Exam 2: Review and Applications of Algebra

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

Econo Car offers two plans for one-week rentals of a compact car. A rate of $295 per week includes the first 1,000 kilometres. Extra distance costs 15 cents per kilometre. A weekly rate of $389 allows unlimited driving. Rounded to the nearest kilometre, beyond what driving distance is the unlimited driving plan cheaper?

The following algebraic expression $3 a b^{2}-4 a^{2}+2$ , can be classified as:

Calculate the missing value: Initial Value = 35kg; Final Value = 135kg; Percent Change =?

Ajax Corporation has $48,000 to spend on advertising and is considering radio, television and newspaper ads. For radio ads, Ajax will spend a quarter of what it will spend on newspaper ads. For television ads, it will also spend 70% of what it will spend on radio ads. How much will the company spend on radio, newspaper and television ads respectively?

During the past 15 years the price of milk has increased by 160%. If the price is now $1.30 per litre, what is the dollar amount of the price increase per litre?

Simplify and collect like terms: $\frac{x}{5}+\frac{2}{5}-0.7 x^{2}-\frac{3}{5} x+\frac{3}{4}$

Simplify the following equation: $\frac{15 r^{7} t^{9}}{\left(3 r^{3} t\right)^{5}}$

Evaluate $\sqrt[3]{2.37}$

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?

Evaluate: -4(r - t) - (2r - 4t) for r = 1/2 and t = 1/4.

Simplify: $\frac{\left[\left(x^{1 / 3}\right)\left(x^{2 / 3}\right) x]^{3 / 2}\right.}{\left(8 x^{3}\right)^{2 / 3}}$

Calculate the missing value: Initial Value = $95; Final Value = $100; Percent Change =?

0.51% of $8500.00 =

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

During a one-day special, a grocery store sells cucumbers at 98 cents each or four for the price of three. At the end of the day, the store's computer reports that revenue from the sale of 541 cucumbers was $418.46. How many cucumbers were sold on the four-for-three promotion?

77,787 is what percent more than 77,400?

Perform the operation indicated and collect like terms: $\frac{32 a^{2} b-8 a b+14 a b^{2}}{2 a b}$

Solve the following pair of equations. Verify your solution. 318j - 451k = 7.22 -249j + 193k = -18.79

Perform operations and gather like terms: $\frac{5 b-4}{4}-\frac{25-b}{1.25}+\frac{7}{8} b$