Algebra Midterm Practice (3)

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, in the expression 3x + 5x, both terms are like terms because they both contain the variable x.

Front

Evaluate the expression x^2 + 5 - x when x = 5.

Back

25

Front

What is the first step in solving the expression -12 ÷ 6 (-3) + 8?

Back

The first step is division.

Front

What is f(5) for the function f(x) = 2(x - 7)?

Back

-4

Front

Solve for a in the equation 12a = 107.

Back

a = 107/12.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with numbers.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a by each term inside the parentheses.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

Front

What is the purpose of combining like terms?

Back

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