Algebraic Expressions and Inequalities

The video tutorial covers solving algebraic expressions and equations, including simplifying expressions, solving equations with fractions, and graphing inequalities. It also addresses identifying mistakes in equations and calculating discounts and taxes. The tutorial provides step-by-step solutions to various problems, emphasizing the use of the distributive property, combining like terms, and understanding the impact of operations on inequalities.

Which expression is equivalent to -5(4d - 4) + 2d?

• 18d - 20

• 18d + 20

• -18d - 20

• -18d + 20

What is the result of simplifying -18k - 4 - 6 + 20k?

• -2k - 10

• 2k + 10

• -2k + 10

• 2k - 10

How do you solve the equation p/(-4) = -5?

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by -4

• Multiply both sides by -4

What is the solution to the equation 1/4h - 1/3h + 2 = 10?

• h = -8

• h = 8

• h = -96

• h = 96

How do you graph the inequality -2n ≥ 20?

• Shade to the right of -10

• Shade to the left of 10

• Shade to the left of -10

• Shade to the right of 10

What is the mistake in the equation 8x + 27.2 = 75.2?

• Incorrect multiplication

• Incorrect division

• Incorrect subtraction

• No mistake

How much does Mrs. C pay for a car costing x dollars with 8% sales tax?

• 1.08x

• x - 0.08

• 0.08x

• x + 0.08

What is the discount on a surfboard costing s dollars with a 20% coupon?

• 0.2s

• 0.8s

• s + 0.2

• s - 0.2

Simplify the expression: -4(-2) + 3(-3) + 4(5)

• -8w - 9w - 20

• -8w + 9w + 20

• 8w + 9w - 20

• 8w - 9w + 20