Exam 2: Review and Applications of Algebra

Cliff just received a raise to $18.45 per hour from $18.00. What is the percent increase in his hourly rate?

Perform the operation indicated and collect like terms: $\frac{12 x^{3}-24 x^{2}+36 x}{48 x}$

A wholesaler sells to retailers at a 27% discount from the suggested retail price. What is the suggested retail price of an item that costs the retailer $100?

Perform the operation indicated and collect like terms: $\frac{18 x^{2}}{3 x}$

How much is 50 increased by 300%?

Solve for the following pair of equations to three figure accuracy. x - y = 12 4x + 6y = 42

Evaluate the following: $\left(\frac{r^{3} t^{4}}{t}\right)^{3}$ =

Solve the following set of equations graphically: 3x - 3y = -15 -x + y = 5

Simplify: $\left(\frac{1+i}{3 i}\right)^{3}$

Using the formula S=P(1+rt), solve for r given S=$2250, P=$1500 and t=1.2 to the nearest hundredth.

Buckerfields Garden Supply makes custom fertilizer by mixing appropriate combinations of bulk 6% nitrogen fertilizer with bulk 22% nitrogen fertilizer. How many kilograms of each type should be mixed to make 300 kg of 16% nitrogen fertilizer?

Bart purchased 60% of a three-eighths interest in a ski chalet for $25,000. What was the implied value of the chalet?

Simplify: b¹⁰ / b⁶

Evaluate to six-figure accuracy: 7^3/2

If December sales were 30% more than November sales, by what percent are November sales less than December sales?

Evaluate: $R\left[\frac{(1+i)^{n}-1}{i}\right]$ for R = $1,200, i = 0.02, n = 6

The following algebraic expression $-7 x y+2 x$ can be classified as:

Using the formula : $c=\frac{V_{f}-V_{1}}{V_{l}}$ , solve for V_f given c=0.65 and V_i = $475 to the nearest cent.

Solve the following pair of equations. Verify your solution. 2v + 6w = 1 -9w + 10v = 18

Evaluate and calculate to the cent: $\frac{S}{1+r t}$ for S = $2,500, r = 0.085, $t=\frac{123}{365}$