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Math 123A Sample Final Simplify Evaluate b 2 – 4ac if a = -3, b = 2, c = -2. Solve the following equations A. 2x - 3 = 5x + 3 - x B. 3(2x - 3) - 6 = 5 - 2(4 - x) Solve and draw the solution. A. 5x > 3 – 2x, B. 2x / 3 ≤ 2x – 1, Multiply, expand and simplify (2x –5) ( 2x – 5 ) – ( x + 2)( 3x – 2 ) Factor completely. If it is not factorable, state so: 25x 2 – 49 x 2 – 5x + 6 x 2 + 2x – 1 E. – y 2 – 9 Use ac-method to determine if it’s factorable. Factor it if it is. a. 2x 2 – 5x + 2 a. 3x 2 – 5x – 2 Solve the following equations: A. x 2 = 13x – 36 B. 9x 2 – 12x + 4 = 0 C. x 3 = 4x Simplify and leave the answer in positive exponent: Solve the following system 2x – 3y = - 2 x – 2y = 1

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Math 123A Sample Final

Simplify

Evaluate b2 – 4ac if a = -3, b = 2, c = -2.

Solve the following equations A. 2x - 3 = 5x + 3 - x B. 3(2x -3) - 6 = 5 - 2(4 - x)

Solve and draw the solution. A. 5x > 3 – 2x, B. 2x / 3 ≤ 2x – 1,

Multiply, expand and simplify (2x –5) ( 2x – 5 ) – ( x + 2)( 3x – 2 )

Factor completely. If it is not factorable, state so: 25x2 – 49 x2 – 5x + 6 x2 + 2x – 1 E. – y2 – 9

Use ac-method to determine if it’s factorable. Factor it if it is. a. 2x2 – 5x + 2 a. 3x2 – 5x – 2 Solve the following equations:A. x2 = 13x – 36 B. 9x2 – 12x + 4 = 0 C. x3 = 4x Simplify and leave the answer in positive exponent:

Solve the following system 2x – 3y = - 2

x – 2y = 1

Graph the following equation in x and y. Label your lines as A, B. Label the x and y intercepts.A. 3y = 2x + 6 B. 2x - y = 4 C. 4 – x = 7 D. 5y + 3 = -7

The length of a rectangle is 2 ft less than three times the width. The area of the rectangle is 40 ft2. What are the length and width? (Set up and solve an equation)

Given the total area below is 55 ft2, find the width x.

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