Solving Linear Equations (Blitz STAAR Review)

Front

What is a linear equation?

Back

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 0.75(x + 20) = 2 + 0.5(x - 2)?

Back

Distribute the constants: 0.75x + 15 = 2 + 0.5x - 1.

Front

How do you isolate the variable in the equation -4(2m - 7) = 3(52 - 4m)?

Back

Front

What is the solution to the equation -5x - (-7 - 4x) = -2(3x - 4)?

Back

Front

How do you check if your solution to a linear equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

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

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What does it mean to distribute in an equation?

Back

Front

What is the solution to the equation 4(q + 56.5) = 30q - 112?

Back

Front

What is the significance of the coefficient in a linear equation?

Back

The coefficient represents the rate of change of the variable; it indicates how much the dependent variable changes with a one-unit change in the independent variable.