CHAPTER
Equations and Inequalities8Lesson 8.1 Solving Algebraic Equations
Solve each equation using the substitution method.
1. x 1 8 5 14 2. y 1 6 5 20
x 5 y 5
3. p 2 9 5 7 4. k 2 15 5 20
p 5 k 5
5. 6w 5 72 6. 15q 5 60
w 5 q 5
7. 18
e 5 7 8. 110 g 5 12
e 5 g 5
Solve each equation using the concept of balancing.
9. a 1 14 5 20 10. b 1 18 5 34
a 5 b 5
11. 18 5 s 2 12 12. h 2 15 5 9
s 5 h 5
13. 7k 5 84 14. m6
5 16
k 5 m 5
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Priv
ate
Lim
ited.
Extra Practice Course 1B 1
Name: Date:
MIF_EP6B_Ch08_1-15.indd 1 5/13/11 11:09 AM
Solve each equation using the concept of balancing. Write all fractional answers in its simplest form.
15. x 1 16
5 56
16. y 2 25
5 35
x 5 y 5
17. 8k 5 49
18. 10g 5 46
k 5 g 5
19. 35
p 5 310
20. 23
w 5 56
p 5 w 5
21. x 1 1.8 5 3.4 22. p 1 6.3 5 9.1
x 5 p 5
23. y 2 3.5 5 2.9 24. k 2 8.5 5 2.7
y 5 k 5
Name: Date:
© M
arsh
all C
aven
dish
Inte
rnat
iona
l (Si
ngap
ore)
Priv
ate
Lim
ited.
2 Chapter 8 Lesson 8.1
MIF_EP6B_Ch08_1-15.indd 2 5/13/11 11:09 AM
25. 3x 1 2.5 5 6.1 26. 4y 2 6.2 5 13
x 5 y 5
27. 3.2k 5 40 28. 2.4p 5 36
k 5 p 5
29. w 1 23
5 2 56
30. d 2 25
5 1 310
w 5 d 5
31. 3y4
5 15 32. 37
k 5 6
y 5 k 5
Solve.
33. Find three whole numbers, such that when inserted into the equation below, the value of x 5 6.
ax 1 b 5 c
Name: Date: ©
Mar
shal
l Cav
endi
sh In
tern
atio
nal (
Sing
apor
e) P
rivat
e Li
mite
d.
Extra Practice Course 1B 3
MIF_EP6B_Ch08_1-15.indd 3 5/13/11 11:09 AM
