Review for Unit 2 Flashcard 5: Writing and Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 5x + 3x + 7 = 31?

Back

Combine like terms: 5x + 3x becomes 8x, so the equation becomes 8x + 7 = 31.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 3y + 1.25 = 2.75?

Back

y = 0.5.

Front

What is the perimeter of a hexagon?

Back

The perimeter of a hexagon is the total length of all its sides.

Front

If the perimeter of a hexagon is 18.6 yards and one side is 3.7 yards, how do you find the length of the other sides?

Back

Subtract the length of the known side from the total perimeter, then divide by the number of remaining sides.

Front

What is the value of k in the equation 2k + 4 = 12?

Back

k = 4.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What is the solution to the equation 2(x - 6) = 12?

Back

x = 12.