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11.2a Solving Equations #1
(do in your spiral)
Part I: Distribute. Remember to simplify completely.
Examples:
3x(2x + 6)
3x(2x) + 3x(6)
6x2 + 18x
6x(2x – 4)
6x(2x) – 6x(4)
12x2 – 24x
1. -3(5 – x)
2. 16 (3 – x)
3. 2x(3 + x)
4. x(x + 9)
5. 5x(5x + 3)
6. -4x(2x – 4)
Part II: Solve using the symbolic method. Show all work and do a complete check.
7. 9x = 7x + 16
8. 6x – 4 = 8 – 6x
9. 6 – 2x = 8x – 4
10. -7x – 3 = -6(x + 2)
11. 5(2 + x) = 3(x + 6)
12. 3(30 + x) = 4(x + 19)
Part III: Answer the following questions. Show work when necessary.
13. Joe is making t-shirts for his running group. He gets $100 from businesses to put their logos
on the shirts. He is selling the shirts for $8 each to his members. The shirts cost $4 each to buy
and he has to pay $40 in advance to have the design made.
13a.
13b.
13c.
13d.
Write an equation for Joe’s total income. Use I for income and n for the number of shirts.
Write an equation for Joe’s total expenses. Use E for expenses and n for the number of shirts.
Write an unsimplifed equation for Joe’s total profit. Remember P = I – E.
Simplify your profit equation from part c.
14. Simplify: 5(2x + 4) – 3(6x + 7) + 12x
15. Simplify: 4x + 3(2x – 4)