Translating equations

Front

What does it mean to translate an equation from words to symbols?

Back

Translating an equation from words to symbols involves converting a verbal statement into a mathematical expression or equation that represents the same relationship.

Front

How do you represent 'three times a number' mathematically?

Back

'Three times a number' is represented as 3x, where x is the variable representing the number.

Front

What is the mathematical representation of 'eight less than a number'?

Back

'Eight less than a number' is represented as x - 8, where x is the number.

Front

How do you express 'twelve more than three quarters of a number'?

Back

This is expressed as (3/4)x + 12, where x is the number.

Front

What is the first step in solving the equation 11 - 3x = 44?

Back

The first step is to subtract 11 from both sides of the equation.

Front

How do you solve the equation 2(5x - 2) = 8x?

Back

First, distribute the 2 to get 10x - 4 = 8x, then isolate x by subtracting 8x from both sides.

Front

What does '5 less than a number is 15' translate to in equation form?

Back

It translates to x - 5 = 15.

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and the constant on the other side.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

How do you represent 'is equal to' in an equation?

Back

'Is equal to' is represented by the equals sign '=', indicating that the expressions on both sides of the sign are the same.