Exam 2: Review and Applications of Algebra

Evaluate the following expression: 3x + 4y -6xy, for x = 2, y = -3

Simplify: 8 - (2x + 4y - 3) - (4y + 10)

How much is $150 after an increase of 150%?

When x = 6, then the result of $\frac{5 x+12}{7}-1.5(x-2)$ is 0.

A firm received a bill from its accountant for $3,310, representing a combined total of 41 "billable" hours for both the Certified General Accountant (CGA) and her accounting technician, for conducting the firm's audit. If the CGA charges her time at $120 per hour and the technician's time at $50 per hour, how many hours did each work on the audit?

Simplify: $\frac{\left(-2 a^{3}\right)^{-2}\left(4 b^{4}\right)^{3 / 2}}{\left.\left(-2 b^{3}\right) (0.5 a\right)^{3}}$

Simplify and collect like terms: 15x - [4 - 2(5x - 6)]

The annual net income of the SGR partnership is to be distributed so that Sven receives 30% less than George, and Robert receives 25% more than George. If the past year's net income was $88,880, what amount should be allocated to each?

José works in a toy manufacturing plant. The wooden toy he fabricates requires three steps: cutting, assembly, and painting. Assembly takes two minutes longer than half the cutting time, and painting requires half a minute longer than half the assembly time. How long does each step require if José made 72 units in 42 hours of work?

On the purchase of a plasma TV, the total cost to the customer (including 13 % HST ) came to $2,822.74. How much HST did the customer pay?

Evaluate to six-figure accuracy: (1 + 0.025)^1/3 - 1

Graph the following equation: y = 4.5x + 5,000 over the range x = 0 to x = 6,000

Simplify the following: $\frac{\left(a^{3}\right)^{-2}}{a^{6}}$

Solve the following pair of equations. 2y = 5x 3y - 5x = 0

A loan company dropped the interest rate it charges on second mortgages from 9.5% to 7.9%. What percent reduction did this represent?

$750 is what percent more than $250?

A company has 50% less equity financing than debt financing. What percentage is the debt of the equity? What percentage more debt financing does the company have than equity financing?

Graph the following equation: y = 60x + 6,000 over the range x = 0 to x = 50

Evaluate and calculate to the cent: $R\left[\frac{(1+i)^{n}-1}{i}\right](1+i)$ for R = $630, i = 0.115, n = 2

Simplify and collect like terms: 4x²y + (-3x²y) - (-5x²y)