Download Assignment-Solving equations-One, two and multistep

Name:_________________
_
Assignment-Solving equations
=
60
1. Solve each equation. (1 mark each)
a)
m-6=9
b)
n + 5 = 22
c)
r-3=-2
d)
u - 4 = - 12
e)
7p = - 35
f)
x
=5
3
g)
r
= -4
6
h)
- 6r = 72
2. Solve each equation. Show your work. (2 marks each)
a)
m
+3= 5
2
b)
c)
- 2m + 8 = 18
d)
e)
2k + 3 = 15
f)
5y - 1 = 14
- 3 = - 11
3c - 2 = 10
3. Solve each equation. Show your work. (3 marks each)
a)
- 6x - 20 = - 3x + 4
b)
6x - 10 = 8 - 3x
c)
4 - 2x = 6x + 20
d)
7 + 5x = - 3x + 31
e)
6x + 3x - 2 = 16
f)
2x + 5 = 7x – 10
g)
x+4+x-2=6
h)
2 - 3x = 6 - 5x
4. Solve each equation. Show your work (4 marks each)
a)
(2x - 5) - (x + 1) = 10
b)
3(x - 1) - 2(x + 1) = 5
c)
2(3x + 4) + 4(x - 3) = 6
d)
6(2x - 3) + 5 = 2x + 4
Answers
1. Solve each equation. (1 mark each)
a)
e)
m= 15
p=-5
b)
f)
n = 17
x=15
c)
g)
r=1
r=-24
d)
h)
2. Solve each equation. Show your work. (2 marks each)
a)
m
+3= 5
2
b)
=2
m =4
c)
5y - 1 = 14
5y=15
y=3
-2m=10
- 3 = - 11
m=-5
n=-16
- 2m + 8 = 18
d)
= −8
e)
2k + 3 = 15
f)
3c - 2 = 10
2k=12
3c=12
k=6
c=4
3. Solve each equation. Show your work. (3 marks each)
a) - 6x - 20 = - 3x + 4
b) 6x - 10 = 8 - 3x
-6x+3x=4+20
6x+3x=8+10
-3x=24
9x=18
x=-8
x=2
c)
4 - 2x = 6x + 20
-2x-6x=20-4
-8x=16
x=-2
d)
7 + 5x = - 3x + 31
5x+3x=31-7
8x=24
x=3
e)
6x + 3x - 2 = 16
9x-2=16
9x=18
x=2
f)
2x + 5 = 7x – 10
2x-7x=-10-5
-5x=-15
x=3
g)
x+4+x-2=6
2x+2=6
2x=4
x=2
h)
2 - 3x = 6 - 5x
-3x+5x=6-2
2x=4
x=2
4. Solve each equation. Show your work (4 marks each)
a)
(2x - 5) - (x + 1) = 10
b)
3(x - 1) - 2(x + 1) = 5
2x-5-x-1=10
3x-3-2x-2=5
x-6=10
x-5=5
x=16
x=10
c)
2(3x + 4) + 4(x - 3) = 6
d)
6(2x - 3) + 5 = 2x + 4
6x+8+4x-12=6
12x-18+5=2x+4
10x-4=6
12x-2x=4+18-5
10x=10
10x=17
x=1
x=1.7
u=-8
r=-12