Exam 2: Review of Basic Algebra

Evaluate: (-5)^-2

Simplify: (-8ab) ÷ (8a)

Sobeys sells fruit trays consisting of pineapple and melons. The manager of the fruit department obtains pineapples at a wholesale price of $2.50 per kg, and melons at $1.85 per kg. He is required to produce 10 kg of the mixed fruit. What is the maximum weight of pineapple that he can put in the mix in order to have an effective wholesale cost no greater than $2.00 per kg?

Calculate: (5489031744)1/6

Express in logarithmic form: 5⁶ = 19683

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

Express in exponential form: log_-4(4096) = 6

Old Navy had $940 worth of orders for shirts. The prices for the shirts were categorized by style: $10 for tank tops, $14 for graphic tees, and $22 for polos. The number of polos ordered was one more than half the number of graphic tees, and the number of graphic tees ordered was eight less than twice the number of tank tops. Determine the number of each type of shirt ordered.

Express in logarithmic form: 3⁹ = 19683

Simplify: (m⁵)⁵

Simplify: 2(a - 1)(7a - 3) - 3(6a - 2)(2a + 1)

Solve: - - = 1

Simplify: (-4)³ ∗ (-4)

Calculate the following: ln

Simplify

ln

Simplify: [(3³) - 6²]³

Evaluate: 1⁶

Evaluate: (-1)¹⁴

Evaluate y: y = (3x² - x - 1) - (5 - 2x - x²) for x = -3