Solve for x

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of the variable x that makes an equation true.

Front

What is the first step in solving the equation 2(4x + 7) + 8x = 50?

Back

Distribute the 2 to both terms inside the parentheses: 8x + 14 + 8x = 50.

Front

How do you combine like terms in the equation 8x + 14 + 8x = 50?

Back

Combine the x terms: 16x + 14 = 50.

Front

What is the next step after combining like terms in the equation 16x + 14 = 50?

Back

Subtract 14 from both sides: 16x = 36.

Front

How do you isolate x in the equation 16x = 36?

Back

Divide both sides by 16: x = 36/16 or x = 2.25.

Front

What is the solution to the equation 5x = 20?

Back

x = 4.

Front

What is the process to solve the equation 5x = 20?

Back

Divide both sides by 5: x = 20/5.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often x or y, that represents an unknown value.

Front

What is the importance of checking your solution after solving an equation?

Back

Checking ensures that the value found satisfies the original equation.