Solving Equations

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

Front

How do you solve the equation 4x + 7 = 23?

Back

Subtract 7 from both sides to get 4x = 16, then divide by 4 to find x = 4.

Front

What does it mean to 'solve for x'?

Back

To find the value of x that makes the equation true.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6, found by isolating c on one side.

Front

How do you handle fractions when solving equations?

Back

You can multiply both sides of the equation by the denominator to eliminate the fraction.

Front

What is the solution to the equation x + 5 = 21?

Back

x = 16, found by subtracting 5 from both sides.

Front

What is the importance of checking your solution in an equation?

Back

To ensure that the value found satisfies the original equation.

Front

How do you solve for a in the equation a + 2 = -2?

Back

Subtract 2 from both sides to find a = -4.

Front

What is the process for solving an equation with variables on both sides?

Back

Move all variables to one side and constants to the other side.

Front

What does it mean if an equation has no solution?

Back

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