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MA08 Pre-Algebra OPTIONAL EXTRA CREDIT 1st Semester Review Lincoln High School has 429 freshmen, 396 sophomores, 503 juniors, and 367 seniors. 1) Using the above information, what is the best estimate for the total number of students who attend Lincoln High School? 2) Using the above information, about how many more freshmen and sophomores are there than juniors and seniors at Lincoln High School? 3) What is the simplified form of the following 9 (16 5) 2 2 2 2 ? 4) What is the value of the following expression if a = 4, b = 5, and c = 6? 5) Which correctly replaces the with <, >, or = ? -0.4 A < B = C > MPS 2011 / MA08 1st Semester Review 11 7 1 6) Which correctly orders –2.7, 3 5 , 2 8 , 3 9 from greatest to least? 1 A 2 8 , 3 5 , 3 9 , –2.7 B 3 5 , 3 9 , 2 8 , –2.7 C 3 9 , 3 5 , –2.7, 2 8 D 3 5 , 3 9 , –2.7, 2 8 E none of the above 7 1 1 1 1 1 1 1 7 1 1 7 7 7 Write each number in scientific notation. 7) 2,825,000 8) 0.0000002447 9) Are whole numbers always, sometimes, or never irrational numbers? A sometimes B always C never MPS 2011 / MA08 1st Semester Review 2 Tamara works in the gift-wrapping department of a retail store. The table shows the number of gifts the department wrapped between 3:00 and 4:45 P.M. Time Gifts Wrapped 3:00 0 3:30 34 4:05 56 4:45 109 10) What is the rate of change in gifts wrapped per minute between 3:30 and 4:05 P.M.? 11) During which time period did the department’s gift-wrapping rate increase the fastest? A 3:00 – 3:30 B 3:30 – 4:05 C 4:05 – 4:45 D the rates were all about the same y 12) What is the slope of the line? (Š1, 0) x (1, Š4) Mandy and Juanita have each opened a bank account to save money for a camping trip next summer. Their savings account balances over the past few months are shown in the graph. 500 Balance 450 (5, 450) 400 Juanita 350 M andy 300 250 13) What does the slope of each line represent? A the total amount saved to date B the cost of the camping trip C the beginning balance of the account D the amount saved each month MPS 2011 / MA08 1st Semester Review (0, 250) (3, 250) 200 150 100 (0, 100) 50 1 2 3 4 5 Months 3 14) What would the slope of Mandy’s line be if she saved an additional $12 each month? 15) What is 60% of 76? 16) What percent of 4000 is 1200? A 48% B 30% C D 17) 0.3% 420 is 25% of what number? What is the percent of change? Round to the nearest tenth if necessary. State whether the percent of change is an increase or a decrease. 18) original: 30 new: 40 19) original: 30 new: 18 Find the simple interest to the nearest cent 20) $150 at 6.5% for 3 years. 21) $2,000 at 12% for 18 months. 22) If Margo placed $1,014 in a savings account for 2 years, how much interest would she earn if the simple interest rate is 3.75%? A $76.05 B $7,605 C $76,050 D $760.50 MPS 2011 / MA08 1st Semester Review 4 Number of Classmates Compact Discs Owned by Classmates 10 9 8 7 6 5 4 3 2 0 50 1 to 60 0 0 50 40 1 to 40 0 30 1 to 30 20 to to 20 1 to 0 10 1 10 0 0 1 Number of CDs Owned 23) How many classmates own more less than 300 CDs? MPS 2011 / MA08 1st Semester Review 5 Mathematics Achievement of 8th Grade Students in U.S. in 1996 Number of States 20 18 16 14 12 10 8 6 4 0 N A to 2 21 0 to 4 1 40 to 6 1 60 to 80 2 24) Percent of Students Scoring At or Above Proficient Level Source: The World Almanac In how many states did less than 60% of the students score proficient or better? Solve each problem by writing and solving an equation. 25) Amelia decided to order breadsticks and a pizza. The pizza cost $10.50 and each breadstick costs $0.75. If Amelia’s bill was $13.50, how many breadsticks did Amelia order? 26) You and two of your friends go to the movies. Each ticket costs $7.50. You share the cost of the popcorn. If each person pays $9.05, how much was the popcorn? 27) Student Council is selling T–shirts. The T–Shirt Shack charges a $250 printing fee and $8 per T–shirt. If Student Council charges $10 per T–shirt, how many T– shirts must Student Council sell to break even? MPS 2011 / MA08 1st Semester Review 6 Graph each inequality on a number line. 28) j≤0 29) 3>n 30) Demi and Marcus decided to equally share the cost of a new tent. At most, each is willing to pay $47.00. Write and solve an inequality to determine the most they can spend on the new tent. 31) What is the function value of f(5) if f(x) = –7x + 3? MPS 2011 / MA08 1st Semester Review 7 32) Which is the graph of. y = 2x – 3? A y 5 B 4 y 3 2 5 1 4 3 Š5 Š4 Š3 Š2 Š1 Š1 1 2 3 4 5 x 2 1 Š2 Š3 Š4 Š5 Š4 Š3 Š2 Š1 Š1 Š5 Š2 1 2 3 4 5 x 1 2 3 4 5 x Š3 Š4 Š5 C y 5 D 4 y 3 2 5 1 4 3 Š5 Š4 Š3 Š2 Š1 Š1 1 2 3 4 5 x 2 1 Š2 Š3 Š4 Š5 Š4 Š3 Š2 Š1 Š1 Š5 Š2 Š3 Š4 Š5 MPS 2011 / MA08 1st Semester Review 8 33) 1 Graph each equation using the slope and the y–intercept. y = - 3 x + 2 A B y Š5 Š4 Š3 Š2 y 5 5 4 4 3 3 2 2 1 1 Š1 Š1 1 2 3 4 5 Š5 x Š4 Š3 Š2 Š1 Š1 Š2 Š2 Š3 Š3 Š4 Š4 Š5 Š5 C 1 2 3 4 5 x 1 2 3 4 5 x D y Š5 Š4 Š3 MPS 2011 / MA08 1st Semester Review Š2 y 5 5 4 4 3 3 2 2 1 1 Š1 Š1 1 2 3 4 5 x Š5 Š4 Š3 Š2 Š1 Š1 Š2 Š2 Š3 Š3 Š4 Š4 Š5 Š5 9 34) Graph each equation using the slope and the y–intercept. y = 4x – 1.5 A B y Š5 Š4 Š3 Š2 y 5 5 4 4 3 3 2 2 1 1 Š1 Š1 1 2 3 4 5 Š5 x Š4 Š3 Š2 Š1 Š1 Š2 Š2 Š3 Š3 Š4 Š4 Š5 Š5 C 1 2 3 4 5 x 1 2 3 4 5 x D y Š5 Š4 Š3 MPS 2011 / MA08 1st Semester Review Š2 y 5 5 4 4 3 3 2 2 1 1 Š1 Š1 1 2 3 4 5 x Š5 Š4 Š3 Š2 Š1 Š1 Š2 Š2 Š3 Š3 Š4 Š4 Š5 Š5 10 MPS 2011 / MA08 1st Semester Review 11