TRANSFORMATIONS (ADD/SUBRTACT)
TRANSFORMATIONS (MULT./DIV.)
USING SEVERAL TRANSFORMATIONS
USING EQUATIONS TO SOLVE PROBLEMS
MYSTERY
100
-y + 5 = 17
-12
100
8 = -2/3t
t = -12
100
2x/3 = 8
12
100
Find 3 consecutive odd integers whose sum is 105.
33,35,37
100
2m = (1-m)
What is 1/3
200
-3 + (1 + n ) = 9
{11}
200
3lyl = 33
{11, -11}
200
1/4(20 - 4a) = 6 - a
no solution
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
200
Name that property: a + (-a) = (-a) + a = 0
Property of opposites
300
1 = -2 - (4 - w)
7
300
Three quarters of a number is 21. Find the number.
28
300
2(b + 8) - 9 = 5
-1
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
300
3(2 + v) - 4v = v + 16
{-5}
400
9 - (lsl + 7) = 4
no solution
400
(6 - 4y)/2 = y
{1}
400
(5-y) + (6 - y) - (5 - y) = 0
y = 6
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
400
6r - 2(2 - r) = 4(2r - 1)
identity
500
7 - (3 - lml) = 8
{4, -4}
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
500
(9lxl + 3) - 5lxl - 3 = 12
{3, -3}
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
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
M
e
n
u