Glencoe Algebra 1

1
Glencoe Algebra 1

• Sections 2.4 and 2.5

2
1.

• 4(n 5) 20

Distribute.
4n
20
20
Isolate n.
20
20 20
Cancel 20.
4n 40
4
Cancel 4.
4 4
n 10
3
2.

• 11 3(4 2x) 5

Distribute.
12
11
6x
Like terms.
5
11 17 6x
17
Isolate x.
- 17 - 17
Cancel 17.
Cancel -6.
-6 -6x
-6
-6 -6
1 x
x 1
4
3.

• 2(3k 4) 3(k 2) -20

8
6k
3k
6
-20
2
9k
2
Like terms.
-20

2
2
Cancel - 2.
9k -18
9
Cancel 9.
9 9
k -2
5
4.

• 7(h 5) 5(2h 6) 20

5
7(h 5)
(2h 6) 20
5
10h
35
7h
30
20
65
-3h
65
Like terms.
20


65 65
Cancel 65.
-3h -45
-3
Cancel -3.
-3 -3
h 15
6
5.

• 8n (n 7) 42

8n
-1
(n 7) 42
1n
8n
7
42
7
7n
7
Like terms.
42


7 7
Cancel 7.
7n 35
7
Cancel 7.
7 7
n 5
7
6.

• 3y 16 5y

Isolate the 16.
5y
5y 5y
Cancel -5y.
8y 16
8
Cancel 8.
8 8
y 2
8
7.

• 9x 4x 30

Isolate the -30.
30
4x 4x
Cancel 4x.
5x -30
5
Cancel 5.
5 5
x -6
9
8.

• 4x 6 x 18

x
Move a variable.
1x x
Cancel x.
3x 6 18
Cancel - 6.
6
6 6
3x -12
3
Cancel 3.
3 3
x - 4
10
9.

• 9n 20n 77

Isolate the -77.
77
20n 20n
Cancel 20n.
-11n -77
-11
Cancel -11.
-11 -11
n 7
11
10.

• 2x 8(4 x) 2 x

32
2x
8x
2 x
32
-6x
2 x
x
Like terms.
1 x x
Move -x.
-5x 32 2
32
Cancel 32.
32 32
-5x -30
-5
Cancel -5.
-5 -5
x 6
12
11.

• 4

Mult by LCD.
2
15 ? 4
15 ? 2
5x 60 3x 30
3 x
Cancel 3x.
- 3x - 3x
2x 60 30
Cancel -60.
60
60 60
2x 90
2
Cancel 2.
2 2
x 45
13
12.

• 1

Mult by LCD.
2
8 ? 1
8 ? 2
2x 8 1x 16
1x
Cancel 1x.
- 1x - 1x
Cancel 8.
x 8 -16
8
8 8
x -24