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Math 130B – Quiz 1 Spring 2006 1. Use the following set of numbers to give me an example; - 2, 3, ½, 0.02, 3 , and 0 a) a real number that is not rational: ____________ b) a whole number that is not a natural number: ___________ c) an integer that is not a whole number: ____________ d) a rational number that is not an integer: ________ 2.Identify the property that is being used; a + b = b + a → _________________________________ a + ( b + c ) = ( a + b ) + c → ________________________ 3. Find a) the smallest prime number: ____________ b) the smallest positive whole number: _______________ c) all real numbers that are not positive or negative: ________ 4. What is the additive inverse of -2/3 ? ___________ What is the multiplicative identity ? ________ 5. If you can walk 320 steps per 5 minutes, then how many steps will you walk in hour ? ___________ There are 2400 balls that are to be boxed. You put 40 ball per box. How many boxes will you need ? 6. Find ( - 21 ) • ( - 4 ) = ____________ ( - 240 ) - ( - 40 ) = _____________ ( - 2 ½ ) + ( - ¾ ) =_____________ 8. Use the rules of exponents to simplify. a) 2x2 • 3x4 = __________ d) 4x = ________ 2x 2 b) - 4xy3 • 2x2y3 = _________ e) 4 xy = _________ 12 x 2 c) ( -4x4 ) 3 = ________ f) 40 x = ________ 2x 2 y Math 130B – Quiz 2 Spring 2006 1. Which of these is (are) not polynomial(s) ? 2x -3 2x2y + 2 - ½ xy x2 y z 21/2 + x 2. What is the degree of each of the following - 4x2 → _____________ 2x + y → _____________ x2y5 + 28 → __________ 3. A binomial has _____________ terms ( how many ) 4. If a polynomial has three terms we call it a ___________________ 5. If a polynomial has two factors and one term then we call it a _________________ 6. Find the products 2x2 ( x + 2xy ) = ___________________ 7. ( x – 2y ) ( x + y ) = _________________________ Use the order of operations to simplify 4 – 8 ÷ 2 = ______________ 42 ÷ 16 – 4 + ( - 12 ) = ____________ 3 – 2 [ 2 – ( 1 – 3 ) ] = ____________ 8. Evaluate the following if x = -1 and y = 0 xy – x = ____________ - x2 + 4y = _____________ 9. If the area for a circle is given by A = πr 2, find the area for a circle with diameter of 14 inches and π = 22/7. _________ 10. GCF of 42 and 36. __________________ LCM of 12 and 16. _____________ Math 130B – Short Quiz #3 Jan. 31, 2006 1. Which of these equations is a first degree equation ? 2 + x = 17 2. 3x2 – x – 5 = 0 x + 2y = 3 xy + x – 3 = 0 Is x = -2 a solution of - x 2 – 4x = 12 ? Show Work 3. Find the solution of each of the following equations. SHOW WORK. a) 2x = - ¼ b) x x2 3 2 x = __________ c) 2 – 3( x – 4 ) = - 3 x = __________ d) 0.12x = 3.6 x = __________ e) 1 – 2 [ 3 – 2 ( 3 – x ) ] = 4 x = __________ f) 2x - x = __________ g) 3 1 1 x x 4 3 2 x = __________ 3 7 = 5 3 x = __________ h) x ( 1 – 2x ) = 2x ( x + 1 ) + 4 x = __________ Math 130B – Short Quiz #4 Feb. 2, 2006 1. True or False a) - 4 > 2 c) 2. - 12 ≥ -12 b) d) If x is a whole number, then –x < x 2.5 ≤ 5/2 Graph on a number line b) x ≥ a) x < - 2.4 2 3. Is x = - 2 a solution to the following inequality ? 2–3(x+2)> 4 4. Find the solution to each of the following inequalities. a) 4 – 2x > - 2 c) 2x – 3 < 2 + 3 ( x – 2 ) e) x - 2/3 ≥ 4x + 5/6 b) 3 x5 4 d) 3 3 ( x 1 / 4) 5 10 Math 130B – Short Quiz #5 Feb. 7, 2006 1. Find each of the following absolute values | x2 | = _______________ | - 2 /7 | = ____________ if x is a whole number, find | 1 – 3x | = ____________________ 2. List all the values of x so that | x | = - 2 _________________ List all the values of x so that | x + 3 | = 0 _______________ For what integer values of x will | 2x | = 12 ? ______________ 3. 4. Which one has the largest absolute value a or c ? assume that graph clearly indicated their location on the number line. | | | b 0 a Is x = -2 a solution of | x2 – 2x | = 8 ? _____________ 5. Does an absolute value always have to be positive ? _________________