1001 Algebra Problems.PDF

176.Negative four is multiplied by the quantity
x+ 8. If 6xis then added to this, the result is
2 x+ 32. What is the value ofx?
a.There can be no such number x.
b. 1
c. 0
d. 16

Set 12 (Answers begin on page 166)

In this problem set, we consider more advanced linear
equations and word problems that can be solved using
linear equations.

177.What value ofxsatisfies the equation

= x+ 5 ^8?

a.–8

b. 8

c.–88

d. 88

178.What value ofxsatisfies the equation
5 x– 2[x– 3(7 – x)] = 3 – 2(x– 8)?
a. 23
b.–23
c.^253 
d.– 523 

179.Assuming that a b, solve the following equa-
tion for x:ax+ b= cx+ d
a.da++bc
b.dc––ab
c.ba––dc
d.da––bc

180.The sum of four consecutive, odd whole num-

bers is 48. What is the value of the smallest

number?

a. 9

b. 11

c. 13

d. 15

e. 17

181.IfPV=nRT, which of the following represents

an equivalent equation solved for T?

a.T= PnVR

b.PVnR= T

c.PVnR= T

d.T= P^1 VnR

182.Solve the following equation for A:

B= CD+–AA

a.A= B 1 D+–BC

b.A= D1+–BC

c.A= CB–+CB

d.A= BC++DB

183.If 30% ofris equal to 75% ofs, what is 50% of

sifr= 30?

a.4.5

b. 6

c. 9

d. 12

e. 15

184.Iffg+ 2f– g= 2 –(f+ g), what is the value of

gin terms off?

a.–1

b.^1 f

c.^4 f

d.2 – 2f

e.^2 – f^3 f

^12 x– 4

 3

• LINEAR EQUATIONS AND INEQUALITIES–