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Expression and Formulas

100

Evaluate:

x² - 5x + 12 for x = 3

6

200

P = nRT/V;

Determine V when P =12, n =10, R =60 and T = 8

400

300

Combine the like terms: 

0.2(x +4) +1.2(x -3) 

1.4x - 2.8

400

Solve for d if 

L = (c +2d)/4

d = (4L - c)/ 2

Solving Equations

100

3(x +2) +2(x -1) = 5x -7

No solution

200

(2x +3) (x -1) = 0 

{ - 3/2, 1}

300

4(3n +1) = 5(4n - 6) + 9n

2

400

3x² = -5x -2

{-2/3, -1}

500

2x² - 5x - 2 = 0

[5 + sqrt(41)]/ 4

Graphing LE and System of LE

100

Determine the slope: (2,1) and ( -5, -9) 

10/7

200

Graph the equation :

3x - 2y +6 = 0

On board

300

Solve the system: 

2x + y =12

x = - 1/2 y + 6

An infinite number of solutions

400

Solve the system:

2x - 4y = 4 

3x - 2y = 4

(1,  - 1/2)

Problem solving

100

At Action Water Sports of Ocean City, Maryland, the cost of renting a Jet Ski is $42 per half hour, which includes a 5% sales tax. Determine the cost of half an hour Jet Ski rental before tax.

$40 per half an hour

200

A ball is projected upward from the ground. Its height h, above the ground, in feet, can be determined by the equation 

h = - 16t² + 128t where t is the number of seconds after the ball is projected. After how many seconds will the ball be 256 ft above the ground?

4 seconds

300

A manufacturer sells Blu- ray Disc players for $150 per unit. Manufacturing cost consist of a fixed cost of $3850 and a production cost of $115 per unit.

1. Write the cost and revenue equations.

2. Graph both the equation for up to and including 150 units on the same axes.

3. Use the graph to estimate the number of units the manufacturer must sell to break even.

1. C = 115x + 3850

     R = 150 x

3. 110 units