MATH FCAT PREP 2011 - 2012

1. MATH FCAT PREP 2011 - 2012 7THGRADE

2. INTEGERS Solve each equation. a. n + (-24) = 65 b. n = (15 + 25) + 3 c. -3n = -45 d. n/7 = 12 e. n + 42 = 300 f. 86 = n – 8 g. n – (-21) = 100 h. 3/4n = 45 i. 460 = n – 120 j. n = 7² September 6, 2011

3. EXPONENTS • Write using exponents, then solve. a. 8x8x8x8 b. 1x1x1x1x1x1 c. 7x7 d. 9x9x9 e. 12x12x12 f. 5x5x5x5 Write as a product of factors. Then write in standard form. g. 11² h. 5⁴ i. 15⁰ j. 6³ k. 4² x 5² l. 5³ x 6² September 7, 2011

4. SCIENTIFIC NOTATION • Write each number in standard form. a. 7.638 x 10² b. 3.0305 x 10⁵ c. 2.80346 x 10⁹ d. 1.67 x 10⁸ 5. e.75 x 10³ f. 7.0602 x 10⁷ Write each number in scientific notation. g. 725,800,000 h. 0.00000435 i. 87,500 j. 0.0006349 k. 411 l. 23,436 September 8, 2011

5. FRACTION (MIXED REVIEW) • Order from least to greatest. a. ½, ¹/₃, ¹/₇ b. ⁸/₁₁, 2, ¹/₃ c. 2³/₄, ⁸/₃, 2⁷/₈ Compare. Use >, <, =. d. 2 ³/₄ ___ 2 ⁶/₈ d. 1 ³/₈ ___ 1 ⁴/₇ e. ⁷/₈ ___ ⁴/₅ Write an equivalent fraction. f. ³/₉ g. ⁴/₇ h. ²/₁₅ i. ⁵/₁₁ October 3, 2011

6. DECIMALS Find the product. a. $ 2.84 b. $ 45.99 c. $ 0.95 d. $ 235.50 0.080.061.04 0.035 Find the quotient. e. $24.80 ÷ 6 f. $19.63 ÷ 5.4 g. $53.88 ÷ 36 October 4, 2011

7. MIXED REVIEW Find the prime factorization of each number. a. 20 b. 75 c. 42 d. 100 Find the greatest common factor (GCF) of each pair of numbers. e. 20, 45 f. 12, 36 g. 18, 45 Find the least common multiple (LCM) of each pair of numbers. h. 6, 8 i. 8, 12 j. 10, 15 October 5, 2011

8. ONE STEP EQUATIONS Solve each equation. a. -12 = p/13 b. -6 + r = -10 c. 3r = 60 d. -4 = k – 8 e. 3 = k/14 f. -18 = m/11 g. -14 + x = -16 h. 20x = 280 October 6, 2011

9. TWO STEP EQUATIONS Solve each equation. a. -4a+2(a-2)=-18 b. -6+2(3+8n)=-64 c. 5x+3(7-6x)=21 d. 51=-3(5r+3)+3r e. -6(b+8)=-78 f. 4(n+2)-4=-8 g. 5(-3p-1)=-20 h. -(2p-1)=-1 October 31, 2011

10. EXPRESSIONS Evaluate each expression. a. 7 – 8 + (-8)² b. (-3)² +⁴/⁃₂ c. (-3)-(-2)((-6)+3) d. 5-(-9)+6-7 e. 18 x 2 f. (-10)–5-(-4)-7 -4 g. 8+3-(6-3) h. ²⁷/₉-(-9)-6 November 1, 2011

11. PROBLEM SOLVING 1. For a 4-line advertisement, a newspaper charges $1.46 per line for each day. What is the cost to run the advertisement for 5 days? 2. Three towns – Adding, Plus and Minus – are on one straight road. It is 186 km from Adding to Plus. It is 57 km from Minus to Plus. Minus is between Adding and Plus. What is the distance between Adding and Minus? 3. A loaf of wheat bread has 80 calories. One pat of butter has 35 calories. If 2 pats of butter are spread on each slice of bread, how many slices of buttered bread equals 1,500 calories? November 2, 2011

