Number of Solutions Practice

Front

What is the solution to the equation -2(x - 5) = 12 - 3x?

Back

x = 2

Front

What is the solution to the equation 4x - 9 = 3.5x - 9?

Back

x = 0

Front

What is the first step to solve the equation k + 6 = -2(2k - 9)?

Back

Distribute -2 to 2k and -9

Front

What is the solution to the equation 5.5 - x = -4.5 - x?

Back

No Solution

Front

What value for the constant, h, in the equation 4x + 12 = h(2x + 6) will result in an infinite number of solutions?

Back

h = 2

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

How do you determine if two equations are equivalent?

Back

Two equations are equivalent if they have the same solution set.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope and position of the line represented by the equation.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable by performing inverse operations.