Exam 2: Review of Basic Algebra

Calculate the following: ln

Evaluate: (1.05)⁰

Express in logarithmic form: e^-3x = 12

Evaluate: ln 60

Solve: -3x = 9 - 6x

Simplify: 4x - 3y - 4x - 2y

In the following equation: = PMT calculate n, if = 75,000; PMT = 3500; i = 0.028

Solve: S = P(1 + rt)for t

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?

Solve: x - 0.75x = 9.00

Simplify:

Solve for x (answer will be a decimal) (x + 2)- (2x + 2)=

Solve for x: x - x =

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

Simplify: (7a - 7b)- (-3a + 9b)- 11b

Evaluate:

Simplify: (-64ab)÷ (8ab)

Carlos went to the mall to buy toys for his children and nephews with a total of $1300. After he was done shopping, he had $400 left in his account. Carlos's expenditure on doll sets was $100 less than four times the amount he spent on toy cars. How much money did Carlos spend on doll sets?

Solve: P = S(1 + i)-n for i

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