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January 11 - 15, 2106
Solving Two Step Equations
MY HOMEWORK Monday: algebra tile worksheet Tuesday: Tape Diagram Worksheet
Wednesday: Solving Equations algebraically Worksheet
Thursday: Homework practice worksheet
Friday: Quiz No homework
7.EE.4a I CAN solve word problems leading to equations of the form px + q = r and p ( x + q ) = r , where p , q , and r are specific rational numbers. I CAN solve equations of these forms fluently. I CAN compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach MY VOCABULARY Inverse operations
Operations that undo each otherยดs effect. For example, addition and subtraction are inverse operations. So are multiplication and division. Distributive property
The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together. 4 ร (2 + 3) = 4 ร 2 + 4 ร 3
NAME______________________________________________
BELL RINGERS
Complete the Bell Ringer from the board
MONDAY TUESDAY
WEDNESDAY THURSDAY
Solving Two Step Equations with Algebra Tiles
Homework (Monday)
2x +1 = 5 3x + 2 = 11
4x + 3 = - 5 2x โ 1 = 7
5x โ 2 = - 7 3x โ 4 = 5
2x โ 3 = 15 3 (x โ 5 ) = 9
3 x โ 2 = - 8 2 (x + 2) = - 8
Solving Two Step Equations with Tape Diagrams
EXAMPLES:
1. 4 y + 1 = 13 2. 6 x + 2 = 26 3. โ 3 = 5 k + 7 4. 23 n + 4 = โ - 5. 7 = โ 3 c โ 2 6. โ 8 p + 3 = โ 29 7. โ 5 = โ 5( t + 1) 8. โ 3(3 r + 4) = โ 24 10. 63 = 7 (1+ 4 b) 11.^45 ( p - 10 ) = 8
Solving Two Step Equations Algebraically
Two step equations are equations that can be solved in to steps. One step is to undo the addition or subtraction, the other is to undo the multiplication or division.
EXAMPLE:
3 w + 5 = 23
2x + 3 = 9 STEPS 3x + 2 = 23 STEPS
-2y โ 7 = 3 STEPS 4 + 2
5 r = -^
STEPS
Some two step equations can be solved more than one way!
EXAMPLE:
Method 1
2( w + 3) = 14
Method 2
2( w + 3) = 14
Solving Two Step Equations Algebraically
HOMEWORK (WEDNESDAY)
Solve each equation algebraically. SHOW ALL WORK!!!!
For # 1 โ 5 explain each step.
1. 2 x + 1 = 9 2. 5 b + 2 = 17
3. 3 w + 5 = 23 4.
3
8 n^ + 1 =^ โ^25
5. 4 t โ 2 = 14
6. 7 k โ 3 = 32 7. 8 x โ 1 = 63
8. 2 x โ 5 = 15 9. 2 +
1
6 a^ =^ โ^4
10. 9 + 4 b = 17 11. 2 p + 14 = 0
12. 3 y +
2
5 = โ^
1
5 13.^ โ^
2
3 w^ + 5 = 4
14. 8 x + 7 = โ 9 15. 5 d โ 1 = โ 11
Homework Practice (Thursday)
Solve Two-Step Equations
Solve each equation. Check your solution.
1. 4โ + 6 = 30 2.^27 ๐ฆ + 5 = โ
9.^34 ๐ + 5 = โ5 10. 5๐ โ 3.3 = 7.
13. KITTENS: Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight? 14. TEMPERATURE: Room temperature ranges from 20ยฐC to 25ยฐC. Find the range of room temperature in ยฐF. Use the formula F โ 32 = 1.8 C to convert from the Celsius scale to the Fahrenheit scale.
