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 by performing two inverse operations.

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 and operations.

Front

What does 'seven more than three times a number' translate to in an equation?

Back

It translates to the equation 7 + 3x = 19, where x represents the unknown number.

Front

What does 'four less than six times a number' translate to in an equation?

Back

It translates to the equation 6x - 4 = 14, where x represents the unknown number.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable in a two-step equation, first perform the inverse operation of the constant term (addition or subtraction), and then perform the inverse operation of the coefficient (multiplication or division).

Front

What is the first step to solve the equation 55h + 142 = 362?

Back

The first step is to subtract 142 from both sides of the equation to isolate the term with the variable: 55h = 362 - 142.

Front

What is the total cost equation for Hannah's book order?

Back

The total cost equation is 7.25x + 6.75 = 93.75, where x is the number of books ordered.

Front

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

Back

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

Front

What is the significance of the coefficient in a two-step equation?

Back

The coefficient is the number that multiplies the variable. It indicates how many times the variable is counted in the equation and is crucial for solving for the variable.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the effects of operations applied to the variable, allowing us to isolate the variable and solve the equation.