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Review

Review, simplify, and solve equations step-by-step. Learn how to combine like terms and manipulate variables effectively to solve equations. Develop a strong understanding of solving algebraic expressions.

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Review

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  1. Review Simplify Completely 1) 2) 3) 16 – 8 + 4

  2. Review 2 Evaluate the following • at x = - 2 • at x = -4

  3. Review 3 Simplify the following 6) 8(7x + 5) 7) - (-2 – 3x + 10y)

  4. Review 4 Combine like terms 8) 11 + 16x – 14 – 6x 9) 10y – 6 – (-10 – 10y) 10) 7(1 + 7x) + 2(4 – 5y)

  5. Try • Let the first number equal x. The second number is 3 more than twice the first number. Express the second number in terms of the first number x

  6. Chapter 3 Section 5 Solving Equations

  7. Solution? What does the solution to an equation look like? • 5 • x = 5

  8. Answer the question. Given the equation, 2x – 7 = -11, what do you do to get the variable term only on one side of the equation?

  9. Answer the question. • What operation do you use to solve the equation, 3x = 12? • What operation do you use to solve the equation, x – 4 = 12 ?

  10. Solve the equation • - 2x = 12 • 7x – 11x = 12 Explain to a classmate how you solved the equation.

  11. Solve the equation • -x = 3 • 5x = 3 + 6x

  12. Solve the equation • 6x – 5 = 12 + 19

  13. Solve the equation • 2(3x + 2) – 3(4 – x) = x + 8

  14. More practice • 8x – 8 – 9x + - 3 • 6x – 4 = 2x • -8x + 2 = - 6x + 6 • -5x = -3x + 6

  15. Try 5) 7 – 2(x + 4) = - 1 4(-7x + 5) + 8 = 3(- 9x – 1) - 2

  16. Summary Combine like terms. Variables on one side – combine. Variables on both sides – get on one side. Use opposites.

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