Exploring 7th Grade Math Concepts from the 2018 STAAR Test

The video tutorial covers various mathematical concepts, including analyzing bar graphs to understand income and expenses, using proportions to calculate scale model dimensions, applying inequalities to real-life situations, calculating areas of inscribed figures, determining cost per item from total cost and change, interpreting data using box plots, understanding relationships among number sets, and solving equations with given values. Each section provides detailed explanations and examples to help students grasp these concepts effectively.

What does an increment of 100,000 units on the graph indicate?

• Each bar on the graph represents 100,000 in sales.

• The total expenses over five years are 100,000.

• The company's income increases by 100,000 every year.

• Each step on the graph's axis increases by 100,000.

What does the combined expenses and income comparison over years three and four reveal?

• Expenses were lower than income in both years.

• Expenses were $300,000 more than income.

• The company broke even in years three and four.

• Income exceeded expenses by $300,000.

How do you calculate the height of the scale model of a sports stadium?

• By adding 30 feet for every 2 inches in the model.

• Using a proportion based on the scale given.

• Dividing the actual height by 2.

• Multiplying the actual height by the scale factor.

What does the inequality 120 ≤ 12K + 29 represent in real life?

• The maximum number of buttons Felicia can collect.

• The minimum number of years Felicia needs to collect 120 buttons.

• The total number of buttons collected over K years.

• The number of buttons Felicia starts with.

How do you find the area of the shaded region in a figure?

• By subtracting the area of the square from the area of the circle.

• Adding the areas of the square and circle.

• Multiplying the area of the square by the area of the circle.

• Dividing the area of the circle by the area of the square.

What does the box plot comparison reveal about the songs' lengths?

• Player X has a wider range of song lengths than Player Y.

• The maximum length of songs is the same for both players.

• Player Y's songs have a smaller interquartile range than Player X.

• The median song length is greater for Player X.

Which set includes both whole numbers and their negative counterparts?

• Whole numbers

• Integers

• Rational numbers

• Natural numbers

What is the correct way to calculate the volume of a square pyramid?

• Dividing the base area by the height

• Adding the base area to the height

• 1/3 times the base area times the height

• Multiplying the base area by the height

What is the result when K = -15 in the given equation?

• K equals -34.

• K equals 12.

• K equals 17.

• K equals -5.

How does the rate of change in Bella's book reading habit relate to the graph?

• It varies depending on the month.

• It shows a decrease over time.

• It suggests an increase in the number of books read each month.

• It indicates a constant rate of three books per two months.