All Algebra 1 Resources
Example Questions
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?
840mi
42mi
1000mi
1050mi
215mi
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.
25ft3
125ft3
15ft3
10ft3
5ft3
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 #4 : How To Multiply Integers
What is (–16) * (–2)?
8
64
–8
–32
32
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 #71 : Integer Operations
If is an integer, which of the following must be odd?
While all of the answers could result in an odd answer, only guarantees an odd answer. Since any integer multiplied by 2 is even, adding 1 will always give the next consecutive odd integer.
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 #7 : How To Multiply Integers
Example Question #8 : How To Multiply Integers
Example Question #72 : Integer Operations
Evaluate:
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