Solutions of Equations

Front

What is a solution of an equation?

Back

A solution of an equation is a value that makes the equation true when substituted for the variable.

Front

What does it mean for an equation to be true?

Back

An equation is true when both sides of the equation are equal after substituting the variable with a number.

Front

What is the equation for finding the value of x in 3x = 18?

Back

x = 18 ÷ 3 = 6.

Front

If x + 7 = 15, what is the value of x?

Back

x = 15 - 7 = 8.

Front

What is the difference between an equation and an expression?

Back

An equation contains an equal sign (=) and shows that two expressions are equal, while an expression does not have an equal sign.

Front

What is the first step to solve the equation 2x + 16 = 43?

Back

Subtract 16 from both sides: 2x = 43 - 16.

Front

When is an equation considered false?

Back

An equation is false when substituting the variable does not result in both sides being equal.

Front

What is the solution to the equation 6x + 17 = 29?

Back

x = (29 - 17) ÷ 6 = 2.

Front

What does the term 'variable' mean in mathematics?

Back

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

Front

How do you check if x = 5 is a solution for x + 7 = 15?

Back

Substitute 5 into the equation: 5 + 7 = 12, which is not equal to 15, so it is false.