Equation Review

Front

What is the formula to calculate the total amount saved after a certain number of weeks if you start with an initial amount and save a fixed amount each week?

Back

Total Amount = Initial Amount + (Amount Saved per Week × Number of Weeks)

Front

If Sophie has $14 and saves $5 each week, how much will she have after 10 weeks?

Back

Total Amount = 14 + (5 × 10) = $64

Front

What is the first step to solve the equation 6(5x - 3) + 2 = 14?

Back

Distribute 6 to both terms inside the parentheses: 30x - 18 + 2 = 14.

Front

What is the solution to the equation 3(x - 2) = 18?

Back

x = 8.

Front

How do you isolate the variable b in the equation -11 + 3(b + 5) = 7?

Back

Add 11 to both sides, then divide by 3.

Front

What is the solution to the equation 32 - 7x = -6(x + 3)?

Back

x = -3.

Front

What does it mean to 'solve for a variable'?

Back

To find the value of the variable that makes the equation true.

Front

What is the importance of checking your solution after solving an equation?

Back

To ensure that the solution satisfies the original equation.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the definition of a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable.