8.EE.7 Checkpoint 1.4

Front

What is the process to determine if a number is a solution to an equation?

Back

To determine if a number is a solution to an equation, substitute the number for the variable in the equation and simplify. If both sides of the equation are equal, then the number is a solution.

Front

What does it mean to solve for a variable in an equation?

Back

Solving for a variable means isolating the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation 3x + 5 = 8?

Back

The first step is to subtract 5 from both sides of the equation to isolate the term with the variable.

Front

How do you simplify the expression -3(x - 4) + x?

Back

Distribute -3 to both terms inside the parentheses: -3x + 12 + x, then combine like terms.

Front

What is the solution to the equation 3x + 5 = 8?

Back

x = 1.

Front

What is the solution to the equation -3(x - 4) + x = 4x - 12?

Back

x = 4.

Front

How do you solve the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to (v + 8), combine like terms, and isolate v to find v = 10.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What does the term 'like terms' refer to in algebra?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the solution to the equation 2(3r + 4) - 3(r + 1) = 14?

Back

r = 3.