Equations w/Variables on Both Sides

Front

What is the goal of solving equations with variables on both sides?

Back

Find the value of the variable.

Front

Solve the equation: 6x + 10 = 2(3x + 4)

Back

No solutions.

Front

Simplify the expression: 8(5 + w)

Back

40 + 8w.

Front

What is the first step to solve the equation -11 - 3x = 44 - 2x?

Back

Get the variables on one side.

Front

Which equation has infinite solutions? 3x - 1 = 3x + 4 or 2x - 3 = -3 + 2x?

Back

2x - 3 = -3 + 2x.

Front

What does it mean if an equation has no solutions?

Back

The equation is contradictory and cannot be true for any value of the variable.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation has a degree of 1, while a quadratic equation has a degree of 2.

Front

What does it mean to simplify an expression?

Back

To reduce it to its simplest form by combining like terms and eliminating parentheses.