Review for Test Chapter 1

The gasoline used by a car is measured in miles per gallon and is related to the distance traveled by the following formula:

$$miles\ per\ gallon\times number\ of\ gallons=dis.\ traveled$$  

During a trip your car used a total of 46.2 gallons of gasoline. If your car gets 33 miles to the gallon, how far did you traveled?

The gasoline used by a car is measured in miles per gallon and is related to the distance traveled by the following formula:

$$miles\ per\ gallon\times number\ of\ gallons=dis.\ traveled$$  

Your friend has decided to buy a hybrid car that gets 60 miles per gallon. The gasoline tank holds 12 gallons. How far can the car go on one tank of gasoline?

Name the property illustrated by each equation.

$$8\sqrt[]{11}+5\sqrt[]{11}=\left(8+5\right)\sqrt[]{11}$$   

Write an algebraic expression to represent each verbal expression.

The difference between the product of four and a number and 6.

Solve each equation. Check your solution.

$$2\left|3x-4\right|+8=6$$  

Solve each inequality.

$$12<-4\left(3c-6\right)$$  

Solve each inequality.

  $$\left|8t+3\right|\le4$$  

The formula $$C=\frac{5\left(F-32\right)}{9}$$   can be used to convert temperatures in degrees Farenheit to degrees Celsius.

Room temperature commonly ranges from $$64\degree\ F$$   to $$73\degree\ F$$  . Determine the room temperature range in degrees Celsius.

Find the additive inverse and multiplicative inverse for each number.

$$12.1$$   

Write a verbal sentence to represent each equation.

$$\frac{x+3}{4}=5$$