Intermediate Algebra (11th edition)

(Marvins-Underground-K-12) #1

Brain Busters Solve each equation.






















Solve each problem. See Examples 7 and 8.


55.A garden has an area of 320. Its length is
4 ft more than its width. What are the dimen-
sions of the garden? (Hint: )


56.A square mirror has sides measuring 2 ft
less than the sides of a square painting. If
the difference between their areas is 32 ,
find the lengths of the sides of the mirror
and the painting.


57.The base of a parallelogram is 7 ft more than
the height. If the area of the parallelogram is
60 , what are the measures of the base and
the height?


58.A sign has the shape of a triangle. The
length of the base is 3 m less than the height.
What are the measures of the base and the
height if the area is 44?


59.A farmer has 300 ft of fencing and wants to enclose a rectangular area of 5000. What
dimensions should she use? (Hint: )


60.A rectangular landfill has an area of 30,000. Its length is 200 ft more than its width.
What are the dimensions of the landfill? (Hint: )


61.Find two consecutive integers such that the sum of their squares is 61.


62.Find two consecutive integers such that their product is 72.


63.A box with no top is to be constructed from a piece of cardboard whose length measures
6 in. more than its width. The box is to be formed by cutting squares that measure 2 in.
on each side from the four corners and then folding up the sides. If the volume of the box
will be 110 in.^3 , what are the dimensions of the piece of cardboard?


30,000= 300 # 100


ft^2

5000 = 50 # 100


ft^2

m^2

ft^2

ft^2

320 = 16 # 20


ft^2

12 x- 322 = 16 x^29 x^2 = 15 x+ 222

513 x- 122 + 3 =- 1613 x- 12 21 x+ 322 = 51 x+ 32 - 2

21 x- 122 - 71 x- 12 - 15 = 0 412 x+ 322 - 12 x+ 32 - 3 = 0

SECTION 6.5 Solving Equations by Factoring 351


x

x + 4

x – 2

x – 2

x

x

h + 7

h

CarCar
Wash
Today
h – 3

h

22

2

2

2

2

2

2

W + 6

W
Free download pdf