For the linear equation, indicate whether the equation has no solution, one solution or infinitely many solutions.
6x + 8 = –8
Question 3
3.
For the linear equation, indicate whether the equation has no solution, one solution or infinitely many solutions.
2x – 9 + 3x = 5x – 6 – 3
Question 4
4.
For the linear equation, indicate whether the equation has no solution, one solution or infinitely many solutions.
2(3x + 1) = 3(2x + 1)
Question 5
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
Question 6
6.
Solve: 4(x – 1) = x + 5
Question 7
7.
Solve: –11x + 3 = –85
Question 8
8.
Solve: –16 = –4(x + 1)
Question 9
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 + ________
Question 10
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 + _____)
Question 11
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.
Question 12
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.
Question 13
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.
Question 14
14.
Enter the value of x that makes the equation true. ( Solve for x )
–2(x – 1) + x = 17 + 4x
Question 15
15.
Enter the value of x that makes the equation true. ( Solve for x )
2(4x − 3) − 8 = 4 + 2x
Question 16
16.
Enter the value of x that makes the equation true. ( Solve for x )
11x – 9 = –x + 15
Question 17
17.
Enter the value of x that makes the equation true. ( Solve for x )
5x + 34 = −2(1 − 7x)
Question 18
18.
Enter the value of x that makes the equation true. ( Solve for x )
6 = 1 − 2x + 5
Question 19
19.
Which of the following is the best first step in solving the following equation?
2(4x − 3) − 8 = 4 + 2x
Question 20
20.
Which of the following is the best first step in solving the following equation?