These topics are covered in this review.

 A. Exponents and Radicals B. Algebra: Multiplying and Dividing C. Solving Equations D. Solving Word Problems Mathtub Index

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A/ EXPONENTS AND RADICALS :

1) Simplify: (answers must have only positive exponents.)

 a) (– 5)(– ax2 )(– ax)2 b) (y –1 z –1) –2 c) ( x – z y – z ) 0 d) (2x4y –3z 0) 3 e) (121a 4 b – 2 c 0 d – 5 ) ÷ (– 11a 2 b 2 c 2 d 2 ) f) (–72m 0 n 5 y 6) ÷ (– 6m 2 n –3 y 2 ) g) h) ( 4m 5 n – 3 ) (3m – 2 n 3 ) i) m – 1 n – 2 p 0

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2) Simplify these expressions :

 a) b) c) d) e) f) g) h) i) .

B/ ALGEBRA: MULTIPLYING AND DIVIDING

3) Multiply or divide these expressions and collect like terms :

 a) (2x – 3) (3x + 5) b) – 4 (3x + 2)(x – 1) c) x2 (4 – 2x)(1 + 4x) d) 2x (x2 – 3x + 1) – x (–3x2 – 5x + 3) e) x 2 y 3 (4x 5 y – 2 + 2x – 4 y – x – 2 y – 3 ) f) (2x – 4)2 + (x + 2)2 – 3(x – 5)(x + 2) g) .

C/ SOLVING EQUATIONS:

4) Solve these equations :

 a) b) c) d) 2x(x –7) + 3(x 2 – 4x + 2) = 5(5 + 5x + x 2)

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D/ SOLVING WORD PROBLEMS:

5) Solve these word problems with a chart for all and a diagram where needed :

a) I reached into my pocket and found \$2.30 made up of nickels, dimes and quarters.

The number of nickels was twice the number of dimes,

and 4 times the number of quarters was equal to 3 times the number of nickels.

How many of each coin did I find?

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b) A grocer has 100 kg of almonds at \$2.25/kg and 400 kg of cashews at \$1.90/kg

that he wishes to sell as a mixture.

For what price per kilogram should the mixture sell?

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c) Another grocer has 200 kg of shelled pistachios which sell for \$3.50/kg.

He decides to mix them with peanuts that sell for \$1.00/kg to make a mixture

that will sell for \$2.20/kg.

How many kilograms of peanuts should he add in order to break even?

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d) Mike's father's age is now 5 times Mike's age.

Five years ago, Mike's father was 10 times as old as he was then.

How old are they now?

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e) Montreal and Toronto are 600 km apart. Ryan starts from Toronto

heading towards Montreal, travelling at 120 km/hr.

At the same time that Norman leaves Montreal heading for Toronto.

Norman travels at 130 km/hr.

i) How long will it take them to meet? ii) How far from Toronto will they meet?

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f) The following data represent the dollar amounts

spent for textbooks during the present semester by

a sample of 35 students at McGill University.

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57, 34, 27, 41, 25, 18, 39, 33, 37, 39,

38, 47, 31, 42, 60, 58, 31, 47, 37, 16,

64, 34, 41, 43, 50, 46, 63, 51, 41, 30,

42, 37, 48, 28, 34

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i) using your calculator, find the mean, median and mode of this distribution.

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ii) Starting with \$15 as the lower limit for the first class,

and using an interval of \$10, organize the data into a

frequency table below and fill in the blanks.

 class frequency cumulative frequency relative frequency % midvalue subtotal total

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iii) Find the estimated mean, the median and modal class.

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