5. Simplify completely. (Assume any variable in the denominator is nonzero.)

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1 MATD 0330 BASIC MATH SKILLS REVIEW FOR TEST (No Calculator Allowe Allowed Materials: Scratch Paper Only Test 1 is comprehensive and covers new material from:.4.6, , and Write 89 6 as a mixed number.. Write 17 8 as an improper fraction. 3. Find an equivalent fraction with the given denominator: 4. Find an equivalent fraction with the given denominator: 3? = ? = 8 48x. Simplify completely. (Assume any variable in the denominator is nonzero.) a) b) c) x 68x 36x 60xy 6. From the numbers 0, 1,, 9, 13, 17, 7, 37, 49, 7, 91, list those that are: a) prime b) composite c) neither 7. Without actually dividing, determine if 4071 is or is not divisible by each of these numbers, and explain why or why not: a) b) 3 c) 8. Express 04 as a product of prime factors. 9. Identify each polynomial as a monomial, binomial, or trinomial. a) 9x 8 + x 3 c) y 4y b) 1 a Multiply. Leave your answer in exponent form. a) x 8 x x x c) (3y 4 )( 4y )(6y) b) ( a )(b 3 )(4a )( b 3 )

2 MATD 0330 Basic Math Skills - Review for Test Page of Simplify. a) ( a) + ( a) (7x 4 ) + ( x ) b) ( a) ( a) (7x 4 ) ( x ) c) ( a)( a) f) (7x 4 )( x ) 1. Simplify. a) a(a 3 ) c) (8x 4 + x)( 3x) b) y (4y 4 y) y (6y 4 3y 3 7y + y + ) y y Perform the operations indicated. a) ( 13)( 7) b) ( 11) ( ) c) ( 4) ( )( 1)( 9) f) g) Evaluate. a) 4 b) ( ) 4 c) ( ) 4 1. Evaluate. a) y for y = 4 b) y for y = 4 c) y for y = Evaluate. a) 6 4(8 3) b) 3(9 4 ) c) 3(9 4) x y for x = 1 and y = h) 6 4 i) 7 0 j) 0 7 k) 8 7 l) 6 ( 8) m) 7 ( 9) n) o) p) ( ) 3 f) ( ) 3 x 3 for x = 3 x 3 for x = 3 f) x 3 for x = 3 [ 16 4( ) ] (13 1) f) y y 3 for y = 4 g) 3x x for x = 6

3 MATD 0330 Basic Math Skills - Review for Test Page 3 of Solve: y = Solve: x 307 = Solve: 4( 9) = y 7 0. Solve: 3x = Solve: 48 = (4y). Solve: (x 3) = 7 3. For the shape made of rectangles, find (a) the perimeter and (b) the area. 0 ft 10 ft 13 ft 6 ft 4. Find (a) the perimeter and (b) the area of the parallelogram shown. 14 in. 1 in. 18 in.. Find the measure of 1 if the measure of 4 = Find the length, x, of the unknown side of the triangle if its perimeter is 6 cm. 7. Maria answered 18 out of 4 questions correctly on a test. What fractional part of the questions did she answer incorrectly?

4 MATD 0330 Basic Math Skills - Review for Test Page 4 of 7 8. What is the maximum amount of fluid that a 6-inch cube can hold? 9. A lap pool is 3 feet wide, 100 feet long, and feet high. What volume of water can be placed in the pool? 30. During a cold night in Montana, the temperature dropped 4 degrees Fahrenheit each hour for hours. Express the total drop in temperature as an integer. Include the appropriate sign in your answer. 31. During a hurricane, 1 out of 6 windows in a hotel were shattered. What fractional part of the windows were not shattered by the hurricane? 3. Liam is purchasing carpet for his office, which measures 1 feet long and 1 feet wide. The carpet he plans to purchase is priced at $1 per square yard. (a) How many square yards of carpet must he purchase for the office? (b) How much will the carpet cost? 33. The length (L) of a room is double the width (W). (a) Translate the statement into an equation. (b) Find the width of the room if the length is 38 feet. 34. The number of female students (F) in a class is triple the number of male students (M) in the class. (a) Translate the statement into an equation. (b) If there are 4 female students in the class, find the number of male students in the class. 3. Find the area of a rectangle that has a length of (3y 7) and width of y 4. Include a picture which shows the length and width.

5 MATD 0330 Basic Math Skills - Review for Test Page of 7 ANSWERS x 48x. a) b) 1 7 c) or a) prime:, 13, 17, 37 b) composite: 9, 7, 49, 7, 91 c) neither: 0, 1 3 y 3 4x 7. a) is not divisible by because 4071 is not even (doesn't end in 0,, 4, 6, 8) b) is divisible by 3 because = 1, which is divisible by 3 c) is not divisible by because 4071 doesn't end in 0 or (ends in 1) = 3 3 7, or 04 = a) trinomial c) binomial b) monomial monomial 10. Multiply. Leave your answer in exponent form. a) x 16 c) 7y 7 b) a 7 b a) 3a 7x 4 x (can't combine unlike terms) b) a 7x 4 + x (can't combine unlike terms) c) a f) 14x 9 1. a) a 4 a c) 4x 1x b) 8y 6 + y 3 31y y + 3y 4 y 3 10y

6 MATD 0330 Basic Math Skills - Review for Test Page 6 of 7 ANSWERS 13. a) 91 b) 7 c) undefined f) 70 g) 3 h) 14 i) undefined j) 0 k) 4 l) 7 m) 8 n) 48 o) 4 p) a) ()()()() = 16 b) ( )( )( )( ) = 16 c) ( )( )( )( ) = 16 ()()() = 1 ( )( )( ) = 1 f) ( )( )( ) = 1 1. a) ( 4) = ( 4)( 4) = 16 b) (4) = (4)(4) = 16 c) ( 4) = ( 4)( 4) = a) 14 b) 1 c) 7 1 ( 3) 3 = ( 3)( 3)( 3) = 7 (3) 3 = (3)(3)(3) = 7 f) ( 3) 3 = ( 3)( 3)( 3) = 7 4 f) 6 g) y = x = y = 1 0. x = 0 1. y = 6. x = 6 3. a) The perimeter is 60 ft. b) The area is 148 ft or square feet.

7 MATD 0330 Basic Math Skills - Review for Test Page 7 of 7 ANSWERS 4. a) The perimeter is 64 in. b) The area is 16 in or square inches.. measure of 1 = 4 6. x = 13 cm 7. Maria answered 1 4 of the questions incorrectly. 8. Volume = (length)(width)(height) = (6 in)(6 in)(6 in) = 16 in 3 or cubic inches 9. Volume = (length)(width)(height) = (100 ft)(3 ft)( ft) = 17,00 ft 3 or cubic feet F of the windows were not shattered 3. a) Area = (length)(width) = (7 yards)( yards) = 3 square yards, or 3 yd b) Total cost = (3 yd )($1/yd ) = $ a) L = W b) 38 = W W = 19 feet 34. a) F = 3M b) 4 = 3M M = 8 male students in the class 3. Area = (length)(width) = (3y 7)(y 4 ) = 3y 9 7y 4 (3y 7) y 4