Distributive Property - ACT Math
Card 0 of 549
Which of the following is the product of 
?
Which of the following is the product of
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
.
From there, combine the like terms 
to get 
.
Therefore the product becomes,
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
From there, combine the like terms
Therefore the product becomes,
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The expression 
is equivalent to .
The expression
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
Compare your answer with the correct one above
The expression 
is equivalent to:
The expression
Use the grid method to FOIL.
Combine the like terms.
Use the grid method to FOIL.
Combine the like terms.
Compare your answer with the correct one above
Which of the following is the product of ?
Which of the following is the product of
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
.
From there, combine the like terms to get .
Therefore the product becomes,
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
From there, combine the like terms
Therefore the product becomes,
Compare your answer with the correct one above
The expression is equivalent to .
The expression
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
Compare your answer with the correct one above
The expression is equivalent to:
The expression
Use the grid method to FOIL.
Combine the like terms.
Use the grid method to FOIL.
Combine the like terms.
Compare your answer with the correct one above
Which of the following is the product of ?
Which of the following is the product of
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
.
From there, combine the like terms to get .
Therefore the product becomes,
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
From there, combine the like terms
Therefore the product becomes,
Compare your answer with the correct one above
The expression is equivalent to .
The expression
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
Compare your answer with the correct one above
The expression is equivalent to:
The expression
Use the grid method to FOIL.
Combine the like terms.
Use the grid method to FOIL.
Combine the like terms.
Compare your answer with the correct one above
Which of the following is the product of ?
Which of the following is the product of
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
.
From there, combine the like terms to get .
Therefore the product becomes,
Using FOIL which stands for the multiplication process between the Firsts, Outers, Inners, and Lasts, we end up with the expression
From there, combine the like terms
Therefore the product becomes,
Compare your answer with the correct one above
The expression is equivalent to .
The expression
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
This question is asking you to multiply two binomials. You can use the grid method for FOIL.
Compare your answer with the correct one above
The expression is equivalent to:
The expression
Use the grid method to FOIL.
Combine the like terms.
Use the grid method to FOIL.
Combine the like terms.
Compare your answer with the correct one above
Expand the following expression:
(B – 2) (B + 4)
Expand the following expression:
(B – 2) (B + 4)
Here we use FOIL:
Firsts: B * B = B2
Outer: B * 4 = 4B
Inner: –2 * B = –2B
Lasts: –2 * 4 = –8
All together this yields
B2 + 2B – 8
Here we use FOIL:
Firsts: B * B = B2
Outer: B * 4 = 4B
Inner: –2 * B = –2B
Lasts: –2 * 4 = –8
All together this yields
B2 + 2B – 8
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What is the product of the two real solutions of x2 + 5x = 6?
What is the product of the two real solutions of x2 + 5x = 6?
x2 + 5x – 6 = 0 factors to (x+6)(x**–**1) = 0.
Therefore, the two real solutions are x = **–**6 and x = 1. Their product is simply **–**6.
x2 + 5x – 6 = 0 factors to (x+6)(x**–**1) = 0.
Therefore, the two real solutions are x = **–**6 and x = 1. Their product is simply **–**6.
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Which of the following is equivalent to (2g – 3h)2?
Which of the following is equivalent to (2g – 3h)2?
Use FOIL: (2g – 3h)(2g – 3h) = 4g2 – 6gh – 6gh + 9h2 = 4g2 – 12gh + 9h2
Use FOIL: (2g – 3h)(2g – 3h) = 4g2 – 6gh – 6gh + 9h2 = 4g2 – 12gh + 9h2
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FOIL: 
FOIL:
By FOIL (First Outer Inner Last), we obtain –8_x_2 – 8_x_ – 6_x_ – 6.
Simplify: –8_x_2 – 14_x_ – 6
By FOIL (First Outer Inner Last), we obtain –8_x_2 – 8_x_ – 6_x_ – 6.
Simplify: –8_x_2 – 14_x_ – 6
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What is the value of (5 + 3_i_)(6 – 2_i_)?
What is the value of (5 + 3_i_)(6 – 2_i_)?
We FOIL the equation to obtain 30 – 10_i_ + 18_i_ – 6_i_2, combining like terms and substituting i_2 = –1, we obtain 36 + 8_i.
We FOIL the equation to obtain 30 – 10_i_ + 18_i_ – 6_i_2, combining like terms and substituting i_2 = –1, we obtain 36 + 8_i.
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Distribute:
Distribute:
FOIL using the distributive property:
FOIL using the distributive property:
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Distribute:
Distribute:
FOIL using the distributive property:
FOIL using the distributive property:
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Distribute: 
Distribute:
To FOIL using the distributive property, multiply the first terms together, then the outer terms, then the inner terms, and finally, the last terms.
To FOIL using the distributive property, multiply the first terms together, then the outer terms, then the inner terms, and finally, the last terms.
Compare your answer with the correct one above