Literal Equations and Proportions Flashcard

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables. It is often solved for one variable in terms of the others.

Front

How do you solve for a variable in a literal equation?

Back

To solve for a variable, isolate the variable on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

Solve for a in the equation: ax - 5 = b

Back

a = \frac{b + 5}{x}

Front

What is the formula for solving proportions?

Back

If a/b = c/d, then ad = bc.

Front

Solve for w in the equation: 3w - 4 = 2

Back

w = 2

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be expressed as a fraction that equals another fraction.

Front

Solve for a in the equation: u = bak

Back

a = \frac{u}{bk}

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

Solve for x: 5x = 50

Back

x = 10