Pre-Algebra Like terms and solving one step equation Flashcard Review

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What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

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How do you solve the equation 4x = -64?

Back

To solve for x, divide both sides by 4. Thus, x = -64 / 4 = -16.

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What is the first step to solve the equation 15 = m - 5?

Back

Add 5 to both sides to isolate m. The equation becomes 15 + 5 = m, so m = 20.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to get the variable alone on one side of the equation, making it easier to solve.

Front

True or False: You can add or subtract any number from one side of an equation without changing the equality.

Back

True. This is known as the Addition Property of Equality.

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Back

To solve for x, subtract 2 from both sides. Thus, x = 6 - 2 = 4.

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What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

How do you simplify the expression 10(3 + b)?

Back

Using the distributive property, 10(3 + b) simplifies to 10*3 + 10*b = 30 + 10b.

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What is the purpose of combining like terms?

Back

Combining like terms simplifies an expression, making it easier to work with and solve.

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What is the equation for the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any number c.