M8 (Thurs 9-10) Solve each equation: (1) 6 – 3x = 21 (2)

WARM-UP Tell what the error(s) is and correct the equation showing all steps correctly. x + 20 = 50 3 - 20 20 x = 70 x • 70 = 70 • 70 x = 1,400 Did not show subtraction of 20 on right side and then added it. Did not multiply both sides by 3 to undo the division by 3 with the variable term. Started with the right side instead of the variable side. Correct answer is 90. 2

WORD PROBLEM STEPS * TAKE NOTES in MSG* 1.) Thinking/Analyzing: Write down what you are being asked to find or solve for; the question is a clue. If stuck, make a list of what you do know. Drawing a picture often helps clarify. 2.) Define the variable. 3.) Write the equation. 4.) Solve the equation. 5.) Check your work by substituting the solution for the variable back in the equation. 6.) Answer the question(s) asked with a sentence. x = # of shirts c = cost of a sweater

Insert Lesson Title Here Three friends each pay $4.15 to buy a pizza. A basic pizza costs $9.45. Additional toppings cost $1 each. How many toppings were on the pizza? Let n = the number of toppings 9.45 + 1(n) = 3(4.15) 9.45 + 1(n) = 12.45 -9.45 -9.45 n = 3.00 Check: 9.45 + 1(3) = 12.45 There were 3 toppings on the pizza. Course 2

Solving Two-Step Equations Course Solving Two-Step Equations Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00, plus $7.50 each day. Her total cost was $130.00. For how many days did she rent the canoe? Let d = # of days she rented canoe 7.5d + 85 = 130 – 85 –85 Subtract 85 from both sides. 7.5d = 45 7.5d = 45 Divide both sides by 7.5. 7.5 7.5 Check: 7.5●6 + 85 = 130 d = 6 Jamie rented the canoe for 6 days.

Insert Lesson Title Here WARM-UP Two years (or 24 months) of local internet service costs $685, including the installation fee of $85. What is the monthly fee? Define the variable, and write and solve an equation. Insert Lesson Title Here Let m = the monthly fee 2 years = 24 months 85 + 24m = 685 -85 -85 24m = 600 24m = 600 24 24 m = 25 Check: 85 + 24(25)= 685 The monthly fee is $25. Course 2

Insert Lesson Title Here Jack’s father rented a car while they were on vacation. He paid a rental fee of $20.00 per day plus mileage. He paid $25.00 for mileage and his total bill for renting the car was $165.00. For how many days did he rent the car? Let d = # of days he rented the car. 20d + 25 = 165 – 25 – 25 Subtract 25 from both sides. 20d = 140 20d = 140 Divide both sides by 20. 20 20 Check: 20●7+25 = 165 d = 7 Jack’s father rented the car for 7 days. Course 2

Insert Lesson Title Here Faith spent $78 at the Fashion Warehouse sale. She bought 2 shirts that each cost $14.50 and 2 pairs of shoes that cost the same amount. How much did she spend for one pair of shoes? Let s = the cost of one pair of shoes 2(14.50) + 2s = 78.00 29.00 + 2s = 78.00 -29.00 -29.00 2s = 49.00 2s = 49.00 2 2 s = 24.50 Check: 29.00 + 2(24.50) = 78.00 One pair of shoes cost $24.50. Course 2