Definitions
What is a variable?
An unknown quantity in an expression or equation. It is usually represented by a letter
What is the opposite operation of adding?
Subtracting
Simplify this expression: 3x + 5x - 2x
6x
Solve this equation: x/3 + 1 = 6
x = 15
Solve this equation: x - 2 = 10
x = 12
What are "like terms"
What is the opposite operation of multiplication?
Division
Simplify this expression: 3y - 6x + x - 2y - 8 + 1
y - 5x - 7
Solve this equation: 3(x/6 + 2) = 7
x = 10
Solve this equation:
2(x/3 + 2) = 8
x = 6
What is the difference between an expression and equation?
An expression does not have an answer and has no equal sign. An equation has an answer and has an equal sign.
In this equation what should you do first?
2x + 3x - 1 = 14
Add like terms
5x - 1 = 14
Simplify this expression:
4x - x + 2y - z + 4y - 7x + 3y + 2y
-4x + 11y - z
Solve this equation: 4x -5(x - 2) + 12 = 23
x = -1
Solve this equation: 3(4y - 6) + 6(y - 2) = 24
y = 3
Which part of this equation is the constant?
5x - 2x + 7 = 13
In this expression: x + 3(x - 2) what should you do first?
Multiply the 3 accross the brackets (distributive property)
x + 3x - 6
Simplify this expression:
-2x - 6y + x + 7x - 8 + 8y - 11 + 20
8x + 2y + 1
Solve this equation: -(y - 5) + 3(y + 4) - 10 = 63
x = 28
Solve this equation: 8(2x + 3) - 3(x - 4) = 62
x = 2
Which part of this expression is the coefficient?
3x - 2
The 3
What is the opposite operation of exponents (squaring)? Eg: x2
Square root (Eg: √x)
Simplify this expression: -3(x - 4) - 7y + 5x - 6y - 9
2x - 13y + 3
Solve this equation: 4(x - 5) + 11 + 3(-x - 1) = 26
x = 38
Solve this equation: 3(x/2 + 4) - 2(x - 3) = 15
x = 6