Monomials

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PSAT Math › Monomials

Questions 1 - 8
1

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

Explanation

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:

2

Find the product:

Explanation

Use the distributive property:

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

3

Find the product:

Explanation

Find the product:

Use the distributive property:

When multiplying variables with exponents, add the exponents:

4

Find the product:

Explanation

Find the product:

Use the distributive property:

5

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

Explanation

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:

6

Find the product:

Explanation

Find the product:

Use the distributive property:

When multiplying variables with exponents, add the exponents:

7

Find the product:

Explanation

Find the product:

Use the distributive property:

8

Find the product:

Explanation

Use the distributive property:

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

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