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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4911 : Algebra 1

Distribute and simplify.

(6x+y)(6x-y)

Possible Answers:

36x^2-12xy+y^2

36x^2-12xy-y^2

12x

36x^2+y^2

36x^2-y^2

Correct answer:

36x^2-y^2

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial $\rightarrow 36x^2$

O: Multiply the outer terms from both binomials $\rightarrow -6xy$

I: Multiply the inner terms from both binomials $\rightarrow 6xy$

L: Multiply the last terms in each binomial $\rightarrow -y^2$

Finally, we add them all up and we get 36x^2+-6xy+6xy-y^2 . The plus and minus signs all become minus signs. The middle terms are the same and are cancelled out and simplified to 36x^2-y^2 .

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Example Question #4912 : Algebra 1

Distribute and simplify.

(3x+4)(x-2)

Possible Answers:

3x^2+2x-8

3x^3-10x-8

3x^2+10x-8

3x^2-2x-8

3x^2-8

Correct answer:

3x^2-2x-8

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial $\rightarrow 3x^2$

O: Multiply the outer terms from both binomials $\rightarrow -6x$

I: Multiply the inner terms from both binomials $\rightarrow 4x$

L: Multiply the last terms in each binomial $\rightarrow -8$

Finally, we add them all up and we get 3x^2+-6x+4x+-8 . The plus and minus signs all become minus signs. The middle terms are the same and can be added up and simplified to 3x^2-2x-8 .

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Example Question #4913 : Algebra 1

Distribute and simplify.

(3-x)(x-3)

Possible Answers:

-x^2-9

x^2-9

x^2+6x-9

-x^2+6x-9

-x^2-6x-9

Correct answer:

-x^2+6x-9

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial $\rightarrow 3x$

O: Multiply the outer terms from both binomials $\rightarrow -9$

I: Multiply the inner terms from both binomials $\rightarrow -x^2$

L: Multiply the last terms in each binomial $\rightarrow 3x$

Finally, we add them all up and we get 3x+-9+-x^2+3x . The plus and minus signs all become minus signs. We now have: -x^2+6x-9 .

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Example Question #4911 : Algebra 1

Distribute and simplify.

(7x-3)(x+3)

Possible Answers:

7x^2-18x-9

7x^2-24x-9

7x^2+18x+9

7x^2+24x-9

7x^2+18x-9

Correct answer:

7x^2+18x-9

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial $\rightarrow 7x^2$

O: Multiply the outer terms from both binomials $\rightarrow 21x$

I: Multiply the inner terms from both binomials $\rightarrow -3x$

L: Multiply the last terms in each binomial $\rightarrow -9$

Finally, we add them all up and we get 7x^2+21x+-3x+-9 . The plus and minus signs all become minus signs. The middle terms are the same and simplified to 7x^2+18x-9 .

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Example Question #101 : Distributive Property

Distribute.

3(x+y)

Possible Answers:

3x+y

3xy

3x+3y

x+3y

3+x+y

Correct answer:

3x+3y

Explanation:

When distributing, we multiply the number on the outside with the individual terms inside the parenthesis in order. So first, we multiply and and then since the operation inside the parenthesis is addition, we keep it addition. Finally, we multiply and and we get 3x+3y .

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Example Question #4912 : Algebra 1

Distribute.

4(x-y)

Possible Answers:

4x-y

4-x-y

4x-4y

x-4y

4xy

Correct answer:

4x-4y

Explanation:

When distributing, we multiply the number on the outside with the individual terms inside the parenthesis in order. So first, we multiply and and then since the operation inside the parenthesis is subtraction, we keep it subtraction. Finally, we multiply and and we get 4x-4y .

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Example Question #103 : Distributive Property

Distribute.

-5(x+y)

Possible Answers:

-5x-5y

-5x+5y

-5x+y

5x-5y

x-5y

Correct answer:

-5x-5y

Explanation:

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Example Question #104 : Distributive Property

Distribute.

-8(x-y)

Possible Answers:

8x-8y

8x+8y

x+8y

-8x+8y

-8x+y

Correct answer:

-8x+8y

Explanation:

When distributing, we multiply the number on the outside with the individual terms inside the parenthesis in order. So first, we multiply and and then since the operation inside the parenthesis is subtraction, we keep it subtraction. Finally, we multiply and and we get -8x--8y . Two minus signs become plus sign so our answer is now -8x+8y .

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Example Question #4912 : Algebra 1

Distribute and simplify.

-(2x+3y)(4x+y)

Possible Answers:

-8x^2-14xy+3y^2

-8x^2+14xy+3y^2

8x^2-3y^2

-8x^2-3y^2

-8x^2-14xy-3y^2

Correct answer:

-8x^2-14xy-3y^2

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial $\rightarrow 8x^2$

O: Multiply the outer terms from both binomials $\rightarrow 2xy$

I: Multiply the inner terms from both binomials $\rightarrow 12xy$

L: Multiply the last terms in each binomial $\rightarrow 3y^2$

Finally, we add them all up and we get 8x^2+14xy+3y^2 . Since there is a negative sign, we need to distribute it and finally get -8x^2-14xy-3y^2 .

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Example Question #101 : Distributive Property

Distribute and simplify.

-(x-y)(3-x)

Possible Answers:

-x^2-3x+3y+xy

x^2-3x+3y-xy

x^2-xy

-x^2-xy

-x^2-3x-3y-xy

Correct answer:

x^2-3x+3y-xy

Explanation:

Let's use FOIL to distribute.

F: Multiply first terms in each binomial $\rightarrow 3x$

O: Multiply the outer terms from both binomials $\rightarrow -x^2$

I: Multiply the inner terms from both binomials $\rightarrow -3y$

L: Multiply the last terms in each binomial $\rightarrow xy$

Finally, we add them all up and we get 3x+-x^2+-3y+xy . Since there is a negative sign, we need to distribute it. All the plus and minus sign combinations become minus signs and two minus signs become a plus sign. We finally get x^2-3x+3y-xy .

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #4911 : Algebra 1

Example Question #4912 : Algebra 1

Example Question #4913 : Algebra 1

Example Question #4911 : Algebra 1

Example Question #101 : Distributive Property

Example Question #4912 : Algebra 1

Example Question #103 : Distributive Property

Example Question #104 : Distributive Property

Example Question #4912 : Algebra 1

Example Question #101 : Distributive Property

All Algebra 1 Resources

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