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BOISE STATE MATH 143 - Test #1

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MATH 143 002 – Test #1– 9/21/05 – Name: 1Sun Feb 8 15:23:12 MST 2009 /m143.fa05/handouts143/t1 143 921/t1 143 921This with-calculator portion of the test consists of just two problems.1 My neighbor’s house sits on an absolutely smooth, level, lot. His house walls are perfectlyvertical. He has found a Canadian-government website which recommends the followingfor placement of extension ladders:“Place the ladder feet so that the horizontal distance between the feet and thebase of the wall is 1/4 of the length of the ladder.”Suppose my neighbor follows this rule in setting up a long ladder. He puts the ladder’s feet8 feet out from the base of the wall.Show steps in figuring the length of the ladder. Also show steps in figuring how far up thewall the ladder reaches. Round your answers to three decimal places.2 To four decimal places,pπ + π2/3≈MATH 143 002 – Test #1– 9/21/05 – Name: 2This part of the test has pages 2 – 7. Take a moment to make sure you have them all.3 Simplify to a form not involving negative or zero exponents:2a3b−23a4b−334 Find all solutions of the equation3x − 3x−4x − 3x − 1=3x2− xShow steps.MATH 143 002 – Test #1– 9/21/05 – Name: 35 Carry out the operations (that is, add, subtract, multiply, or divide as indicated) andsimplify:(a)x2+ x − 6x2− 5x + 6(b)x2+ x − 6−x2− 5x + 6(c)x2+ x − 62(d) In lowest terms:1x2+ x − 6−1x2− 5x + 6MATH 143 002 – Test #1– 9/21/05 – Name: 46 Simplify:(a)4ab−1− 4a−1bb−1+ a−1(b)(4ab−1)(4a−1b)b−1a−17 Factor:(a) 2 (x − 10) (x − 12)3+ 3 (x − 10)2(x − 12)2MATH 143 002 – Test #1– 9/21/05 – Name: 58 In the following figure suppose that AE = 30 (that is, it’s 30 units from point A topoint E), AB = 24, and DE = 15. Find the lengths BE and CD.EDCBAMATH 143 002 – Test #1– 9/21/05 – Name: 69 Show equation-solving steps in finding all x-values for which the following equation holds:p25 − x2= 5 − 2x10 Show steps in solving the inequalityx + 1(x − 2)(x + 3)> 0.Announce your answer two ways:(i) as a number-line graph (ii) in interval notation.MATH 143 002 – Test #1– 9/21/05 – Name: 711 The theory of the quadratic formula:(a) State the quadratic formula. That is, write down this formula and explain briefly whatit’s a formula for.(b) Derive the quadratic formula. That is, show why the formula is true by deriving itfrom more basic


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BOISE STATE MATH 143 - Test #1

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