zMath 180  - Unit 5: Squares and Square Roots
Simplify the expressions by finding the square or square root.

1) Evaluate.

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2) Evaluate.

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3) Evaluate.

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4) Evaluate.

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5) Evaluate.

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6) Evaluate.

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7) Find the square root.

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8) Find the square root.

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9) Find the square root.

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10) Find the square root.

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11) Find the square root.

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12) Find the square root.

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13) A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

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14) The area of the square in the figure below is 16 square inches. Solve for “s”, the length of one side. Explain the solution.

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15) At wrestling competitions, the wrestling mat is placed on a square that has an area of 1,444 square feet. What is the length of one side of the square?

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16) A chessboard has 8 squares along each side of the board. How many total squares are on the board?

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17) Find the square root.

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18) Find the square root.

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19) Find the square root.

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20) The given square root falls between what two integers?

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21) Use approximation to find the square root of the number in the previous problem. State the answer to the nearest hundredth and explain the steps you took to find the square root.

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22) Use approximation to find the square root of the given number to the nearest tenth.

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23) Use approximation to find the square root of the given number to the nearest tenth.

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24) Use approximation to find the square root of the given number to the nearest hundredth.

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25) Use approximation to find the square root of the given number to the nearest hundredth.

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26) If a = 5 and b = 10, use the formula below to approximate the distance between the planes to the nearest hundredth.

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27) An amusement park ride, the Demon Drop, includes a drop of close to 100 feet. Use the given equation to approximate the time (seconds) that it takes the dropped object to fall a distance of about feet. Solve for "t" to the nearest tenth.

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Review

28) Write the ratio 28:40 in simplest terms.

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29) Write the fraction in simplest form.

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30) Solve for “x”.

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31) Solve for “y”.

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32) Solve for “c”.

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33) Find the quotient.

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34) Find the difference: 7–(–9)

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35) Find the difference: –8–4

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36) Find the product: (0.45)(–170)

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37) Find the sum.

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38) Find the difference.

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39) Find the product.

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40) Find the quotient.

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41) Find the sum.

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42) Find the sum.

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43) Find the difference.

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44) Find the sum.

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