Category 1: Linear Equations
What is the slope of the line: y = 2x + 5?
Factor: x² + 5x + 6
(x + 2)(x + 3)
Simplify: 2³
8
Is y = 3x + 2 a function
yes
Simplify: 3(x + 2)
(3x + 6)
Solve: 3x - 7 = 11
X=6
Factor: x² - 9
(x - 3)(x + 3)
What is x⁰
1
What is the domain of y = x²
All real numbers
Evaluate: 2x + 1 when x = 4
9
Write the equation of a line with slope 4 and y-intercept -2
y=4x-2
Factor: x² - 2x - 15
(x - 5)(x + 3)
Simplify: x³ · x²
x⁵
Identify the slope in y = -4x + 7
-4
Is the equation x + y = 7 linear
Yes
Solve for x: 2(x + 3) = x - 5
x=-11
Factor completely: 2x² + 6x
2x(x + 3)
Simplify: (2x²)³
8x⁶
What is the vertex of y = (x - 2)²
(2, 0)
Solve: 5x + 3 = 2x + 12
X=3
Graph the equation y = -3x + 6. What is the y-intercept?
6
Factor: 3x² + 11x + 6
(3x + 2)(x + 3)
Simplify: x⁵ ÷ x²
x³
A graph passes the vertical line test. What does this mean?
It’s a function
solve the system:x + y = 6x - y = 2
(x = 4), (y = 2)