1. Expand and simplify: 9. Determine the area of the triangle. a. 5 b. 2. Simplify: a. ( 3) c. ( 2) d. 4 ( 2) 3. e ( 3) ( 5)

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1 Math 08 Final Exam Review. Expand and simplify: (Section.6). Simplify: ( ) ( ) 00 d. ( ) (Section.,.6,.) (Section.,.,.) 6 ( ) ( ) e (Section.,.6,.) (Section.,.) ( 6 ) (Section.,.,.). Translate into a math expression and find its value: more than the product of 6 and (Section.) the difference of and cubed (Section.). Determine the perimeter of a square if the length of each side is km. (Section.). Determine the perimeter of the rectangle. (Section.) 6. Determine the perimeter of the triangle. (Section.) cm. Determine the circumference of the circle. Use. (Section.8) m m cm cm m cm. Determine the area of the triangle. (Section.8) in in 0. Determine the area of the rectangle. (Section.8). Determine the area of the circle below. Use...6 m. Determine the volume of the solid. (Section.) ft. Determine the volume of the cylinder. Use. (Section.8) cm in. Determine the volume of the sphere. Use. (Section.8) in ft cm ft cm 8. Determine the area of a square if the length of each side is cm. (Section.). Determine the volume of a cube if each side is inches long. (Section.)

2 6. Determine the mean of the following values:,, 6,,, (Section.). The ages of the company employees are 6,,,,, 0, and. Determine the median. (Section.) 8. The temperatures for the past several days were º, 6º, º, º, º, and º. Determine the mode. (Section.). Determine the mean of the values,, 6 6 (Section.) 0. The times (in minutes) for the top six runners were.8,.,.,.,., and.. Determine the median. (Section.). Emily s yearly salary is $60,80. If Emily gets paid 6 times per year, how much does she get per pay period? (Section.,.). Use the chart below to answer the questions that follow. (Section.) What was the total number of visitors in 0? How many more adults visited the park in 0 than in 00?. Write the following as mixed numbers: (Section.). Write the following as an improper fraction: (Section.) 8. Compute the following: (Section.,.) 8 d. e. 8 f. 6. Compute the following: (Section.). Compute the following: (Section.,.) 8 g. 0 h. d. 6 i. e. j. 8. Compute the following: (Section.6) 8 f

3 . A tree is feet tall. When it was first planted it was 8 feet tall. How much did the tree grow from when it was first planted? (Section.8) 0. If a doctor uses of a 600 ml bottle of medicine, how much did she use? (Section.8). There are 0 samples of bacteria each weighing grams. What is the weight of 8 all 0 samples? (Section.8). Convert the following: (Section.,.) 60 inches to feet d. 6 mm to hm ounces to pounds e. 6 cm to m gallon to cups f. 0.8 kg to g. Write the following in simplest fraction form. (Section.) Write 6 as a decimal and round to the hundredths place. (Section.). Compute the following: (Section.) ( ) ( ) ( ) 8 d Compute: (Section.). Sausage costs $. a pound. How much will. pounds cost? 8. A sweater regularly sells for $.. You bought the sweater on sale for $.6. How much money did you save?. How many 0. ounce bags of candy can I fill from a ounce bag of candy? 0. Rewrite x using the Commutative Property of Addition. (Section.). Rewrite using the Associative Property of Multiplication. (Section.). What is the additive inverse of (-)? (Section.). What is the reciprocal of? (Section.). Simplify the following: (Section.) x y y 6x. 6a 8 a b 6 b. Simplify: a a 8 (Section.) (8x ) (6m ) (6 x ) 6. Evaluate xy when x and y. (Section.). Is x a solution of x 8? (Section.) 8. Translate the following into an equation and then solve the equation. (Section.) Five less than two times a number is. The sum of one-third of a number and is.

4 . Solve the following equations: x f. y. (Section.) (Section.6) x 68 g. xx 6 (Section.) (Section.6) x h. x (Section.) (Section.6) z d. i. (x ) (Section.) (Section.6) e. a j. ( x) 8x (Section.) (Section.6) 0. Write the ratio of 8 to in simplest fraction form. (Section 6.). Write the ratio of :80 in simplest fraction form. (Section 6.). Refer to the monthly budget shown below. In lowest terms, give the ratio of the amount budgeted for gas and electric to the total budget. (Section 6.) Item Amount Rent $00 Food $00 Gas and electric $00 Phone $00 Entertainment $00. There are women and men in a room. What is the ratio of men to adults? (Section 6.). There are 0 students and computers at the school. In simplest fractional form, give the ratio of computers to students? (Section 6.). Hanna hiked 0 km in 6 hours. What was her rate in simplest fractional form? (Section 6.) 6. A painter earned $.0 for hours of work. What is the painter s unit rate of pay? (Section 6.). A 6-ounce box of cereal cost $. and an 8-ounce box cost $.8. Which is the better deal? (Section 6.) 8. Solve the following proportions: (Section 6.) 6 n n n. A solution calls for ml of a drug for every 8 liters of water. How much water is needed for. ml of the drug? (Section 6.) 60. If. pounds of carriage bolts costs $.80, how much will. pounds cost? (Section 6.) 6. When billing a household, a utility company charges for the kilowatt-hours used. A kilowatt-hour (kwh) is a standard measure of electricity. If the cost of kwh is $0., what is the electricity bill for a household using 8 kwh in a month? Round the answer to the nearest cent. (Section 6.,.6) 6. Write 8 (Section.) as a percent. 6. Write the following in simplest fraction form: (Section.) 8% 0% %

5 6. Write % as a decimal. (Section.) 6. Write 0.6 as a percent. (Section.) 66. is % of what number? (Section.) 6. What percent of 0 is? (Section.) 68. What is % of 00? (Section.) 6. A family s total monthly expenses are $600. The graph below shows the breakdown of the expenses. Use the graph to answer the questions that follow. (Section.) 0. What is the simple interest on a loan of $0,000 for years if the interest rate is 8.%? (Section.). An automobile company is recalling 8% of its cars sold in Baltimore. If 0 cars were sold in Baltimore, how many cars are being recalled? (Section.). Alison bought a sofa for $ and paid $. in tax. What is the tax rate? (Section.). Andre is paid.% commission on his sales. If he wants to earn $00 in commission, what amount of sales must he make? (Section.). What simple annual interest rate is needed for an investment to grow from $000 to $00 in 6 years? (Section.) What amount is spent on rent? What amount is spent on food and utilities combined? How much more is spent on utilities than on food?. A shirt costs $ and a pair of pants costs $0. If sales tax is 6%, do I have enough to buy both with $00? Explain why or why not. (Section.) 6. How much time does it take an investment of $00 to double in value if the annual simple interest rate is %? (Section.)

6 Math 08 Final Exam Review Answers (Form A) d. - e.. 6( ). 0 km. m 6. cm. m 8. cm. 6 in yd = yd. 66. m. 80 ft. 88 cm. 6 cm = cm. in º $, d. e. f. 6.. d e. f. g. h. i. j feet 0 feet ml. grams grams. feet lbs lbs 6 cups d hm e. 6. m f. 80 g

7 . a d $.8 8. $8.. 0 bags 0. x.... xy 0. ab. a 8. x 6m 0 x No 8. x x x x. x 6 x. x d. z 6 e. a f. y g. x h. x i. x j. x men adults computer students km hrs 6. $. per hour. 8-ounce box 8. n n 0. n 6 liters of water 60. $ $ % % % $88 $00 $60 0. $, cars. 6%. $0,000. %. No, $00.0 is needed