Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions means to combine like terms and reduce the expression to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

What is the first step in simplifying the expression 8(x+5) - 4(x+4)?

Back

The first step is to distribute the numbers outside the parentheses: 8*x + 8*5 - 4*x - 4*4.

Front

What is the simplified form of 8(x+5) - 4(x+4)?

Back

The simplified form is 4x + 24.

Front

How do you simplify the expression 7 + 3(1 - 2x)?

Back

First, distribute 3: 7 + 3*1 - 3*2x = 7 + 3 - 6x = 10 - 6x.

Front

What is the simplified form of 7 + 3(1 - 2x)?

Back

The simplified form is 10 - 6x.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent.

Front

What is the result of combining the like terms 3x + 2x + 11y - 7y?

Back

The result is 5x + 4y.

Front

What is the sum of the expressions (x+5) + (2x+10)?

Back

The sum is 3x + 15.

Front

What is the definition of an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like + and -) that represents a value.