Focused repair

Fix the exact stuff that jammed you up.

This is not another diagnostic. It is a short repair session for exponent rules, percent setup, function substitution, and factoring.

Target: 20-25 minutes. Use the graphing workbench only if you want a visual check at the end.

Quick Fix Warm-Up

Two setup fixes from Session 3: add exponents when multiplying same bases, and divide by the percent you actually paid.

1. Simplify: (3x^2)(2x^5) 2. A glove costs $72 after a 20% discount. What was the original price?

No hint used yet.

Function Substitution

Replace x first. Use parentheses around negative numbers. Then simplify.

3. If f(x) = x^2 - 3x + 4, find f(-2) 4. If g(x) = 2x^2 + 5, find g(3)

No hint used yet.

Factoring

For x^2 + bx + c, find two numbers that multiply to c and add to b.

5. Factor: x^2 + 7x + 12 6. Solve by factoring: x^2 - 5x + 6 = 0

No hint used yet.

Visual Check

Optional tool: open the Graphing Workbench if you want the grid.

7. Find the slope through (0, 3) and (2, 7) 8. Find the midpoint of A(-2, 5) and B(6, -1)

No hint used yet.

Exit Check

9. Which part felt most fixed: exponents, percent setup, functions, factoring, or graphing? 10. Which one still needs another rep?

Complete Session

Complete sends the answers, hint/check history, timing, and reflections to Bishop for the next coaching step. Blank answers are allowed after you confirm them.

Draft saves on this device until you complete it.