Exam 2: Review of Basic Algebra

Compute:

Simplify: -2a(-3b)(-4c)(-5)

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?

Solve: 8x = 40

Solve: 2x = 40

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

Compute:

Simplify: (1 - r)3(1 - r)4(1 - r)

Solve: 10(3 - x) + 2(x - 2) = 6(2x - 2)

Evaluate p: p = s , where s = 3120, r = 0.123, t = 295

Simplify: (3a - 1)(a - 3a + 1)

Simplify:

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?

Evaluate: (3)²(3)⁴

Express in logarithmic form: 10-4 = 0.0001

After a reduction of of the selling price, a VCR was sold for $470.00. Determine the regular selling price.

Evaluate: 1⁶

An electronics company has been producing 1705 CD Players a day working two shifts. The second shift has produced 95 CD players fewer than four-fifths of the number of CD players produced by the first shift. Determine the number of CD players produced by the second shift.

Express in logarithmic form: 56 = 19683

Simplify: (3)2(3)5