One-Variable Equations and Inequalities Practice

The video tutorial covers the sixth-grade concept of one-step, one-variable equations and inequalities, focusing on how to write and solve them. Using a problem from the 2016 released STAAR test, the tutorial guides students through solving an inequality involving a budget constraint. Mr. Smith wants to spend a maximum of $50, with a $7 ticket cost, and the tutorial demonstrates how to determine the possible values for additional spending. The solution involves setting up and solving the inequality, ensuring the total does not exceed $50.

What is the main topic discussed in the video?

• Two-step equations

• One-step, one-variable equations and inequalities

• Solving quadratic equations

• Graphing linear equations

What is the maximum amount Mr. Smith wants to spend?

• $60

• $50

• $40

• $70

How much does the ticket to the museum cost?

• $5

• $6

• $7

• $8

After buying the ticket, how much money does Mr. Smith have left?

• $43

• $45

• $47

• $49

What is the inequality used to represent the remaining budget?

• p + 7 ≤ 50

• p + 7 < 50

• p + 7 ≥ 50

• p + 7 > 50

What operation is performed to both sides of the equation to keep it balanced?

• Subtraction

• Addition

• Multiplication

• Division

Which of the following is NOT a correct step in forming the inequality?

• Balancing the equation

• Using fact families

• Adding p to both sides

• Subtracting 7 from 50

What does the inequality p + 7 ≤ 50 represent?

• Mr. Smith can spend exactly $50

• Mr. Smith can spend less than $50

• Mr. Smith can spend more than $50

• Mr. Smith can spend less than or equal to $50

Why is the option p + 7 > 50 incorrect?

• It does not include the cost of the ticket

• It allows spending more than $50

• It allows spending exactly $50

• It allows spending less than $50

What is the correct inequality for Mr. Smith's spending?

• p + 7 ≥ 50

• p + 7 > 50

• p + 7 < 50

• p + 7 ≤ 50