zMath Intervention Math  - Unit 17: Review
The Meaning of Whole Numbers and Decimals

1) Solve for “x”. (Note: There are two answers.)

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2) What number, when added to 34.51, gives the answer of 34.6?

Expressions, Sequences, and Logic

3) What is the value of the given expression if a = 2, b = 3, and c = 4?

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4) Four friends play four different instruments in the high school marching band. The instruments are a saxophone, a flute, a trumpet, and a clarinet. Thomas does not play the flute, but he does play an instrument similar to the saxophone. Jill does not play the flute. John plays a solo with his brass instrument that has just three keys. Kelly plays one of the four instruments. Who plays which instrument? Use the chart as a guide to help determine who plays what instrument.

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Add and Subtract Whole Numbers and Decimals

5) On April 20th, the balance in Lisa’s checking account was $586.25. Lisa wrote a check to pay for her prom dress on April 23rd for $299.99. She wrote another check to pay for her car payment on April 25th for $219.42. On April 27th, Lisa made a deposit in her checking account for $355.00. What was the balance of Lisa’s checking account on April 28th if all the checks and deposits were posted by the bank?

6) What is the perimeter of the given figure? Assume the opposite sides are congruent.

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One Step Equations

7) Solve for “x”.

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8) Solve for “t”.

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Multiplication and Division of Whole Numbers and Decimals

9) What is the quotient?

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10) The table below lists the scores of ten students on a recent math test. What is the average (mean) score of the ten students? Express the answer to the nearest tenth.

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Scientific Notation and Formulas

11) What is the scientific notation of the given number? State the letter of the correct answer.

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12) A cruise ship travels at an average rate of 36 miles per hour. How far does the cruise ship travel in 15.5 hours? Label the answer correctly.

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Factors, Multiples, and Fractions

13) What is the prime factorization of 84?

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14) What is the LCM of 4 and 10?

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Fractions: Addition and Subtraction

15) What is the sum?

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16) What is the difference?

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Fractions: Multiplication

17) A one and one-eighth ounce bag of cheesy chips contains about 10.7 grams of fat per ounce. ABOUT how many grams of fat are contained in the entire bag of chips?

18) What is the product? State the letter of the correct answer.

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Fractions: Division

19) What is the quotient? State the letter of the correct answer.

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20) Change 3.44 to a mixed number and simplify.

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Measurement: Metric System

21) Seven kilometers equals how many meters?

22) How many liters are equal to 6500 milliliters?

Measurement: Customary System

23) How long is the arrow? Reduce, if possible.

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24) Three square miles cover how many acres? (1 square mile = 640 acres)

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25) What is the Fahrenheit temperature for the given Celsius temperature? Express the answer to the nearest whole degree.

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Introduction to Geometry

26) The base of Pyramid ABCDG sits on plane Z. Name two points that do not lie in plane Z.

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27) Angle DGC measures 76 degrees. (a) What is the measure of Angle AGC? (b) What is the measure of Angle BGC?

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Polygons and Solids

28) What type of triangle CANNOT be found in the given figure? (Remember, the hash marks denote congruent sides and the squares indicate right angles.)

29) What solid is represented by the given net?

Area

30) Estimate the area for the figure below. Assume that each square in the grid is one square inch.

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31) What is the height of the given trapezoid with bases of 10 inches and 6 inches in length and a total area of 120 square inches?

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32) A circle has a radius of 12 feet. (a) What is the area of the circle? (b) What is the area of five sectors of the circle if it is divided into 8 equal sectors?

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33) A speaker with a radius of 4.5 inches is surrounded by a square box with sides that measure 12 inches. What is the area of the front of the box around the speaker (brown texture)? Express the answer rounded to the nearest tenth.

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