Presentation on theme: "Chapter 10: Solving Linear Equations"— Presentation transcript:
1Chapter 10: Solving Linear Equations Regular Math
2Section 10.1: Solving Two-Step Equations Chris’s landscaping bill is $380. The plants cost $212, and the labor cost $48 per hour. How many hours did the landscaper work?
3Try this one on your own… The mechanic ‘s bill to repair Mr. Wong’s car was $650. The mechanic charges $45 an hour for labor, and the parts that were used cost $443. How many hours did the mechanic work on the car?
13Section 10.3: Solving Equations with Variables on Both Sides Clear FractionsCombine Like TermsGet the Variable on Only One Side of the EquationUndo Addition or SubtractionUndo Multiplication or Division
18Sports Application…Elaine runs the same distance every day. On Mondays, Fridays, and Saturdays, she runs 3 laps on the track, and then runs 5 more miles. On Tuesdays and Thursdays, she runs 4 laps on the track, and then runs 2.5 more miles. On Wednesdays, she just runs laps. How many laps does she run on Wednesday?
19Try this one on your own… Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and also two doughnuts. On Monday, he bought a newspaper for fifty cents and bought five doughnuts. On Tuesday, he spent the same amount of money and bought just doughnuts. How many doughnuts did he buy?
24Business Application… The student council sells t-shirts with the school logo on them. The unit cost is $10.50 for the shirt and the ink. They have a fixed cost of $60 for silk screen equipment. If they sell the shirts for $12 each, how many must they sell to make a profit?
25Try this one on your own… A school’s Spanish club is selling bumper stickers. They bought 100 for $55, and have to give the company 15 cents for every sticker sold. If they plan to sell each bumper sticker for $1.25, how many do they have to sell to make a profit?
26Section 10.5: Solving for a Variable Solve for the indicated variable.V – E + F = 2 for VV – E + F = 2 for E
27Try these on your own…a – b + 1 = c for aa – b + 1 = c for b
28Solve for the indicated variable. Assume all values are positive. Solve the formula for area of a triangle for h.A = ½ bhSolve the formula for surface area of a cylinder for h.S = 2(pi)(r squared) + 2(pi)radius(height)
29Try these on your own… V = IR for R Solve the formula for the area of a trapezoid for h.A = ½ h (base one + base two)
32Section 10.6: System of Equations A system of equations is a set of two or more equations that contain two or more variables.A solution of a system of equations is a set of values that are solutions of all of the equations.
33Identifying Solutions of a System of Equations 2x + 3y = 8 x – 4y = 15(-2 , 4)(7 , -2)(11 , -1)
34Solving Systems of Equations y = x + 3 y = 2x + 5 y = x – 4 y = 2x - 9