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**ALTHOUGH YOU MAY USE YOUR CALCULATOR FOR THIS TEST; YOU MUST STILL SHOW ALL WORK. CALCULATORS TAKE THE PLACE OF SCRATCH NOT STEPS!!!! CHAPTER 7 REVIEW:YOU WILL HAVE QUESTIONS JUST LIKE THIS ON THE TEST Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Jessica ran 5 miles per day for x days in a row. Write an expression to show the total number of miles that Jessica ran. a. 5 ÷ x c. 5 + x b. 5x d. 5– x ____ 2. Write the phrase “the quotient of a and 12” as a numerical or algebraic expression. a. a • 12 c. a ÷ 12 b. 2 ÷ z d. 12 - z ____ 3. Write the decimal 5. 7 in words. a. seven tenths b. five and seven tenths ____ 4. Order the decimals 61.53, 652.12, 65.135, 65.213 from greatest to least. a. 61.53, 65.213, 652.12, 65.135 c. 65.213, 65.135, 61.53, 652.12 b. 652.12, 65.213, 65.135, 61.53 d. 652.12, 65.135, 61.53, 65.213 ____ 5. Find the product of 735.4 x 1000 a. 7,354 c. 735,400 b. 73,054 d. 7,354,000 ____ 6. A group of friends are going to see a movie. The table shows how much different groups will pay in all. How much will a group of 10 pay? # of people 3 5 10 12 Cost ($) 15 25 ? 60 a. 20 dollars b. 30 dollars c. five and seven hundredths d. seven hundredths c. 50 dollars d. 35 dollars ____ 7. Find the missing value in the proportion . 1/9 = n/63 a. n = 0 c. n = 7 b. n = 8 d. n = 567 ____ 8. Brett was absent 2% of the school year. Write 2% as a decimal. a. 0.02 c. 0.2 b. 12.5 d. 0 ____ 9. Jocelyn wants to buy a computer game for $37. If the sales tax is 8%, what is the total cost of the computer game? a. $39.96 c. $35.96 b. $2.96 d. $39.00 Numeric Response 10. Evaluate the expression for 3x-y , for x = 4 and y= 6 . ____________ 11. Given that the first term in a sequence is 4/6 , the third term is 16/24 , the fourth term is 32/48 , and the fifth term is 64/96 , make a table to find the value of the second term. 12. Sammy is entering a bicycle race for charity. His mother pledges $0.75 for every 0.5 miles he bikes. If Sammy bikes 17.5 miles, how much money will his mother donate? Write a proportion and show the 4 steps. 13. About 39 parts out of 50, of the Earth's atmosphere is made up of nitrogen. What percentage of the Earth's atmosphere is not made of nitrogen? 14. A new bike costs $95.00. Derek waits until it is 25% off to buy it. Find the amount that Derek pays for the new bike before tax. Short Answer 15. Maple Point's school store sells balloons for $11.50 per dozen. The sales tax is 6%. a. How much is the sales tax on a dozen balloons? Show your work. b. What will be the total cost of a dozen balloons? Show your work. 16. 17. 18. 19. 20. A total of 325 tickets were sold for the school dance, and 36% of these were sold to boys. How many tickets were sold to boys? Find 25% of 48. Find 33% of 18. Find 6% of 50. Find 40% of 120. CHAPTER 7 Answer Section MULTIPLE CHOICE 1. ANS: B To find the total number of letters Isabel wrote, multiply the number of letters by the number of months. 11x Feedback A B C D Use the operation that means to put together groups of equal parts. Correct! Use the operation that means to put together groups of equal parts. Use the correct operation. PTS: 1 DIF: Average REF: Page 58 OBJ: 2-2.1 Application NAT: 8.5.2.g STA: 2.8.6.C | M6.D.2.2.1 TOP: 2-2 Translate Between Words and Math KEY: expression | algebraic expression 2. ANS: C Use “” when you see these keywords: divided by the quotient Feedback A B C D Look for keywords in the phrase. Check the order of the terms. Correct! Look for keywords in the phrase. PTS: 1 DIF: Average REF: Page 59 OBJ: 2-2.2 Translating Words into Math NAT: 8.5.2.b STA: 2.8.6.C | M6.D.2.2.1 TOP: 2-2 Translate Between Words and Math KEY: expression | algebraic expression 3. ANS: B First, write the number before the decimal point. Then, write the decimal point as “and.” Finally, write the number after the decimal point and use the correct place value. Feedback A B C D First, write the number before the decimal point. Then, write the decimal point as “and.” Finally, write the number after the decimal point and use the correct place value. Correct! Check the place value of the decimal. First, write the number before the decimal point. Then, write the decimal point as “and.” Finally, write the number after the decimal point and use the correct place value. PTS: 1 DIF: Average REF: Page 108 OBJ: 3-1.1 Reading and Writing Decimals NAT: 8.1.1.a STA: 2.1.6.A TOP: 3-1 Representing Comparing and Ordering Decimals KEY: decimal 4. ANS: B Feedback A B C D Look at the decimal point to help you order the numbers. Correct! Order the numbers from greatest to least, not least to greatest. Look at the decimal point to help you order the numbers. PTS: 1 DIF: Advanced NAT: 8.1.1.i STA: 2.1.6.C | M6.A.1.2.1 TOP: 3-1 Representing Comparing and Ordering Decimals KEY: decimal | order 5. ANS: C There are 3 zeros in 1,000. 680.600 To multiply, move the decimal point 3 places right. Write 2 place holder zeros. Feedback A B C D The number of zeros in the power of 10 tells how many places to move the decimal point. First, find the number of zeros in the power of 10. Then, move the decimal point that number of places. Correct! Move the decimal point the correct number of places. PTS: 1 DIF: Average REF: Page 124 OBJ: 3-4.1 Multiplying by Powers of Ten NAT: 8.1.1.f STA: 2.2.6.B | M6.A.3.2.1 TOP: 3-4 Scientific Notation KEY: powers of ten 6. ANS: B The spaceship travels between 400 miles and 1,200 miles in 4 minutes. Multiply the distance the spaceship travels in 2 minutes by 2. The spaceship travels 800 miles in 4 minutes. Feedback A B C D Multiply the distance the spaceship travels in 2 minutes by 2. Correct! Multiply the distance the spaceship travels in 2 minutes by 2. Use the table to find a pattern. PTS: 1 DIF: Average REF: Page 357 OBJ: 7-2.2 Application STA: 2.1.6.D TOP: 7-2 Using Tables to Explore Equivalent Ratios and Rates 7. ANS: C Find the cross products. The cross products are equal. n is multiplied by 9. n=7 Divide both sides by 9 to undo the multiplication. Feedback A B C D Cross multiply. Find the cross products. Correct! First, find the cross products and set them equal. Then, divide to undo the multiplication and solve for the variable. PTS: 1 DIF: Average REF: Page 363 OBJ: 7-3.2 Using Cross Products to Complete Proportions STA: 2.2.6.B | M6.A.3.2.1 TOP: 7-3 Proportions KEY: proportion | cross products 8. ANS: A 8% = Write the percent as a fraction with a denominator of 100. = 0.08 Write the fraction as a decimal. Feedback A B C D Correct! Divide the percent by 100. Divide the percent by 100 by moving the decimal point two places to the left. Divide the percent by 100 by moving the decimal point two places to the left. PTS: 1 DIF: Average REF: Page 382 OBJ: 7-7.5 Application NAT: 8.1.1.e STA: 2.1.6.A TOP: 7-7 Percents KEY: percent | decimal 9. ANS: A Step 1 Round $34.55 to $35. Step 2 6% of $35 = 0.06 • $35 = $2.10 Step 3 Add this amount to $35 to estimate the total cost of the doll. $35 + $2.10 = $37.10 Feedback A B C D Correct! First, round the cost of the doll, and multiply it by the sales tax rate. Then, add the result to the rounded cost. Instead of subtracting, add the sales tax to the cost of the doll. This is the sales tax only. Now, find the total cost of the doll with the sales tax. PTS: 1 DIF: Average REF: Page 395 Tax NAT: 8.1.4.d STA: 2.2.6.B | M6.A.3.2.1 TOP: KEY: sales tax OBJ: 7-10.3 Finding Sales 7-10 Using Percents NUMERIC RESPONSE 10. ANS: 25 PTS: 1 DIF: Average TOP: 2-1 Variables and Expressions 11. ANS: NAT: 8.5.3.c PTS: 1 DIF: Advanced TOP: 7-3 Proportions 12. ANS: 45 STA: 2.8.6.B | M6.D.1.1.1 PTS: 1 DIF: Advanced M6.A.3.2.1 TOP: 7-4 