Ysabelle's Algebra Post

Algebra

Algebra- branch of mathematics that involves expressions with variables

variable- a symbol which represents any unknown number

constant- integer in an Algebraic expression expression or equation

equation- only has one answer, has an equal sign

expression- has pattern, many answers

Steps to solve:

1. Isolate the variable.
2. Cancel the constant using zero pairs.
3. Balance by doing the same operations on each side.
4. Verify to check.

One-Step Equations

5) m+4=-12

Solution:

m+4=-12
m=-12-4
m=-16

Verify:

m+4=-12
-16+4=-12
-12=-12

9) v-15=-27

Solution:

v-15=-27
v=-27+15
v=-12

Verify:

v-15=-27
-12-15=-27
-27=-27

19) 21=-7n

Solution:

21=-7n
21/-7=-7n/-7
-3=n

Verify:

21=-7n
21=-7(-3)
21=21


27) v/7=8

Solution:

v/7=8
v/7(7)=8(7)
v=56

Verify:

v/7=8
56/7=8
8=8



Two-Step Equations




9) 5x-1=9

Solution:

5x-1=9

5x=9+1

5x=10

5x/5=10/5

x=2

Verify:

5x-1=9

5(2)-1=9

10-1=9

9=9

21) 9+9n=9

Solution:

9+9n=9

9n=9-9

9n=0

9n/9=0/9

n=0

Verify:

9+9n=9

9+9(0)=9

9=9