1. -11 + x = -7x - 8(-x + 1)
Solve:
-11 + x = -7x + 8x - 8
Combine like terms:
x + 7x - 8x = 8 - 11 + 8
Simplify:
0 = 5
This equation has no solution.
2. 33 + 6x = 3(-1 + 5x)
Simplify:
33 + 6x = -3 + 15x
Combine like terms:
6x - 15x = -3 - 33
Simplify:
-9x = -36
Divide both sides by -9:
x = 4
This equation has one solution.
3. -5(x - 1) = 5 - 5x
Distribute -5:
-5x + 5 = 5 - 5x
Combine like terms:
-5x + 5x = 5 - 5
Simplify:
0 = 0
This equation has infinite solutions.
4. 12 + 4n = 4(n + 3)
Distribute 4:
12 + 4n = 4n + 12
Subtract 4n from both sides:
12 = 12
This equation has infinite solutions.
5. 4(-4 - 8m) + 28m + 4m = -272
Simplify:
-16 - 32m + 28m + 4m = -272
Combine like terms:
-32m + 28m + 4m = -272 + 16
Simplify:
0 = -256
This equation has no solution.
8th grade Math Lesson 2-7 Practice problems
1. Solve and determine if the equation has one, none or infinite solutions.
-11 + x = -7x - 8(-x + 1)
2. Solve and determine if the equation has one, none or infinite solutions.
33 + 6x = 3(-1 + 5x)
3. Solve and determine if the equation has one, none or infinite solutions.
-5(x - 1) = 5 - 5x
4. Solve and determine if the equation has one, none or infinite solutions.
12 + 4n = 4(n + 3)
5. Solve and determine if the equation has one, none or infinite solutions.
4(-4 - 8m) + 28m + 4m = -272
1 answer