Holt CA Course 1 1-9 Solving Equations by Adding AF1.1 Write and solve one-step linear equations in one variable. California Standards.

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Presentation transcript:

Holt CA Course Solving Equations by Adding AF1.1 Write and solve one-step linear equations in one variable. California Standards

Holt CA Course Solving Equations by Adding When John F. Kennedy became president of the United States, he was 43 years old. He was 8 years younger than Abraham Lincoln was when Lincoln became President. How old was Lincoln when he became president?

Holt CA Course Solving Equations by Adding Abraham Lincoln’s age John F. Kennedy’s age – = 8 Let a represent Abraham Lincoln’s age. a – = 843 a – 8 = a = 51 Abraham Lincoln was 51 years old when he became president.

Holt CA Course Solving Equations by Adding y – 23 = is subtracted from y y = 62 Add 23 to both sides to undo the subtraction. Check y – 23 = 39 Substitute 62 for y in the equation. Solve y – 23 = 39. Check your answer. 62 is the solution. 39 = 39 ? Example 1A: Solving Equations by Adding 62 – 23 = 39 ? + 23

Holt CA Course Solving Equations by Adding 78 = s – is subtracted from s = s Add 15 to both sides to undo the subtraction. Check 78 = s – 15 Substitute 93 for s in the equation. Solve 78 = s – 15. Check your answer. 93 is the solution. 78 = 78 ? Example 1B: Solving Equations by Adding 78 = 93 – 15 ? + 15

Holt CA Course Solving Equations by Adding z – 3 = 12 3 is subtracted from z. + 3 z = 15 Add 3 to both sides to undo the subtraction. Check z – 3 = 12 Substitute 15 for z in the equation. Solve z – 3 = 12. Check your answer. 15 is the solution. 12 = 12 ? Example 1C: Solving Equations by Adding 15 – 3 = 12 ? + 3

Holt CA Course Solving Equations by Adding a – 4 = 7 4 is subtracted from a. + 4 a = 11 Add 4 to both sides to undo the subtraction. Check a – 4 = 7 Substitute 11 for a in the equation. Solve a – 4 = 7. Check your answer. 11 is the solution. 7 = 7 ? 11 – 4 = 7 ? + 4 Check It Out! Example 1A

Holt CA Course Solving Equations by Adding 57 = c – is subtracted from c = c Add 13 to both sides to undo the subtraction. Check 57 = c – 13 Substitute 70 for c in the equation. Solve 57 = c – 13. Check your answer. 70 is the solution. 57 = 57 ? 57 = 70 – 13 ? + 13 Check It Out! Example 1

Holt CA Course Solving Equations by Adding g – 62 = is subtracted from g g = 76 Add 62 to both sides to undo the subtraction. Check g – 62 = 14 Substitute 76 for g in the equation. Solve g – 62 = 14. Check your answer. 76 is the solution. 14 = 14 ? 76 – 62 = 14 ? + 62 Check It Out! Example 1C