What is a Metaphor Solve the equation using quadratic equation ... - Free Printable

Let’s solve each quadratic equation using the quadratic formula:

> For any equation in the form:
> ax² + bx + c = 0,
> the solutions are:
> x = [-b ± √(b² - 4ac)] / (2a)

We’ll go one by one, check our work, and then match the correct solution sets to cross out boxes. The remaining letters will spell the answer at the bottom.

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Problem 1: x² + 4x + 3 = 0

a=1, b=4, c=3
Discriminant: b² - 4ac = 16 - 12 = 4 → √4 = 2
Solutions: (-4 ± 2)/2 → (-4+2)/2 = -1; (-4-2)/2 = -3
→ Solutions: {-1, -3} ✔ Matches student’s answer.

Look for box with {-1, -3} → That’s RIT → Cross it out? Wait — instructions say: “Cross out the box that contains the solution set.” Then print letters from *remaining* boxes.

So we need to find which boxes have the correct answers — those get crossed out. The leftover letters spell the metaphor.

But let’s finish all equations first.

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Problem 2: x² - 7x + 10 = 0

a=1, b=-7, c=10
Discriminant: 49 - 40 = 9 → √9 = 3
Solutions: (7 ± 3)/2 → (7+3)/2=5; (7-3)/2=2
→ {5, 2} → Box labeled ONE has {5,2} → So cross out ONE.

Student wrote “0=2,5” — same thing.

---

Problem 3: x² + 5x + 6 = 0

a=1, b=5, c=6
Discriminant: 25 - 24 = 1 → √1 = 1
Solutions: (-5 ± 1)/2 → (-5+1)/2 = -2; (-5-1)/2 = -3
→ {-2, -3} → Box ASL has this → Cross out ASL.

Student wrote “0=-3,-2” — correct.

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Problem 4: x² - 3x - 4 = 0

a=1, b=-3, c=-4
Discriminant: 9 + 16 = 25 → √25 = 5
Solutions: (3 ± 5)/2 → (3+5)/2=4; (3-5)/2=-1
→ {-1, 4} → Look for box with {-1,4}? Not directly listed.

Wait — look at boxes:

Check ING (top row): {5/2, -1} → no
ICK: {-3±√37}/2 → no
BOW: {2, -4/3} → no
COW: {2±√30}/6 → no
GLE: {5±√17}/2 → no
SIN: {6,1} → no
MET: {2,-4} → close but not quite
EEP: {3±√15}/2 → no
ATH: {-5±√13}/6 → no
TOK: {-4, 1/2} → no
BOY: {2, 1/2} → no
RIT: {-1,-3} → already used
ONE: {5,2} → used
ASL: {-2,-3} → used

Wait — maybe I missed something.

Problem 4: solutions are -1 and 4.

Is there a box with {-1, 4}? Let me scan again.

Actually — looking back at the image description (even though I can’t see it), the user wrote next to #4: “= -1, 4”

Now check the grid:

In the third row, last column: K ING → {4, -1} ← YES! That’s the same as {-1, 4}. Order doesn’t matter in sets.

So box K ING has {4, -1} → matches problem 4 → cross it out.

Note: There’s also an “ING” in top row with {5/2, -1}, and another “ING” in bottom right with {4,-1} — probably labeled differently. In the grid provided in text:

Bottom right is written as:
“< ING {4, -1}” — so likely labeled “ING” or “K ING”? But in the original layout, it might be just “ING” — but wait, top row already has “ING”.

Looking at your typed grid:

You have:

Top row: ONE, ATH, TOK, X ING, X ICK
Middle: ASL, EEP, MET, BOW, COW
Bottom: BOY, RIT, SIN, GLE, < ING {4, -1}

Ah — so two “ING”s? Probably different labels. The bottom right one is marked with “<” — perhaps it's “KING” or just “ING” again? But in context, since {4,-1} is unique, and only appears once, we assign it to problem 4.

So cross out the box with {4, -1} → which is the bottom-right one, labeled “< ING” — but for letter collection, we care about the word above: if it says “ING”, then letters I,N,G are removed when crossed out.

But let’s proceed systematically.

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Problem 5: y² + 2y - 8 = 0

a=1, b=2, c=-8
Discriminant: 4 + 32 = 36 → √36 = 6
Solutions: (-2 ± 6)/2 → (-2+6)/2=2; (-2-6)/2=-4
→ {2, -4} → Box MET has {2, -4} → Cross out MET.

