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Math Gr 8 Ch 7: Expand and Simplify Algebraic Expressions

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24 Questions

What is the result of applying the distributive property to the expression 2(x + 3)?

2x + 6

Which of the following expressions is a product expression?

2(x + 3)

When expanding the expression 3(2x - 1), what is the first step?

Multiply each term inside the parenthesis by the factor outside

What is the result of simplifying the expression $(2x)^2$?

4x^2

What is the result of simplifying the expression $(3x^2)^3$?

27x^6

What is the result of simplifying the expression $\sqrt{x^2}$?

x

What is the purpose of the distributive property in algebra?

To multiply a single term by each term within a parenthesis

What type of expression is (2x + 3x^2)?

Sum expression

What is the final step in expanding an algebraic expression?

Combining like terms

What is the result of applying the square of a product formula to the expression ((2x)^2)?

4x^2

What is the purpose of rearranging terms in an algebraic expression?

To combine like terms

What is the result of simplifying the expression (√x^3)?

x

What is the result of applying the distributive property to the expression $a(2b + 3c - 4d)$?

$2ab + 3ac - 4ad$

What is the result of simplifying the expression $(3x^2 + 2x)(x + 2)$?

$3x^3 + 8x^2 + 4x$

What is the result of simplifying the expression $(2x + 3)(x - 2)$?

$2x^2 - x - 6$

What is the result of simplifying the expression $\sqrt{(2x)^2}$?

$2x$

What is the result of simplifying the expression $(3x^3)(2x^2)$?

$6x^5$

What is the result of simplifying the expression $\sqrt{(3x)^3}$?

$3x$

What is the result of applying the distributive property to the expression $-2(x - 3y + 2z)$?

$-2x + 6y - 4z$

What type of expression is $(2x + 3y)(x - 2y)$?

Product expression

What is the result of simplifying the expression $(2x^2 + 3x)(x - 2)$?

$2x^3 - 7x^2 - 6x$

What is the result of applying the distributive property to the expression $(x + 2)(x - 3)$?

$x^2 - x - 6$

What is the result of simplifying the expression $(3x^2 + 2x)^2$?

$9x^4 + 12x^3 + 4x^2$

What is the result of simplifying the expression $\sqrt{(2x)^3}$?

$2x\sqrt{x}$

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