Algebra 1 : Algebra 1
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Example Questions
Example Question #69 : Real Numbers
Subtract the numbers:
Borrow a one from the tens place to subtract the ones digits. The tens digit of 1093 is now eight.
We cannot borrow a one from the hundreds place to subtract eight with nine, so we will need to borrow a one from the thousands place instead. The thousands place of 1093 is now zero, and the hundreds place becomes a nine.
Subtract the tens places.
Subtract the hundreds places.
Combine the hundreds, tens, and ones digits.
The answer is:
Example Question #1 : How To Multiply Integers
Evaluate 5x + 3y when x = 7 and y = 9.
66
–62
8
62
–66
62
Plug in 7 for x and 5 for y, giving you 5(7) + 3(9). This is equal to 35 + 27, which equals 62.
5x + 3y
5(7) + 3(9)
35 + 27 = 62
Example Question #2 : How To Multiply Integers
A plane flies at a rate of 210mi/h. If the plane has flown for five hours, how many miles has it traveled?
215mi
1000mi
1050mi
42mi
840mi
1050mi
Multiply the rate of travel (210 mi/hr) by the time traveled (5 hours), and you get the total distance, 1050 miles.
distance = rate * time
distance = (210mi/hr)(5hr)
distance = 1050mi
Example Question #3 : How To Multiply Integers
Find the volume of a cube that is five feet on each side.
5ft3
15ft3
125ft3
10ft3
25ft3
125ft3
To find the volume of a cube, you cube the side length, raising it to the thrid power. 5 cubed is 125.
(5ft)3 = 5ft*5ft*5ft = 125ft3
Example Question #3 : How To Multiply Integers
What is the square root of 81?
27
–9
40.5
3
9
9
9 * 9 = 81, and thus 9 is the square root of 81. It is true that (–9) * (–9) = 81, but it is a convention that "the square root" refers to the positive value. Had the question asked for "a square root" or "the square roots" of 81, –9 would be acceptable.
Example Question #71 : Integer Operations
What is (–16) * (–2)?
–32
32
–8
64
8
32
When multiplying two negative numbers, the negatives cancel each other out, leaving a positive solution, thus, we can think of (–16)(–2) as (16)(2), which is 32.
(–16) * (–2)
(–1)(16) * (–1)(2)
(–1)(–1) * (16)(2)
(1) * (16)(2)
16 * 2
32
Example Question #5 : How To Multiply Integers
Solve:
None of the available answers
Example Question #4 : How To Multiply Integers
If 
While all of the answers could result in an odd answer, only 
Example Question #6 : How To Multiply Integers
What is 
Multiply the absolute values to get the magnitude of the answer.
Remember the following rules:
Positive * negative = negative
Positive * positive = positive
Negative * negative = positive
Since we are dealing with a positive and a negative, our answer will be negative.
Example Question #5 : How To Multiply Integers
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