solve equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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

What is the first step in solving the equation 19 - 2k = 3k - 1?

Back

The first step is to isolate the variable on one side of the equation, typically by moving all terms involving the variable to one side.

Front

What is the error in the following steps? 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20

Back

The error is that instead of adding 3k, they should have subtracted 3k.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move other terms to the opposite side of the equation.

Front

What is the solution to the equation 9 + 3x = 10?

Back

x = 1/3.

Front

How do you write an equation for 'A number is doubled, then 9 is added, and the result is 23'?

Back

The equation is 2x + 9 = 23.

Front

What is the solution to the equation r/1.5 = 2.4?

Back

r = 3.6.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is a variable in mathematics?

Back

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