MATHS - Speech or Presentation Example

CHAPTER 3 Solve inequality. Write the answer in interval notation (65) 5(2b -3) – 7b > 5b + 9 Then the variable is divided by a negative sign the symbol of inequality changes (Haighton, Haworth and Wake 59) The solution for b is (-Solve inequality. Graph the solution set and write the answer in interval notation. (31) 6(7y + 4) – 10 > 2(10y + 13) The solution for CHAPTER 4 10. Complete the table of values for each equation:4x – 6y= 8 xy200-4/732/3-4-419. Graph each equation by finding the intercepts and at least one other point.

y = -1/6x + 4 x024612-6y4032531. Use the slope formula to find the slope of the line containing each pair of point.(-2, 5) and (3, -8)=The slope is 48. Identify the slope and y-intercept, and then graph the line.2x – 7y = 35The slope is x0714-7y-5-3-1-754. Write the slope – intercept form of the equation of the line, if possible, given the following information.(a) m= - 8 and y-intercept (0, -1)(b) Horizontal line containing (1, 9)No solution; a horizontal line has no slope61. Write the standard form of the equation of the line given the following information(a) Contains (-2, 2) and (8, 7)The solution is (b) m = -5/3 and y-intercept (0, 2)Solution is 72.

Determine if each pair of lines is parallel, perpendicular, or neither.(a) 4x – 6y = -3 -3 + 2y = -2For parallel lines the gradients of the lines is equalTherefore gradient of the line is The line is a horizontal line therefore it has no gradientSolution: Neither(b) x + 2y = 22 2x – y = 0The gradient is The gradient is The product of the gradients is -1Solution: The lines are perpendicular77. Write and equation of the line parallel to the given line and containing the given point.

Write the answer in slope-intercept form as indicated.(a) y = 5x + 14; (-2, -4); slope intercept form For parallel lines, gradients are equal84. Write an equation of the line perpendicular to the given line and containing the given point. Write the answer in standard form as indicated.(a) -2x + 3y = 15; (-5, 7) For perpendicular lines, the product of the gradients is -1The gradient is 2/3For product to be -1 the gradient of the second line is The solution is 107. Determine the domain of each relation, and determine whether each relation describes y as a function of x. (a) The domain of a relation is all the values that x is allowed to take with the exception of division with a zeroThe domain is all other values of x(b) Therefore the domain is all other values of 115. Let f(x) = 5x -12, g(x) = x2 + 6x + 5.

Find each of the following and simplify.(b) F (-3) (c) g (3)The solution is The solution is Chapter 5.1 Solve each system using elimination. Identify any inconsistent systems or dependent equations.69) -8x + 5y = -6 To eliminate x, multiply first equation with 4 and the second equation with 8 4x – 7y = 3 Add the two equations Solution: Inconsistent system (71) 5x – 6y = -2 To eliminate x multiply first equation by 2 and the second equations by 1 10x – 12y = 7 Subtract the two equations Solution: inconsistent system(73) x – 6y = -5 to eliminate x multiply first equation by 4 and the second by 1 -24y + 4x = -20 (The two equations are on the same line)Solution: Dependent equations Chapter 5.

3 Solve General Two Variable Problems(3). Through 2012, the University of Southern California football team played in 13 more Rose Bowl games than the University of Michigan. All together, these teams have appeared in 53 Rose Bowls. How many appearances did each team make in the Rose Bowl?Let University of Southern California football team be x;University of Michigan football team be ySolving by substitution method Substitute The appearances of University of California football team is 33The appearances of University of Michigan football team is 20Solve Problems Involving Cost(19) Jennifer and Carlos attended two concerts with their friends at the American Airlines Area in Miami.

Jennifer and her friends bought five tickets to see Marc Anthony and two tickets to the Santana concert for $563. Carlos’ group purchased three Marc Anthony tickets and six for Santana for $657. Find the cost of a ticket to each concert.Let Marc Anthony tickets by xSantana concert by yThe equations satisfying the above information is For Jennifer and friends For Carlos and friendsSolve the equations simultaneously by substitution method:From the second equation x isSubstituting the value of x into the first equation results to Substituting the value of y in any of the equation yields Marc Anthony tickets cost $86 while Santana Concert ticket cost $66.5(33) Sally invested $4000 in two accounts, some of it at 3% simple interest, the rest in an account earning 5% simple interest.

How much did she invest in each account if she earned $144 in interest after one year?Let amount with a simple interest of 3% be xAmount with a simple interest of 5% by yThe equations satisfying the above information are Change the equation to whole numbers by multiplying by 100 From the first equation Substituting the The value of y is: The amount with a simple interest of 3% is $2800The amount with a simple interest of 5% is $1200Works CitedHaighton, June, Anne Haworth and Geoff Wake. Algebra & graphs.

United States: Cheltenham Nelson Thornes, 2003. Print.