Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
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Q 1/10
Score 0
Which of the following equations has exactly one solution?
30
2x + 3 = 7
5x + 3 = 5x + 3
4(x - 2) = 4x - 8
0x = 4 - 4
Q 2/10
Score 0
Which of the following equations has no solution?
30
3x + 5 = 3x + 10
x/2 + 4 = x/2 + 4
12 = 12x - 11x
6x - 9 = 3(2x - 3)
10 questions
Q.
Which of the following equations has exactly one solution?
1
30 sec
8.EE.C.7.A
Q.
Which of the following equations has no solution?
2
30 sec
8.EE.C.7.A
Q.
Which of the equations below has infinitely many solutions?
3
30 sec
8.EE.C.7.A
Q.
What kind of solution does the equation 10x - 25 = 5(2x - 5) have?
4
30 sec
8.EE.C.7.A
Q.
Which of the following equations represents a situation with no solution?
5
30 sec
8.EE.C.7.A
Q.
Which equation demonstrates that it has no solution?
6
30 sec
8.EE.C.7.A
Q.
Which of the following equations simplifies to a contradiction, indicating that it has no solution?
7
30 sec
8.EE.C.7.A
Q.
Which equation represents a situation with infinitely many solutions?
8
30 sec
8.EE.C.7.A
Q.
Which of the following equations has exactly one solution?
9
30 sec
8.EE.C.7.A
Q.
Which equation below simplifies to show that it has exactly one solution?