Step By Step Algebra

Exit Ticket Key

Q1: A (\(12x + 18\))

Q2: A (\(10x + 10\))

Q3: Forgot 3×4; Answer is \(5x + 12\)

Homework Assignment Solutions

1. \(2(3x+5) = 6x + 10\)

2. \(4(x+6) = 4x + 24\)

3. \(5x+7+2x+1 = 7x + 8\)

4. \(9x+4-3x+5 = 6x + 9\)

5. \(3(x+4)+2x = 5x + 12\)

6. \(2(4x+3)+5 = 8x + 11\)

7. Multiple Choice: A (\(11x + 4\))

Lesson 7 Teacher Guide & Key Complete Page 2 of 2

Step 1: Subtract 7 4x = 31 − 7  →  4x = 24

Step 2: Divide by 4 x = 24 ÷ 4  →  x = _____

Problem 7: Word Problem Application

Juwan bought 4 pizzas. He used a $4 coupon off his whole order. His total was $48. Equation: 4p − 4 = 48

Step 1: Add 4 4p = 48 + 4 = $52

Step 2: Divide by 4 p = 52 ÷ 4 = $_____ / pizza

IEP Goal Alignment: 2.OA.A / 3.OA.A (Word problems with 2 steps) Page 3 of 4

Lesson 8 • Formative Assessment

Exit Ticket & Error Analysis

Last 15 Minutes

1. Solve the two-step equation: 10 + 2x = 20

A x = 5

B x = 10

C x = 15

D x = 2

2. Which first step correctly solves 3x − 10 = 9?

A Add 10 to both sides: 3x = 19

B Divide by 3 first

C Subtract 10 from both sides

D Subtract 3 from both sides

3. Error Detective: Find the Mistake!

A student solved 2x + 4 = 14 by dividing by 2 first: x + 4 = 7 → x = 3.

What is the easier rule to remember?

✔ Undo addition and subtraction (+4) FIRST before dividing!

Correct Solution: 2x = 10  ➔  x = _____

How do you feel about two-step equations? 😄 Confident 🤔 Getting there

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Q2: A (Add 10: \(3x=19\))

Q3: \(2x=10 \rightarrow x=5\)

Homework Assignment Solutions

1. \(2x+5=15 \rightarrow 2x=10 \rightarrow x=5\)

2. \(3x-4=14 \rightarrow 3x=18 \rightarrow x=6\)

3. \(4x+8=24 \rightarrow 4x=16 \rightarrow x=4\)

4. \(5x-10=20 \rightarrow 5x=30 \rightarrow x=6\)

5. \(3g+5=20 \rightarrow 3g=15 \rightarrow g=5\) games

6. Multiple Choice: A (\(x=0\))

Lesson 8 Teacher Guide & Key Complete Page 2 of 2

Problem 6: Solve 3(x + 2) + 2x = 21

1. Distribute 3x + 6 + 2x = 21

2. Combine 5x + 6 = 21

3. Solve 5x = 15  →  x = _____

Problem 7: Solve 2(x − 1) + 3x = 8

1. Distribute 2x − 2 + 3x = 8

2. Combine 5x − 2 = 8

3. Solve 5x = 10  →  x = _____

IEP Goal Alignment: 2.OA.C / 3.OA.C (Combining groups & solving) Page 3 of 4

Lesson 9 • Formative Assessment

Exit Ticket & Reflection

Last 15 Minutes

1. What is the value of \(x\) in the equation: 2(x − 1) + 3x = 3?

A x = 1

B x = 2

C x = 3

D x = 4

2. Which equation is equivalent to 7x + 4 − 3 + 8x = 15?

A 15x + 1 = 15

B 15x − 1 = 15

C 15x + 7 = 15

D 1x + 1 = 15

3. Error Detective: Multi-Step Mastery Check

When Jason solved 4(x + 1) + 3 = 19, he wrote 4x + 1 + 3 = 19.

What did Jason do incorrectly?

✔ He forgot to distribute the 4 to the +1 inside parentheses (4 · 1 = 4).

Correct Step: 4x + 4 + 3 = 19  ➔  4x + 7 = 19  ➔  x = _____

Multi-Step Equations Self Rating: 🌟 Mastered! 👍 Almost there

Page 4 of 4

Exit Ticket Key

Q1: A (\(x=1\))

Q2: A (\(15x+1=15\))

Q3: \(4x+7=19 \rightarrow x=3\)

Homework Assignment Solutions

1. \(3x+4+2x=19 \rightarrow 5x+4=19 \rightarrow x=3\)

2. \(2(3x+1)=20 \rightarrow 6x+2=20 \rightarrow x=3\)

3. \(5x-8+x=16 \rightarrow 6x-8=16 \rightarrow x=4\)

4. \(4(x+2)=24 \rightarrow 4x+8=24 \rightarrow x=4\)

5. \(2(x+3)+4x=24 \rightarrow 6x+6=24 \rightarrow x=3\)

6. \(10x-2(x+5)=22 \rightarrow 8x-10=22 \rightarrow x=4\)

7. Multiple Choice: A (\(5x-15=10\))

Lesson 9 Teacher Guide & Key Complete Page 2 of 2