What are the inverses of addition and multiplication?
Subtraction and division
100
Define inverse functions.
takes the output value, performs some operation(s) on this value, and arrives back at the original function's input value.
100
What is the inverse of this problem? List 1.
10+15=25
25-10=15 or 25-15=10
100
Define additive inverse.
What you add to a number to get zero.
100
What is the following number's additive inverse?
-37
37
200
Solve the following equation using inverse operations:
2+3y=11
2+3y=11
-2 -2
3y=9
3y/3=9/3
y=3
200
Give an example of an inverse function.
y=2x- inverse is x=2y
200
Paul went to the market and bought 10 apples, 6 oranges, and 7 pears. How much fruit did Paul buy? Write the equation, and then all of it's inverse relationships.
10+7+6=23, inverses are 23-10-7=6, 23-10-6=7, 23-7-6=10
200
Define Multiplicative Inverse.
When you multiply a number by its "Multiplicative Inverse" you get 1.
200
What is the following number's multiplicative inverse?
73
1/73
300
Define inverse operations.
"Undoing," working backwards, or retracing steps to return to an original value or position is referred to as using the inverse operation.
300
Is the Inverse of a function also a function?
No. The inverse of a function is always a relation but not necessarily a function.
300
The inverse relationship of an equation is 36939-39-900-6000=30000. What is the original equation?
30000+6000+900+39=36939
300
Suzy lost 5 marbles. What is the Additive inverse of -5?
5 because -5+5=0
300
Fing the Inverse Relationship:
36+7+8+9+10=70
70-10-9-8-7=36
400
Pac-man is working on a math worksheet during class about inverse operations. He is stuck on the problem 36y=252. Help him solve the equation using inverse operations.
36y=252
36y/36=252/36
y=7
400
What is the inverse of the function y = x + 22?
The inverse of this function is f^-1(x) = x -22
400
Paula is looking at collections of bells she might like to purchase. She spots a collection that contains 7 gold bells, 3 silver bells, and 10 red bells. All together, its a total of 20 bells. Write the equation and it's inverse.
A man is selling sports equipment on a street corner. You walk up to him and buy 6 helmets for y dollars each. All together, you spend a total of $90. Write the equation, then solve for y.
6y=90
6y/6=90/6
y=15
You spend a total of $15.
500
Daily Double:
f(x) ={(33,14), (23,15), (11,12), (13,14 )}
What is the inverse of this function?
f^-1(x) ={(14,33), (15,23), (12,11), (14,13)}
500
The inverse of a problem is 123-20-15-70-3=15. What is the original problem?
20+15+70+3+15=123
500
Replace x with additive or multiplicative inverses.
7x=1
-3856+x=0