Download Solving Two-Step Equations

COURSE 2 LESSON 2-6
Solving Two-Step Equations
(For help, go to Lesson 2-4.)
Solve each equation.
1. 4b = 24
2. –4d = 20
3. –3c = –27
4. k = –16
5. 8p = 48
6. h = –3
4
t
7. –3 = 8
x
8. –5 = –7
2-6
6
y
9.
= –10
–6
COURSE 2 LESSON 2-6
Solving Two-Step Equations
Solutions
1.
4b = 24
2.
4b 24
= 4
4
–4d = 20
d = –5
6.
8.
4( k ) = 4(–16); k = –64
c=9
5.
4
6( h ) = 6(–3); h = –18
6
x
–5( –5 ) = –5(–7); x = 35
7.
9.
2-6
–3c = –27
–3c –27
–3 = –3
–4d
20
=
–4
–4
b=6
4.
3.
8p
48
=
;p=6
8
8
t
–3(
) = –3(8); t = –24
–3
y
–6(
) = –6(–10); y = 60
–6
COURSE 2 LESSON 2-6
Solving Two-Step Equations
Solve 6r + 19 = 43.
6r + 19 = 43
6r + 19 – 19 = 43 – 19
To undo addition, subtract 19 from
each side.
6r = 24
Simplify.
6r
24
=
6
6
To undo multiplication, divide each
side by 6.
Simplify.
r = 4
Check 6r + 19 = 43
6(4) + 19
43
24 + 19
43
43 = 43
Check your solution with the original
equation.
Substitute 4 for r.
Multiply.
The solution checks.
2-6
COURSE 2 LESSON 2-6
Solving Two-Step Equations
Solve a – 4 = 10.
5
a
5
– 4 = 10
a – 4 + 4 = 10 + 4
5
a
5
5 a
5
First undo subtraction.
= 14
Simplify.
= 5(14)
Then undo division.
a = 70
2-6
COURSE 2 LESSON 2-6
Solving Two-Step Equations
Solve each equation.
1. 9r + 7 = 79
r=8
2. s – 6 = 14
4
s = 80
3. 3t – 4 = 44
4. v + 6 = –1
t = 16
v = –35
5
2-6