2-6 Addition Equations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2-6 Addition Equations Warm Up Determine whether each value is a solution x = 102 for x = x = 26 for x = 4 3. x + 46 = 214 for x = x = 35 for x = 26 yes no yes

2-6 Addition Equations Problem of the Day After Renee used 40 m of string for her kite and gave 5 m to her sister for her wagon, she had 8 m of string left. How much string did she have to start with? 53 m

2-6 Addition Equations MA.6.A.3.2 Write [and] solve…one-step linear equations… Sunshine State Standards

2-6 Addition Equations inverse operations Vocabulary

2-6 Addition Equations The equation h + 14 = 82 can be represented as a balanced scale. h To find the value of h, you need h by itself on one side of the scale. h ? To get h by itself, first take away 14 from the left side of the scale. Now the scale is unbalanced. h 68 To rebalance the scale, take away 14 from the other side. h

2-6 Addition Equations Taking away 14 from both sides of the scale is the same as subtracting 14 from both sides of the equation. h + 14 = 82 –14 h = 68 Inverse operations undo each other. Addition and subtraction are inverse operations. If an equation contains addition, solve it by subtracting from both sides to “undo” the addition.

2-6 Addition Equations Solve the equation. Check your answer. Additional Example 1A: Solving Addition Equations x + 87 = 152 Check x + 87 = 152 x + 87 = is added to x. x = 65 – 87 Subtract 87 from both sides to undo the addition = 152 ? 152 = 152 ? Substitute 65 for x in the equation. 65 is the solution.

2-6 Addition Equations Solve the equation. Check your answer. Additional Example 1B: Solving Addition Equations 72 = 18 + y Check 72 = 18 + y 72 = 18 + y 18 is added to y. 54 = y –18 Subtract 18 from both sides to undo the addition. 72 = ? 72 = 72 ? Substitute 54 for y in the equation. 54 is the solution.

2-6 Addition Equations Check It Out : 1A u + 43 = 78 u = 35 Solve each equation. Check your answers. u + 43 = = - 43

2-6 Addition Equations Check It Out : 1B 20 = 6 + n Solve each equation. Check your answers. - 6 = = 6 + n 14 = n

2-6 Addition Equations Check It Out : 1C 78 + w = 87 Solve each equation. Check your answers w = 87 w = 9

2-6 Addition Equations Check It Out : 2A Sandy is thinking of a number. When 33 is added to the number, the sum is equal to 55. What number is Sandy thinking of? Sandy is thinking of the number 22. For each exercise, write an addition equation. Then solve the equation. x + 33 = 55; x = 22;

2-6 Addition Equations Check It Out : 2B SheiKra is a roller coaster at Busch Gardens in Tampa, Florida. You must be 54 inches tall to ride SheiKra. Lisa is 5 inches short of this height requirement. Find the height h of Lisa in inches. Lisa is 49 inches tall. For each exercise, write an addition equation. Then solve the equation. h + 5 = 54; h = 49;

2-6 Addition Equations Johnstown, Cooperstown, and Springfield are located in that order in a straight line along a highway. It is 12 miles from Johnstown to Cooperstown and 95 miles from Johnstown to Springfield. Find the distance d between Cooperstown and Springfield. Additional Example 2: Social Studies Application It is 83 miles from Cooperstown to Springfield. 95 = 12 + d distance between Johnstown and Springfield distance between Johnstown and Cooperstown distance between Cooperstown and Springfield = + 95 = 12 + d –12 83 = d 12 is added to d. Subtract 12 from both sides to undo the addition.

2-6 Addition Equations Check It Out : 2C Patterson, Jacobsville, and East Valley are located in that order in a straight line along a highway. It is 17 miles from Patterson to acobsville and 35 miles from Patterson to East Valley. Find the distance d between Jacobsville and East Valley. It is 18 miles from Jacobsville to East Valley. For each exercise, write an addition equation. Then solve the equation d = 35; d = 18;

2-6 Addition Equations Check It Out : 2D In Olympic archery, competitors use stabilizers to help balance the bow. The main stabilizer is at most 36 inches in length. This is 7 inches more than its minimum length. What is the minimum length of the main stabilizer? The minimum length is 29 inches. For each exercise, write an addition equation. Then solve the equation. x + 7 = 36; x = 29;

2-6 Addition Equations Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

2-6 Addition Equations Solve each equation. 1. x + 15 = = x x + 22 = = x + 14 Lesson Quiz x = 57 x = 45 x = inches 5. Kaitlin is 2 inches taller than Reba. Reba is 54 inches tall. How tall is Kaitlin?

2-6 Addition Equations 1. Solve the equation x + 26 = 75. A. x = 39 B. x = 49 C. x = 59 D. x = 101 Lesson Quiz for Student Response Systems

2-6 Addition Equations 2. Solve the equation 71 = y A. y = 24 B. y = 28 C. y = 108 D. y = 118 Lesson Quiz for Student Response Systems

2-6 Addition Equations 3. Solve the equation z + 37 = 65. A. z = 102 B. z = 92 C. z = 38 D. z = 28 Lesson Quiz for Student Response Systems

2-6 Addition Equations 4. Solve the equation 76 = x A. x = 27 B. x = 37 C. x = 95 D. x = 115 Lesson Quiz for Student Response Systems

2-6 Addition Equations 5. Steven has 9 more music CDs than Carol. Steven has 25 music CDs. How many music CDs does Carol have? A. 7 music CDs B. 9 music CDs C. 16 music CDs D. 25 music CDs Lesson Quiz for Student Response Systems