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Practice Lab: Solve, Check And Find Your Way Out

Solve many kinds of equations, check every answer, and use your solutions to find a path through the book's equation maze.

6 micro-lessons

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A Solving Checklist

Five steps that work for every equation in this chapter.

Five steps (Textbook pp. 170–173)

Expand brackets, if that helps. Multiply every term inside.
Collect the unknown terms on one side.
Move the constant terms to the other side, changing their sign.
Divide or multiply to get the unknown alone.
Check: put the answer back into the original equation; LHS must equal RHS.

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Four Mixed Equations

Solving the book's trickier equations with every step shown.

Problem. Solve Q18 (e)–(h). (Textbook p. 188)

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How to Check Solutions

Substitute back: both sides must match.

Checking a solution

Replace the letter with your answer in the original equation.

Work out the LHS and the RHS separately, then compare.

If they differ, look for a sign slip, or a term you forgot to divide or multiply.

Fill the Blanks with Integers

Find the missing integers.

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5 × ___ − 8 = 37 (p. 185, Q1a)

The Equation Maze

The book's maze from p. 189, ready for the task below.

The maze (Textbook pp. 188–189, Q19). Start at the top-left cell. Solve its equation. Leave the cell along the link whose number equals your solution, and solve the next equation. Keep going until you reach END.

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Find Your Way Through the Maze

Solve each equation to find your path from Start to End.

Solve the maze

Use the maze above. Write each cell you visit, its equation, your solution, and which link you took. Stop when you reach END.

Your path: cell → solution → link taken*

Start: 8x = 20 + 3x → x = 4 → link 4

Pick one cell on your path and check your solution by substituting it back*

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