Exam 2: Review of Basic Algebra

Compute:

Simplify: -3x(4 - 2b - b)

After reducing the regular selling price by 1/8, Sepaba Inc. sold a Stereo set for $300. What was the regular selling price?

Sleep Inc. reduced the price of the Sealy mattress by 20% for a spring sale. What was the regular price of the mattress, if the sale price is $649.95?

Solve: 0.4x - 4 = 6 - 0.8x

Compute:

Solve: x + 0.307x = 640.20

Solve: -5x = 35

The local amateur soccer club spent $1640 on tickets to a professional hockey game. If the club bought 2.5 times as many eight-dollar tickets than the number of twelve-dollar tickets and four fewer fifteen-dollar tickets than 7/10 the number of twelve dollar tickets, how many of each type of ticket did the club buy?

Simplify:

Simplify: [(3³)- 6²]³

Simplify: 2⁹ ÷ 2³ × 2⁴

Evaluate K: K = for N = 112, C = 250, P = 2450, n = 24

Compute: 32^3/4

Simplify: (-a³ - 10a² - 3a)÷ (a)

A smartphone was being sold for $660 while on sale. If the price dropped by 20% for the sale, what was the original price of the smartphone?

Simplify: -3w(4z + 1)- 2z(6w + 2)

Solve: x + x + + x + x + 1 = 256

Following equation is used in carbon dating of the artefacts: N = × where, N = Decay rate of the artefact, expressed as disintegrations per minute (dpm) = Decay rate of natural carbon = 14 dpm τ = Mean life time = = = 8267 years t = Age of the artefact Calculate the age of the artefact, if the decay rate of the artefact is measured as 4 dpm

Compute: 1.28^-5/14