Mathematical Concepts and Problem Solving

This video tutorial covers 7th grade math topics on expressions and equations, including expanding, simplifying, and solving equations. It provides real-world applications and practice questions with step-by-step solutions. Viewers can pause the video to solve problems and check their answers. Additional resources for practice are available in the description.

What is the main topic covered in this video?

• Expressions and Equations

• Probability

• Geometry

• Statistics

How many review questions are typically included in each video?

• 5-10

• 15-25

• 10-20

• 8-15

What is the first step in expanding and simplifying 3.5(7x + 4x) + 12 + x?

• Divide by 3.5

• Add 12 and x

• Combine like terms inside the parentheses

• Multiply 3.5 by 12

What is the simplified form of 3.5(7x + 4x) + 12 + x?

• 39.5x + 12

• 40.5x + 12

• 37.5x + 12

• 38.5x + 12

What value of x satisfies the equation 3x + 7 = 5x + 4x - 1?

• 5

• 2

• 3

• 4/3

What is the first step in solving the equation 3x + 7 = 5x + 4x - 1?

• Divide by 3

• Add 1 to both sides

• Combine like terms on the right side

• Subtract 7 from both sides

What is the expanded form of 3(4x + 3)?

• 12x + 9

• 12x + 3

• 4x + 9

• 7x + 9

How do you distribute 3 in the expression 3(4x + 3)?

• Add 3 to 4x

• Multiply 3 by both 4x and 3

• Multiply 3 by 3 only

• Multiply 3 by 4x only

How do you express a 7% increase in profit P?

• 7P

• 1.07P

• P + 0.07

• 0.07P

What does a 7% increase in profit mean in terms of percentage?

• 100%

• 97%

• 107%

• 7%