Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

Solve for x: 8x - 10 = -34

Back

x = -3

Front

What is the first step in solving the equation 38 + 7k = 8(k + 4)?

Back

Distribute the 8 on the right side: 38 + 7k = 8k + 32.

Front

Solve for k: 38 + 7k = 8(k + 4)

Back

k = 6

Front

What is the solution to the equation x - (-11) = -5?

Back

x = -16

Front

If a bottle is ¾ full and 80% of the water is drunk, how do you find the percentage of water left?

Back

Calculate 20% of ¾, which is 0.2 * 0.75 = 0.15 or 15%.

Front

What is the expression for the total number of chairs if Moore has v small chairs and 22 big chairs?

Back

The expression is v + 22.

Front

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

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the importance of checking your solution in a linear equation?

Back

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