Questions

1) Graph the given inequality on the number line. State the letter of the correct graph.

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2) Graph the given inequality on the number line. State the letter of the correct graph.

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3) Which inequality represents the solution for n + 6 < 13?

a.) n < 19

b.) n > 19

c.) n < 7

d.) n > 7

4) For the solution to the inequality in the previous problem, list all integers from –10 through 10 that will make the inequality a true statement when substituted for “n”? (The integers for –10 through 10 are shown below.)

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5) Which inequality represents the solution for 33 < y – 8?

a.) y < 25

b.) y < 41

c.) y > 25

d.) y > 41

6) Which inequality represents the solution to the given inequality? State the letter of the correct answer.

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7) Which inequality represents the solution to the given inequality? State the letter of the correct answer.

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8) Which inequality represents the solution to the given inequality? State the letter of the correct answer.

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9) Which inequality represents the solution to the given inequality? State the letter of the correct answer.

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10) For the solution to the inequality in the previous problem, list all integers from –10 through 10 that will make the inequality a true statement when substituted for “t”? (The integers for –10 through 10 are shown below.)

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Refer to the scenario below to answer the next four questions.

Radio station WMAT in Math City is 200 miles from radio station WGEO in Geometry City. Highway 8, a straight road, connects the two cities.

WMAT broadcasts can be received up to 150 miles in all directions from the station and WGEO broadcasts can be received up to 125 miles in all directions. Radio waves travel from each station through the air, as represented below.

Print out the drawing below of Highway 8 and radio stations WMAT and WGEO. The hash marks on the number line represent equally-spaced divisions of Highway 8. Think of station WMAT as located at mile marker 0 and station WGEO as located at mile marker 200. Determine the distance represented between two hash marks by dividing 200 by the number of equal divisions across Highway 8. Then, label each hash mark, starting with zero (0) and counting up through 200 by increments that show the distance that each mile marker is from station WMAT.

11) Each division (hash mark) on the number line represents how many miles?

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12) On the drawing, shade the complete circular regions around both radio stations that represent the broadcast area of each station where houses can be located. Use the number line to estimate the length that could represent the radius of each circle. Describe the shape of the area that can receive BOTH stations.

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13) What section of the number line represents the part of Highway 8 where both radio stations can be received? Use numbers to state where the overlapping area begins and ends.

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14) Which inequality describes the part of Highway 8 where both radio stations can be received? State the letter of the correct answer.

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Review

15) Solve for “n” using an inverse operation.

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16) Solve for “x” using an inverse operation.

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17) Solve for “x” using an inverse operation.

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18) Solve for “x” using an inverse operation.

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19) Solve for “x” using an inverse operation.

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20) Solve for “x” using an inverse operation.

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21) Find the sum and write the answer in standard form.

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22) Find the difference and write the answer in standard form.

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23) Find the quotient and write the answer in standard form.

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24) Find the quotient and write the answer in standard form.

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25) A fifteen year old is having a birthday party at the local swimming pool. Explain two different counts that she can estimate for the party. One should be an over-estimate and the other can be an under-estimate.

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26) An airline pilot is planning a flight to Chicago’s O’Hare airport. Explain two measurements the pilot must not estimate in order to plan a safe flight.

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27) Find the sum: 4.34 + 8.75 + 4.2

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28) Find the difference: –9.75 – 3.42

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29) Find the product: (–9.2)(1.1)

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30) Find the difference.