CHAPTER 3 ALGEOPARDY!!!!

TRANSFORMATIONS (ADD/SUBRTACT)

100

-y + 5 = 17

-12

200

-3 + (1 + n ) = 9

{11}

300

1 = -2 - (4 - w)

7

400

9 - (lsl + 7) = 4

no solution

500

7 - (3 - lml) = 8

{4, -4}

TRANSFORMATIONS (MULT./DIV.)

100

8 = -2/3t

t = -12

200

3lyl = 33

{11, -11}

300

Three quarters of a number is 21. Find the number.

28

400

(6 - 4y)/2 = y

{1}

500

One kilogram of sea water contains, on average, 35 g of salt. How many grams of sea water contain 4.2 g of salt?

120 g

USING SEVERAL TRANSFORMATIONS

100

2x/3 = 8

12

200

1/4(20 - 4a) = 6 - a

no solution

300

2(b + 8) - 9 = 5

-1

400

(5-y) + (6 - y) - (5 - y) = 0

y = 6

500

(9lxl + 3) - 5lxl - 3 = 12

{3, -3}

USING EQUATIONS TO SOLVE PROBLEMS

100

Find 3 consecutive odd integers whose sum is 105.

33,35,37

200

Brian has $88 in his savings account. If he saves $3.50 per week, how long will it take him to have $200 in his account?

32 weeks

300

The length of a rectangle is 7 cm more than the width. The perimeter is 78 cm. Find the rectangle's dimensions

16 cm by 23 cm

400

In triangle ABC, AB is 9 cm shorter than AC, while BC is 3 cm longer than AC. If the perimeter of the triangle is 48 cm, find the lengths of the 3 sides.

18 cm, 9 cm,21 cm

500

Write the equation and solve: The absolute value of the sum of -7 and twice a number is 23.

l2x+7l = 23 15 and -8

MYSTERY

100

2m = (1-m)

What is 1/3

200

Name that property: a + (-a) = (-a) + a = 0

Property of opposites

300

3(2 + v) - 4v = v + 16

{-5}

400

6r - 2(2 - r) = 4(2r - 1)

identity

500

Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs 50 cents more than one bowl of soup, while one bowl of soup costs 50 cents more than one carton of juice. What would be the cost of each item: a carton of juice, a fruit cup, and a bowl of soup? (Hint: use a chart)

juice: $1.25 fruit cup: $2.25 soup: $1.75