Math 208 Week One Individual

Chapter 1 air division 1. 1 Write the musical interval of real numbers in interval notation and graph it. enter good example 5. 50. The set of real numbers less than or able to -4 Consider the following nine integers -4, -3, -2, -1, 0, 1, 2, 3, 4 94. Which of these integers has an absolute value great than 1? settlement -4, -3, -2, 2, 3, 4 Write the interval notation for the interval of real numbers shown in the graph. __________________ -50 -40 -30 -20 -10 0 A B mention replace a with (-3) and evaluate each expression. Which are positive and which interdict? a)-3 solution positive (b)-3 solution positive (c)-3 solution negative (d)-(-3) = 3 solution negative (e)--3 solution negative Chapter 1 discussion section 1. 2 Build up the work out so that it is equivalent to the member with the indicated denominator. attend Example 1. 5/7=? /98 (fraction problem) Let the scatty number be x then Therefore, Convert the given fraction to both decimal and percent. show Example 8 or design a calculator. 19/20 = 0. 95, 95% Perform the indicated operations. See Example 7c. Chapter 1 Section 1. 3Fill the correct value in the parentheses to make the asseveration correct. See Example 4. Solution -9-(-2. 3) = -9 + 2. 3 Perform the indicated operations. -19-13=-32 Perform the indicated operations. 15 + (-39) = 15 39 = -24 Fill in the correct value in the parentheses so the equivalence is correct. Let the missing number be x then 13 + x = -4 Subtract 13 from each side, we pass on get x = -4 13 = -17 13 + (-17) = -4 Answer -17 Chapter 1 Section 1. 4 Perform the indicated operation. (-8)(-6) = 48 Perform the indicated operations and reduce to utmost terms. 9/10 x4/3 Solution = 36/30 = -6/5 Fill in the correct value in the parentheses so the equation is correct. -48 divided by ( )=6 -48/ x = 6 ?-48 = 6x ?x = -48/6 = -8 Therefore, -48 (-8) = 6 Chapter 1 Section 1. 5 Evaluate the expression use commit of operations.. See Example 8. 3(2-3)2 +6(6-4)2 = 3(-1) 2 + 6*(2)2 = 31 + 24 = 3*25 = 75 Evaluate each expression exploitation order of operations.. See Example 8 a) 8 3 5 4 + 1 = 8 35-16+ 1 = 8 3-10 = 8-3*10 = 8 30 = -22 Chapter 1 Section 1. 6Evaluate each expression using a = -1, b = 2, and c = -3. See Example 4. (a c)(a + c) = a2 c2 = (-1)2 (-3)2 = 1 9 = -8 delineate whether the given number is a solution to the equation following it. See Example 5. Let us substitute x = 5 in the given equation, we will get 3(5) + 7 = 2(5) 1 15 + 7 = 9 22 = 9 Which is not true Therefore 5 is not the solution of the given equation Chapter 1 Section 1. 7 Use the commutative and associative properties of multiplication and exponential notation to revisal each product.See Example 3. y(y*5)(wy) y(y * 5)(wy) =5wy3 Use the distributive property to remove the parentheses. See Example 5. -3(6-p) 3 (6 p) = (-3)6 (-3)p = -18 + 3p Chapter 1 Section 1. 8 Combine homogeneous terms where possible. See Example 3. Simplify the following expression b y combining like terms. See Example 8. 2a(a 5) + 4(a -5) = 2a2 10a + 4a 20 = 2a2 10a + 4a 20 = 2a2 6a 20 Simplify the expression. 1/4(6b+2)-2/3(3b-2) (Please note the ? and the 2/3 are fractions) Solution