Decimal Multiplication and Division 1) ) ) ) ) 5.4 x ) x 2

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1 Level B Review Packet This packet briefly reviews the topics covered on the Level A Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below, please visit the Math Center (See our hours here: All questions and concerns about the assessment should be directed to mathcenter@sjfc.edu. Note: A calculator is not allowed on the Level B Math Skills Assessment. Decimal Addition and Subtraction ) ) ) ) Decimal Multiplication and Division ) ) ) ) ). 00 6) 7.05

2 ) Simplify the epression below. - 6 (5 + ) Order of Operations ) Simplify the epression below ) Simplify the epression below ) Simplify the epression below. 4 + (4-9) ) Fraction Addition and Subtraction 4 ) 7 5 ) 4) ) 5 6) 8 5 7) 5 6 8)

3 ) Fraction Multiplication and Division 4 ) 7 5 ) 4) ) 5 6) 8 5 7) 5 6 8) Converting Fractions to Decimals and Percents ) Convert 4 to a decimal and a percent. ) Convert 4 5 to a decimal and a percent. ) Convert 8 to a decimal and a percent. 4) Convert to a decimal and a percent. 8

4 Solving Equations ) Solve for : 5 8 ) Solve for : ( 6) = ( ) ) Solve for : -6 + = ( +) 4) Solve for : ( ) + 5 = 0 5) Solve for : 7-8 = ( + ) + 4 6) Solve for : ) Solve for : 0 8) Solve for : 6 0 Solving Inequalities ) Solve: 4 + ) Solve: ) Solve: ( 4) - > 4) Solve: 9 > 7-4 4

5 ) Evaluate. a b a ( ) if, b a and Evaluating Epressions a b a c ) Find the value of b a, b 4 and c 5. when ) Find the value of a bc c when a, b 4 and c 5. 4) Find the value of, y. 4 5ywhen Solving for a Variable ) Solve in terms of y: ay b c ) Solve in terms of y: by c a ) Solve in terms of y: ay c a 4) Solve in terms of y: b c y ) What value for will make the epression undefined? Undefined ) What value for will make the epression undefined? ) What value for will make the epression undefined? 4) What value for will make the epression undefined? 5

6 Adding Polynomials ) Epress the sum of 4 8and ) Epress the sum of ( 9) and 5 as a 4 5 as a trinomial. trinomial. ) Epress the sum of 4 4 and trinomial. ( ) as a 4) Epress the sum of a trinomial. ( ) and as Subtracting Polynomials ) Subtract 9 5 from 4 8. ) Subtract 4 7 from 6. ) Subtract 4 from. 4) Subtract 4 from 9. 6

7 ) Multiply: 4a b and a b Multiplying Polynomials ) What is the product of 8a b and a b 8? ) Multiply: y 5, 5 z y, and yz 4) What is the product of 4a and 8a? 5) Multiply: ( + 4)( ) 6) Multiply: (4 y)( y) 7) Multiply: ( + 6) 8) Multiply: ( - ) ) Adding and Subtracting Algebraic Fractions 4 ) 7 5 ) 4)

8 ) Write the following epression in simplest form: y 8 7 9y Multiplying Algebraic Fractions ) Write the following epression in simplest form: b c a d 7 4 a d abc 4 ) Write the following epression in simplest form: y 9 y 6y 4) Write the following epression in simplest form: 5 y 0 0y Equations Involving Fractions ) Solve for all values of : ) Solve for all values of : ) Solve for all values of : 6 4) Solve for all values of : 6 8

9 ) Factor completely: Factoring 40. ) Factor completely: 8 6. ) Factor completely: ) Factor completely: 8 0. Solving Quadratic Equations ) Solve: 4 0. ) Solve: 0 0. ) Solve: ) Solve:

10 Writing Epressions and Equations ) Cindy has four more than five times as many cousins as Kathy, k. Write an epression that represents how many cousins Cindy has compared with Kathy? ) Dawn is years older than her sister Sara. If Dawn s age is represented by, which epression represents Sara s age? ) Translate into a mathematical equation: when 7 is added to 4 times a number, n, the result is 5. 4) Write an algebraic equation that represents si less than half a number,, is equal to 5. 0

11 . Bonita bought Problems Involving Fractions kg of potatoes and kg of carrots. How much more potatoes than carrots did she buy? 5. A carpenter made shelves of length did he have left over? 4 ft. and 8 ft. If his board was 8 ft long, how many feet of board. From a piece of ribbon left? inches long, a piece 5 4 inches long is cut. How many inches of ribbon are 4. Joan s room requires 7 0 square yards of carpeting and Sam s room requires 7 square yards of 4 8 carpeting. How many more yards of carpeting does Joan s room require? 5. To roast a turkey for Thanksgiving dinner, Juliette s recipe calls for 4 of an hour cooking time per pound. If her turkey weighs pounds, how many hours should she cook her turkey? 6. About of the land on the earth can be used for farming. Grain crops are grown on about 5 of this land. What part of the earth s land is used for growing grain crops?

12 7. Mrs. Meier had 5 kg of sugar. She used 4 of it to make cookies. How much sugar did she use to make the cookies? 8. Natalie cuts a raffia raffia? Give the answer in meters meters long into 8 pieces of equal length. What is the length of each piece of 9. Four friends evenly split 6 liters of soda. How many liters of soda does each one get? 0. If 4 of a container holds 6 cups of water, how many cups of water does 8 of the same container hold?. The length of a page in a particular book is 8 inches. The top and bottom margins are both 7 8 inch. How long is the page inside the margins, in inches?. Lauren spent of her money on a refrigerator that cost $900. How much money did Lauren start with? 5

13 Problems Involving Percents. The Red So team played 60 games and won 65% of them. How many games did they win?. A basketball player took 400 shots during a season and scored on 40% of them. How many baskets did she score?. A gasoline tank holds 0 gallons. If the tank is already 5% full, how many gallons of gasoline are needed to fill the tank? 4. When the local department store put all of its shirts on sale for 0% off, Jason saved a total of $0 by purchasing four shirts. What was the total price of the four shirts before the sale? 5. Twelve students participated in a science competition to represent Montana State University. If they are 5% of the total number of science majors, how many students are majoring in science at MSU?

14 6. If 6 feet of a 0-foot pole are underground, what percent of the pole s length is above the ground? 7. Stacy won 8 of the 0 tennis games she played. What percent of the games did she win? 8. If 0 out of 500 families in a city have computers, what percentage of the families has computers? 9. Mr. Jenkins wants to distribute 40 fliers. He has distributed 0 fliers so far. What percent of the total number of fliers has Mr. Jenkins distributed? 0. If of John s stamps are Canadian stamps, what percentage of his stamps are Canadian stamps? 5 4

15 Additional Problems. A certain recipe calls for cups of milk for every cups of flour. If cups of flour are used, how many cups of milk should be used?. Carlos burns 75 calories for every 5 minutes he walks. How many calories will Carlos burn if he walks for 45 minutes?. Carlos burns 75 calories for every 5 minutes he walks. Carlos wants to burn 00 calories. How many minutes must Carlos walk in order to burn 00 calories? 4. On the city map, inch represents mile. How many inches represent 4 miles? 5. Ellen buys 4 ounces of green beans at the grocery store. The green beans cost $.90 per pound. How much does she pay for the green beans, before ta? ( pound = 6 ounces) 6. An art teacher mies 0 ounces of yellow paint with 8 ounces of red paint. How many ounces of yellow paint would she need to mi with 8 ounces of red paint to maintain the same proportion? 5