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No Solution / Same Solution / Infinite Solutions
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More Equations
100
4 = -8 + x
x= 12
100
The formula to calculate the total cost is
T = 3m + 4n
Solve for m
(on test its multiple choice)
m=1/3T − 4/3n
100
What is the difference between an equation having no solution vs infinite solutions?
No solution
There is no value of x that can make the equation true.
Infinite Solutions
Every value of x makes the equation true.
100
Which functions are nonlinear? Select three such functions.
A, C, E
100
Solving Equations
4x + 3 = 7
x = 1
200
6x – 13 = 11
x= 4
200
5 + 3c = 11 + c
A. c = 3
B. c = 4
C. c = 5
D. c = 6
A. c = 3
200
k=−16
200
Two tanks hold water. Tank A starts with 120 gallons and gains 8 gallons each hour. Tank B starts with 300 gallons and loses 12 gallons each hour.
Write an equation for each tank that represents the amount of water after x hours.
A = 120 + 8x
B = 300 − 12x
200
Triangles 5
Hearts 3
300
3 = -2 – x
x= -5
300
4(3c − 2) + 5 = 2c + 27
C = 3
300
Look at the equations below. Identify which equations habe no solution.
A.
7x − 4 = 5x + 10
B.
12 − 3x = −3(x+4)
C.
4x + 8 = 2(2x+5)
D.
9 − x = 2x + 9
Answer: B and C
300
Mason didnt multiply 1/4 and -12
Correct Answer
x=72
300
3x + 5 = 14
x= 3
400
5x = -80
x= -16
400
Solving Equations
14 = (3a + 6) + 2
a=2
400
5(3x−4) − 2x + 7 = 13x − 20 + 2(1−4x)
Solve Step by Step
Infinite Solutions
400
(multiple choice)
Heart = 6
500
x/2 + 5 =10
x= 10
500
Solving Equations
-21 = 7(5k - 8)
k = 1
500
Select all the equations that have no solution.
A. 4(x − 2) = 4x + 10
B. 3x + 7 = 3x − 1
C. 5(x + 1) = 5x + 5
D. 2x − 3 = x + 4
A (gives −8 = 10 → no solution)
B (gives 7 = −1 → no solution)
500
The equation
d=4t+6
is used to represent the distance d (in meters) of a robot after t seconds.
What is the value of t if the robot has traveled 38 meters?
A. 4 seconds
B. 6 seconds
C. 8 seconds
D. 10 seconds
C. 8 seconds
500
x/3 - 6 = -3
x= 9