Write an Equation
Find the equation that results from adding 3 to both sides of x = 4
x + 3 = 7
One of the numbers (2, 3, 5, 10) is the solution to the equation 3x + 5 = 14.
Find the solution by trial and error.
3
A packet of lollies is shared equally between six friends. Debbie eats three of her lollies and has four lollies left. How many lollies were in the packet?
42 lollies
What is the inverse of
x 1/2
?
divide 1/2
Find the equation that results from adding 7 to both sides of 2x - 7 = 3
2x = 10
4x - 11 = 25
x = 9
In a basketball match, Vince scored some field goals worth two points each, and also one goal worth three points. He scored a total of 19 points for the game. How many field goals did he score?
8 field goals
Find t using the inverse operation: t-6 =0
t = 6
Find the equation which results from subtracting 6 from both sides of 3x + 6 = -1
3x = -7
x/5 +11 = 9
x = -10
Julian has been given a bag of chocolate truffles for his birthday. He decides to eat them all by himself. After eating 6 of them, however, he starts feeling ill and does not want any more. He shares the rest with his three sisters. If each of Julian’s sisters is given 4 truffles and there is one left over, how many truffles were originally in the bag?
19 truffles
Find t using an inverse operation: t +9=5
t = -6
Find the equation that results from multiplying both sides of by 3
(1-x)/3 = 4
1 - x = 12
4(x-8) = 52
x = 21
Each day a salesman is paid $50 plus one fifth of the sales he makes for the day. If the salesman is paid $110 one day, what value of sales did he make that day?
$300
Solve using an inverse operation:
d/3 = -4
d = -12
Find the equation that results from dividing both sides of by 8
8(x+2) = 24
x + 2 = 3
(x-11)/15 = -4
x = -49
Lucien is training to be a cyclist. There is a training course 2 km from his house. Every day he cycles to the training course, completes a lap of the training course, then cycles home again. Over the course of one week he cycles 84 km. How long is the training course?
8 km
Solve using an inverse operation: 9n = -72
n = -8