# FREE Regents Algebra Question and Answers

#### The same kind of vacuum cleaner costs $115 to be purchased by both a veteran of war and an elderly person. They are each going to use their coupons, which state, respectively, "Senior discount $50!" and "veterans enjoy 20% off all store items!" Who is offered a better deal?

Explanation:

The veteran must pay 115-115*.2 ($92) or 115*.8 ($92) in total. The senior pays $65 (115 minus $50). The senior receives a better deal.

#### Is the following series arithmetic or geometric?

0, 2, 4, 6, 8

Explanation:

Multiplication is used in a geometric sequence to go from one value to the next. The next value in an arithmetic sequence is reached through addition. The next value is increased by 2, resulting in this sequence.

#### Samuel is contrasting the costs of two brands of paper towels, A and B. The cheaper per roll price is Brand B, at $1.74. Brand B comes in packs of 12, but Brand A comes in packs of 8. The cost to buy a pack of Brand B is the same as the cost to buy a pack of Brand A. How much does Brand A cost each roll?

Explanation:

In order to determine the roll price of Brand A, we must construct an equation. We are aware that the price of a pack of Brand B is 12*1.74 = 20.88. Additionally, we are aware of Brand A's pack price. Simply divide the pack price by the number of rolls (20.88/8 = 2.61) to get the price per roll.

#### For x, solve 5 (x+3) = 3 (x-5)

Explanation:

Distribute 5x + 15 = 3x -15 first via both sets of parentheses. Collect similar phrases 2 times for a total of -30. X finally equals -15.

#### Solve for the following variables: 3x - (2x + 3)2 = 5

Explanation:

Rewriting the equation 3x-2(2x+3) = 5 first makes it simpler to approach even though it is not essential. Give the -2 a distribution of 3x - 4x -6 = 5 using the formula. Next, gather related terms: -x = 11. X finally equals -11.

#### Someone's unattended luggage drops from a helicopter's open hatchway at 30,000 feet in the air. How long before the luggage hits the ground can a rescue team attempt to catch it? If the luggage is falling at its terminal speed of 145 feet per second, this is an assumption.

Explanation:

Please define y as height and x as seconds. Calculate the number of seconds till the height is zero by setting up an equation. Find x = 206.897 by solving for 0 = 30000 - 145x. The 206.897 seconds must be converted because the answers are presented in minutes and seconds. Divide 206.897/60 to get 3.448. It's critical to keep in mind that the.448 represents a percentage of a minute rather than seconds. 3 minutes and.448(60) = 26.88 seconds.

#### Where x is 4 and y is -2.35, calculate 1.12x + 21.5y + 13.22.

Explanation:

Simply enter the appropriate values into x and y.

1.13(4) + 21.5(-2.35) + 13.22

= 4.52 – 50.525 + 13.22

= -32.785