Equations Review

Front

What is the solution to the equation 3x - 2 = 3x + 1?

Back

No Solution

Front

Can an absolute value equal a negative number?

Back

No, an absolute value can NOT equal a negative number.

Front

What does it mean if an equation has infinite solutions?

Back

It means that no matter what value is substituted in for the variable, the equation is ALWAYS true.

Front

How do you solve the equation 3(x − 1) = 2x + 9?

Back

x = 12

Front

What is the solution to the equation 5x + 3 = -7?

Back

x = -2

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Front

What is the method of substitution in solving systems of equations?

Back

The method of substitution involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the method of elimination in solving systems of equations?

Back

The method of elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.