Solving and Evaluating Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

What is the first step to isolate x in the equation y = mx + b?

Back

Subtract b from both sides to isolate the term mx.

Front

If d = 6a + 2c, how do you find d when a = 30 and c = 7?

Back

Substitute a and c into the equation: d = 6(30) + 2(7) = 180 + 14 = 194.

Front

How do you solve for x in the equation x - a = 5?

Back

Add a to both sides to get x = 5 + a.

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by the formula A = lw, where l is the length and w is the width.

Front

Calculate the area of a rectangle with length 13 feet and width 18 feet.

Back

A = 13 * 18 = 234 square feet.

Front

What does it mean to evaluate an equation?

Back

To evaluate an equation means to calculate the value of the variable(s) by substituting known values into the equation.

Front

In the equation x = 7y - 3y, how do you simplify it?

Back

Combine like terms: x = (7 - 3)y = 4y.

Front

If y = 2, what is the value of x in the equation x = 4y?

Back

Substitute y = 2 into the equation: x = 4(2) = 8.

Front

What is the process of solving for a variable in an equation?

Back

The process involves isolating the variable on one side of the equation using inverse operations.