Writing Two Step Equations & Inequalities from Word Problems

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 represent a word problem as an equation?

Back

Identify the variables, translate the words into mathematical operations, and set up the equation based on the relationships described in the problem.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates that the value can be equal to or greater than a certain number, represented by the symbol ≥.

Front

What does 'no more than' mean in an inequality?

Back

'No more than' indicates that the value can be equal to or less than a certain number, represented by the symbol ≤.

Front

How do you solve the equation 7x + 35 = 63?

Back

Subtract 35 from both sides to get 7x = 28, then divide by 7 to find x = 4.

Front

What is the first step to solve the inequality 125x + 55 < 600?

Back

Subtract 55 from both sides to isolate the term with x, resulting in 125x < 545.

Front

How do you interpret the equation 6x + 7 = 331?

Back

This equation represents the total number of students, where 6x is the number of students on the buses and 7 is the number of students traveling in cars.

Front

What is the significance of the constant term in an equation?

Back

The constant term represents a fixed value that does not change, affecting the overall solution of the equation.

Front

How do you convert a word problem into an inequality?

Back

Identify the variable, determine the relationship described (greater than, less than, etc.), and express it mathematically.

Front

What does the variable represent in the equation 3p + 5.5 ≤ 10?

Back

In this equation, p represents the number of pounds of vegetables that can be purchased.