For the linear equation, indicate whether the equation has no solution, one solution or infinitely many solutions.
6x + 8 = –8
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3.
For the linear equation, indicate whether the equation has no solution, one solution or infinitely many solutions.
2x – 9 + 3x = 5x – 6 – 3
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4.
For the linear equation, indicate whether the equation has no solution, one solution or infinitely many solutions.
2(3x + 1) = 3(2x + 1)
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5.
Click and drag each equation into the appropriate box according to the number of solutions.
5x + 14 = 3x + 14
2x + 9 = 2x – 9
3(2x + 2) = 2(3x + 3)
8x – 4 = 2x
5x – 6 = 5x + 8 – 14
5x + 2 = 2x + 5
No Solutions
One Solution
Infinitely Many Solutions
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6.
Solve: 4(x – 1) = x + 5
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7.
Solve: –11x + 3 = –85
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8.
Solve: –16 = –4(x + 1)
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9.
Use the numbers provided to fill in each blank and create an equation that has no real solution. Each number may be used once. Type the entire right side of the equation as your answer.
1 –2 2 –4 4 5 9
5x – 2 + 4x = _______x + ________
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10.
Use the numbers provided to fill in each blank and create an equation that has infinitely many solutions. Each number may be used once. Type the entire right side of the equation as your answer.
1 –2 2 –3 3 –4 4
x + 2x + 3 + 3 = _____(x + _____)
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11.
Mika is solving the following equation:
3 + 5x = 5(x + 2) – 7
Her final two steps are:
3 + 5x = 5x + 3
3 = 3
Select the statement(s) that correctly interprets Mika's solution.
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12.
Malila is solving the following equation:
3(x + 4) = 3x + 11
Her final two steps are:
3x + 12 = 3x + 11
12 = 11
Select the statement(s) that correctly interprets Malila's solution.
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13.
Miguel is solving the following equation:
–3x – 10 – 2 = 7x – 7 – 5x
His final two steps are:
–3x = 3
x = –1
Select the statement(s) that correctly interprets Miguel's solution.
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14.
Enter the value of x that makes the equation true. ( Solve for x )
–2(x – 1) + x = 17 + 4x
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15.
Enter the value of x that makes the equation true. ( Solve for x )
2(4x − 3) − 8 = 4 + 2x
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16.
Enter the value of x that makes the equation true. ( Solve for x )
11x – 9 = –x + 15
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17.
Enter the value of x that makes the equation true. ( Solve for x )
5x + 34 = −2(1 − 7x)
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18.
Enter the value of x that makes the equation true. ( Solve for x )
6 = 1 − 2x + 5
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19.
Which of the following is the best first step in solving the following equation?
2(4x − 3) − 8 = 4 + 2x
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20.
Which of the following is the best first step in solving the following equation?