Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Pre-Algebra Two-Step Extension Homework Mr. Masterjoseph Name: _____________________ Class: _____________________ 2016 Solve the following equations using the T- Chart Method. Check each answer by substitution. The problems in bold pose a challenge. Try them! Solve Check 1. 2m + 9 = 39 2. 8t - 4 = 12 3. b+2=6 6 4. 2m - 14 = 10 5. 8 + h = 10 4 6. 12b - 2b + 5 = 35 7. A cell phone plan costs $14.75 per month, plus $0.18 cents per minute. Lisa has budgeted $35 a month for her cell phone. The equation $14.75 + 0.18m = $35 represents how many minutes Lisa can use each month. List the series of steps you would take to solve the equation. Then give the solution Solve Check 8. At work, Jack must stuff 1000 envelopes with advertisements. He can stuff 12 envelopes in one minute, and he has 112 envelopes already finished. Solve 1000 = 12n + 112 to find how many minutes it will take Jack to complete the task. Solve Check 9. Create your own two – step equation word problem. You must use two of the four operations (Addition, Subtraction, Multiplication, and Division). Demonstrate the solution to your problem by showing all your work. Solve Two-Step Equations A two-step equation contains two operations. To solve twostep equations, use inverse operations to undo each operation in reverse order. First, undo addition/subtraction. Then, undo multiplication/division. Sample 1 𝐜 Solve 𝟐 - 13 = 7 c - 13 = 7 2 c 2 Write the equation. - 13 + 13 = 7 + 13 c 2 2· c 2 Addition Property of Equality = 20 Simplify. = 2 · 20 Multiplication Property of Equality c = 40 Check: c 2 40 2 - 13 = 7 - 13 = 7 20 - 13 = 7 7=7√ Sample 2 Solve 5y + 4 = 24 5y + 4 = 24 -4 = -4 5y = 20 5y = 20 5 5 y=4 Check: 5y + 4 = 24 5(4) + 4 = 24 20 + 4 = 24 24 = 24 Write the equation. Subtraction Property of Equality. Simplify. Division Property of Equality Simplify. Check your solution. Sample 3 Solve 6y - 2y + 5 = 17 6y - 2y + 5 = 17 Write the equation. 4y + 5 = 17 Combine like terms. 4y + 5 = 17 -5 = -5 Subtraction Property of Equality. 4y = 12 Simplify. 4y = 12 4 4 Division Property of Equality. y=3 Simplify. Check your solution. Check: 6y - 2y + 5 = 17 6(3) - 2(3) + 5 = 17 18 - 6 + 5 = 17 12 + 5 = 17 Sample 4 Nina read 25 pages of a 175-page book. Nina now plans to read 15 pages a day. The equation 25 + 15x = 175 represents how many days it will take Nina to read the rest of the book. Write the steps that can be used to solve the equation. 25 + 15x = 175 Write the equation. 25 + 15x = 175 -25 = -25 Subtraction Property of Equality. 15x = 150 Simplify. 15x = 150 15x = 15 Division Property of Equality. x = 10 Simplify. To solve the equation, first subtract 25 and then divide by 15. CHECK: 25 + 15x = 175 Write the equation. 25 + 15(10) = 175 Substitute the solution for x. 25 + 150 = 175 Multiply. 175 = 175 Add.