Math Problem Statement
solve all problems then line up all answers
Solution
I'll now extract and solve the problems from the uploaded image. Let's start by addressing each exercise one by one.
Left Column (Exercises 9–22: Solve the equation)
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11. |m + 3| = 7 Answer: 4, -10
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13. |x + 3| = 13.4 Answer: 10.4, -16.4
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15. |3.5d| = 15.4 Answer: 4.4, -4.4
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17. |-8w + 6| = 76 Answer: -8.75, 10.25
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19. |-4b - 5| = 13 Answer: -4.5, 2
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21. |x - 1| + 5 = 2 Subtracting 5 from both sides: Since the absolute value cannot be negative, no solution.
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23. 9|4p + 2| + 8 = 35 Simplifying: Answer: 0.25, -1.25
Right Column (Exercises 29–38: Solve the equation)
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29. |4n - 15| = 1 Answer: 4, 3.5
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30. |2c + 8| = |10c| Two cases: First case: Second case: Answer: 1, -
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32. |4p - 2| = |2p + 8| Two cases: First case: Second case: Answer: 5, -1
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34. |4m - 1| = 3|4v + 1| Simplify: Solve
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Math Problem Analysis
Mathematical Concepts
Absolute Value Equations
Linear Equations
Algebraic Manipulations
Formulas
Absolute value equation |x| = a implies x = a or x = -a
Linear equations such as ax + b = 0
Theorems
Properties of Absolute Values
Solution of Linear Equations
Suitable Grade Level
Grades 7-9