1. ALGEBRA PRACTICE FOR SOLVING EQUATIONS QUIZ – THURSDAY, FEBRUARY 20TH

2. 2x + 1 = 5 2x + 1 - 1 = 5 – 1 2x = 4 2 X = 2

3. 4t – 3 = 13 4t - 3 + 3 = 13 + 3 4t = 16 4 X = 4

4. x/2 + 3 = 4 x/2 + 3 - 3 = 4 – 3 x/2 = 1 (2)x/2 = 1(2) x = 2

5. 2x + 1 = 5 2x + 1 - 1 = 5 – 1 2x = 4 2 X = 2

6. m/5 – 2 = -1 m/5 – 2 + 2 = -1 + 2 m/5 = 1 (5)m/5 = 1(5) m = 5

7. 2 – 5b = 37 2 – 5b – 2 = 37 - 2 -5b = 35 -5 b = -7

8. 7z + 1 = 18 - 3 7z + 1 = 15 7z + 1 – 1 = 15 – 1 7z = 14 7 z = 2

9. 3(b – 2) = - 42 3b – 6 = - 42 3b – 6 + 6 = - 42 + 6 3b = - 36 3 b = -12

10. 14h – 2h – 8h = - 12 - 8 4h = - 20 4 h = -5

11. 6 – 4 = 2(y + 3) 2 = 2y + 6 2 – 6 = 2y + 6 - 6 -4 = 2y 2 -2 = y

12. - 7p + 2 = 12 + 3p -7p + 2 – 3p = 12 + 3p – 3p -10p + 2 = 12 - 10p + 2 – 2 = 12 - 2 -10p = 10 -10 p = -1

13. - 5(2x – 10) + 12x = 40 - 10x + 50 + 12x = 40 2x + 50 = 40 2x + 50 – 50 = 40 - 50 2x = -10 2 x = -5

14. One third of the grade 8 students went to the track meet. Five track coaches went too. There were 41 people on the bus, not including the driver. How many students are in grade 8? s = number of students in grade 8 s = number of grade 8 students going to track meet 3 s + 5 = 41 3 5 = number of track coaches going to meet 41 = total number of people on bus (not incl. driver) s = 108

15. Fabian charges $3 for each bag of leaves he rakes, and $5 for mowing the lawn. On Sunday, Fabian mowed 1 lawn and raked leaves. He earned $14. How many bags of leaves did Fabian rake? b = bags of leaves Fabian raked 3b = money earned from raking leaves 3b + 5 = 14 5 = money earned from mowing lawn 14 = total earned b = 3

16. John and Lorraine are landscaping their yard. They are buying cedars that cost $12 each. They need 11 cedars to shade their patio, and would like to purchase as many more as they can for the far end of their yard. They have $336 budgeted for the cedars. How many extra can they buy? c = number of cedars 12c = cost of cedars 12c = 336 336 = total $ to spend on cedars c = 28 28 – 11 = 17 extra cedars OR 12(c + 11) = 336 c = 17

17. Mrs. Best ate 22 jellybeans. She says it’s one quarter of the bag of jelly beans. How many jellybeans were in the bag to start with? j = number of jellybeans j/4 = how many Mrs. Best ate j/4 = 22 22 = total number left j = 88

18. Mr. Zimmer collects hockey cards. He currently has 75. He has a plan to collect 12 more each week. After how many weeks will he have a total of 147? w = number of weeks 75 + 12w = 147 75 = current number of hockey cards w = 6