Directions. Complete each problem. Show your work on a separate sheet(s) of paper. BOX YOUR FINAL ANSWERS on your work (scrap) paper. You must show your work to get credit. Please follow the directions for submitting these to your instructor in the Week 6 folder on eLearn, located under the Table of Contents area. Write your final answers in the answer box below. Be sure to label answers as appropriate. 1) 8) 15) 2) 9) 16) 3) 10) 17) 4) 11) 18) 5) 12) 6) 13) 19) 7) 14) 1) Stanley just changed jobs. He is now making $20,000 a year, which is 25% more than he did last year. How much did Stanley make last year? 2) 78 is what percent of 325 ? 3) If D=rt, solve for r. 4) If 4 is increased to 10 , the increase is what percent of the original number? 5) If y=mx+b, solve for x. 6) Including 7% sales tax, the cost of a new computer is $659.11. What is the cost of the computer before the sales tax is added? Round answer to the nearest penny if necessary. Show the equation that is used to support the answer. 7) If P=2L+2W, solve for W. 8) If R=M(1+n), solve for n. 9) Lonnie can save 15% on his insurance if he pays it within 15 days of receipt. If he pays $446.25 on the 10th day, what is the original amount of his bill? 10) 24% of what number is 60 ? 11) A high definition flat screen TV regularly sells for $850, but is on sale this weekend for $600. Find the percent of decrease in the price. Round your answer to the nearest tenth of a percent if necessary. 12) If A=21h(a+b), solve for b. 13) A local charity has raised $4,500 of its goal of $30,000. What percent of the goal has been reached? 14) If C=95(F32), solve for F. 15) What is 19% of 627? 16) If A=21bh, solve for h. 17) The model 2w3H=53 describes the weight, W, in pounds that lies within the healthy weight range for a person whose height is H inches over 5 feet. Using the given formula, what is the healthy weight for a person whose height is 5'10"? 18) If Ax+By=C, solve for B. 19) What is the total cost for a mattress that costs $899 and the tax rate is 7.5% ? 20) If V=r2h, solve for h. Directions. Complete each problem. Show your work on a separate sheet(s) of paper. BOX YOUR FINAL ANSWERS on your work (scrap) paper. You must show your work to get credit. Please follow the directions for submitting these to your instructor in the Week 6 folder on elearn, located under the Table of Contents area. Write your final answers in the answer box below. Be sure to label answers as appropriate. 1) 8) 15) 2) 9) 16) 3) 10) 17) 4) 11) 18) 5) 12) 19) 6) 13) 20) 7) 14) 1) The perimeter of a rectangle is 46 feet. The width is 3 feet less than twice the length. Find the width of the rectangle. 2) Angle B of a triangle is 25 more than twice the measure of Angle A. Angle C is 15 more than half the measure of Angle A. Find the measure of Angle B. 3) The sum of three consecutive odd integers is 225 . Find the largest value. 4) The measure of an angle's supplement is 30 degrees more than three times the measure of its complement. What is the measure of the angle? 5) Find the volume of a rectangular solid with a width of 14cm, a height of 14cm, and a length of 30cm. 6) The sum of 3 consecutive even numbers is 144 . Find the middle value. 7) David's yard has an area of 450ft2. Find the length if it is twice the width. 8) Angle A has four times the measure of Angle B. Angle C has five times the measure of Angle B. What is the measure of Angle C? 9) A rectangular field is five times as long as it is wide. If the perimeter of the field is 300 yards, what is its length? 10) When the facing pages of a book are added together, the total is 693 . What is the even page's number? 11) The sum of two numbers is 33. One number is three-eighths as large as the other. Find the smaller number. 12) An angle's measure is three times that of its supplement. What is the measure of the angle? 13) Jack has a total of 22 nickels and dimes in his pocket. The total of the coins is $1.95. He has 12 more dimes than nickels. How many dimes does he have? 14) Moe is buying carpeting for his family room. The length of his room is 4 feet more than the width. If the perimeter is 44 feet, how much carpeting does he need to buy for the room? 15) Richard is twice as old as Patricia while Alexander is one-fifth Patricia's age. If the total of their ages is 96 , how old is Richard? 16) The sum of three numbers is 55 . The second number is five more than the first number. The third number is four less than twice the first number. What is the second number? 17) If the ceiling of a room that is fifteen feet by twenty feet is painted twice, how much paint will need to be purchased if one gallon covers 400 square feet? 18) Bud makes $400 more per month than Maxine. If their total monthly income is $3600, how much does Bud earn per month? 19) How much water is in a canister that is 10 inches tall and has a diameter of 6 inches? 