Geometry and Algebra Problem Set

This video tutorial covers a range of mathematical concepts for 7th-grade students, including the relationship between circle diameter and area, solving equations with fractions, and various operations and problem-solving techniques. It also delves into reasoning with tape diagrams, solving inequalities, and combining like terms in algebraic expressions.

What is the area of Tyler's circle if its diameter is twice that of Lynn's circle?

• Twice the area of Lynn's circle

• Four times the area of Lynn's circle

• Half the area of Lynn's circle

• Same as the area of Lynn's circle

Which strategy should Jada and Priya use to solve the equation 2/3 + x = 4?

• Multiply each side by 3/2

• Add -2/3 to each side

• Add 2/3 to each side

• Multiply each side by 2/3

How do you find the value of x in the equation 5x + 2 = 17 using a hanger diagram?

• Multiply both sides by 5

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 5

What is the range of the given set of temperatures?

• 22

• 32

• 27

• 17

What is the sale price of a backpack originally priced at $40 with a 30% discount?

• $30

• $32

• $28

• $25

If a town's population grew from 960 to 1200, what was the percentage increase?

• 15%

• 30%

• 25%

• 20%

Which inequality represents the statement: 'If Priya had half the money she has, she would have less than $20'?

• x + 2 < 20

• 2x < 20

• x/2 < 20

• x - 2 < 20

What is the correct inequality for the statement: 'The value of x is less than or equal to 50'?

• x < 50

• x ≥ 50

• x > 50

• x ≤ 50

If you have the expression 5x - 15 - 20x + 10, what is the simplified form?

• -5x + 5

• -5x - 5

• -15x + 5

• -15x - 5

Which of the following is equivalent to the expression 4 + 2x - (10 - 4x)?

• 6x - 6

• 2x - 6

• 2x + 6

• 6x + 6