TEKS.MATH.9-12.II.C

Determine the value of the discriminant and name the nature of the solution for the following:
x² + 8x - 84
Remember:  b² - 4ac

• 256 - 2 reals - Rational
• 400 - 2 reals - Rational
• √(-400) - 2 non-real complex - imaginary
• 20 - 2 reals - Rational

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TEKS.MATH.9-12.II.C

write the equation

• 15 + 6p = 75
• 15- 6p = 75
• 15 + 75 = 6p
• 15 -75 = 6p

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TEKS.MATH.9-12.II.C

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

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TEKS.MATH.9-12.II.C

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25
• 2x + 10 > 20
• 2x + 10 ≤ 25
• 2x + 10 < 25

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TEKS.MATH.9-12.II.C

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

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TEKS.MATH.9-12.II.C

Solve for y:
2x + 2y = 6

• y = - x + 3
• y = x + 3
• y = 2x +6
• y = - 2x + 6

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TEKS.MATH.9-12.II.C

Solve for x:
4x + 5x = 27

• x = 27
• x = 3
• x = -27
• x = 0

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TEKS.MATH.9-12.II.C

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form
• Get x by itself
• Compare the slopes of both equations
• Write both equations in standard form

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TEKS.MATH.9-12.II.C

Solve 3| −8x| + 8 = 80

• {-7/3, 7/3}
• {-3,3}
• {11/3,-11/3}
• No Solution

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TEKS.MATH.9-12.II.C

What would the inverse operation be?
 $2s=19$  

• addition

• subtraction

• multiplication

• division

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TEKS.MATH.9-12.II.C