Expanding Expressions

Front

What does it mean to expand an expression in algebra?

Back

Expanding an expression means to multiply out the factors and simplify the expression, removing parentheses.

Front

What is the distributive property?

Back

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

Front

Expand the expression: 3(x + 4)

Back

3x + 12

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

Expand the expression: -2(3y - 5)

Back

-6y + 10

Front

What is the result of expanding the expression: 5(a + 2b)?

Back

5a + 10b

Front

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

Back

14 + 21x

Front

What is the coefficient in the expression 4x + 7?

Back

The coefficient is 4, which is the number multiplied by the variable x.

Front

Expand the expression: 2(3x + 4y - 5)

Back

6x + 8y - 10

Front

What is the result of expanding: -1(4 - 2x)?

Back

-4 + 2x or 2x - 4