Number of Solutions
What are:
One unique solution
No solutions
Infinitely Many Solutions
The solution to the following equation
2x+10=20
x=5
The steps we use to solve multi-step linear equations
What are D (Distribute) C (Combine Like Terms) M (Move variable) A (Add/Subtract Constant), M (multiply/divide)
The solution to the following equation
4(2x + 3) = 44
What is x = 4
The first step you take when writing an equation with an unknown value
The number of solutions the following equation would have: 5x + 6 = 3x + 11
What is one unique solution
The solution to the equation
4x - 8 = 24
x = 8
The first step used in solving the following equation
5(3x + 4) = 6x + 10 - x
What is distribute the 5 to the 3x and 4
What is x = -2
The following statement in math terms:
Fifteen more than twice the value of some number
15 + 2x OR 2x + 15
The characteristics a linear equation in 1 variable with no solutions has
What are same coefficients, different constants
The solution to the equation
-3x + 9 = 27
x = -6
The second step when solving the following equation
5(3x + 4) = 6x + 10 - x
What is combine the 6x and -x on the right side
The solution to the equation
0.5x + 1.8 - 2.2x = -3.64
What is 3.2
The equation that represents the following situation:
A can of cat food costs $0.75 and a bag of dry food costs $9.50. If $24.50 was spent, how many cans of cat food were bought?
What is 0.75x + 9.50 = 24.50
The type of solution these equations have
5x + 10 = 5(x + 2)
6(2x + 3) = 3 (4x + 6)
What is infinitely many solutions
The solution to the following equation
(1/2)x + 4 = 16
x = 24
The third step used when solving the following equation
5(3x + 4) = 6x + 10 - x
What is subtract the 5x on both sides (from right to left)
The solution to the equation
12x + 9 - x = 3(2x - 7)
What is x = -6
The equation that represents the following situation:
Alex is 160 pounds and gaining 5 pounds of muscle each month. Gerard is 320 pounds and losing 11 pounds per month.
What is 160 + 5x = 320 - 11x
One unique solution
No solutions
Infinitely many solutions
Teacher checked
The solution to the following equation
(2/3)x + 6 = 28
x = 33
The complete description of how to solve the following equation
5(3x + 4) = 6x + 10 - x
Distribute the 5
Combine 6x and -x
Move the 5x (subtract from both sides)
Subtract 20 on both sides
Divide by 10 on both sides
The solution to the equation
(x+5)/3 = (x-2)/2
What is x = 16
The solution to the following problem:
Alex is 160 pounds and gaining 5 pounds of muscle each month. Gerard is 320 pounds and losing 11 pounds per month. How many months will it take for them to weigh the same amount?
What is 10 months.