Solve Equations Review

Front

What is the first step to solve the equation 3(x - 2) = 18?

Back

Distribute the 3 to both terms inside the parentheses: 3x - 6 = 18.

Front

How do you combine like terms in the equation 2x + 3x + 4 = 44?

Back

Add the coefficients of x: (2 + 3)x + 4 = 44, which simplifies to 5x + 4 = 44.

Front

What is the formula to calculate the total cost of labor and parts in Terry's car repair?

Back

Total cost = (Hourly rate * Hours of labor) + Cost of parts.

Front

How do you set up the equation for Mr. Lewis's taxi fare?

Back

Total fare = Base fare + (Cost per mile * Number of miles). In this case: 30 = 3 + 1.50m.

Front

What is the first step to solve the equation -3(2k - 6) = 12?

Back

Distribute -3 to both terms inside the parentheses: -6k + 18 = 12.

Front

What does it mean to isolate the variable in an equation?

Back

To isolate the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

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

Back

x = 8.

Front

How do you find the number of hours Terry was charged for his car repair?

Back

Set up the equation: 40h + 200 = 380, then solve for h.

Front

What is the total cost of a taxi ride if the base fare is $3 and the cost per mile is $1.50?

Back

Total cost = Base fare + (Cost per mile * Number of miles).

Front

What is the solution to the equation 2x + 3x + 4 = 44?

Back

x = 8.