Chapter 3: Graphing Linear Functions
Chapter 4: Writing Linear Functions
Chapter 5: Solving Systems of Linear Equations
Chapter 6: Exponential Functions and Sequences
Chapter 7: Polynomial Equations and Factoring
100
Function Notation:
Solve for r(x): r(x) = -5x - 1;
r(x) = -21
What is x = 4?
100
Solving the Word Problem:
A handyman charged $650 per week to fix structures in 2009. The handyman increased his charge to fix structures at a constant rate and reached $1065 per week in 2017. Estimate what the handyman charged on a weekly basis in 2023.
What is ~$1376.25 in 2023?
100
Solving Systems of Linear Equations by Graphing:
2x + 3y = 5; y = 2x + 4
What is
(-7/8, 9/4)?
100
Properties of Exponents:
x9/x11
What is 1/x2?
100
Adding and Subtracting Polynomials:
(y2 + 5y - 9) + (3y2 + 4)
What is 4y2 + 5y - 5?
200
Graphing Linear Equations in Standard Form:
-15x - 3y = 45
What is y = -5x - 15?
200
Writing Equations in Slope-Intercept Form:
slope 6; y-intercept 9
What is y = 6x + 9?
200
Solving Systems of Linear Equations by Substitution:
y = -x + 5; 5x - 3y = -9
What is (3/4, 17/4)?
200
Radicals and Rational Exponents:
252/3
What is ~8.55?
200
Multiplying and Dividing Polynomials:
(-5y + 3)(3y + 2)
What is -15y2 - y + 6?
300
Absolute Value Function:
p(x) = |2x + 3|
What is x = -3/2?
300
Writing Equations in Point-Slope Form:
(3,-1) and (2,5)
What is
y + 1 = -6(x-3)?
300
Solving Systems of Linear Equations by Elimination:
3x + 4y = 9; -2x + 2y = -5
What is (19/7, 3/14)?
300
Solving Exponential Equations:
11x + 3 = 113x - 9
What is x = 6?
300
Special Products of Polynomials:
(-1 + 2c)3
What is
8c^3 - 12c^2 + 6c - 1?
400
Graphing Linear Equations in Slope-Intercept Form:
-4x + 2y = -12
What is y = 2x - 6?
400
Writing Equations of Parallel and Perpendicular Lines:
Write an equation of the line that passes through (-1, 4) and is perpendicular to y = -2x + 3.
What is y = 1/2x + 9/2?
400
Graphing Linear Equations in Two Variables:
3x - 9y >= 3
What is y <= 1/3x - 1/3?
400
Exponential Functions:
f(x) = 4x + 2 + 2
What is 18?
400
Factoring Polynomials:
6t3 - 18t2 - 36t = 0
What is
6t(t^2 - 3t - 6) = 0?
500
Solve the Linear Equation:
-2x + 3y = 9
What is y = 2/3x + 3
500
Writing Equations in Point-Slope Form:
Slope = 9; passes through (-3,3)
What is y - 3 = 9(x+3)?
500
Systems of Linear Inequalities:
x + 2y > 8 ; 3x - y >=15
What is y > -1/2x + 4, y <= 3x +15?
500
Exponential Growth or Decay:
p(x) = 3(0.9)x - 2
What is exponential decay?
500
Solving Polynomial Equations in Factored Form:
5r(r + 7)(2r - 1) = 0
What is r = 0, -7, 1/2?