GVMS - Solve Multi-step equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

How do you solve the equation 2(3x + 1) = 14?

Back

First, distribute the 2: 6x + 2 = 14. Then, subtract 2 from both sides: 6x = 12. Finally, divide by 6: x = 2.

Front

What is the first step in solving the equation 4(a + 3) = -32?

Back

The first step is to distribute the 4: 4a + 12 = -32.

Front

How do you isolate the variable in the equation 7 - 3y = 22?

Back

Subtract 7 from both sides to get -3y = 15, then divide by -3 to find y = -5.

Front

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

Back

Isolating a variable means manipulating 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 6(2n + 5) = 66?

Back

First, distribute the 6: 12n + 30 = 66. Then, subtract 30 from both sides: 12n = 36. Finally, divide by 12: n = 3.

Front

How do you solve the equation 5(x - 13) = 35?

Back

First, distribute the 5: 5x - 65 = 35. Then, add 65 to both sides: 5x = 100. Finally, divide by 5: x = 20.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming that it is correct.

Front

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

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power to simplify the equation.

Front

What is the role of the distributive property in solving equations?

Back

The distributive property allows you to multiply a single term by each term inside a set of parentheses, which helps simplify equations.