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How many solutions does the equation have? 10 + 4x = 2(2x + 5)
infinitely
How many solutions does each equation have? 2x + 6 = 7x + 5
One solution; the coefficients for the variables are different on each side of the equation
How many solutions does each equation have? 6v+8=8+6v
Infinitely many solutions; Variable terms and constant terms are the same on both sides of the equation.
How many solutions does each equation have? 10+e=e-10
One solution; The coefficients for the variables are different on each side of the equation.
What constant term or variable term could you write on the line to create an equation with only one solution? 12x-3=12x+_____
Possible answer: 14x; The coefficient for the variable must be different on each side of the equation.
What constant term or variable term could you write on the line to create an equation with no solution? 12x-3=12x+_____
Any number other than -3 will result in a false statement
What constant term or variable term could you write on the line to create an equation with infinitely many solutions? 12x-3=12x+_____
-3; only -3 will give you the same expression on each side of the equation
How many solutions does 2/3(3x-15)=x-10 have?
One solution
What constant term or variable term could you write on the line to create an equation with only one solution? 2x-1=___x-1
Missing value can be any number except 2
What constant term or variable term could you write on the line to create an equation with only one solution? 2(__x-2)=6x+5
Missing value can be any number except 3
What constant term or variable term could you write on the line to create an equation with no solution? 3(4x-6)=___x-____
Missing coefficient must be 12. Missing constant can be any number except 18
Tell whether the equation has no solution, one solution, or infinitely many solutions. 2x+5=5x-1
one solution
Tell whether the equation has no solution, one solution, or infinitely many solutions. 3x-12=3x+1
no solution
Tell whether the equation has no solution, one solution, or infinitely many solutions. 1/3(3x-12)=x-4
infinitely many solutions
Tell whether the equation has no solution, one solution, or infinitely many solutions. -2(2x+3) = -4x+6
no solution
Tell whether the equation has no solution, one solution, or infinitely many solutions. 7x-1=4x+8
one solution
