QSE1- A.5A Solving Equations

Front

What is the first step in solving the equation 3 + 12(3p + 2) = 9(p - 3)?

Back

Distribute the 12 to both terms inside the parentheses.

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

Solve for p: 3 + 12(3p + 2) = 9(p - 3)

Back

p = -2

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.

Front

Solve for x: 4(1-x)+3x=-2(x+1)

Back

x = -6

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

Solve the equation: ½ (2x + 6) = 3x + 13

Back

x = -5

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.