Two Step Equations Review

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves isolating the variable on one side of the equation.

Front

How do you translate a word problem into a mathematical equation?

Back

To translate a word problem into a mathematical equation, identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols.

Front

What does 'four less than six times a number' mean in mathematical terms?

Back

It means 6 times a variable (x) minus 4, which can be expressed as 6x - 4.

Front

How do you solve the equation 6x - 4 = 14?

Back

To solve 6x - 4 = 14, first add 4 to both sides to get 6x = 18, then divide both sides by 6 to find x = 3.

Front

What does 'seven more than three times a number' mean in mathematical terms?

Back

It means 3 times a variable (x) plus 7, which can be expressed as 3x + 7.

Front

How do you solve the equation 3x + 7 = 19?

Back

To solve 3x + 7 = 19, first subtract 7 from both sides to get 3x = 12, then divide both sides by 3 to find x = 4.

Front

What is the formula to calculate the total cost of items including shipping?

Back

The total cost can be calculated using the formula: Total Cost = (Cost per item * Number of items) + Shipping fee.

Front

How do you set up the equation for the total cost of books ordered?

Back

If each book costs $7.25 and there is a shipping fee of $6.75, the equation is: 7.25x + 6.75 = Total Cost.

Front

What is the first step to solve the equation 7.25x + 6.75 = 93.75?

Back

The first step is to subtract 6.75 from both sides to isolate the term with the variable: 7.25x = 93.75 - 6.75.

Front

How do you interpret the phrase 'the cost of the parts was $142' in an equation?

Back

It indicates that the cost of parts is a constant value added to the variable cost of labor in the equation.