Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

What is the solution for x in the equation: 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then solve for x to find x = 5.

Front

Solve for v in the equation: 8v - v + 8 = 22.

Back

Combine like terms to get 7v + 8 = 22, then solve for v to find v = 2.

Front

What is the solution for x in the equation: 4x + 5x = 27?

Back

Combine like terms to get 9x = 27, then solve for x to find x = 3.

Front

Solve for b in the equation: 11 + 3b + 5 = 46.

Back

Combine like terms to get 3b + 16 = 46, then solve for b to find b = 10.

Front

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

Back

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

Front

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

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the principle of equality in solving equations?

Back

The principle of equality states that if you perform the same operation on both sides of an equation, the two sides remain equal.

Front

What is the first step in solving the equation: 3(x + 4) = 21?

Back

Distribute 3 to both terms inside the parentheses to get 3x + 12 = 21.

Front

How do you check your solution after solving an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.