UW PLACEMENT MATH WITH COMPLETE SOLUTIONS 100% 2023/2024
Factoring and Simplifying Algebraic Expressions
x²+4x+3
(x+3)(x+1)
3y²+12y
3y(y+4)
4x²-9
(2x+3)(2x-3)
Rules Using Positive Integer Exponents and Solving Linear and Literal Equations
(4²)(4³) = 4⁵ must have same base
(4²)³ = 4⁶
Geometry - Introductory One-Dimensional Problems
Geometry - Solids and More Complex One-Dimensional Problems
Graphs and Systems of Linear Equations
Simplifying Expressions - Operations on Polynomials
adding - group like terms
subtracting - like terms but subtraction sign to all
multiplying - FOIL
dividing -
Simplifying Expressions - Rational Expressions
Simplifying Expressions - Negative Exponents
(-5)³ = -125
Factoring Quadratics
x² + 7x + 6
(x + 1)(x + 6)
4x² - 19x + 12
(x - 4)(4x - 3)
Quadratic/Rational Equations
Right Triangle Relationships
a²+ b² = hypotenuse²
30/60/90
short leg = x
Factoring and Simplifying Algebraic Expressions
x²+4x+3
(x+3)(x+1)
3y²+12y
3y(y+4)
4x²-9
(2x+3)(2x-3)
Rules Using Positive Integer Exponents and Solving Linear and Literal Equations
(4²)(4³) = 4⁵ must have same base
(4²)³ = 4⁶
Geometry - Introductory One-Dimensional Problems
Geometry - Solids and More Complex One-Dimensional Problems
Graphs and Systems of Linear Equations
Simplifying Expressions - Operations on Polynomials
adding - group like terms
subtracting - like terms but subtraction sign to all
multiplying - FOIL
dividing -
Simplifying Expressions - Rational Expressions
Simplifying Expressions - Negative Exponents
(-5)³ = -125
Factoring Quadratics
x² + 7x + 6
(x + 1)(x + 6)
4x² - 19x + 12
(x - 4)(4x - 3)
Quadratic/Rational Equations
Right Triangle Relationships
a²+ b² = hypotenuse²
30/60/90
short leg = x
