Mathematical Problem Solving Techniques

The video tutorial covers various mathematical problems, including calculating sale prices with discounts and taxes, comparing attorney fees, applying exponent rules, subtracting fractions, and understanding absolute values. It provides step-by-step solutions to each problem, emphasizing the importance of converting percentages to decimals, finding common denominators, and applying exponent rules. The tutorial also explains how to handle negative exponents and absolute values, ensuring students understand the concepts thoroughly.

What is the sale price of jeans originally costing $40 with a 20% discount and 8% tax?

• $32.00

• $34.56

• $36.00

• $38.40

A calculator is on sale for 40% off its regular price of $20. What is the sale price?

• $8.00

• $12.00

• $20.00

• $16.00

Shamika bought three skirts at $25 each. What is her total after a 30% discount?

• $60.00

• $57.50

• $55.00

• $52.50

Which attorney is cheaper for a $200,000 house: Mr. Gable with a $2,500 flat fee or Mrs. Mandal with a 1.5% fee?

• Mrs. Mandal

• Cannot determine

• Mr. Gable

• Both are the same

What is the result of 5^6 * 5^-2?

• 5^8

• 5^4

• 5^3

• 5^2

What is the least common denominator of 7/8 and 5/6?

• 36

• 48

• 12

• 24

Simplify the expression: 4^2 * 3^5 * 2^4 / (4^3 * 3^5 * 2^2).

• 4

• 8

• 2

• 1

What is the square root of 225?

• 16

• 15

• 14

• 13

Which expression has the smallest absolute value: |-19|, |-34|, |11|, |47|?

• |-19|

• |-34|

• |11|

• |47|

If the sum of a number n and 14 is 72, what is the equation?

• n + 14 = 72

• n - 14 = 72

• n - 72 = 14

• n + 72 = 14