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100 200 300 400 500 600 700 Solving Equations & Inequalities Slope Slope- Intercept Form Systems of Equations Using Intercepts Writing Equations.

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Presentation on theme: "100 200 300 400 500 600 700 Solving Equations & Inequalities Slope Slope- Intercept Form Systems of Equations Using Intercepts Writing Equations."— Presentation transcript:

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2 100 200 300 400 500 600 700 Solving Equations & Inequalities Slope Slope- Intercept Form Systems of Equations Using Intercepts Writing Equations

3 Solving Equations and Inequalities 100 Solve the following equation for x.

4 Answer: Solving Equations and Inequalities 100

5 Slope 100 Find the slope of the line that passes through the given points: (-5, 4) and (6, 8)

6 Answer: Slope 100

7 Slope-Intercept Form 100 In the slope intercept form of the equation y = mx + b, what do the m and b each represent?

8 Slope-Intercept Form 100 Answer: m represents the slope of the line, and b represents the y-intercept of the line.

9 Systems of Equations 100 What is the solution to the given system of equations? y = 3x +3 y = -x – 5

10 Systems of Equations 100 Answer: (-2, -3)

11 Using Intercepts 100 Find the x–intercept for the equation y = -2/3x + 4.

12 Using Intercepts 100 Answer: (6, 0)

13 Writing Equations 100 Write the equation of the line in slope-intercept form with the given slope and y-intercept. Slope = -5/3 y-intercept = -5

14 Writing Equations 100 Answer: y = -5/3x – 5

15 Solving Equations and Inequalities 200 Solve the following inequality.

16 Solving Equations and Inequalities 200 Answer:

17 Slope 200 Find the slope of the line below.

18 Slope 200 Answer:

19 Slope-Intercept Form 200 Identify the slope of the line with the given equation.

20 Slope-Intercept Form 200 Answer:

21 Systems of Equations 200 Identify the solution to the system.

22 Systems of Equations 200 Answer:

23 Using Intercepts 200 Find the y-intercept of the given equation.

24 Using Intercepts 200 Answer:

25 Writing Equations 200 Write the equation of the line that passes through the given points. (0, 4), and (3, 5)

26 Writing Equations 200 Answer:

27 Solving Linear Equations and Inequalities 300 Natasha bought a new TV for $1,020. she made a down payment of $120, and she is going to make a monthly payment of $75. How many payments will she have to make to pay for the stereo system?

28 Answer: 12 payments Solving Linear Equations and Inequalities 300

29 Slope 300 Find the slope of the line that passes through the given points. (-1, 6), and (8, -1)

30 Answer: Slope 300

31 Slope-Intercept Form 300 Find the slope of a line that is parallel to the given line.

32 Slope-Intercept Form 300 Answer:

33 Systems of Equations 300 If two lines are parallel, how many solutions are there? a. 1 solution b. No solution c. Infinitely many solutions

34 Answer: No solution Systems of Equations 300

35 Using Intercepts 300 Find the x – intercept of the equation

36 Answer: Using Intercepts 300

37 Writing Equations 300 Find the slope of a line that is perpendicular to the given line.

38 Answer: Writing Equations 300

39 Solving Equations and Inequalities 400 The charge to rent a car for a day is $34. There is an additional charge of $0.08 per mile. What is the greatest number of miles that a rented car can be driven in a day if the total bill is to be no more than $60?

40 Answer: 325 miles Solving Equations and Inequalities 400

41 Slope 400 What kind of line has a slope that is undefined?

42 Answer: a vertical line Slope 400

43 Slope-Intercept Form 400 Identify the slope and y-intercept of the line with the given equation.

44 Answer: ; Slope-Intercept Form 400

45 Systems of Equations 400 Solve the system of equations.

46 Answer: Systems of Equations 400

47 Using Intercepts 400 The cost for carpet is $43.85 per square foot plus $115 for installation. If this problem was modeled by a linear equation, what would be the y-intercept?

48 Answer: Using Intercepts 400

49 Writing Equations 400 Write the equation of the line that is parallel to the given line and passes through the point (0, -5).

50 Answer: Writing Equations 400

51 Solving Equations and Inequalities 500 Solve the following equation for x.

52 Answer: Solving Equations and Inequalities 500

53 Slope 500 Which line has the greater slope? Line A: (10, -18), (20, 2) Line B: (-5, -4), (15, 16)

54 Answer: Line A Slope 500

55 Slope-Intercept Form 500 Write the following equation in slope-intercept form?

56 Answer: Slope-Intercept Form 500

57 Systems of Equations 500 Solve the system of equations.

58 Answer: Systems of Equations 500

59 Using Intercepts 500 Identify the intercepts for the equation

60 Answer: x-intercept = y-intercept = Using Intercepts 500

61 Writing Equations 500 Write an equation of the line that is perpendicular to the line y = -3x + 4 and passes through the point (0, 7). Write your answer in slope intercept form.

62 Answer: Writing Equations 500

63 Solving Equations and Inequalities 600 To receive an A in a course, Ruth must obtain an average of 90 or higher on five exams. If Ruth’s first four exam grades are 88, 92, 87, and 89, what is the minimum grade Ruth can receive on the fifth exam to get an A in the course? A. 89B. 91 C. 94D. 95

64 Answer: 94 Solving Equations and Inequalities 600

65 Slope 600 Find the slope of the line that passes through the points (-3,5) and (8,5).

66 Answer: Slope 600

67 Slope-Intercept Form 600 Write the equation in slope-intercept form and find the y-intercept.

68 Answer: y-intercept = Slope-Intercept Form 600

69 Systems of Equations 600 Bartlett High School is selling basketball tickets. They are selling $5 tickets to children, c, and $8 tickets to adults, a. Mr. Foreman bought a total of 10 tickets for $68. Which system of equations can be used to find how many $5 tickets and $8 tickets Mr. Foreman purchased? A. B. C.D.

70 Answer: Systems of Equations 600

71 Using Intercepts 600 What is the equation of a line with an x-intercept of 2 and a y-intercept of - 4? A.B. C. D.

72 Answer: Using Intercepts 600

73 Writing Equations 600 Write an equation of the line that passes through the given points. (0, -6), (8, -16)

74 Answer: Writing Equations 600

75 Solving Equations and Inequalities 700 For their victory party at school, the softball team bought five 6-packs of sodas for $2.88 each, five bags of chips for $3.19 each, and a cake. The party cost $45.93. How much did the team spend on the cake?

76 Answer: $15.58 Solving Equations and Inequalities 700

77 Slope 700 A donut shop sells glazed donuts at the following prices: Donuts39121824 Cost$1.25$2.75$3.50$5.00$6.50 Determine the rate of change from the information given in the table above.

78 Answer: rate = $0.25 per donut Slope 700

79 Slope-Intercept Form 700 Find the slope of a line that is perpendicular to the line with the given equation.

80 Answer: Slope-Intercept Form 700

81 Systems of Equations 700 A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write and solve a system of linear equations to find the number of skates rented.

82 Answer: 10 pairs of skates; 15 bicycles Systems of Equations 700

83 Using Intercepts 700 Find the intercepts of the given equation.

84 Answer: x-intercept = y-intercept = Using Intercepts 700

85 Writing Equations 700 Write an equation of the line that passes through the given points. (-2, -11), (0, -11)

86 Writing Equations 700 Answer:


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