algebraic expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power. For example, in 2x + 3x, you combine to get 5x.

Front

What is the value of 2x + 3 when x = 4?

Back

2(4) + 3 = 8 + 3 = 11.

Front

What is the coefficient in the expression 7y + 2?

Back

The coefficient is the number in front of the variable. In this case, the coefficient of y is 7.

Front

What is the constant in the expression 5x + 10?

Back

The constant is the term without a variable. In this case, the constant is 10.

Front

Evaluate the expression 3a + 2b when a = 2 and b = 3.

Back

3(2) + 2(3) = 6 + 6 = 12.

Front

What is the result of simplifying the expression 4x - 2x + 5?

Back

4x - 2x + 5 = 2x + 5.

Front

What does it mean to evaluate an expression?

Back

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

Front

What is the value of 5^2?

Back

5^2 = 25.

Front

What is the distributive property?

Back

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