Solving Linear Equations and Errors

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or have the same value when expressed as a decimal.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5.

Front

What is the sum of x and 3 if it equals 5?

Back

x + 3 = 5.

Front

How do you write a ratio as a fraction?

Back

To write a ratio as a fraction, place the first quantity over the second quantity.

Front

What is the simplest form of the ratio 24 players to 3 teams?

Back

8/1.

Front

Identify the error: 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 a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.

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 3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with the variable.