Linear Equations and Linear Systems: Check Your Readiness (U4)

Front

What is a linear equation?

Back

Front

What does it mean for a number to be a solution to an equation?

Back

A number is a solution to an equation if, when substituted for the variable, it makes the equation true.

Front

How do you determine if x = 2 is a solution to the equation -2(x - 4) = 4?

Back

Substitute 2 for x: -2(2 - 4) = -2(-2) = 4, which is true. Therefore, x = 2 is a solution.

Front

What is the process to solve the equation 2(x - 4) = 10?

Back

Distribute: 2x - 8 = 10. Add 8 to both sides: 2x = 18. Divide by 2: x = 9.

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the equivalent expression for -2(x - 5)?

Back

The equivalent expression is -2x + 10.

Front

Back

Front

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

Back

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line when graphed.