Student wrote “= -4, 2” — correct.

---

Problem 6: x² - 5x + 2 = 0

a=1, b=-5, c=2
Discriminant: 25 - 8 = 17 → √17
Solutions: (5 ± √17)/2 → Box GLE has {5 ± √17}/2 → Cross out GLE.

Student wrote “= 5 ± √17” — missing denominator, but probably meant over 2. Correct value.

---

Problem 7: d² + 3d - 7 = 0

a=1, b=3, c=-7
Discriminant: 9 + 28 = 37 → √37
Solutions: (-3 ± √37)/2 → Box ICK has {-3 ± √37}/2 → Cross out ICK.

Student wrote “= (-3 ± √37)/2” — correct.

---

Problem 8: 2x² - 5x + 2 = 0

a=2, b=-5, c=2
Discriminant: 25 - 16 = 9 → √9 = 3
Solutions: (5 ± 3)/(4) → (5+3)/4=8/4=2; (5-3)/4=2/4=1/2
→ {2, 1/2} → Box BOY has {2, 1/2} → Cross out BOY.

Student wrote “= 2, 1/2” — correct.

---

Problem 9: 2n² - 3n - 5 = 0

a=2, b=-3, c=-5
Discriminant: 9 + 40 = 49 → √49 = 7
Solutions: (3 ± 7)/4 → (3+7)/4=10/4=5/2; (3-7)/4=-4/4=-1
→ {5/2, -1} → Box ING (top row, fourth column) has {5/2, -1} → Cross out that ING.

Student wrote “= 5/2, -1” — correct.

Note: This is the OTHER “ING” — top row, not bottom right.

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Problem 10: 3x² + 5x + 1 = 0

a=3, b=5, c=1
Discriminant: 25 - 12 = 13 → √13
Solutions: (-5 ± √13)/6 → Box ATH has {-5 ± √13}/6 → Cross out ATH.

Student wrote “= (-5 ± √13)/6” — correct.

---

Problem 11: 3y² - 2y - 8 = 0

a=3, b=-2, c=-8
Discriminant: 4 + 96 = 100 → √100 = 10
Solutions: (2 ± 10)/6 → (2+10)/6=12/6=2; (2-10)/6=-8/6=-4/3
→ {2, -4/3} → Box BOW has {2, -4/3} → Cross out BOW.

Student wrote “= 2, -4/3” — correct.

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## Now, list all boxes and whether they were crossed out:

Boxes (with their solution sets):

1. ONE → {5,2} → Problem 2 → CROSS OUT
2. ATH → {-5±√13}/6 → Problem 10 → CROSS OUT
3. TOK → {-4, 1/2} → Did we use this? Let’s check — none of our problems gave this.
Problem 4 was {-1,4}, problem 8 was {2,1/2}, etc. No match → NOT crossed out
4. ING (top) → {5/2, -1} → Problem 9 → CROSS OUT
5. ICK → {-3±√37}/2 → Problem 7 → CROSS OUT
6. ASL → {-2,-3} → Problem 3 → CROSS OUT
7. EEP → {3±√15}/2 → Not matched → NOT crossed out
8. MET → {2,-4} → Problem 5 → CROSS OUT
9. BOW → {2, -4/3} → Problem 11 → CROSS OUT
10. COW → {2±√30}/6 → Not matched → NOT crossed out
11. BOY → {2, 1/2} → Problem 8 → CROSS OUT
12. RIT → {-1,-3} → Problem 1 → CROSS OUT
13. SIN → {6,1} → Not matched → NOT crossed out
14. GLE → {5±√17}/2 → Problem 6 → CROSS OUT
15. ING (bottom right) → {4,-1} → Problem 4 → CROSS OUT

Wait — in your grid, you have 15 boxes? Let me count rows:

Row 1: ONE, ATH, TOK, ING, ICK → 5
Row 2: ASL, EEP, MET, BOW, COW → 5
Row 3: BOY, RIT, SIN, GLE, ING → 5
Total 15 boxes.

Now, which ones are NOT crossed out?

From above:

- TOK → not crossed
- EEP → not crossed
- COW → not crossed
- SIN → not crossed

That’s four boxes left.

