Unit 4b Part 2 Summative Re-take

Front

What is a like term 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.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

What is the first step in simplifying the expression 3 + 5x + 6?

Back

Combine the like terms of 3 and 6 to get 9 + 5x.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

How do you determine if 20x + 4x + 3 and 4(5x + 1) + 3x are equivalent?

Back

Simplify both expressions: 20x + 4x + 3 = 24x + 3 and 4(5x + 1) + 3x = 20x + 4 + 3x = 23x + 4. They are not equivalent.

Front

What is the process for simplifying the expression 5a + 2b - 3a + 4?

Back

Combine like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4.

Front

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 two or more terms inside a parenthesis.

Front

How do you find an equivalent expression for 4(2x + 10)?

Back

Use the distributive property: 4(2x) + 4(10) = 8x + 40.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 18 and 30?

Back

List the factors: Factors of 18 are 1, 2, 3, 6, 9, 18; Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. The GCF is 6.