12. MIXED FRACTION REVIEW Add, subtract, multiply or divide. Write your answer in simplest form. a. ³/₄ + ²¹/₁₀₀ b. 14²/₅ ÷ ⁴/₁₅ c. 32 ²/₃ - 28 ⁹/₁₀ d. 6 ³/₄ x 5¹/₃ e. ²⁵/₈₁ x 7 ¹/₅ f. 56 ⁴/₉ - 45 ¹/₁₂ g. 8 ¹/₁₀ ÷ ⁹/₂₅ h. 12 ⁹/₅₆ + 6¹₈ November 3, 2011

13. TWO-STEP EQUATIONS Solve each equation. a. 4y + 1 = 13 b. -8p + 3 = -29 c. 9y + 4.8 = 17.4 d. 35 = 7 + 4b e. -9r + 12 = -24 f. 2 = 4t – 14 g. 6n + 4 = -26 h. 50 = 16q + 2 November 28, 2011

14. FUNCTIONS Complete each function table. a. b. c. November 29, 2011

15. RATIOS Write each ratio as a fraction in simplest form. a. 30 to 12 b. 5:20 c. 49:42 d. 15 to 13 e. 12 ft:10 yds f. 24 min to 18 min g. 75 sec : 2 min November 30, 2011

16. RATES Find each unit rate. Round to the nearest hundredth if necessary. a. 18 people in 3 vans b. $156 for 3 books c. 115 miles in 2 hours d. 8 hits in 22 games e. 65 miles in 2.7 gallons f. 2500 calories in 24 hrs Which the best unit price. g. $12.95 for 3 pounds of nuts or $21.45 for 5 pounds of nuts. December 1, 2011

17. PERCENT OF A NUMBER Find each number. a. Find 20% of 50. b. What is 55% of $400? c. 5% of 1,500 is what number? d. Find 190% of 20. e. 0.25% of 42 is what number? f. What is 12.5% of 60? g. Find 0.2% of 40. g. 8% of $300 is how much? January 9, 2012

18. THE PERCENT PROPORTION Write a proportion for each problem, then find each number. Round to the nearest tenth if necessary. a. What number is 25% of 20? b. What percent of 50 is 20? c. 30 is 75% of what number? d. 40% of what number is 36? e. What number is 20% of 625? f. 12 is what percent of 30? January 10, 2012

19. 9 in. 5 in 4 in. 6 in. 5 in. 5 in. 4 in. 7 in 14 in. Figure A Figure B Figure C Figure D January 11, 2012

20. Use the price list to answer each question. When necessary, round your answer to the nearest penny. Fred’s peaches …………………..$ .69 per pound Fred’s pears……………………….$ . 55 per pound Fred’s grapes……………………..$ . 88 per pound Fred’s bananas………………......$ . 39 per pound Fred’s watermelon……………….$ .29 per pound How many pounds? __?__ pounds grapes Total Cost: $3.08 How many pounds? __?__ pounds peaches Total Cost: $3.45 What is in the package? 6 pounds __?__ Total cost: $2.34 What is in the package? 20.5 pounds __?__ Total Cost: $5.95 January 12, 2012

21. CLOCK GEOMETRY Name two times when the clock hands form an acute angle. Name two times when the clock hands form an obtuse angle. Name two times when the clock hands form a right angle. Name two times when the clock hands form a straight angle. Name two times when the clock hands form an angle of about 60°. Name two times when the clock hands form an angle of about 120°. February 6, 2012

22. ⅜ ⅙ ⅔ ⅕ ⅓ ⅛ ³⁄₄ ⅚ ½ FRACTION GEOMETRY SUM What fractions are in the square only? What fractions are in the triangle only? What is the sum of the fractions in the circle only? What is the sum of the fractions common to the circle and the square? What is the sum of the fractions common to the square & triangle? What is the difference between the sum of the fractions in the square only and in the triangle only? What is the sum of the fractions that are not in the circle and not in the triangle? February 7, 2012

