Exam 2: Review and Applications of Algebra

It takes 20 minutes of machine time to manufacture Product X and 30 minutes of machine time to manufacture Product Y. If the machine operated 47 hours last week to produce a combined total of 120 units of the two products, how many units of Y were manufactured?

Simplify and collect like terms: 2(7x - 3y) - 3(2x - 3y)

The Hampton District school board decided to reduce the number of students per teacher next year by 15%. If the number of students does not change, by what percentage must the number of teachers be increased?

What is the percent change in unit price of a bag of cookies if the number of cookies per box is decreased by 15% (with no change in the price per bag)?

What amount after a reduction of $16 . \overline{6} \%$ equals $549?

Kristina is in charge of billing for a company that does computer training. She is preparing an invoice for $1,340 for 32 hours of work, which includes training at $70 per hour and preparation of a manual at $25 per hour. How many hours of training are included in the invoice?

The total cost of a coat, including HST of 13% on the retail price, was $281.37. What is the retail price of the coat?

Simplify and collect like terms: $x\left(1+0.045 \times \frac{55}{365}\right)+\frac{2 x}{\left(1-0.045 \times \frac{200}{365}\right)}$

What number is 25% less than 96?

Evaluate to six-figure accuracy: 5^-3/4

Regal Resources owns a 58% interest in a mineral claim. Yukon Explorations owns the remainder. If Regal sells one-fifth of its interest for $1.2 million, what is the implied value of Yukon's interest?

A retailer purchases merchandise at 25% below the suggested retail price. If the retailer pays $375 for an item, what is the suggested retail price?

Evaluate accurate to the cent: L(1-d₁)(1-d₂)(1-d₃) for L = $340, d₁ = 0.15, d₂ = 0.08, d₃ = 0.05