Solving Equations in One Variable

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

Front

What is the solution to the equation 10x - 3 = 3x + 32?

Back

x = 5

Front

What value must go in the blank for the equation ___ + 10x = 8x + 4 to have no solution?

Back

-2x

Front

Which equation has infinite solutions? 3x + 9 = 2x + 9, 8x = 8x + 4, 3(4x + 4) = 12x + 4, -5x + 10 = 10 - 5x?

Back

-5x + 10 = 10 - 5x

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it graphs to a straight line.

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 12x - 14x + 2 = 20 - 6?

Back

x = -6

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numerical factors that multiply the variables in an equation, affecting the equation's slope and position.