MATH Integrated Math III  - Unit 29: Distance and Midpoint Formulas; Parabolas
For the first five problems, find the distance between P and Q and the coordinates of M, the midpoint of segment PQ. State the letter of the correct answer.

1) Find the distance and the midpoint between the two points.

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2) Find the distance and the midpoint between the two points.

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3) Find the distance and the midpoint between the two points.

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4) Find the distance and the midpoint between the two points.

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5) Find the distance and the midpoint between the two points.

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For the next three problems, find the center, circumference, and area of each circle described, and then state the letter of the correct answer.

6) Find the center, circumference, and area of the circle.

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7) Find the center, circumference, and area of the circle.

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8) Find the center, circumference, and area of the circle.

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For the next four problems, find the vertex form of each parabola. Select the vertex form from these expressions, and then state the letter of the correct answer.

9) Find the vertex form of the parabola.

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10) Find the vertex form of the parabola.

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11) Find the vertex form of the parabola.

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12) Find the vertex form of the parabola.

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13) Write the vertex form for the parabola with the given characteristics. State the letter of the correct answer.

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14) Write the vertex form for the parabola with the given characteristics. State the letter of the correct answer.

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For the next six problems, select from these expressions to match the given definition, and then state the letter of the correct answer.

15) a parabola that opens left

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16) the midpoint formula for a line segment

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17) a parabola that opens down

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18) the distance formula for two points in a coordinate plane

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19) a parabola that opens up

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20) a parabola that opens right

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Review

21) Solve for “x” by completing the square.

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22) Solve for “x” by completing the square.

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23) Solve for “x” by using the quadratic formula.

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24) Solve for “a” by using the quadratic formula.

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25) Factor.

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26) Factor.

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For the next four problems, perform the indicated operation and select from these expressions. State the letter of the correct answer.

27) Multiply and simplify.

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28) Multiply and simplify.

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29) Divide and simplify.

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30) Divide and simplify.

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