Download 3-76. Multiplying each expression below. Remember to simplify your

3.3.1 Solving Equations with multiplication & absolute value
Name:____________________
I Can: ____________________________________________________________________________________.
Review
3-76. Multiplying each expression below. Remember to simplify your result.
a) (6x − 11)(2x + 5)
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c) (6 − y)(y + 2)
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b) −2x2(15x2 − 3t)
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d) 16(3 − m2)
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Solving Equations with double distribution on both sides.
Example 1
Example 2
Solve 6(x+2) = 3(5x+1)
Solve (x+1)(2x-4) = (2x+1)(x+3)
Practice
3-77. Use the Distributive Property or draw generic rectangles to help you rewrite the products.
a) 2(y − 2) = −6
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c) (x + 3) (x + 4) = (x + 1)(x + 2) __________
b) 5x2 + 43 = (x − 1)(5x + 6)
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d) 2(x + 1) + 3 = 3(x − 1)
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Solving Absolute Value Equations.
Example 1
Example 2
|5 - x| = 9
|-2x+3| = 7
Practice
3-78. ABSOLUTE VALUE EQUATIONS - Find as many solutions to the following equations as you can.
a) |x| = 5
b) |x| = 133
c) |x| = -2
d) |x-7| = 10
Equations with No Solution or Infinite Solutions.
Example 1
Example 2
(x + 2)(x + 3) = x2 + 5x + 6
(x + 2)(x – 2) = (x + 3 )(x – 3)
Practice
Mixed Practice- Solve each equation.
1. 5x − 4(x − 3) = 8
2. 2x + 2(2x − 4) = 244
3. (x − 1)(x + 7) = (x + 1)(x − 3)
4. (x + 4)(x + 3) = (x + 2)(x + 1)
5. 2x − 5(x + 4) = −2(x + 3)
6. (x + 2)(x + 3) = x2 + 5x + 6
7. (x − 3)(x + 5) = x2 − 7x – 15
8. (x + 2)(x − 2) = (x + 3)(x − 3)
9. |6m| = 42
10. |7| = 3
11. 7|n| = 56
12. |k – 10| = 3
𝑥
13. |x| +2 = 11
14. |3x| = 9
1
15. 2 (2 − 4𝑥) + 2𝑥 = 13
16. 2(𝑥 + 5) = 2𝑥 + 5
17. 2(3𝑥 + 3) = 3(2𝑥 + 2)
18. 3𝑥 + 7𝑥 + 1 = 2(5𝑥 + 1)
3
5
19. 3 + 2 𝑥 + 4 = 4𝑥 − 2 𝑥
20. −2(𝑥 + 1) = −2𝑥 + 5