100 likes | 207 Views
Homework: Textbook: Read pg 171 – 173 & pg 178-181 Do problems: pg 174-174: 9, 13, 42 45 pg 181-183 7, 9, 58. Objective: SWBAT… recall vocabulary and concepts from the previous weeks. Bell Ringer: Write as an algebraic expression and solve:
E N D
Homework: Textbook: Read pg 171 – 173 & pg 178-181 Do problems: pg 174-174: 9, 13, 42 45 pg 181-183 7, 9, 58 Objective: SWBAT… recall vocabulary and concepts from the previous weeks • Bell Ringer: • Write as an algebraic • expression and solve: • half of a number increased by three is twelve • Two more than 3 times a number squared is fourteen • .
Homework: Textbook: Read pg 171 – 173 & pg 178-181 Do problems: pg 174-174: 9, 13, 42 45 pg 181-183 7, 9, 58 Objective: SWBAT… recall vocabulary and concepts from the previous weeks To Solve an Equation means... • To isolate the variable having a coefficient of 1 on one side of the equation. • Ex: x = 5 is solved for x. • y = 2x - 1 is solved for y.
Homework: Textbook: Read pg 171 – 173 & pg 178-181 Do problems: pg 174-174: 9, 13, 42 45 pg 181-183 7, 9, 58 Objective: SWBAT… recall vocabulary and concepts from the previous weeks Addition Property of Equality What it means: For any numbers a, b, and c, if a = b, then a + c = b + c. You can add any number to BOTH sides of an equation and the equation will still hold true.
We all know that 7 = 7. Does 7 + 4 = 7? NO! But 7 + 4 = 7 + 4. The equation is still true if we add 4 to both sides. Objective: SWBAT… recall vocabulary and concepts from the previous weeks Homework: Textbook: Read pg 171 – 173 & pg 178-181 Do problems: pg 174-174: 9, 13, 42 45 pg 181-183 7, 9, 58 An easy example: • Would you ever leave the house with only one shoe on? • Would you ever put blush on just one cheek? • Would you ever shave just one side of your face?
Solve: x - 6 = 10 Always check your solution!! The original problem is x - 6 = 10. Using the solution x=16, Does 16 - 6 = 10? YES! 10 = 10 and our solution is correct. Objective: SWBAT… recall vocabulary and concepts from the previous weeks • x - 6 = 10 • Add 6 to each side. • x - 6 = 10 • +6 +6 • x = 16
- 4 = 9 +4 +4 y = 13 Recall that y + (-4) = 9 is the same as y - 4 = 9. Now we can use the addition property. y Check your solution! Does 13 - 4 = 9? YES! 9=9 and our solution is correct. Objective: SWBAT… recall vocabulary and concepts from the previous weeks What if we see y + (-4) = 9?
Remember to always use the sign in front of the number. Because 16 is negative, we need to add 16 to both sides. -16 + z = 7 +16 +16 z = 23 Check you solution! Does -16 + 23 = 7? YES! 7 = 7 and our solution is correct. Objective: SWBAT… recall vocabulary and concepts from the previous weeks How about -16 + z = 7?
Homework: Textbook: Read pg 171 – 173 & pg 178-181 Do problems: pg 174-174: 9, 13, 42 45 pg 181-183 7, 9, 58 -n - 10 = 5 +10 +10 -n = 15 Do we want -n? NO, we want positive n. If the opposite of n is positive 15, then n must be negative 15. Solution: n = -15 Check your solution! Does -(-15)-10=5? Remember, two negatives = a positive 15 - 10 = 5 so our solution is correct. Objective: SWBAT… recall vocabulary and concepts from the previous weeks A trick question... Solve: -n - 10 = 5
Reflection In your notes Objective: SWBAT… recall vocabulary and concepts from the previous weeks Write in your notes: Explain why it is important to use steps when solving equations and inequalities. Justify your answer
QUIZ Objective: SWBAT… recall vocabulary and concepts from the previous weeks • 20 minutes • 15 minutes • 10 minutes • 5 minutes • 1 minute • 30 seconds • TIMES UP!!! Solve the following: You have 20 minutes