3. A rescue helicopter and an ambulance are both
traveling from the scene of an accident to the hospital.
Each grid line is 1 mile; the solid line represents the
ambulance, the dotted line, the helicopter.
How far did each travel?
4. 5x 1 3x 5 2.
Set up the equation
so that there will be
only one radical on
each side of the equal sign.
Square both sides
of the equation.
Simplify.
Simplify by dividing
by a common factor of 2.
Square both sides of the
equation.
5x 1 2
2 3x 5 2
5x 1
5x 1 3x 1 4 3x 5
2x 2 4 3x 5
x 1 2 3x 5
x 1 2
2 3x 5 2
x2
2x 1 4(3x 5) Use Foil.
5x 1 2 3x 5
Use Foil. 4 4 3x 5 (3x 5)
Solve
Solving Radical Equations
8. A store mixes some candy worth $3.50 a pound with other
candy costing $1.00/lb. There are 10 more pounds of the
cheaper candy than the more expensive one. The total value of
the mixture is $28. How many pounds of each type of candy
are there? What is the per pound cost of the new candy mix?
Expensive
$3.50/ lb
x lbs.
3.5x
Cheaper
$1.00/ lb
x + 10 lbs.
1(x + 10)
Mix
+ =
3.5x + 1.0x +10 = 28 x = 4; x + 10 = 14
$28
Mixture Type Word Problems:
9. Mixture Type Word Problems:
Redtop
$9.50/ lb
40 lbs.
$9.50(40)
Mixture
$10.50/ lb
60 lbs.
$10.50(60)
Bluegrass
x
100 lbs.
100x
$9.50(40) + $10.50(60) = 100x x = $10.10