Solving Linear Equations

Front

Which operation will cancel out multiplication?

Back

Division

Front

Find the error in the problem below: 19 - 2k = 3k - 1; +3k +3k; 19 + 1k = -1; -19 -19; k = -20

Back

Instead of adding 3k they should subtract 3k.

Front

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

Back

Subtract 7.

Front

What step would you take to solve this equation? Multiply both sides of the equation by 2, Divide both sides of the equation by 2, Add 2 to both sides of the equation, Subtract 2 from both sides of the equation.

Back

Multiply both sides of the equation by 2.

Front

Solve the following equation: x + 7 = 28

Back

x = 21.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'isolating the variable' mean?

Back

Rearranging an equation to get the variable on one side and the constants on the other.

Front

What is the solution to the equation 2x - 4 = 10?

Back

x = 7.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.