Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Introduction to Equations Notes by Lori Rapp 1973 views
- MELJUN CORTES Java Numerical Data T... by MELJUN CORTES 379 views
- Evaluate Algebraic Expressions by Mark Daniel Alcazar 2588 views
- Algebraic Manipulation Lesson by Joyce23Liu 2747 views
- Linear Equations by Jessica Price 1327 views
- Differential equations by Venkata Ramana Re... 5173 views

No Downloads

Total views

1,102

On SlideShare

0

From Embeds

0

Number of Embeds

6

Shares

0

Downloads

22

Comments

0

Likes

1

No embeds

No notes for slide

- 1. Objective - To solve equations over given replacement sets. Equalities Inequalities = Equals- is the same as Congruent- same size and shape Similar- same shape < Is less than > Is greater than Is less than or equal to Approx. equal to = Not equal to ~
- 2. Expressions vs. Equations Numerical Variable Expressions Equations Inequalities 2 + 3 5(8) - 4 x + 7 8 - 3y 2 + 3 = 5 4 + 2(3) = 10 x - 4 = 13 11= 3 + 2m 9 - 5 > 3 6y - 4 < 8 Sentences Open sentences Open sentences have solutions and can be solved.
- 3. Identify each as an expression, sentence, open sentence, equation, or inequality. 1) 3x + 5 = 11 2) 7 < 2(5) + 3 3) 5x - 2 4) 6m + 2 > 3 Sentence, open sentence, equation Sentence, inequality Expression Sentence, open sentence, inequality
- 4. State whether each sentence is true, false , or open . 1) 8 + 5 = 13 2) 2x - 1 = 9 3) 17 = 3(5) + 1 4) 3 = 7(2) - 5 5) 14 - 2(3) = 8 6) 9 = 7 + 4y 7) 13 - 2 = 9 8) t + t = 5(2) + 1 True Open False False True Open False Open
- 5. Replacement Set Equation Solution Set Try each key:
- 6. Solve the given equation using the replacement set {0, 1, 2, 3, 4}. 1) 6 - x = 2 2) 2x + 1 = 5 3) 5x = 15 4) 11 = 4x + 3 5) 2x = x + x 6) 9 = 7 + 2y 7) x + 5 = 27 8) x + 2 = x {4} {2} {3} {2} {0, 1, 2, 3, 4} {1} { } , or “No solution” { } , or “No solution”
- 7. Addition Property of Equality If a = b, then a + c = b + c or Given a = b and c = c then a + c = b + c Subtraction Property of Equality If a = b, then a - c = b - c or Given a = b and c = c then a - c = b - c Equivalent Equations
- 8. = x + 3 7 - 3 Heavier
- 9. = x 7 Heavier
- 10. = x 7 Heavier
- 11. = x 7 Heavier
- 12. = x 7 Heavier
- 13. = x + 3 7 Algebraically, x + 3 = 7 -3 -3 x = 4 x + 3 = 7 x = 4 x + 3 - 3 = 7 - 3 - 3 - 3 = x 4
- 14. Rules for Transforming Equations 1) Goal: Isolate the variable on one side of the equation. 2) Always perform the same operation to both sides of an equation. 3) To undo an operation, perform its opposite operation to both sides of the equation.
- 15. Solve the equations below. The replacement set is the set of whole numbers. 1) x + 3 = 10 - 3 - 3 x = 7 2) y - 8 = 11 + 8 + 8 y = 19 3) n + 5 = 11 - 5 - 5 n = 6 4) 13 = x + 5 - 5 - 5 8 = x 5) 12 = n - 3 + 3 + 3 15 = n 6) 11 + 3 = k 14 = k
- 16. Translate the sentence into an equation and solve. 1) The sum of k and 13 is 28. 2) Five is the difference of t and 4. k + 13 = 28 - 13 - 13 k = 15 5 = t - 4 + 4 + 4 9 = t
- 17. Multiplication Property of Equality or If a = b, then a c = b c.
- 18. Solve given the replacement set is the set of whole numbers. 1) 2) 3) 4)
- 19. Division Property of Equality or
- 20. 1) 2) 3) 4) Solve given the replacement set is the set of whole numbers. No solution
- 21. Each pair of equations is equivalent. Tell what was done to the first equation to get the second. Four was subtracted from both sides. Nine was added to both sides. Each side was multiplied by 4.
- 22. Each pair of equations is equivalent. Tell what was done to the first equation to get the second. Each side was divided by 6. Six was subtracted from both sides. Each side was multiplied by 7.

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment