Exam 2: Review of Basic Algebra

Simplify: 5⁷ ÷ 5^-3

Simplify: -(3m - 6m - 5) - (4 - 7m - 2m)

Solve: 2x + 17 = 8x - 3

Solve: x(1.05)³ + $1000 + =

Evaluate: (-0.1)⁴

Solve: 17 - 4(2x - 7) = 15x - 3(2x - 3)

Evaluate r: r = , where I = 200, P = 800, t =

Solve: (3 - 5x) - (9x - 1) = 80

Evaluate ln

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, grapes at $2.15 per kg, strawberries at $1.50 per kg and melons at $1.85 per kg. He is required to produce 10 kg of the mixed fruit. He is required to add 2 kg of strawberries and 3 kg of grapes. 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?

Expand: (3xyz)³

Solve: D = for F

Rearrange for c: x =

Rearrange for r: A = πr²

Solve for x: x - x =

Simplify:

Calculate up to 4 decimal places: ln 16

Evaluate P: P = S(1 - dt) for S = 1886, d = 0.15, t =

Simplify: 4(9y - 4) - 2(y - 1) - (1 - 3y)

A rubber tube 120 cm long is cut into two pieces so that the longer piece is 30 cm longer than twice the length of the shorter piece. What is the length of the longer piece?