Transcript Objective - To combine like terms to simplify expressions

Objective - To combine like terms to
simplify expressions.
Like terms - variable terms that differ only in
their coefficients.
Unlike Terms
Like Terms
7x
-3y
7x
-3x
5y
-y
5y
y
10xy
2yx
2a
3ab
2
2
6 ba
2
p
a b
2
5 x y
2
3
4p
2
4p
2
7 xy
p
2
2
Simplify by combining like terms.
1) 7x - 4y + 2x - y
9x - 5y
2) 3m + 10n - 4m + 1
-m + 10n + 1
3) 7x + 3y
7x + 3y
4) 6x - (5x) + 2x + (-3)
3x - 3
5) 4k - (2j) - 6k - j
-2k - 3j
6) 10 - 4x + 3y - 17x
-21x + 3y + 10
7) 6r - 2.3s - -9r - 3.5s
15r - 5.8s
8) 4
1
2
p  6q  2
1
3
pq
1
2 p - 5q
6
9) 16 - 14m - - m - 27
-13m - 11
10) 8e + 3f + (-5e) - -5f
3e + 8f
Simplify the following.
1) 10 - 4(x - 5) - 8
4) 5x - 4(7x - 9) - 11
5x - 28x + 36 - 11
10 - 4x + 20 - 8
- 23x + 25
- 4x + 22
2) 6 - 2(5 - x) - (3x + 7)
6 - 10 + 2x - 3x - 7
- x - 11
3) 4x - 5[2(6x - 3) - 7]
4x - 5[12x - 6 - 7]
4x - 5[12x - 13]
4x - 60x + 65
-56x + 65
5) 10 + 3(x - 5) - (2x - 9)
10 + 3x - 15 - 2x + 9
x+4
6) -4[-(x + 5) - 3(x - 6)]
-4[-x + -5 - 3x + 18]
-4[-4x + 13]
16x - 52
Irrational Terms
Irrational numbers can’t be combined with
rational numbers.
Like terms
Unlike terms
3
-
2 r
4 r
4 r
- 2 r
4
6 r
6 3
- 10 3
5
2 7
7 9
4
5 7
6
2
Simplify by combining like terms.
1)
6  2   
6) 3a 2 b  4 ab  ab 2  a 2 b
4 a b  4 ab  ab
2
5
2)  1 6
52 56 5
7) 8
10 6  4 5
20 5
3)
8 x y  2 xy  3 x y
2
2
2
5 x y  2 xy
2
4)
 36 33 5
5 33 5
5)
8 r  2 r
2
8 r  2 r
2
63 52 6
2
8) 3
54 9
3 5  12
9) 8     2  r
7   2 r
10) 5 x  3 y
5x  3y
2
5