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

2x + 1 = 5 2x = 5 – 1 2x = 4 2 X = 2

4t – 3 = 13 4t = t = 16 4 X = 4

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

2x + 1 = 5 2x = 5 – 1 2x = 4 2 X = 2

m/5 – 2 = -1 m/5 – = m/5 = 1 (5)m/5 = 1(5) m = 5

2 – 5b = 37 2 – 5b – 2 = b = b = -7

7z + 1 = z + 1 = 15 7z + 1 – 1 = 15 – 1 7z = 14 7 z = 2

3(b – 2) = b – 6 = b – = b = b = -12

14h – 2h – 8h = h = h = -5

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

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

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

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 = = number of track coaches going to meet 41 = total number of people on bus (not incl. driver) s = 108

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

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 = = total $ to spend on cedars c = – 11 = 17 extra cedars OR 12(c + 11) = 336 c = 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 = = total number left j = 88

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 w = = current number of hockey cards w = 6