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ISEE Lower Level Math : How to find the distributive property

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Example Questions

Example Question #1 : Distributive Property

Solve the following equation.

$\dpi{100} 3(2-5)=$ ?

Possible Answers:

$\dpi{100} -6$

$\dpi{100} -9$

$\dpi{100} 9$

$\dpi{100} 6$

Correct answer:

$\dpi{100} -9$

Explanation:

$\dpi{100} 2-5=-3$ .

$\dpi{100} 3\times -3=9$

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Example Question #1 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Solve

4(6+3) - 9 =

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to solve:

4(6) + 4(3)= 36 - 9 = 27

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Example Question #2 : Distributive Property

Expand the expression.

(x+2)(3x-5)

Possible Answers:

$3x^{2}+11x+10$

$3x^{2}+x-3$

$3x^{2}+x-10$

$3x^{2}-11x-10$

$3x^{2}-x-10$

Correct answer:

$3x^{2}+x-10$

Explanation:

Use FOIL (first, outer, inner, last) to expand.

First: $(x)(3x)= 3x^{2}$

Outside: (x)(-5) = -5x

Inside: (2)(3x)=6x

Last: (2)(-5) =-10

Sum the four terms into one expression.

$3x^{2}-5x+6x-10$

Simplify by combining like terms.

3x^2+x-10

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Example Question #2 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Simplify the expression:

14x + 28 - 7x + 19

Possible Answers:

7x - 47

7x + 9

7x - 9

7x + 47

54x

Correct answer:

7x + 47

Explanation:

14x + 28 - 7x + 19

=14x- 7x + 28 + 19

$=\left (14- 7 \right )x + 28 + 19$

=7x + 47

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Example Question #3 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Simplify the expression:

17x + 38 - 7x - 13

Possible Answers:

250x

10x + 25

10x - 25

10x - 51

10x + 51

Correct answer:

10x + 25

Explanation:

17x + 38 - 7x - 13

=17x - 7x + 38 - 13

$=\left (17 - 7 \right )x + 38 - 13$

=10x + 25

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Example Question #4 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Use the distributive property to expand:

(-x-2)(2x+3)

Possible Answers:

$-2x^{2}+7x-6$

$2x^{2}-7x-6$

$-2x^{2}-7x-6$

$-2x^{2}-x-6$

Correct answer:

$-2x^{2}-7x-6$

Explanation:

Remember: FOIL (first, outer, inner, last) to expand.

F: $(-x)(2x)= -2x^{2}$

O: (-x)(3) = -3x

I: (-2)(2x)=-4x

L: (-2)(3) =-6

Now you have four terms: $-2x^{2}-3x-4x-6$

Simplify: $-2x^{2}-7x-6$

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Example Question #5 : Distributive Property

Evaluate.

$25 - 2(3 \times 2)$

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

When there is any number next to a set of parentheses the operation is multiplication of that number and anything inside of the parentheses.

Therefore, $2(3 \times 2)$ would be the same as $2(6)\: \: [Since \: 3 \times 2 = 6]$ . The would be multiplied by the since 2(6) is the same as $2 \times 6$ .

The problem becomes $25 - 2 \times 6$ and based on the order of operations the multiplication operation would be solved first. $[2 \times 6 = 12]$

It solves to 25 - 12 = 13 .

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Example Question #6 : Distributive Property

Choose the expression that correctly uses the distributive property to solve:

$5\times (12-8)$

Possible Answers:

$(5\times 12)-(5\times 8)$

$5\times 12-8$

$(5+12)\times (5+8)$

$(5\times 12)-8$

$(5\times 12)+(5\times 8)$

Correct answer:

$(5\times 12)-(5\times 8)$

Explanation:

To properly use the distributive property, multiple the first number by every number in parentheses:

$(5\times 12)-(5\times 8)$

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Example Question #7 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Multiply:

-x(4x+7)

Possible Answers:

4x^2+7x

-4x^2+7x

4x^2-7x

-4x^2-7x

Correct answer:

-4x^2-7x

Explanation:

-x(4x+7)=(-x)(4x)+(-x)(7)=(-4x^2)+(-7x)=-4x^2-7x

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Example Question #9 : How To Find The Distributive Property

Multiply:

(3+x)(2-4x)

Possible Answers:

6-10x-4x^2

6+10x-4x^2

6-14x+4x^2

6+14x+4x^2

Correct answer:

6-10x-4x^2

Explanation:

Solve using the FOIL method:

First: (3)(2)=6

Outside: (3)(-4x)=-12x

Inside: (x)(2)=2x

Last: (x)(-4x)=-4x^2

Add together and combine like terms:

6-12x+2x-4x^2=6-10x-4x^2

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : How to find the distributive property

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #1 : Distributive Property

Example Question #1 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #2 : Distributive Property

Example Question #2 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #3 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #4 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #5 : Distributive Property

Example Question #6 : Distributive Property

Example Question #7 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #9 : How To Find The Distributive Property

All ISEE Lower Level Math Resources

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