Law of Exponents
Question #3
(2x^-3 y^5)^2 x^4 y^-1 / 4xy^2
y^7/x^3
Question #4
6x^2 − 7x − 56
(2x+1)(3x−5)
Question #1 (Daily QUADRUPLE, 4X POINTS)
Graph the inequality: y−2 ≥ −3x+4
Sample Answer Key:
Step 1: Solve for y:
y≥−3x+6
Step 2: Graph the line y = -3x + 6
Slope = -3, y-intercept = 6
Use a solid line because the inequality is ≥
Step 3: Shade the area above the line (since y is greater than or equal to).
✅ Graph components:
Solid line for boundary
Slope: down 3, right 1
Y-intercept at (0, 6)
Shade above the line
Question #5
(3p^-1 q^2)^3 / (p^2 q^-4)^2
27q^14/p^7
Question #1
12x^2−17x+6
(3x - 2)(4x - 3)
Question #3
Graph 3x − y ≤ 7
−y ≤ 7−3x
⇒ y ≥ 3x−7 (flip sign).
Boundary: solid y=3x−7; shade above.
Question #1 (Daily TRIPLE)
(-2x^3y^-2)^2 / 4x^4y
x^2/y^5
Question #5 (Daily Double)
10x^2 − 11x − 6
(5x+2)(2x−3)
Question #5
Graph 4x + 2y < 8
2y < −4x+8
⇒ y < -2x+4
Boundary: dashed y=−2x+4; shade below.
Question #2
(-3a^4 b^-2)^3 / 9a^6b^3
-3a^6/b^9
Question #3
15x^2 + 2x − 8
(3x−2)(5x+4)
Question #2
Graph 2y−3 > x+5
2y > x+8
⇒y>1/2x+4
Boundary: dashed y=1/2x+4, shade above.
Question #4
(-5m^2 n^-3)^-2 m^3 n / 25
n^7/625m
Question #2
2x^2−18x+40
2(x−5)(x−4)
Question #4
Graph y + 2 ≥ −2x − 1
y≥−2x−3
Boundary: solid y=−2x−3; shade above.