7th 4-4 Expand Expressions

Front

What does it mean to expand an expression in algebra?

Back

Expanding an expression means to multiply out the terms and simplify it, removing any parentheses.

Front

Expand the expression: 2(3x + 4)

Back

6x + 8

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 and simplify: 5(x + 2) - 3(x - 1)

Back

2x + 13

Front

Write an expression for the total cost if an item costs $20 and there is a tax of 5% represented by t.

Back

20 + 0.05t

Front

Expand the expression: 4(2x + 5)

Back

8x + 20

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value.

Front

Expand and simplify: -2(3y - 4) + 5

Back

-6y + 13

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

Expand the expression: 3(x + 4) - 2(x - 1)

Back

x + 14