1001 Algebra Problems.PDF

• RATIONAL EXPRESSIONS–

523.Compute and simplify: (a–1+ b–1)–1

a.ba+ba

b.ba+ba

c.ab

d.a+ b

524.Compute and simplify:xx–– (^11) +–yy––^11
a. 0
b.yy–+xx
c.yy+–xx
d. 1
525.Compute and simplify:
 
2
x
x

• 
  


• 
  

  1

  
  

^3

– x

2

+2

a.(xx+^2 – 15 )(xx++^8 2)

b.(xx^2 ++1)^5 (xx++^8 2)

c.(xx+^2 – 1)^5 (xx–+^8 2)

d.–(xx+^2 – 15 )(xx++^8 2)

526.Compute and simplify:xx+–3^5 – xx^1 –3

a.(x+ 5)(x– 1)

b.(x– 5)(x+ 1)

c.–(x– 5)(x+ 1)

d.–(x+ 5)(x+ 1)

527.Compute and simplify: [3 + x+^1  3 ]

a. 3 xx++^310

b.^3 xx+–2^10

c.^3 xx++^130

d.xx+–2^3

528.Compute and simplify: 1 – ^2 x–  23 x–  61 x

a.x+x^2

b.x–x^2

c.3x 3 +x^2

d.3x 3 – x^2

Set 34 (Answers begin on page 207)

This problem set focuses on solving rational equations.

529.Solve:^3 x= 2 + x

a.–3 and 1

b.–3 only

c.1 only

d.There are no solutions.

530.Solve:^23 – ^3 x= ^12 

a. 178 

b.^178 

c.–18

d. 18

531.Solve:t^2 – t 7 + t–^1  1 = 2

a.–2

b. 2

c.^75 

d.^57 

532.Solve:xx++ 28 + = ^2 x

a.–4

b. 4

c.–4 and –2

d.4 and –2

533.Solve:x–x 3 + ^2 x= x–^3  3

a. 3

b.2 and 3

c.–2

d.–2 and 3

^12

x^2 +2x

x+ 3

x– 2

x^2 +4x–5

2 x^2 +x–3