Vocabulary
The letter in an equation that represents an unknown value
Variable
Simplify by combining the like terms:
6x + 2x - 3x
5x
Solve for y.
2y + 1 = 5
y= 2
Solve for b.
4b - 4 + 7 = 7
b = 1
Solve for n.
5n - 2 = 8n - 14
n = 4
The term for a number in an equation that does not have a variable
Constant
Simplify by combining the like terms:
4x + 4 + 8x - 5
12x -1
Solve for x.
3x - 2 = 7
x= 3
Solve for x.
4(6 + 5x) = 124
x = 5
Solve for p.
-4(-8p + 1) = -4 - 8p
p = 0
Terms in an equation that have the same variable and exponent are called:
Like Terms
Simplify by combining the like terms:
10x - 5y + 9 - 5x + 8y - 12
5x + 3y - 3
Solve for j.
6j + 4 = 28
j= 4
Solve for a.
172 = 5(4a + 6) + 2
a = 7
Solve for g.
6(6g - 2) = 8g - 40
g = -1
When we solve equations, we use this to get the variable by itself
Inverse Operations
Simplify by combining the like terms:
2(x - 3) + 9x - 2
11x - 8
Solve for w.
w/4 + 1 = -8
w= -36
Solve for d.
-108 = -8(d + 6) - 4
d = 7
Solve for k.
-5(8k - 4) - k = - 16 - 5k
k = 1
What is the term for a number in front of a variable?
Coefficient
Simplify by combining the like terms:
3(x + 2) - (7x - 3) - 8x
-12x + 9
Solve for f.
-f/2 - 10 = 7
f = -34
Solve for k.
-42 - 51 = 7(-3k - 8) + 5
k = 2
Solve for h.
-3(2h + 4) = 2(-4h + 5)
h = 11