Download Practice C 1-6

Name
LESSON
Date
Class
Practice C
1-6 Combining Like Terms
Combine like terms.
1. 7x 3x 5x
2. 9a 4a 8a
3. 12g 10h 3g h
4. 5b 7 7b 6
5. 3p 6q p 3q
6. 11s 6s 9 3s
7. 9 3f 8f 6 3f
8. v 4y 2y 5y
9. 15k 8m 7k 2m
10. 2 6a 9b 3b a
11. 11j 8m 6n 3
12. 13x 9y 6x 8y 1
14. 6(3x 2) 4x
15. 3(2 x) 6x 4
17. 4(g 7) 64
18. 9a 6 3a 4 4a
Simplify.
13. 5(y 6) 4
Solve.
16. 3x 8 5x 48
19. Suppose the lengths of the four sides of a quadrilateral are
represented by the expressions 3a, a 2, 2a 1, and 3a 6.
Write the sum of the lengths (the perimeter), and then simplify.
20. Find the perimeter of the quadrilateral in Exercise 19 for
a 4 in.
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Holt Pre-Algebra
Holt Middle
School Math
Practice C
1-6 Combining Like Terms
Practice B
1-6 Combining Like Terms
LESSON
LESSON
Combine like terms.
Combine like terms.
1. 8a 5a
2. 12g 7g
3a
11a 6
19g
4. 6x 3y 5x
5. 10k 3k 5h
11x 3y
8. 5c 12d 6
11. x y 3x 7y
11f 4
15x
4x 8y
2p 3q
8s 9
9. 15k 8m 7k 2m
v 7y
10. 2 6a 9b 3b a
8k 10m
11. 11j 8m 6n 3
2 5a 6b
n7
6. 11s 6s 9 3s
8. v 4y 2y 5y
3 8f
8 10b
9g 11h
5a
7. 9 3f 8f 6 3f
12. 9n 13 8n 6
3. 12g 10h 3g h
5. 3p 6q p 3q
12b 1
17p 7q
9. 13 4b 6b 5
5c 12d 6
15k
10. 4f 6 7f 2
2. 9a 4a 8a
4. 5b 7 7b 6
6. 3p 7q 14p
7k 5h
7. 3k 7k 5k
1. 7x 3x 5x
3. 4a 7a 6
12. 13x 9y 6x 8y 1
11j 8m 6n 3
7x y 1
Simplify.
Simplify.
13. 4(x 3) 5
14. 6(7 x) 5x
4x 7
13. 5(y 6) 4
15. 3(5 3x) 4x
42 11x
14. 6(3x 2) 4x
5y 34
15 5x
15. 3(2 x) 6x 4
22x 12
2 9x
Solve.
Solve.
16. 6y 2y 16
17. 14b 9b 35
y2
16. 3x 8 5x 48
18. 3q 9q 48
b7
17. 4(g 7) 64
x5
q4
18. 9a 6 3a 4 4a
g9
a5
19. Suppose the lengths of the four sides of a quadrilateral are
represented by the expressions 3a, a 2, 2a 1, and 3a 6.
Write the sum of the lengths (the perimeter), and then simplify.
19. Gregg has q quarters and p pennies. His brother has 4 times
as many quarters and 8 times as many pennies as Gregg has.
Write the sum of the number of coins they have, and then
combine like terms.
3a a 2 2a 1 3a 6; 9a 7
q p 4q 8p; 5q 9p
20. Find the perimeter of the quadrilateral in Exercise 19 for
a 4 in.
20. If Gregg has 6 quarters and 15 pennies, how many total coins
do Gregg and his brother have?
43 in.
165 coins
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Reteach
1-6 Combining Like Terms
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Middle
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Challenge
1-6 Mission Operation
LESSON
LESSON
▲
5a 7b 3a 6a 2
The parts of an expression separated by
plus or minus signs are called terms.
Like terms have the same
variable raised to the same
power.
The expression shown has four terms.
You can combine two of these terms to
simplify the expression.
5a 7b 3a 6a 2
5a 3a 7b 6a 2
2a 7b 6a 2
Equivalent expressions have the same
value for all values of the variables.
You can create your own operation. Take a symbol, such as
,
and tell what that symbol means using the standard operations of
, , , and .
Example
If x
y x 2xy, find 5
▲
▲ 3.
▲ y x 2xy
5 ▲ 3 5 2(5)(3)
x
Some algebraic equations can be solved
by first combining like terms.
Solve 4w w 24.
5 30
Use the operation as defined.
Substitute 5 for x and 3 for y.
Carry out the standard operations.
35
4w w 24
▲
Apply the definition of
. First, show how to substitute the
values or expressions that replace x and y. Then, carry out the
standard operations to simplify completely.
Identify like terms; w is 1w.
3w 24
Combine coefficients of like terms.
3w
24
ᎏᎏ ᎏᎏ
3
3
Divide both sides by 3.
1. 7
w8
▲2
▲7
2. 2
7 2(7)(2)
2 2(2)(7)
Complete to combine like terms.
1. 9z 4z
4
(9 13
2. 9r 5q 2r
(9 )z
7
z
2
35
3. 5t 12f t 3f
)r 5q
(5 4
r 5q
1
)t (12 9
t
3
)f
6m 5n
5. 15r 4 3r 2
✲
6x 3z y
5. (9
7
8. 16w 5w 44
h 21
11 w 44
7h 21
ᎏᎏ
ᎏᎏ
7
7
11w
44
ᎏᎏ
ᎏᎏ
11
11
h
3
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All rights reserved.
w
57
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
4
48 b
✲ 4) (3 ✲ 8)
✲. Simplify the
6. (r
✲ 4t) (4r ✲ 2t)
共2r ᎏ42ᎏt 兲 2(4r) ᎏ22ᎏt
4
8
2(9) ᎏ2ᎏ 2(3) ᎏ2ᎏ
9. 48 13x x
▲ (4b)] [(2a) ▲ b]
a 2a(4b) 2a 2(2a)(b)
3a 12ab
b 2a ᎏ2ᎏ. Apply the definition of
Let a
resulting expression.
Complete to solve.
7. 5h 2h 21
4. [a
a 2ab b 2ba
a 4ab b
6. 6x 3z y
12r 2
30
▲ b) (b ▲ a)
f
Simplify.
4. 7m 3n m 2n
3. (a
10r 3t
30
12 x
12x
ᎏ48ᎏ ᎏᎏ
12
12
4
x
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