1001 Algebra Problems.PDF

185.The length of a room is three more than twice
the width of the room. The perimeter of the
room is 66 feet. What is the length of the room?
a.10 feet
b.23 feet
c.24 feet
d.25 feet

186.Solve the following equation for y:
4– 3 ^2 x– 1 = ^12 – y
a.y= 1– 3 ^4 x
b.y= 1+ 3 ^4 x
c.y= ^4 x 3 –1
d.y = – 1+ 3 ^4 x

187.The average of five consecutive odd integers is
–21. What is the least of these integers?
a.–17
b.–19
c.–21
d.–23
e.–25

188.If –6b+ 2a– 25 = 5 and ab+ 6 = 4, what is the

value ofab

2

?

a.^14 

b. 1

c. 4

d.–4

189.If three more than one-fourth of a number is
three less than the number, what is the value of
the number?
a.^34 
b. 4
c. 6
d. 8
e. 12

190.Solve the following equation for x:

^52 x––x^2 = y

a.x= ^25 – +^2 yy

b.x= ^25 +–^2 yy

c.x= ^25 ++^2 yy

d.x= – ^25 ++^2 yy

191.A grain elevator operator wants to mix two

batches of corn with a resultant mix of 54

pounds per bushel. If he uses 20 bushels of

56 pounds per bushel corn, which of the

following expressions gives the amount of

50 pounds per bushel corn needed?

a. 56 x+ 50x= 2x 54

b. 20 56 + 50x= (x+ 20)  54

c. 20 56 + 50x= 2x+54

d. 56 x+ 50x= (x+ 20)  54

192.What value ofxsatisfies the equation

–5[x– (3 – 4x– 5) – 5x] – 2^2 = 4[2 –(x–3)]?

a.11.5

b.10.5

c.9.5

d.8.5

Set 13 (Answers begin on page 169)

Solving basic linear inequalities is the focus of this

problem set.

193.What is the solution set for 3x+ 211?

a.{x:x3}

b.{x:x–3}

c.{x:x3}

d.{x:x–3}

• LINEAR EQUATIONS AND INEQUALITIES–