23. LETTER AND WORD RATIOS Write a ratio for each of the following exercises. Vowels to consonants in the word ratio _________________ Consonants to all letters in the word grapefruit ________________ Vowels to all letters in the word envelope _________________ Vowels to consonants in your first name __________________ Consonants to all letters in your last name __________________ Vowels to all letters of the alphabet _________________ Lowercase letters to all letters in the name of your state ____________ Verbs to nouns in Juan ate pears while Edgar gobbled grapes. __________ February 8, 2012

24. A DAY FOR FRACTIONS 1/5 There are 24 hours in a day on Earth. How many hours are in each length of time? ½ of a day ______ 2.1/3of a day _______ 3. ¼ of a day _______ 2/3 of a day ____ 5. 5/6 of a day ______ 6. 7/8 of a day _____ 5/8 of 3 days _____ 8. 2/3 of 4 days ______ 9. ½ of 5 days _____ A day on Venus equals 243 Earth days. How many Earth days are there in each length of time? 2/3 of a day on Venus _________ 11. 1/9 of a day in Venus ________ 12. 1/3 of 2 days on Venus _______ 13. 5/6 of 4 days on Venus ________ February 9, 2012

25. Mixed Review Fill in the blank. 1. 5³ = _____ 2. 21/100 = ____% 3. 14:20 = ___:100 3/8 = 0. _____ 5. ___/50 = 0.48 6. 6.25% = 0.____ ____ to 105 = 1 to 3 8. one half = ____% 9. 0.62 = ____% 10. 80% = ___/40 11. 14/16 = 0.____ 12. 10.5% = 0.____ March 19, 2012

26. AREA / PERIMETER * Square A has sides that measure * Square B has a perimeter of 100 cm 100 cm each. * The area of Square C is 100 cm². * Each of the sides of Square D measures 4 m. * Square E has a perimeter of 4m. * Square F has an area of 4m² Use the Information in the box above to sketch each square, and then answer each question. 1. Which square has the shortest sides? Which square has a side that is congruent to the perimeter of square E? Which square has the greatest perimeter? Which square would fit exactly 4 times into square D? Which would fit exactly 100 times into square A? Which two squares have the same perimeter? Which square has an area that is 16 times greater than that of Square E? March 20, 2012

27. What Number Am I? • Use the clues to find each number. • I am a number between 20 and 30. One of my factors is 4. The sum of my digits is 10. What number am I? ________ • I am a number less than 40. One of my factors is 3. The sum of my digits is 12. What number am I? ________ • I am a multiple of 4 and 5. The sum of my digits is 4. If you divide me by 9, the remainder is 4. What number am I? ________ March 21, 2012

28. What Number am I? • I am a fraction. And proud of it. I am equivalent to 2/3. I can be formed using the digits 5, 0, and What number am I? ________ 2. I am a common multiple of 6 and 8. I am less than 100. When my two digits are reversed, the new number is a multiple of 9. What number am I? ________ 3. I am less than 60, I am 1 less than a number that is a multiple of 2, 3, 4, 5, and 6. What number am I? ________ March 22, 2012

29. FUNCTION MACHINE Make an input-output table, such as the one at the right, for each function. Complete each table using the function rule and the given input values for x. y = x + 2; given x = 1, 2, 3, and 4. y = 10 – x; given x = 3, 4, 5, and 6. y = 1.5x – 5; given x = 4, 5, 6, and 7. y = 7 – 1.5x; given x = 1, 2, 3, and 4. April 9, 2012

30. PROBABILITY & ODDS How many squares are there? Blue ______ Pink ______ Green ______ Total ______ If you place each square into an envelope, shake it up, and pick a square without looking, what is the probability of picking each of the following? Blue _________ Pink ________ Green ________ Suppose you place all the squares into the envelope, and then without looking, pick a blue square. a. What is the probability that you will pick another blue square if you put this square back? __________ b. What is the probability that you will pick another blue square if you do not put this square back? 4. What are the odds in favor of picking a green square? _______ What are the odds against picking a pink square? _________ April 10, 2012