Exam 2: Review and Applications of Algebra

Solve the following pair of equations. Verify your solution. -3c + d = - 550 0.7c + 0.2d = 550

Solve: y = 192 + 0.04y

Evaluate to six-figure accuracy: $\frac{(1+0.0075)^{36}-1}{0.0075}$

If the CPI increases from 120.0 to 125.0 over a period, what is the percent increase in the CPI?

Evaluate to six-figure accuracy: 8^4/3

Canadian Exports to China exceeded imports by 12%. By what percentage where Chinese Exports to Canada less than imports from Canada?

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

What amount after a reduction of 20% equals $100?

Perform the operation indicated and collect like terms: $\frac{6 a^{2} b}{-2 a b^{2}}$

Perform the operation indicated and collect like terms: (4r - 3t)(2t + 5r)

Evaluate (1.15)⁷ (1.15)^-5

Simplify: $\frac{\left(2 x^{4} y^{2} z^{3}\right)^{2}}{4 x y z^{2}}$ x⁷y³z⁴

Simplify the following: (x⁵)⁴

Calculate the missing value: Initial Value = 0.11; Final Value = 0.13; Percent Change =?

An employee earns $1,562.50 for 55 hours of work during last week. His regular workweek is 40 hours and he gets overtime at time and one-half the regular rate of pay. What is the regular hourly rate of pay?

Simplify: $\frac{\left(-3 x^{2}\right)^{3}\left(2 x^{-2}\right)}{6 x^{5}}$

75 is 20% more than 60.

Evaluate to six-figure accuracy: $\frac{(1.00 \overline{6})^{240}-1}{0.00 \overline{6}}$

Simplify: -4x - [-3x + 2(x - 6)]

Solve the following pair of equations. Verify your solution. 68.9n - 38.5m = 57 45.1n - 79.4m = -658