Exam 2: Review and Applications of Algebra

If the denominator of a fraction decreases by 20% and the numerator remains unchanged, by what percentage does the value of the fraction change?

How much is $102 after a decrease of 100%?

Solve for x: $-\left(\frac{1}{2} x-5\right)=2 x-10$

Evaluate and calculate to the cent: P(1 + rt) for P = $770, r = 0.013, $t=\frac{223}{365}$

A web site had 2/7 more hits last month than in the same month of the preceding year. If there were 2655 hits last month, how many were there 1 year earlier?

Evaluate and calculate to the cent: $\frac{I}{r t}$ for r = 0.095, I = $23.21, $t=\frac{283}{365}$

Susan is paid a 15% commission of her sales. If she earns a commission of $3800, what was the amount of her sales?

Calculate the final result to two decimal places, where z = .1515 $\frac{z}{4}+z^{4}+\frac{7}{9}-.25 z^{2}+\frac{2}{3}$

The retail price of All Natural Granola dropped from $7.98 to $7.29 when the package size was reduced from 700 g to 600 g. What was the percent change in the unit price?

Sales have increased by 10% over last year. What percentage less was last year's sales than this year's sales?

Bart purchased three-quarters of a 32% interest in a Swiss Chalet franchise for $270,000. What is implied value of the franchise?

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?

Simplify and collect like terms: $\frac{8 x}{0.5}+\frac{5.5 x}{11}+0.5(4.6 x-17)$

The Markham Real Estate Board reports that the average selling price of homes last month in the Markham area was $338,500, an increase of 8.7% over the past year. Rounded to the nearest $100, what was the average selling price one year ago?

Simplify the following: y⁸ / y⁵

Evaluate to six-figure accuracy: (1.0075)²⁴

How much is 600 increased by 44%?

Calculate the final result to two decimal places, where f = $8.25 $\frac{f}{(1+.067)^{3}}-4 f(1-.067)^{4}$

David's portfolio consists of bonds and equity. The bond market rose by 2.5%, while the equity market dropped by 10.5%. David's portfolio increased by 1.25%. What portion of bonds and equity did he have in his portfolio?

If the euro is worth 57% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?