Math 101 Final Practice (Part 1)

Solve the system by the elimination method.

Solve and check for extraneous solutions

• k = 20

• k = -20

• No Solution

• k = 3

Solve by cross-multiplying

• x = 6
• x = -6
• x = 6/7
• x = -6/7

Solve by using the LCD.

• x = 1
• x = 2, 4
• x = 0, 5
• x = -5, -1

Solve by factoring: 2x² - 5x - 12 = 0

• x = -4 and x = -6

• x = 4 and x = -3/2

• x = 4 and x = 6

• x = -4 and x = 3/2

Solve.
n² - 2n = 0

• n = 2 and 0
• n = -2 and 0
• n = 2
• n = 0

x² + 15x + 44 = 0

• {-8, 2}
• {-7, 5}
• {-11, -4}
• {-11}

(x + 1) ² = 25

• ± 5
• 4  or  -6
• -4  or  6
• ± 4

3x² = 30

• ± 10
• ± √10
• ± 15
• 30

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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