Special Cases for Equations

Front

Solve: 9y − 5 = 2y + 9

Back

y = 2

Front

Solve: 3x + 1 + 2x = 4x − 2 − 7x + 7

Back

x = ½

Front

Solve: 10x + 3 + 3x = 5x + 1 + 8x + 2

Back

infinitely many solutions

Front

Solve: 3(x − 2) = 3x − 6

Back

infinitely many solutions

Front

Solve: 6(y + 4) = 6y + 10

Back

no solutions

Front

Define 'infinitely many solutions' in the context of equations.

Back

When an equation has infinitely many solutions, it means that any value for the variable satisfies the equation.

Front

Define 'no solutions' in the context of equations.

Back

No solutions means that there is no value for the variable that can satisfy the equation.

Front

What is the first step in solving linear equations?

Back

Isolate the variable on one side of the equation.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.