Beginning and Intermediate Algebra by S. Messersmith

By S. Messersmith

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Did you evaluate it using the order of operations? Let’s look at that expression: mes47759_ch01_001-025 10/22/2007 16:48 Page 22 pinnacle 201:MHIA038:mhmes2:mes2ch01: 22 Chapter 1 The Real Number System and Geometry Example 3 Evaluate 36 Ϫ 12 Ϭ 4 ϩ (6 Ϫ 1) 2. Solution 36 Ϫ 12 Ϭ 4 ϩ (6 Ϫ 1) 2 36 Ϫ 12 Ϭ 4 ϩ 52 36 Ϫ 12 Ϭ 4 ϩ 25 36 Ϫ 3 ϩ 25 33 ϩ 25 58 First, perform the operation in the parentheses. Exponents are done before division, addition, and subtraction. Perform division before addition and subtraction.

How much will the fence cost? 72) A plot of land in the shape of a trapezoid has the dimensions given in the figure. Find the area and perimeter of this property. 39 2 in. 4 in. 4 Sets of Numbers and Absolute Value Objectives 1. Identify Numbers and Graph Them on a Number Line 2. Compare Numbers Using Inequality Symbols 3. Find the Additive Inverse and Absolute Value of a Number 1. 1, we defined the following sets of numbers: Natural numbers: {1, 2, 3, 4, . } Whole Numbers: {0, 1, 2, 3, 4, . } We will begin this section by discussing other sets of numbers.

For some familiar shapes, we have the following formulas: Figure Rectangle: l Perimeter Area P ϭ 2l ϩ 2w A ϭ lw P ϭ 4s A ϭ s2 Pϭaϩbϩc Aϭ P ϭ 2a ϩ 2b A ϭ bh P ϭ a ϩ c ϩ b1 ϩ b2 Aϭ w Square: s s Triangle: h ϭ height c a h b Parallelogram: h ϭ height b a h a b Trapezoid: h ϭ height b2 a 1 bh 2 1 h(b1 ϩ b2 ) 2 c h b1 The perimeter of a circle is called the circumference. The radius, r, is the distance from the center of the circle to a point on the circle. A line segment that passes through the center of the circle and has its endpoints on the circle is called a diameter.

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