My Answer:
Turn to Page 3 for Stations 13 – 15, Loop Check, and Self-Assessment Page 2 of 3
Concepts Algebra 1 • Midsemester Review
Stations 13 – 15
13. Station Letter: [ ]
Top Banner #: [ ]
Show algebraic steps / work:
My Answer:
14. Station Letter: [ ]
Top Banner #: [ ]
Show algebraic steps / work:
My Answer:
15. Final Station: [ ]
Top Banner #: [ ]
Show algebraic steps / work:
Final Answer:
Loop Completion Check
Does your calculated answer from Station 15 match the top banner number of your Start Station?
YES! Full 15-station loop closed Need to check work (loop didn't close)
Teacher Stamp / Signature: ___________________
Midterm Self-Assessment • How confident do you feel about each topic? Rate: 1 (Need Help) • 2 (Getting There) • 3 (Mastered)
Solving Equations
1 • 2 • 3
Sequences (Arith/Geom)
1 • 2 • 3
Expressions & PEMDAS
1 • 2 • 3
Inequalities & Percents
1 • 2 • 3
Scratch Work, Notes, or Error Corrections:
Concepts Algebra 1 Midterm Quest • Keep this complete 3-page packet as your exam study guide! Page 3 of 3
| M | \(x=5\text{ and }x=-9\) | Two Sets Like Terms: \(-14x + 5y - 3x + 2y\) | -17x + 7y | → N |
| N | -17x + 7y | Inequality: \(10 - 2x < -40\) (boundary number) | 25 | → O |
| O | 25 | Percent / Tip: $24 tip on $120 bill | 20 | → A |
• Common 9th Grade Stumbling Blocks
• Differentiation Strategies
Turn over for fully worked algebraic solutions for Stations A – O Page 1 of 2
Teacher Resource • Step-by-Step Solutions
All 15 Stations Solved
Station A: Two-Step Equation Answer: -8
\(4x + 9 = -23 \implies 4x = -32 \implies x = -8\)
Pitfall: Subtracting incorrectly (\(-23 - 9 \ne -14\), it is \(-32\)).
Station B: Evaluating Expressions Answer: 1
\(\frac{24}{3} - 7 = 8 - 7 = 1\)
Pitfall: Subtracting before dividing (\(3 - 7 = -4\)).
Station C: Explicit Sequence Formula Answer: 38
\(a_8 = 5(8) - 2 = 40 - 2 = 38\)
Pitfall: Doing \(5(8-2) = 30\) instead of multiplying first.
Station D: Variables on Both Sides Answer: 3
\(9 - 2x = 5x - 12 \implies 9 = 7x - 12 \implies 21 = 7x \implies x = 3\)
Pitfall: Subtracting \(2x\) instead of adding it (\(5x - 2x = 3x\)).
Station E: Fraction Bar PEMDAS Answer: 18
\(\frac{30 + 3 \cdot 2}{2} = \frac{30 + 6}{2} = \frac{36}{2} = 18\)
Pitfall: Adding before multiplying in numerator (\(\frac{33 \cdot 2}{2} = 33\)).
Station F: Linear Word Problem Answer: 11
\(14g + 50 = 204 \implies 14g = 154 \implies g = 11\text{ guests}\)
Pitfall: Adding 50 to 204 instead of subtracting the flat fee.
Station G: Absolute Value Operations Answer: 6
\(|15 - 28 + 7| = |-13 + 7| = |-6| = 6\)
Pitfall: Forgetting absolute value makes the final distance positive (+6).
Station H: Distributive Property Answer: -3
\(-2(3x - 5) = 28 \implies -6x + 10 = 28 \implies -6x = 18 \implies x = -3\)
Pitfall: Distributing negative: writing \(-10\) instead of \(+10\).
Station I: Geometric Sequence Answer: 81
\(r = \frac{9}{3} = 3\). Next term \(= 27 \times 3 = 81\)
Pitfall: Treating as arithmetic sequence and adding (\(27 + 6\)).
Station J: Solving Proportions Answer: 14
\(2(15) = 3(x - 4) \implies 30 = 3x - 12 \implies 42 = 3x \implies x = 14\)
Pitfall: Forgetting to distribute 3 to both terms: writing \(3x - 4\).
Station K: Common Difference Answer: -5
\(d = 24 - 29 = -5\)
Pitfall: Writing \(+5\) instead of \(-5\) (sequence is decreasing).
Station L: Absolute Value (MC) Choice A
\(x + 2 = 7 \implies x = 5\); \(x + 2 = -7 \implies x = -9\)
Choice A: \(x = 5 \text{ and } x = -9\). Pitfall: selecting only one root.
Station M: Two Sets Like Terms -17x + 7y
\((-14x - 3x) + (5y + 2y) = -17x + 7y\)
Pitfall: Combining \(x\) and \(y\) together into \(-10xy\).
Station N: Multi-Step Inequality Answer: 25
\(10 - 2x < -40 \implies -2x < -50 \implies x > 25\)
Pitfall: Forgetting sign flip or calculating \(-50 \div (-2) = -25\).
Station O: Percent / Tip Proportion Answer: 20
\(\frac{24}{120} = \frac{1}{5} = 0.20 = 20\%\) (Loops to Station A!)
Pitfall: Dividing \(120 \div 24 = 5\) instead of part divided by whole.
Concepts Algebra 1 • Midterm Quest Teacher Answer Key • Complete 15-Station Loop Page 2 of 2
