SLO Review (JEM 2026)

Law of Exponents

100

(2x^-3y⁵)² (x⁴y^-1) / 4xy²

y⁷/x³

200

(3p^-1q²)³ / (p²q^-4)²

27q¹⁴/p⁷

300

(-2x³y^-2)² / 4x^4y

x²/y⁵

400

(-3a⁴b^-2)³ / 9a⁶b³

-3a⁶/b⁹

500

(-5m²n^-3)^-2 (m³n) / 25

n⁷/625m

Factoring

100

6x²−7x−56

(2x+1)(3x−5)

200

12x²−17x+6

(3x - 2)(4x - 3)

300

10x²−11x−6

(5x+2)(2x−3)

400

15x²+2x−8

(3x−2)(5x+4)

500

2x²−18x+40

2(x−5)(x−4)

Graphing Inequalities

100

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

200

Graph 3x − y ≤ 7

−y ≤ 7−3x

⇒ y ≥ 3x−7 (flip sign).

Boundary: solid y=3x−7;

shade above.

300

Graph 4x + 2y < 8

2y < −4x+8

⇒ y < -2x+4

Boundary: dashed

y=−2x+4; shade below.

400

Graph 2y−3 > x+5

2y > x+8

⇒y>1/2x+4

Boundary: dashed

y=1/2x+4, shade above.

500

Graph y + 2 ≥ −2x − 1

y≥−2x−3

Boundary: solid y=−2x−3; shade above.