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ACT Math : Algebra

Study concepts, example questions & explanations for ACT Math

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All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #36 : How To Use Foil With The Distributive Property

(2x-9)(x+3)=

Possible Answers:

x^2-3x-27

2x^2-3x-27

2x^2+3x+27

2x^2+3x-27

Correct answer:

2x^2-3x-27

Explanation:

Use the distributive property to FOIL.

(2x-9)(x+3)=2x^2+6x-9x-27

=2x^2-3x-27

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Example Question #37 : How To Use Foil With The Distributive Property

(x-5)(4x+2)=

Possible Answers:

4x^2-18x-10

4x^2+18x-10

x^2-18x-10

4x^2-18x+10

Correct answer:

4x^2-18x-10

Explanation:

Use the distributive property to FOIL.

(x-5)(4x+2)=4x^2+2x-20x-10

=4x^2-18x-10

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Example Question #38 : How To Use Foil With The Distributive Property

(9x-1)(2x+5)=

Possible Answers:

18x^2+43x-5

x^2+43x-5

18x^2+40x-5

18x^2-43x-5

Correct answer:

18x^2+43x-5

Explanation:

FOIL by using the distributive property.

18x^2+45x-2x-5=18x^2+43x-5

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Example Question #39 : How To Use Foil With The Distributive Property

(x-y)(2x+y)

Possible Answers:

2x^2-xy+y^2

x^2+xy-y^2

2x^2-xy-y^2

x^2-xy-y^2

Correct answer:

2x^2-xy-y^2

Explanation:

(x-y)(2x+y)=2x^2+xy-2xy-y^2=2x^2-xy-y^2

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Example Question #40 : How To Use Foil With The Distributive Property

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

Possible Answers:

6x^2-2xy-y^2

3x^2-xy-y^2

6x^2-xy-y^2

6x^2-3xy-y^2

Correct answer:

6x^2-xy-y^2

Explanation:

Use the distributive property to FOIL.

6x^2-3xy+2xy-y^2=6x^2-xy-y^2

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Example Question #41 : How To Use Foil With The Distributive Property

(2x+3)(10x-2)=

Possible Answers:

20x^2-26x-6

20x^2+26x-6

10x^2+26x-6

10x^2+26x+6

Correct answer:

20x^2+26x-6

Explanation:

Use the distributive property to FOIL.

20x^2-4x+30x-6

=20x^2+26x-6

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Example Question #42 : How To Use Foil With The Distributive Property

(x+y)(y+z)

Possible Answers:

y^2+xy+xz+yz

y^2-xy-xz+yz

y+xy+xz+yz

y^2+xy+xz-yz

Correct answer:

y^2+xy+xz+yz

Explanation:

FOIL using the distributive property.

(x+y)(y+z)=xy+xz+y^2+yz

=y^2+xy+xz+yz

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Example Question #43 : How To Use Foil With The Distributive Property

(3x-5)(x+3)

Possible Answers:

3x^2-4x-15

x^2+4x-15

3x^2+4x-15

3x^2+4x+15

Correct answer:

3x^2+4x-15

Explanation:

Use the distributive property to FOIL.

3x^2+9x-5x-15

Simplify.

3x^2+4x-15

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Example Question #44 : How To Use Foil With The Distributive Property

Use FOIL to expand

(x+2)(x-5)

Possible Answers:

x^2+3x-10

x^2-10

x^2-3x-10

x-3

Correct answer:

x^2-3x-10

Explanation:

To FOIL, simply multiply each term by each term in the other parenthesis. Thus,

x*x+x*(-5)+x*(2)+(-5)(2)=x^2-5x+2x-10=x^2-3x-10

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Example Question #2631 : Act Math

FOIL the following:

(x-2)(x+3)

Possible Answers:

x^2-x-6

x^2+5x-6

x^2+x-6

x^2-x+6

Correct answer:

x^2+x-6

Explanation:

To FOIL, remember the acronym. F-first, O-outside, I-inside, L-last.

Thus, perform the following multiplication.

(x-2)(x+3)

Firsts: $x\cdot x=x^2$

Outside: $x\cdot 3=3x$

Inside: $-2\cdot x=-2x$

Lasts: $-2\cdot 3=-6$

Gathering like terms results in the final equation.

$\\=x^2+3x-2x-6\\=x^2+x-6$

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ACT Math : Algebra

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #36 : How To Use Foil With The Distributive Property

Example Question #37 : How To Use Foil With The Distributive Property

Example Question #38 : How To Use Foil With The Distributive Property

Example Question #39 : How To Use Foil With The Distributive Property

Example Question #40 : How To Use Foil With The Distributive Property

Example Question #41 : How To Use Foil With The Distributive Property

Example Question #42 : How To Use Foil With The Distributive Property

Example Question #43 : How To Use Foil With The Distributive Property

Example Question #44 : How To Use Foil With The Distributive Property

Example Question #2631 : Act Math

All ACT Math Resources

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