How to multiply a monomial by a polynomial - PSAT Math

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Question

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

Answer

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Compare your answer with the correct one above

Question

Find the product:

Answer

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Compare your answer with the correct one above

Question

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

Answer

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Compare your answer with the correct one above

Question

Find the product:

Answer

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Compare your answer with the correct one above

Question

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

Answer

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Compare your answer with the correct one above

Question

Find the product:

Answer

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Compare your answer with the correct one above

Question

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

Answer

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Compare your answer with the correct one above

Question

Find the product:

Answer

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Compare your answer with the correct one above

Question

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

Answer

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Compare your answer with the correct one above

Question

Find the product:

Answer

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Compare your answer with the correct one above

Question

Find the product:

Answer

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Compare your answer with the correct one above

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How to multiply a monomial by a polynomial - PSAT Math

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Find the product:

Use the distributive property: Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Find the product: Use the distributive property: When multiplying variables with exponents, add the exponents:

Find the product:

Find the product: Use the distributive property:

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Find the product:

Use the distributive property: Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Find the product: Use the distributive property: When multiplying variables with exponents, add the exponents:

Find the product:

Find the product: Use the distributive property:

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Find the product:

Use the distributive property: Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Find the product: Use the distributive property: When multiplying variables with exponents, add the exponents:

Find the product:

Find the product: Use the distributive property:

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Find the product:

Use the distributive property: Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Find the product: Use the distributive property: When multiplying variables with exponents, add the exponents:

Find the product:

Find the product: Use the distributive property:

If you have a rectangle with a width of and a length of , what is the area of the rectangle?

To find the area of a rectangle, multiply the length times the width. Therefore, you must multiply times . To do that, you must multiply the monomial times each part of the trinomial, like so:

Find the product:

Use the distributive property: Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Find the product: Use the distributive property: When multiplying variables with exponents, add the exponents:

Find the product:

Find the product: Use the distributive property:

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Find the product:

Use the distributive property:

$(4a^2\cdot ab^2)+(4a^2\cdot a^2b)+(4a^2\cdot ac^3)$

When multiplying variables with exponents, add the exponents:

Find the product:

Use the distributive property:

$(5x^3 \cdot x^2)+(5x^3 \cdot 2x)+(5x^3 \cdot 4)$