How do you simplify the expression $$9x - 7x + 3y$$ ?

To simplify, combine like terms: $$9x - 7x + 3y = 2x + 3y$$ .

What is the factored form of $$3s - 9t - 15$$ ?

The factored form is $$3(s - 3t - 5)$$ .

How do you expand and simplify $$- (1.2x + 7) + 1.5x$$ ?

First, distribute the negative: $$-1.2x - 7 + 1.5x$$ . Then combine like terms: $$0.3x - 7$$ .

What is the result of expanding and simplifying $$10 - 3(2n - 1)$$ ?

Distribute the -3: $$10 - 6n + 3 = 13 - 6n$$ .

How do you factor out the greatest common factor (GCF)?

To factor out the GCF, identify the largest factor common to all terms and divide each term by it. For example, in $$4x + 8$$ , the GCF is $$4$$ , so it factors to $$4(x + 2)$$ .

What does it mean to expand an expression?

Expanding an expression means to remove parentheses by distributing and combining like terms. For example, expanding $$2(x + 3)$$ gives $$2x + 6$$ .

What is the difference between simplifying and factoring?

Simplifying reduces an expression to its simplest form, while factoring rewrites it as a product of factors.

How do you combine like terms in the expression $$5x + 3 - 2x + 4$$ ?

Combine like terms: $$(5x - 2x) + (3 + 4) = 3x + 7$$ .

What is the result of factoring $$x^2 - 9$$ ?

The factored form is $$(x - 3)(x + 3)$$ , which is a difference of squares.

What is a polynomial?

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents. For example, $$2x^2 + 3x - 5$$ is a polynomial.

What does it mean to solve an equation?

Solving an equation means finding the value(s) of the variable that make the equation true.

What is the purpose of using parentheses in algebraic expressions?

Parentheses indicate which operations to perform first in an expression, following the order of operations.

Simplifying, Expanding, and Factoring Algebraic Expressions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What does it mean to factor an algebraic expression?

Back

Tags

CCSS.7.EE.A.1

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.A.1

3.

FLASHCARD QUESTION

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CCSS.7.EE.A.1

4.

FLASHCARD QUESTION

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CCSS.7.EE.A.1

5.

FLASHCARD QUESTION

Front

Back

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CCSS.6.EE.A.3

6.

FLASHCARD QUESTION

Front

What is a like term in algebra?

Back

Tags

CCSS.6.EE.A.2B

7.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

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CCSS.6.EE.A.3

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