Quadratics WKST 1
Quadratics WKST –9 2
Quadratics WKST (x)2 + 1 3
Worksheet Key 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 4
4.3: Factoring and Solving when a = 1 Example 10 A town has a nature preserve with a rectangular field that measures 600 meters by 400 meters. The town wants to double the area of the field by adding land as shown. What are the dimensions of the field? x 600 m 400 m 11/29/2018 6:30 PM 4.3: Factoring and Solving when a = 1 5
4.3: Factoring and Solving when a = 1 Example 10 A town has a nature preserve with a rectangular field that measures 600 meters by 400 meters. The town wants to double the area of the field by adding land as shown. What are the dimensions of the field? x 600 m 400 m 11/29/2018 6:30 PM 4.3: Factoring and Solving when a = 1 6
5.3 - Solving Quadratic Equations by Factoring Solving Quadratic Equations when a > 1 and by factoring with GCF Section 4.4 11/29/2018 6:30 PM 5.3 - Solving Quadratic Equations by Factoring
Factoring Steps when a>1 Make sure the equation is all on ONE side Determine if there is a GCF Determine the Target Product and Target Sum of the equation Multiply the First and Last Term Ensure the terms adds to the middle and multiplies the end Rewrite the problem with the new middle terms Make sure that one of the binomials is the same on both sides Factor by Grouping by Splitting the Terms Combine like terms and multiply 8
What number adds up to +5 and multiplies to +4 Example 1 Factor 2x2 + 5x + 2 PRODUCT SUM What number adds up to +5 and multiplies to +4 9
This sign should ALWAYS be bought down Example 1 Factor 2x2 + 5x + 2 You must add an X to the middle term because it has to match the original equation This sign should ALWAYS be bought down 10
Example 2 Factor 3x2 + 20x – 7 11
Example 3 Factor 2x2 – 9 – 3x 12
Your Turn Factor 4x2 + 4x – 3 13
Don’t forget the xy in the middle Example 4 Solve 3x2 + 10x – 8 = 0 Don’t forget the xy in the middle 14
Example 5 Solve 5x2 – 27x = 18 15
Your Turn Solve 4x2 – 10x + 15 = 10x – 10 16
Don’t forget the xy in the middle Example 6 Solve 16x2 – 1 = 0 Don’t forget the xy in the middle 17
Example 7 Solve 9x2 – 64 = 0 18
Your Turn Solve 36x2 – 9 = 0 19
Don’t forget the xy in the middle Example 8 Factor 8x2 – 14xy + 3y2 Don’t forget the xy in the middle 20
Your Turn Factor 6xy2 + 33xy – 18x… 21
Example 9 You have made a rectangular quilt that is 5 feet by 4 feet. You want to use the remaining 10 square feet of fabric to add border of uniform width to the quilt. What should the width of the quilt’s border be? 22
Example 9 You have made a rectangular quilt that is 5 feet by 4 feet. You want to use the remaining 10 square feet of fabric to add border of uniform width to the quilt. What should the width of the quilt’s border be? 23
Assignment Page 263 3-19 EOO, 23-29 odd, 33-57 EOO 24