Translating Multi step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean to translate a word problem into an equation?

Back

Translating a word problem into an equation means converting the words and phrases of the problem into mathematical symbols and expressions that represent the situation.

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms or distributing any factors.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you represent 'the sum of a number and 4' mathematically?

Back

It is represented as (x + 4), where x is the number.

Front

What does 'five times the sum of a number and 4' look like in equation form?

Back

It is represented as 5(x + 4).

Front

What is the difference between an expression and an equation?

Back

Expressions do not have an equal sign, while equations do have an equal sign.

Front

How would you write 'four times the sum of 8 and half a number' as an equation?

Back

It is written as 4(8 + c/2).

Front

What does 'three times the sum of a number and ten' translate to in equation form?

Back

It translates to 3(x + 10).

Front

What is the solution to the equation 5(2x + 4) = 7?

Back

To solve, first distribute: 10x + 20 = 7, then isolate x.