Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #4841 : Algebra 1

Expand:

Possible Answers:

None of these answers

Correct answer:

Explanation:

To expand the equation, you can use the FOIL method, which distributively multiplies each individual term within both binomials. This gives you , or .

Example Question #4842 : Algebra 1

Simplify the following using the distributive property:

Possible Answers:

Correct answer:

Explanation:

The first step is to distribute (multiply) the through the the parentheses. Multiplying a positive and negative number together results in a negative number, while multiplying two negative numbers results in a positive number:

The next step is to combine the two like terms that have the variable :

This cannot be simplified further and is the correct answer.

Example Question #4843 : Algebra 1

Simplify .

Possible Answers:

Correct answer:

Explanation:

This problem can be solved using the FOIL method.  We first multiply the first terms, then the outside terms, then the inside terms, then the last terms.  Doing this, we get:   

Example Question #28 : Distributive Property

Expand and combine like terms.

 

Possible Answers:

Correct answer:

Explanation:

Using the FOIL distribution method:

First: 

Outer: 

Inner: 

Last: 

Resulting in: 

Combining like terms, the 's cancel for a final answer of:

Example Question #3 : Foil

Expand and combine like terms.

Possible Answers:

Correct answer:

Explanation:

Using the FOIL distribution method:

First: 

Outer: 

Inner: 

Last: 

Resulting in: 

Combining like terms, the 's cancel for a final answer of:

Example Question #31 : Distributive Property

Expand and combine like terms.

Possible Answers:

Correct answer:

Explanation:

Using the FOIL distribution method:

First: 

Outer: 

Inner: 

Last: 

Resulting in: 

Combining like terms, the 's combine for a final answer of:

Example Question #31 : Distributive Property

Expand and combine like terms.

Possible Answers:

Correct answer:

Explanation:

Using the FOIL distribution method:

First: 

Outer: 

Inner: 

Last: 

Resulting in: 

Combining like terms, the 's combine for a final answer of:

Example Question #32 : Distributive Property

Expand and combine like terms.

Possible Answers:

Correct answer:

Explanation:

Using the FOIL distribution method:

First: 

Outer: 

Inner: 

Last: 

Resulting in: 

Combining like terms, the 's combine for a final answer of:

Example Question #4844 : Algebra 1

Expand and combine like terms.

Possible Answers:

Correct answer:

Explanation:

Using the FOIL distribution method:

First: 

Outer: 

Inner: 

Last: 

Resulting in: 

Combining like terms, the 's combine for a final answer of:

Example Question #34 : Distributive Property

We usually use the FOIL method of distribution for expanding polynomials, but it is actually a property of numbers. Try to solve the product by foiling instead of computing directly.

Possible Answers:

Correct answer:

Explanation:

Using the FOIL distribution method:

First: 

Outer: 

Inner: 

Last: 

Resulting in: 

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