20) An angle's measure is 60 more than that of its complement. What is the measure of the angle? Directions. Complete each problem. Show your work on a separate sheet(s) of paper. BOX YOUR FINAL ANSWERS on your scrap paper. You must show your work to get credit. Please follow the directions for submitting these to your instructor in the Week 6 folder on elearn, located under the Table of Contents area. Write your final answers in the answer box below. Be sure to label answers as appropriate. 1) Graph your solution to 2) Graph your solution to 3) Graph your solution to problem #9. problem #10. problem #11. 4) Graph your solution to 5) Graph your solution to 6) Graph your solution to problem #12. problem #13. problem #14. 7) Graph your solution to 8) Graph your solution to problem =15. problem #16. 9) Write the solution set in interval notation: 9x18 10) Write the solution set in interval notation: 25x>75 11) Write the solution set in interval notation: 7x+613 12) Write the solution set in interval notation: 23x+20 15) Write the solution set in interval notation: 72(x4)2x19 Directions: Complete each problem. Show your work on a separate sheet(s) of paper. BOX YOUR FINAL ANSWERS on your work (scrap) paper. You must show your work to get credit. Please follow the directions for submitting these to your instructor in the Week 8 folder on elearn, located under the Table of Contents area. Write your final answers in the answer box below. Be sure to label answers as appropriate. \begin{tabular}{lll} \hline 1) Answer on araph & 8) \end{tabular} 15) 2) Answer on graph 9) 3) 10) 16) 4) Answer on graph 11) 5) Answer on graph 12) 17) 6) 1 13) 18) (6) 7) 14) 1) Use the x - and y-intercepts to 2) Graph the linear equation 3) Find the slope of the graph 2x+3y=6 (label intercepts) 3x+2y=0 (label 3 points) 4) Use the x - and y-intercepts to graph 5x2y=10 (label intercepts) 5) Graph the linear equation 6) Find the slope of the 2x1=y (label 3 points) For 479, use the equation y=2x+6 to determine whether each ordered pair is a solution. Write "Yes" or "No" for each of your answers. 7) (0,6) 8) (6,0) 9) (2,4) 10) Find the x-intercept for the equation: 3x+2y=12. 11) Find the y-intercept for the equation: 3x+2y=12. 12) Find the x-intercept for the equation: 75x+76y=2 13) Find the y-intercept for the equation: 75x+76y=2 14) Write an equation for a horizontal line passing through (3,3). 15) Write an equation for a vertical line passing through (5,4). 16) Find the slope of the line passing through the points (4,5) and (4,2). 17) Find the slope of the line passing through the points (2,3) and (3,6). 18) Determine whether the line passing through (6,9) and (3,6) is parallel, perpendicular, or neither to the line passing through (10,8) and (5,1). 19) Determine if the line passing through (1,4) and (3,2) is parallel, perpendicular, or neither to the line passing through (2,8) and (4,6). 20) The line passing through (2,y) and (4,6) is parallel to the line containing the points (1,4) and (4,7). Find the value of y. Directions. Complete each problem. Show your work on a separate sheet(S) of paper. BUX TUUR ANSWERS on your work (scrap) paper. You must show your work to get credit. Please follow the directions for your final answers in the answer box below. Be sure to label answers as appropriate. your final answers in the answer box below. Be sure to label answers as appropriate. Graph each using the Slope-Intercept form of a line. Label at least two points. 1) y=3x2 2) y=91x1 2) 5x2v=10 7) Write the equation 2x=4y+12 in slope intercept form. 8) Find the slope and y-intercept of the line given by the equation: y=2x+5 9) Find the slope and y-intercept for 10x5y=25 10) Find the slope and y-intercept for 6x=12y 11) Use the following information to write an equation is point-slope form: m=6;(3,1). 12) Use the following information to write an equation is point-slope form: passes through (4,2) and has a slope of zero. 13) Use the following information to write an equation is slope-intercept form: passes through (3,5) and (8,15). 14) Use the following information to write an equation is slope-intercept form: passes through (6,7) and (10,3). 15) Use the following information to write an equation is standard form: passes through (2,7) and is parallel to the line whose equation is y=5x+4. 16) Write an equation in slope-intercept form of the line whose y-intercept is 4 and the line is parallel to the line whose equation is 6x+2y=5. 17) Write an equation in slope-intercept form of the line whose y-intercept is 3 and the line is perpendicular to the line whose equation is 3x2y=9. 18) Use the following information to write an equation is point-slope form: passes through (2,11) and (6,7). 19) Find an equation of the line that passes through (2,5) and is parallel to 4xy=7. Write the equation in standard form. 20) Find an equation of the line that passes through (4,2) and is perpendicular to x=45y2. Write the equation in slope-intercept form