Solving Equations with Fractions and Decimals

Front

Solve the equation: 0.5x + 3 = 7.5

Back

x = 9

Front

What do you multiply each term by to clear the decimals in the equation: 3.04y - 6.7 = 9.12?

Back

100

Front

Solve the equation: 2.5x - 1.5 = 8

Back

x = 3.4

Front

Solve: -1/3(x + 6) = 19

Back

x = -63

Front

A linear equation word problem: If 5 times a number plus 3 equals 23, what is the number?

Back

4

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 it mean to isolate a variable?

Back

To manipulate an equation so that the variable is on one side and all other terms are on the other side.

Front

How do you clear fractions from an equation?

Back

Multiply every term by the least common denominator (LCD) of the fractions.

Front

What is the least common denominator (LCD) of 1/2 and 1/3?

Back

6

Front

What is the first step in solving an equation with decimals?

Back

Clear the decimals by multiplying through by a power of 10.