Literal Equations & Word Problems Practice

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often used to express relationships between quantities.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What does it mean to solve for a variable?

Back

Solving for a variable means finding the value of that variable that makes the equation true.

Front

What is the first step to solve the equation y = mx + b for x?

Back

Subtract b from both sides of the equation.

Front

If Scott charges $35 plus $7 per hour, how would you represent Kylie's car bill of $63 as an equation?

Back

7x + 35 = 63, where x is the number of hours.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the equation 8x + y = 16 to slope-intercept form?

Back

Rearrange to y = -8x + 16.

Front

What is the solution for x in the equation x = by + v?

Back

x is expressed in terms of y and v.

Front

How do you solve the equation m - n = 5 for m?

Back

Add n to both sides to get m = 5 + n.

Front

What is the purpose of rearranging equations?

Back

Rearranging equations helps to isolate variables and solve for unknowns.