Solving Equations

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

Solve for the variable in the equation: 3x = -27.

Back

x = -9.

Front

Solve for x in the equation: 8x - 10 = -34.

Back

x = -3.

Front

Solve the equation: 3(x - 4) = -3.

Back

x = 3.

Front

Translate into an expression: two more than three times x.

Back

2 + 3x.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What is the solution to the equation: 2x + 4 = 12?

Back

x = 4.

Front

What is the first step in solving the equation: 4x - 8 = 0?

Back

Add 8 to both sides.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.