One Step on Variable Equations

One Step Equation

Review

Equation

• a mathematical sentence stating two expressiosn are equivalent

• HAS an equal sign

• Example: 8r + 5 = 3

• Non Example: 8r + 5

Multiple Choice

Which of the following has an equal sign?

• Equation

• Expression

Solving Equations

• Use INVERSE OPERATIONS to isolate the variable

• Keep the equation balanced by performing the same operation on both sides of the equal sign.

Open Ended

Inverse means _____

Multiple Choice

Write an equation to represent the situation below:

Four friends have dinner and split the bill at the end of their meal.  If the total bill was $60, how much did each friend pay?

• $$\frac{60}{4}=x$$  

• $$\frac{x}{4}=60$$  

• $$4x=60$$  

• $$5x=60$$  

Multiple Choice

Write an equation to represent the situation below:

Laura and Mae participated in a quiz contest. They scored 23 points in all. If Laura scored 9 points, how many points did Mae score?

• $$\frac{x}{9}=23$$  

• $$x-9=23$$  

• $$23-9=x$$  

• $$x+9=23$$  

Multiple Choice

Write an equation to represent the situation below:

Tyler’s grade dropped seven points this semester. Now his grade is a 75. Write an equation to determine what his grade was before it dropped.

• $$7x=75$$  

• $$75-7=x$$  

• $$x+7=75$$  

• $$x-7=75$$  

Multiple Choice

Write an equation to represent the situation below:

Pedro bought 15 tickets to a basketball game. He paid a total of $195. Write an equation to find how much each ticket costs.

• $$15x=195$$  

• $$\frac{x}{15}=195$$  

• $$\frac{195}{15}=x$$  

• $$x+15=195$$  

Multiple Choice

Write an equation to represent the situation below:

Each floor of a hotel room has x rooms. On 8 floors, there are a total of 256 rooms. Write an equation to find how many rooms are on each floor.

• $$8x=256$$  

• $$\frac{x}{8}=256$$  

• $$\frac{256}{8}=x$$  

• $$x+8=256$$  

Multiple Choice

Write an equation to represent the situation below:

A sleeping bag weighs 22 lbs. Your backpack and sleeping bag together weigh 31 pounds. Write an equation to find the weight of each backpack.

• $$22x=31$$  

• $$x-22=31$$  

• $$31-22=x$$  

• $$x+22=31$$