Inequalities, Expressions, and Circles

This video tutorial covers Math 7 Unit 6 Lesson 20, focusing on combining like terms, equivalence of expressions, subtraction of expressions, solving inequalities, expanding and factoring expressions, and calculating percentages and circumference. The lesson includes practical examples and problem-solving scenarios to enhance understanding.

What is the primary goal when combining like terms?

• To increase the coefficients

• To change the variables

• To simplify the expression

• To make the expression longer

Why are the expressions 2*(X+4) and 2X+8 considered equivalent?

• They both equal 10 when X is 1

• They have the same number of terms

• They simplify to the same expression

• They have the same coefficients

Which of the following expressions is equivalent to 8X - 2X - 4?

• 6X - 4

• 6X + 4

• 8X - 4

• 10X - 4

What inequality represents the situation where Lynn buys a CD and songs with a $40 gift card?

• $7.99 + $0.99x ≥ $40

• $7.99 + $0.99x ≤ $40

• $7.99 + $1.99x ≤ $40

• $7.99 + $1.99x ≥ $40

How do you solve the equation 6n - 7 = 5?

• Divide both sides by 6, then subtract 7

• Multiply both sides by 6, then add 7

• Subtract 7 from both sides, then multiply by 6

• Add 7 to both sides, then divide by 6

What is the value of P if 4n + 10 is equivalent to n + P = 4?

• P = 14

• P = 6

• P = 4

• P = 10

What is the circumference of a circle with a radius of 5 using 3.14 for pi?

• 10

• 31.4

• 15.7

• 25.12

How do you express 20 as 40% of a number?

• 20 = 40 * x

• 20 = 0.04 * x

• 20 = 0.4 * x

• 20 = 4 * x

What is the sales tax on a $260 bike with a 6% tax rate?

• $15.60

• $12.60

• $13.00

• $18.00

What is the formula for the circumference of a circle?

• C = pi * diameter

• C = 2 * pi * radius

• C = 2 * radius

• C = pi * radius