Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1 : Mathematical Relationships

Evaluate the expression.

Possible Answers:

Correct answer:

Explanation:

Follow the correct order of operations: parenthenses, exponents, multiplication, division, addition, subtraction.

First, evaluate any terms in parenthesis.

Next, evaluate the exponent.

Divide.

Finally, add.

Example Question #2551 : Algebra 1

The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.

Possible Answers:

6.5

13

104

26

52

Correct answer:

52

Explanation:

We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.

Direct variation:

Example Question #4 : Simplifying Radicals

Possible Answers:

Correct answer:

Explanation:
  =    =  

=
=

Example Question #1 : Simplifying Radicals

Simplify the radical.

Possible Answers:

Cannot be simplified further.

Correct answer:

Explanation:

Find the factors of 128 to simplify the term.

We can rewrite the expression as the square roots of these factors.

Simplify.

Example Question #1 : Factoring Radicals

Simplify the radical.

Possible Answers:

Correct answer:

Explanation:

Start by finding factors for the radical term.

We can rewrite the radical using these factors.

Simplify the first term.

Example Question #2552 : Algebra 1

Possible Answers:

Correct answer:

Explanation:

The third root of  is 

and when added to the square root of 64, which is 8, you should get 11.  

Example Question #2553 : Algebra 1

Solve:  

Possible Answers:

Correct answer:

Explanation:

Multiply .

Multiply , but add a zero as a placeholder.

This number would then be .

Add .

The correct answer is:  

Example Question #2554 : Algebra 1

Complete the following operation:

Possible Answers:

Correct answer:

Explanation:

Complete the following operation:

To complete this operation, we can break it into two parts:

Then, we simply need to add the two parts together to get our answer:

So:

Example Question #93 : Real Numbers

If a minor league baseball team played  games in a season and averaged  fans and another team played 5 less games but averaged  more fans, how many more fans over the course of the season did the team with most fans have?

Possible Answers:

The first team had  more fans

The second team had  more fans

The first team had  more fans

The second team had  more fans

The first team had  more fans

Correct answer:

The first team had  more fans

Explanation:

The first step is to find out how many fans each team had over the course of the year.

Team 1: 

Team 2: 

Team 1 had  more fans

Example Question #2555 : Algebra 1

Possible Answers:

Correct answer:

Explanation:

Both integers are positive. We just multiply the two numbers. Answer is .

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