(P) Solving Linear Equations

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. It can be written in the form ax + b = c, where a, b, and c are constants.

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 -3 = x + 5?

Back

Subtract 5 from both sides to isolate x.

Front

How do you distribute in the equation 4(2x - 3)?

Back

Multiply 4 by each term inside the parentheses: 4 * 2x - 4 * 3 = 8x - 12.

Front

What is the solution to the equation 4(2x - 3) = 6x + 2?

Back

x = 7.

Front

What is the first step to solve the formula for r in the equation rt = d?

Back

Divide each side by t to isolate r.

Front

How many centimeters are in 10 inches?

Back

25.4 cm.

Front

What is the first step that is wrong in the equation -3(x + 2) = -2(2x - 4)?

Back

Step 1 is wrong: -3(x + 2) should be -3x - 6, not -6x - 6.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value by getting it alone on one side of the equation.

Front

What does it mean to combine like terms?

Back

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