Simple Equations
-c + 7 = 0
c = 7
0 = 14 - y + 8y + 4
y = -18/7
(x-6)/2 = (6x)/3
x = 2
A number decreased by 6 is 81.
DO NOT SOLVE
x - 6 = 81
Six more that double an unknown integer is 98. What is the number?
46
x/4 + 7 = 18
x = 44
4(x - 3) = -3(x - 7) + 23
x = 8
1/5*(m-4) = 5 + m/10
x = 58
Twice a number increased by 7 is 31.
DO NOT SOLVE
2x + 7 = 31
Two consecutive numbers have a sum of -87. What are the two numbers?
-44 and -43
Is ANSWER: k = -1/2
4k - 5 = -11
LS does not equal RS
Answer is not -1/2
Is ANSWER: x = 2
2(5x+3) - 5 = 5x + 6
LS does not = Rs
Answer is INCORRECT
(2c-5)/7 = (3c-1)/5
c = -18/11
An integer increased by 8, tripled is equal to -35.
DO NOT SOLVE
(x - 8)3 = -35
3(x - 8) = -35
Three consecutive even numbers have a sum of 144. What are the integers?
46, 48, 50
x = -4
x(x - 11) = 32 + x (x + 3)
x = -4
12/x = x/3
x = 6
Five less than half a number is equal to the quotient of the number and 9
1/2x - 5 = x/9
The sum of two numbers is 60. Twice the larger number decreased by three times the smaller number is 45. What are the numbers?
The numbers are 15 and 45.
Does m = 51?
6m - 6 = 2m + 96
Yes
LS = RS
Answer is CORRECT
Using the same piece of string, a girl roped out a triangular and rectangular configuration. Write and solve an equation to determine how much string the girl had.
The sides of the isosceles triangle were (3x+2) m each, and the base was (2x) m.
The height of the rectangle was 4m and the base was (2x+4) m.
m = meters
56 meters
(x - 2)/3 - 4 = 2x/3 + (x+1)/5
x = -73/8
Twice the difference between a number and 5, divided by 3, is equal to one more that half a number.
2(x - 5)/3 = 1 + 1/2n
A man has only nickles and dimes. However, if he had 2 quarters, he would have a total of $9. The number of dimes is 5 less than 4 times the number of nickels. How many of each coin does he have?
He would have 20 nickels and 75 dimes.