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12 questions
Which equation has no solution?
3x + 7 = 7
7 + 3x = 3x - 7
15 + x = x + 15
-2x + 5 = 5x - 2
How many solutions does the equation
10 - 3x + 10x - 7=5x - 5 + 2x + 8 have?
one solution
two solutions
no solution
infinitely many solutions
Solve for x:
1/7x - 6 = 3/7x + 4
30
-35
42
-40
When you solve 4(x + 2) = 22, you must simplify the equation first. What would the first step look like?
4x + 8 = 22
4x + 2 = 22
x + 8 = 22
x + 2 = 22
Solve for x:
5(x - 8) = 3x + 4
1.5
6
11
22
Solve:
-5x + 10 = -2x - 11
6
7
-6
-7
Solve for x:
2(2x + 6) = 8x - 28
x=9
x=2
x=10
x=6
One way to solve this equation
2/7 x + 3 = 8/7 x - 8
is to first
multiply both sides through by 2
multiply both sides through by 8
multiply both sides through by 7
add x to both sides
If you double a number and then add 12, you get 4/5 of the original number. Let x represent the original number.
Which equation represents this situation?
2x + 4/5 = 12
2x + 12 = 4/5 x
4/5 + 4x = 5
12x - 2 = 4/5 x
Carpet Cleaner A charges $28.95 plus $18 per room. Carpet Cleaner B charges $19.85 plus $32 per room. Which equation can be used to find the number of rooms for which the total cost of both carpet cleaners is the same?
28.95x + 18 = 19.85 + 32
28.95 + 32x = 19.85 + 18x
28.95 + 18x = 19.85 + 32x
(28.95 + 18)x = (19.85 + 32) x
Select all the equations which will result in infinitely many solutions?
x - 9 = x + 9
2x - 3 = 2x - 3
5x = 5x
-3x + 8 = 8 - 3x
Solve for m.
2m + 1 + m = 4(m - 2) + 7
-4
-2
2
no solution
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