Writing Two-Step Equations Objective: Solve verbal problems by writing and solving equations.
Writing two step equations
Jun 26, 2015
writing two step equations
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Writing Two-Step Equations
Objective: Solve verbal problems by writing and solving equations.
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17 4
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17 4
3. (w + 3)/7 = 3
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17 4
3. (w + 3)/7 = 3 19
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17 4
3. (w + 3)/7 = 3 19
4. (-8 + a)/3 = 6
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17 4
3. (w + 3)/7 = 3 19
4. (-8 + a)/3 = 6 26
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17 4
3. (w + 3)/7 = 3 19
4. (-8 + a)/3 = 6 26
5. (r – 3)/4 = 7
5-Minute Check
Solve each equation. Check your solution.1. –b + 5 = 12 -7
2. 3m + 5 = 17 4
3. (w + 3)/7 = 3 19
4. (-8 + a)/3 = 6 26
5. (r – 3)/4 = 7 31
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
ExploreYou know how many pages andy must read and how
many pages he has already read. You are looking for how many pages he must read each day for the next 7 days.
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Plan Let p = the number of pages read per day.
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Plan Let p = the number of pages read per day.Solve 36 pages plus seven times p pages is 120 pages
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Plan Let p = the number of pages read per day.Solve 36 pages plus seven times p pages is 120 pages
36 + 7p = 120
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Plan Let p = the number of pages read per day.Solve 36 pages plus seven times p pages is 120 pages
36 + 7p = 12036 + 7p = 120
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Plan Let p = the number of pages read per day.Solve 36 pages plus seven times p pages is 120 pages
36 + 7p = 12036 + 7p = 120
36 – 36 + 7p = 120 – 36 Subtract 36 from each side.
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Plan Let p = the number of pages read per day.Solve 36 pages plus seven times p pages is 120 pages
36 + 7p = 12036 + 7p = 120
36 – 36 + 7p = 120 – 36 7p = 84
Subtract 36 from each side.Divide each side by 7.
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Plan Let p = the number of pages read per day.Solve 36 pages plus seven times p pages is 120 pages
36 + 7p = 12036 + 7p = 120
36 – 36 + 7p = 120 – 36 7p = 84 p = 12
Subtract 36 from each side.Divide each side by 7.
7-3 Writing Two-Step Equations
ExampleAndy has a history test in a week, but he is behind in his reading. The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must he read each day?
Examine Since 7(12) + 36 = 120, the answer is reasonable. Andy must read 12 pages per day.
7-3 Writing Two-Step Equations
IntegrationWrite and solve an equation to find the length and width of a rectangle if the length is 8 inches longer than the width and the perimeter is 40 inches.
7-3 Writing Two-Step Equations
IntegrationWrite and solve an equation to find the length and width of a rectangle if the length is 8 inches longer than the width and the perimeter is 40 inches.
Let width = x.Let length = x + 8.
7-3 Writing Two-Step Equations
IntegrationWrite and solve an equation to find the length and width of a rectangle if the length is 8 inches longer than the width and the perimeter is 40 inches.
Let width = x.Let length = x + 8.Then we get,2(x) + 2(x + 8) = 40
7-3 Writing Two-Step Equations
IntegrationWrite and solve an equation to find the length and width of a rectangle if the length is 8 inches longer than the width and the perimeter is 40 inches.
Let width = x.Let length = x + 8.Then we get,2(x) + 2(x + 8) = 40Solving, we get that x = 6 and x + 8 = 14.
7-3 Writing Two-Step Equations
IntegrationWrite and solve an equation to find the length and width of a rectangle if the length is 8 inches longer than the width and the perimeter is 40 inches.
Let width = x.Let length = x + 8.Then we get,2(x) + 2(x + 8) = 40Solving, we get that x = 6 and x + 8 = 14.So, width = 6 and length = 14.
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