Vocab
What is an expression? Write an example.
A math sentence made up of numbers, operation symbols, and sometimes variables.
Translate the following equation into words:
3 + x = 12
3 plus x is the same as 12
Is x = 4 a solution to the equation 3x + 2 = 1 ?
No, x = 4 is not a solution
Combine Like Terms: 2x + 4x - 12
6x - 12
Distribute: 2(3x + 1)
6x + 2
What is an algebraic equation? Give an example.
Translate the following equation into words:
4z - 9 = 16
4 times z minus 9 is the same as 16
Is x = -1 a solution to the equation 5x - 6 = 3x - 8
Yes, x = -1 is a solution
Combine Like Terms: - y + 2 - 14 + 3y
-12 - 2y
Distribute: -2(3x - 3)
-6x + 6
What is the "coefficient" of a term?
The number
Translate the following equation into words:
0.5x = 4
0.5 times x is the same as 4
or
one half of x is the same as 4
Is x = 4 a solution to the equation x2 - x - 6 = 0
No, x = 4 is not a solution.
Combine Like Terms: 2k - 4h + 3 + 2h - 2
2k - 2h + 1
Distribute: - (5y + 3z - 2)
A letter that represents an unknown number.
Translate the following equation into words:
3x + 2 = 6x - 8
Is x = 2 a solution to the equation x4 - 5x2 + 4 = 0
Yes, x = 2 is a solution.
Combine Like Terms: 3.5x + 13 + 1.5 - x - 2.2
2.5x + 12.3
Distribute: (9 - 14x + y)7
63 - 98x + 7y
What is a "solution" to an equation?
A number, that when substituted into an equation for the variable, makes the equation into a true statement.
Translate the following equation into words:
x2 + 4x - 16 = 0
x squared plus 4 times x minus 16 is the same as zero
Is x = (-1/3) a solution to the equation
15 + 4x = 16 + 7x ?
Yes, x = (-1/3) is a solution.
Combine Like Terms:
-2.5 + 7x + 4.5k - 2y - x + y + 14
6x + 4.5k - y + 11.5
Distribute: 2(0.5x + 1) - 3(7y - 2)
1x + 2 - 21y + 6