Exam 2: Review of Basic Algebra

A clothing store sells fancy hats at a gross margin of $3.50 each and ordinary hats at a gross margin of $5.00 each. During July, 110 hats were sold for a total gross margin of $460.00. How many fancy hats were sold?

A company employs 204 employees. There are three shifts. There are three times as many on the first shift as on the second shift, and four more on the third shift than on the second shift. Determine how many were on each shift.

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

Simplify: [(-4)⁴]³

Solve: 3x = 9 + 12x

Solve: = for b

Bow Valley Electronics sold a mini stereo set during a sale for $776. Determine the regular selling price of the set if the price of the set had been reduced by 1/4 of the original regular selling price.

Calculate: (5489031744)1/6

Solve: - x = 15

Compute: ln 1.257

Evaluate ln

Solve: 51 - 14x = -34 - x

Evaluate P: P = A(1 - RT)for A = 1400, R = 0.185, T =

Simplify: (a + b)³

Express in exponential form: log10 = -2

Simplify: 50xy ÷ (-5x)

Solve: Q = for p

Simplify: -5(8a - b)- 2(-6a + 9b)

Simplify: (5m - 2n)(m - 12n)

Evaluate: (-1)¹³