Math Gr 8 Ch 7 SUM: Algebraic Expressions

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What is the definition of an algebraic expression?

An expression that always yields a value of 0

A sequence of operations that can be written in different forms while remaining equivalent (correct)

An expression that only involves addition and subtraction

A single term that contains a variable

What is the purpose of the distributive property in algebra?

To cancel out terms in an expression

To expand expressions by multiplying a single term by each term within a parenthesis (correct)

To simplify expressions by combining like terms

To reorder the terms in an expression

What is the process of combining terms that have the same variable raised to the same power?

Combining like terms (correct)

Expanding expressions

Simplifying expressions

Solving equations

What is the order of operations in algebra?

Parentheses, exponents, multiplication and division, and addition and subtraction Signup and view all the answers

What is a product expression in algebra?

An expression that involves multiplication as the last step Signup and view all the answers

What is the role of flow diagrams in algebra?

To represent the sequence of operations visually Signup and view all the answers

What is the coefficient of a term in algebra?

The numerical part of the term Signup and view all the answers

What is the purpose of simplifying algebraic expressions?

To combine like terms and make the expression easier to work with Signup and view all the answers

What is the result of expanding the expression 2(x + 3)?

2x + 6 Signup and view all the answers

Which of the following expressions is in its simplest form?

4x + 3 Signup and view all the answers

What is the result of simplifying the expression (3x + 2) - (2x - 1)?

x + 3 Signup and view all the answers

Which of the following expressions is equivalent to 2x^2 + 3x - 1?

(2x + 1)(x - 1) Signup and view all the answers

What is the result of expanding the expression 3(2x - 1) + 2?

6x - 3 Signup and view all the answers

Which of the following expressions is a sum expression?

3x + 2x Signup and view all the answers

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

5x - 2 Signup and view all the answers

Which of the following expressions is not in its simplest form?

x + x + 2 Signup and view all the answers

What is the result of expanding the expression $(2x + 1)(x - 3)$?

$2x^2 - 5x - 3$ Signup and view all the answers

Which of the following expressions is equivalent to $3x^2 + 2x - 1$?

$(3x - 1)(x + 1)$ Signup and view all the answers

What is the result of simplifying the expression $(x + 2) + (3x - 1)$?

$4x + 1$ Signup and view all the answers

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

$7x - 4$ Signup and view all the answers

Which of the following expressions is not equivalent to $2x^2 + 3x - 1$?

$(2x + 1)(x + 1)$ Signup and view all the answers

What is the result of simplifying the expression $(2x + 1) - (x - 2)$?

$x + 3$ Signup and view all the answers

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

$5x - 6$ Signup and view all the answers

Which of the following expressions is equivalent to $x^2 + 2x - 3$?

$(x + 3)(x - 1)$ Signup and view all the answers

Which of the following expressions is equivalent to $2x^2 + 5x - 3$?

$2(x^2 + 2x - 1) + 2x$ Signup and view all the answers

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

$x^2 + 5x + 6$ Signup and view all the answers

Which of the following expressions is equivalent to $3x^2 - 2x - 1$?

$3(x^2 - 2x) - 1$ Signup and view all the answers

What is the result of simplifying the expression $(2x + 1) + (3x - 2) + (x + 3)$?

$6x + 2$ Signup and view all the answers

Which of the following expressions is equivalent to $x^2 - 2x + 1$?

$(x - 1)^2$ Signup and view all the answers

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

$6x - 4 + 2x$ Signup and view all the answers

Which of the following expressions is equivalent to $2x^2 + 4x - 3$?

$2(x^2 + 2x - 1)$ Signup and view all the answers

What is the result of simplifying the expression $(3x + 2) - (2x - 1)$?