Exam 2: A: Review and Applications of Algebra

Simplify:

Solve: 8 - 0.5(x + 3) = 0.25(x - 1)

Simplify:

Solve: y = 192 + 0.04y

Mountain Sports is advertising "30% Off All Skiing Equipment" in its Spring Clearance Sale. On ski boots marked down to $348.60, what is the regular price?

Solve accurate to the cent:

What amount reduced by 15% equals $100?

Evaluate to six-figure accuracy:

The annual dues for the Southern Pines Golf Club are $2140 for regular members and $856 for student members. If the total revenue from the dues of 583 members for the past year was $942,028, how many members did the club have in each category?

Mr. Parker structured his will so that each of his four children will receive half as much from the proceeds of his estate as his wife, and each of 13 grandchildren will receive one-third as much as each child. After his death, $759,000 remains after expenses and taxes for distribution among his heirs. How much will each child and grandchild receive?

An investor purchased shares of Digger Resources at a price of $0.55 per share. One year later, the shares traded at $1.55, but they fell back to $0.75 by the end of the second year after the date of purchase. Calculate the percent change in the share price: -Over both years

Joan, Stella, and Sue have agreed to form a partnership. For the original capital investment of $32,760, Sue agrees to contribute 20% more than Joan, and Joan agrees to contribute 20% more than Stella. How much will each contribute?

Evaluate to six-figure accuracy:

Graph the following equation: -2x + y = 0 over the range x = -3 to x = 6

Perform the operation indicated and collect like terms:

Solve for x to five-figure accuracy:

The price tags in Annie's Flower Shop include the 13% Harmonized Sales Tax (HST). How much HST will she report for a plant sold at $39.95?

Simplify and collect like terms: 2(7x - 3y) - 3(2x - 3y)

The owner listed a property for 140% more than she paid for it 12 years ago. After receiving no offers during the first 3 months of market exposure, she dropped the list price by 10%, to $172,800. What was the original price that the owner paid for the property?

What amount when decreased by 62% equals $213.56?