One Step Equations Rational Coefficients

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation x + 5 = 12?

Back

To solve for x, subtract 5 from both sides: x = 12 - 5, so x = 7.

Front

What is the coefficient in the equation -2.5b = 20.5?

Back

The coefficient is -2.5, which is the number multiplied by the variable b.

Front

How do you check the solution of an equation?

Back

To check the solution, substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3x = 24?

Back

To solve for x, divide both sides by 3: x = 24 / 3, so x = 8.

Front

What operation would you use to isolate the variable in the equation 5x = 25?

Back

You would divide both sides by 5 to isolate x.

Front

What is the solution to the equation 2x - 4 = 20?

Back

Add 4 to both sides to get 2x = 24, then divide by 2 to find x = 12.

Front

What does it mean for coefficients to be rational?

Back

Rational coefficients are numbers that can be expressed as a fraction of two integers.

Front

How do you solve the equation 4x + 8 = 32?

Back

Subtract 8 from both sides to get 4x = 24, then divide by 4 to find x = 6.

Front

What is the first step to solve the equation -3x = -12?

Back

Divide both sides by -3 to isolate x, resulting in x = 4.