LEARNER JOURNEY LABSSolve linear equations that require distributing and reversing more than one operation.
Standalone concept packageNo prior equation-solving skill is assumed. Arithmetic operations, variables, equality, and every new algebra decision are explained on this page.
Solve linear equations that require distributing and reversing more than one operation.
Construct the reasoning path, solve at least 4 of 5 mastery problems, and revise an unfamiliar explanation.
The distributive property multiplies every term inside parentheses by the outside factor. After simplification, inverse operations isolate the variable.
Distribution exposes the actual linear terms so equality-preserving steps can be applied accurately.
Move from left to right. Each decision prepares the next one; on a phone, follow the numbered cards from top to bottom.
Solve 4(x − 2) + 1 = 13.
The reasoning path changes as each decision is selected.
Every example identifies the goal, explains the next move, carries out the algebra, and checks or interprets the result.
Predict first. Then use the visual relationship and reasoned feedback to check two decisions.
1. Solve 2(x + (3)) = 14.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
2. Solve 3(x + (-2)) = 9.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
A prompt supplies part of the reasoning. Predict the missing mathematical move before choices appear.
1. Solve -2(x + (4)) = -2.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
Solve all six. Use the specific feedback to revise a method or sign error.
1. Solve 4(x + (1)) = -4.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
2. Solve 5(x + (-3)) = 15.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
3. Solve -3(x + (-1)) = -3.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
4. Solve 6(x + (2)) = -12.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
5. Solve 2(x + (-5)) = 4.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
6. Solve -4(x + (3)) = -4.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
Attempt all five. At least four correct answers are required for mastery.
1. Solve 3(x + (4)) = -3.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
2. Solve 7(x + (-1)) = 14.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
3. Solve -5(x + (2)) = -30.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
4. Solve 4(x + (-4)) = -12.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
5. Solve -2(x + (6)) = -22.
Your prediction is locked so the record preserves what you thought before recognition choices appeared.
Solve 2(3x − 4) + 5 = 21 and explain every equality-preserving step.
Judge the locked first attempt against every criterion. Each judgment gives revision guidance.
Distribute: 6x − 8 + 5 = 21. Combine: 6x − 3 = 21. Add 3: 6x = 24. Divide by 6: x = 4. Check: 2(12 − 4) + 5 = 21.
The record reveals exact answers and model reasoning only after the corresponding attempt or self-check has occurred.