ALGEBRA PRACTICE FOR SOLVING EQUATIONS QUIZ – THURSDAY,

FEBRUARY 20TH

2x + 1 = 5

2x + 1 - 1 = 5 – 12x = 42x = 42 2X = 2

4t – 3 = 13

4t - 3 + 3 = 13 + 34t = 164t = 164 4X = 4

x/2 + 3 = 4

x/2 + 3 - 3 = 4 – 3x/2 = 1

(2)x/2 = 1(2)x = 2

2x + 1 = 5

2x + 1 - 1 = 5 – 12x = 42x = 42 2X = 2

m/5 – 2 = -1

m/5 – 2 + 2 = -1 + 2m/5 = 1

(5)m/5 = 1(5)m = 5

2 – 5b = 37

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

7z + 1 = 18 - 3

7z + 1 = 157z + 1 – 1 = 15 – 1

7z = 147z = 147 7z = 2

3(b – 2) = - 42

3b – 6 = - 423b – 6 + 6 = - 42 + 6

3b = - 363b = -363 3b = -12

14h – 2h – 8h = - 12 - 8

4h = - 204h = -204 4h = -5

6 – 4 = 2(y + 3)

2 = 2y + 62 – 6 = 2y + 6 - 6

-4 = 2y2 2-2 = y

- 7p + 2 = 12 + 3p

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

- 10p + 2 – 2 = 12 - 2-10p = 10-10 -10

p = -1

- 5(2x – 10) + 12x = 40

- 10x + 50 + 12x = 402x + 50 = 40

2x + 50 – 50 = 40 - 502x = -102 2x = -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 8s = number of grade 8 students going to track meet3

s + 5 = 413

5 = number of track coaches going to meet41 = 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 raked3b = money earned from raking leaves

3b + 5 = 14

5 = money earned from mowing lawn14 = 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 cedars12c = cost of cedars

12c = 336336 = total $ to spend on cedars

c = 2828 – 11 = 17 extra cedars

OR12(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 jellybeansj/4 = how many Mrs. Best ate

j/4 = 2222 = 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

75 + 12w = 14775 = current number of hockey cards

w = 6