Writing Equations

Front

What is the first step to solve the equation 2x + 11 = 23?

Back

Subtract 11 from both sides.

Front

Write an expression for the number of pages the printer can print in m minutes if it prints 10 pages per minute and there were already 35 pages in the tray, with a total of 115 pages printed.

Back

10m + 35 = 115

Front

Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33, given a $15 deposit fee plus $2 for each hour of use.

Back

33 = 2h + 15

Front

If b represents the number of Slaps Jose has, write the equation that represents the number of Slaps Maria has if she has ten less than three times the number of Slaps Jose has.

Back

3b - 10

Front

Write the equation to find the number of meals Mr. Carrillo bought if the total cost of lunch and soda was $41, with meals costing $6.00 each and sodas costing $5.00.

Back

6x + 5 = 41

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first in an equation.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.