Writing Equations
the difference of f and five times g is the same as 25 minus f
f - 5g = 25 - f
g + 5 = 33
g = 28
12 = -4(-6x-3)
x = 0
11+2p = p+4
p = -7
m = {7,-7}
Translate into a sentence:
7(p+23) = 102
seven times the quantity of a number added to twenty-three is one hundred and two
104 = y - 67
y = 171
-(7-4x) = 9
x = 4
-7k-4k = 8-2k-8k
k = -8
l x/7 l = 3
x = {21,-21}
one half of g plus thirty-two is the same as the sum of fifteen and six times g
1/2 g + 32 = 15 + 6g
8/9 = 4/5 k
k = 1 1/9
p-4 = -9+p
no solution
6x+1 = -6(1-x)
No Solution
-3 l p l = -12
p = {4,-4}
Celsius temperature C is five ninths times the difference of the Fahrenheit temperature F and 32
C = 5/9 (F - 32)
-r / 4 = 1/7
r = -4/7
-28 = -7(3x+4)+21x
Infinite Solutions
DAILY DOUBLE
DAILY DOUBLE
l a - 5 l / 8 = 5
a = {45,-35}
Given the perimeter P and width w of a rectangle, write a formula to find the length l.
l = (P-2w) / 2
Translate, then solve:
two thirds equals negative eight times a number.
2/3 = -8x
x = -1/12
-5(1-5x)+5(-8x-2)=-4x-8x
x = -5
19/4 - 7/2 a = -1/4 a + 3/2
a = 1
l x/7 l -8 = -7
x = {7,-7}