7/8 Accel. M2.TB

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

How do you solve a linear equation with one variable?

Back

To solve a linear equation, combine like terms, use inverse operations to isolate the variable, and simplify to find the value.

Front

What does it mean to 'distribute' in algebra?

Back

Distributing means multiplying a term outside of parentheses by each term inside the parentheses.

Front

What is the solution to the equation 21=3+4n+5n?

Back

The solution is n=2.

Front

How do you solve for k in the equation 96=6(k+8)?

Back

First, divide both sides by 6, then subtract 8 from both sides to find k=8.

Front

What is the first step in solving the equation 0.5(2x-6)=0.2(4x-10)?

Back

Distribute the 0.5 and 0.2 to simplify both sides of the equation.

Front

What is the value of x in the equation -118=-5(4+7x)+7?

Back

The value of x is 3.

Front

How do you handle negative coefficients in equations?

Back

When dealing with negative coefficients, apply the same algebraic principles, but remember that multiplying or dividing by a negative reverses the inequality.

Front

What is the solution to the equation 97=-3(6n-5)-8?

Back

The solution is n=-5.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.