8 (-1)
Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:
8 × -1 = -8
-8
Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.
Example of distributive property:
2) 8(-3 + 2)
Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:
8 × -3 and 8 × 2
The problem should look like:
-24 + 16
Then solve:
-8
Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.
1)
11(5) - 11(4)
55 - 44
11
3)
6(9) - 4(6)
54 - 24
30
15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*
16(5x - 8)
80x - 128
*You can only combine like terms so this is fully simplified*
16)
23y(2 + 4)
46y + 92y
138y