MATH Integrated Math III  - Unit 16: Solving Quadratic Equations; Complex Numbers
1) Solve for “x” using the quadratic formula.

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For the next three problems, use the quadratic formula to solve each equation. State the letter of the correct answer.

2) Solve for “x”.

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3) Solve for “x”.

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4) Solve for “x”.

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For the next four problems, find the discriminant and determine the number of solutions for each quadratic: 2 real, 2 imaginary, or 1 real.

5) What is the discriminant? How many solutions does the quadratic have?

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6) What is the discriminant? How many solutions does the quadratic have?

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7) What is the discriminant? How many solutions does the quadratic have?

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8) What is the discriminant? How many solutions does the quadratic have?

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For the next two problems, solve and state the letter of the correct answer.

9) Solve for “x”.

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10) Solve for “x”.

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For the next four problems, add or subtract. State the letter of the correct answer.

11) What is the sum?

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12) What is the difference?

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13) What is the difference?

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14) What is the sum?

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For the next four problems, multiply. State the letter of the correct answer.

15) What is the product?

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16) What is the product?

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17) What is the product?

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18) What is the product?

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19) Solve.

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Review

20) Find the slope of a line containing the points (2, 3) and (–6, –4).

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21) Write an equation in slope-intercept form of a line that has the given slope and contains the point (8, 6).

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22) Solve for “x”: 2x + 3(x – 2) = –3

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23) Solve for “x”: –5(x + 2) < 3x + 6

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24) Solve the absolute value equation for “x”.

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25) Solve the absolute value inequality for “x”.

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26) Evaluate.

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27) Evaluate.

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28) Simplify. State the letter of the correct answer.

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29) Solve using elimination.

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30) Multiply the matrices. State the letter of the correct answer.

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31) Find the determinant, and answer the following questions: (a) What is the determinant? (b) Does the matrix have an inverse?

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32) Solve. State the letter of the correct answer.

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33) Solve for “x”. State the letter of the correct answer.

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