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 5k + 9 = 19?

Back

Subtract 9 from both sides to isolate the term with the variable: 5k = 10.

Front

How do you isolate the variable in the equation 5k = 10?

Back

Divide both sides by 5 to find k: k = 2.

Front

What is the solution to the equation -7(6 + d) = 49?

Back

d = -13.

Front

What is the process to solve the equation 2c - 12 = 9c + 2?

Back

Rearrange the equation to isolate c: 2c - 9c = 12 + 2, leading to c = -2.

Front

What does it mean to rearrange an equation?

Back

Rearranging an equation involves moving terms from one side to the other to isolate the variable.

Front

What is the solution to the equation -3a + 8 = 14?

Back

a = -2.

Front

How do you solve the equation -10(2m + 1) = -50?

Back

First, divide both sides by -10, then solve for m: m = 2.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.