Similar Figures 13. ANS: 261 NAT: 8.3.2.f STA: 2.1.6.D | 2.2.6.B | PTS: 1 DIF: Average M6.A.3.2.1 TOP: 7-6 Scale Drawings and Maps 14. ANS: 84 NAT: 8.3.2.f STA: 2.2.6.B | 2.3.6.F | PTS: 1 DIF: Average NAT: 8.1.1.e TOP: 7-8 Percents Decimals and Fractions 15. ANS: $53.25 PTS: 1 DIF: Average TOP: 7-9 Percent Problems 16. ANS: $404.40 STA: 2.2.6.B | M6.A.3.2.1 STA: 2.2.6.B | M6.A.3.2.1 KEY: multi-step NAT: 8.1.4.d KEY: multi-step STA: 2.2.6.B | M6.A.3.2.1 PTS: 1 DIF: Advanced NAT: 8.1.4.d TOP: 7-10 Using Percents KEY: multi-step STA: 2.2.6.B | M6.A.3.2.1 MATCHING 17. ANS: E PTS: TOP: 7-10 Using Percents 18. ANS: A PTS: 1 DIF: Basic REF: KEY: discount 1 DIF: Basic REF: Page 394 Page 381 STA: 2.1.6.A 19. ANS: STA: 2.1.6.D TOP: 7-7 Percents KEY: percent | model D PTS: 1 DIF: Basic REF: TOP: 7-1 Ratios and Rates KEY: ratio Page 352 SHORT ANSWER 20. ANS: 45 miles Scoring Rubric: 4 The solution is correct, and all of the work is shown as above. or A different logical method is used to find the correct solution. 3 The solution is correct, but not all of the work is shown. 2 The solution is incorrect, but the work shows understanding of the concept. 1 The solution is incorrect, and the work shows no understanding of the concept. PTS: 1 DIF: Average NAT: 8.1.2.b STA: M6.A.3.1.1 KEY: decimal | estimation 21. ANS: 1.77 pounds OBJ: 3-2.PA01 Estimating Decimals TOP: 3-2 Estimating Decimals Scoring Rubric: 4 The solution is correct, and all of the work is shown as above. or A different logical method is used to find the correct solution. 3 The solution is correct, but not all of the work is shown. 2 The solution is incorrect, but the work shows understanding of the concept. 1 The solution is incorrect, and the work shows no understanding of the concept. PTS: 1 DIF: Average OBJ: 3-3.PA02 Adding and Subtracting Decimals NAT: 8.1.3.g STA: 2.2.6.B | M6.A.3.2.1 TOP: 3-3 Adding and Subtracting Decimals KEY: decimal | addition | subtraction 22. ANS: a. $1.11 sales tax = $18.50 • 0.06 = $1.11 b. $19.61 total = price + sales tax total = $18.50 + $1.11 = $19.61 Scoring Rubric: 4 3 2 1 The solution is correct, and all of the work is shown as above. or A different logical method is used to find the correct solution. Both solutions are correct, but not all of the work is shown. The solution for part a is correct, but the solution for part b is incorrect. or The solution for part a is incorrect, but the solution for part b is correct. Both solutions are incorrect, and the work shows no understanding of the concept. PTS: 1 DIF: Average OBJ: 7-10.PA09 Using Percents NAT: 8.1.4.d STA: 2.2.6.B | M6.A.3.2.1 TOP: 7-10 Using Percents KEY: percent | problem solving 23. ANS: The ratios 11 to 12, 22 to 24, 33 to 36, and 44 to 48 are equivalent. Original Ratio 22 11 24 12 33 36 44 48 PTS: 1 DIF: Basic REF: Page 356 OBJ: 7-2.1 Making a Table to Find Equivalent Ratios TOP: 7-2 Using Tables to Explore Equivalent Ratios and Rates 24. ANS: 78% = = Write the percent as a fraction with a denominator of 100. Write the fraction in simplest form. PTS: 1 DIF: Average NAT: 8.1.1.e STA: 2.1.6.A TOP: 25. ANS: 232 pixels Use the proportion . . Cross multiply and solve for x. REF: Page 382 OBJ: 7-7.3 Application 7-7 Percents KEY: percent | fraction PTS: 1 DIF: Average REF: Page 391 OBJ: 7-9.2 Application NAT: 8.1.4.d STA: 2.2.6.B | M6.A.3.2.1 TOP: 7-9 Percent Problems KEY: percent | problem solving 26. ANS: $546.00 Formula for simple interest Substitute P = $350.00, r = 0.08, and t = 7 years. Multiply. To find the total amount in Umeki’s account after 7 years, add the interest to the principal. $350.00 + $196.00 = $546.00 Umeki will have $546.00 in the account after 7 years. PTS: 1 DIF: Average REF: Page 400 Interest NAT: 8.1.4.d STA: 2.3.6.B | M6.A.3.2.1 TOP: KEY: simple interest | interest OBJ: 7-Ext.1 Finding Simple 7-Ext Simple Interest