Find the extraneous solution of the equation

|2x10|=3x

x=

Solve the equation

|4x+5|=|29+4x|. Graph the solutions, if possible.

Solve the literal equation

2ab=8b4a

a=

Solve the literal equation

cy7=5d+3y

y=

The value of the surface area (in square centimeters)of the cone is equal tothe value of the volume (in cubic centimeters) of the cone. The formula for the surface areaSof a right cone isS=r2+rl,whereris the radius of the base andlis the slant height. Find the height of the cone.

Height:cm

Solve the literal equation

|ax+b|=cfot

x= x=

You buy 8 gallons of gasoline at

pdollars per gallon and pay $23.20. Write n equation to find the price of one gallon of gasoline. Then fine the price of one gallon of gasoline.

An equation is blank =23.20.

The price of one gallon of gasoline is

You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. nd solve an equation to find the additional numberxof cookies you need to bake in order to have 2 cookies for each student. equation so that the units on each side of the equation are cookies per student.

Equation: blank =2

Number of cookies:

x=

The shortest known adult woman is about 24 inchestall and tallest known adult woman is about 92 inches tall. Write n absolute value equation that represents the minimum and maximum heights. Usexto represent the heights.

Equation:

The formula for the future value

V(in dollars) of an investment earning simple interest is

V=p+prt, wherep(in dollars)is the principal,ris the annual interest rate (in decimal form)andtis the time (in years).

a.Solve the formula for

p. p=

b.An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the nearest cent.

Amount of principal: