3.1-3.2 Combine Like Terms Review

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine the like terms in the expression 7 - 5m - 10m?

Back

You combine -5m and -10m to get -15m, resulting in the expression 7 - 15m.

Front

What is the result of combining like terms in the expression 12x + 2 + 3x?

Back

The result is 15x + 2, as you combine 12x and 3x.

Front

How do you evaluate the expression -1 + 2x - 5x + 6 for x = -2?

Back

Substituting x = -2 gives -1 + 2(-2) - 5(-2) + 6 = -1 - 4 + 10 + 6 = 11.

Front

What is the first step in simplifying the expression (-8 + 11x) - (-x + 4)?

Back

The first step is to distribute the negative sign, resulting in -8 + 11x + x - 4.

Front

What is the final simplified form of the expression (-8 + 11x) - (-x + 4)?

Back

The final simplified form is 12x - 12.

Front

What is the importance of keeping track of signs when combining like terms?

Back

Keeping track of signs is crucial because it ensures that you correctly add or subtract the coefficients of like terms, which affects the final result.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They are separate types of terms.

Front

What is the coefficient in the term 7x?

Back

The coefficient in the term 7x is 7, which is the number multiplying the variable x.