Their labels:

- TOK → letters T, O, K
- EEP → E, E, P
- COW → C, O, W
- SIN → S, I, N

But we need to collect the letters from the *remaining boxes* — meaning, the words above the solution sets that were NOT crossed out.

So remaining boxes: TOK, EEP, COW, SIN

Letters: T,O,K,E,E,P,C,O,W,S,I,N

But we need to arrange them in order — probably left to right, top to bottom, skipping crossed-out ones.

Original grid order:

Row 1:
[ONE] [ATH] [TOK] [ING] [ICK] → crossed, crossed, TOK, crossed, crossed → so only TOK remains in row 1

Row 2:
[ASL] [EEP] [MET] [BOW] [COW] → crossed, EEP, crossed, crossed, COW

Row 3:
[BOY] [RIT] [SIN] [GLE] [ING] → crossed, crossed, SIN, crossed, crossed

So remaining boxes in order:
Row1: TOK
Row2: EEP, COW
Row3: SIN

So sequence: TOK, EEP, COW, SIN

Now take the letters:

TOK → T, O, K
EEP → E, E, P
COW → C, O, W
SIN → S, I, N

Put together: T O K E E P C O W S I N

But that seems messy. Maybe we take only the first letter? Or the whole word?

The instruction says: “print the letters from the remaining boxes in the spaces at the bottom of the page.”

And the bottom has blank boxes — probably one per letter.

Looking at the silhouette — it’s a wizard reading, and the punchline is likely a pun on “metaphor”.

Common joke: “What is a metaphor?” → “A big fat liar!” or similar.

But let’s think: the remaining boxes are TOK, EEP, COW, SIN.

If we read the words: TOK EEP COW SIN — doesn’t make sense.

Perhaps we take the letters that are NOT part of crossed-out words — but that’s complicated.

Alternative approach: maybe the “letters” refer to the alphabetic characters in the box labels that remain.

But let’s list all box labels and mark which are crossed:

Crossed out:
ONE, ATH, ING(top), ICK, ASL, MET, BOW, BOY, RIT, GLE, ING(bottom) → that’s 11

Remaining:
TOK, EEP, COW, SIN → 4 boxes

Now, if we write the letters from these boxes in order:

TOK → T, O, K
EEP → E, E, P
COW → C, O, W
SIN → S, I, N

Sequence: T, O, K, E, E, P, C, O, W, S, I, N

But the bottom has how many blanks? In the image description, it shows a row of blank boxes under the grid — probably 12 or so.

But perhaps we’re supposed to take the first letter of each remaining box? T, E, C, S → TECS? No.

Another idea: maybe “print the letters” means the consonants or vowels? Unlikely.

Wait — let’s double-check if any box was misassigned.

Problem 4: solutions {-1,4} → assigned to bottom-right ING ({4,-1}) — correct.

But is there a box with {-4, 1/2}? Yes — TOK has {-4, 1/2}

Did any problem give that?

Let’s recheck all problems:

Problem 1: {-1,-3}
Problem 2: {5,2}
Problem 3: {-2,-3}
Problem 4: {-1,4}
Problem 5: {2,-4}
Problem 6: {(5±√17)/2}
Problem 7: {(-3±√37)/2}
Problem 8: {2,1/2}
Problem 9: {5/2, -1}
Problem 10: {(-5±√13)/6}
Problem 11: {2, -4/3}

None of these is {-4, 1/2} — so TOK is indeed not crossed out.

Similarly, EEP: {3±√15}/2 — not used
COW: {2±√30}/6 — not used
SIN: {6,1} — not used

So those four are definitely remaining.

Now, perhaps the answer is formed by taking the letters from the remaining box labels and arranging them to form a phrase.

TOK EEP COW SIN — if we rearrange: "TO KEEP COW SIN" — still nonsense.

Maybe it's "TO KEEPCOWSIN" — no.

Another thought: perhaps "the letters" means the individual characters, and we need to spell a word by selecting specific ones.

Or — here's a better idea: in some versions of this worksheet, the remaining letters spell "TO KEEP IT REAL" or something, but let's calculate the number of letters.

Perhaps I made a mistake in problem assignment.

Let me verify problem 4 again.

Problem 4: x² - 3x - 4 = 0 → factors as (x-4)(x+1)=0 → x=4 or x=-1 → {-1,4}

Box with {4,-1} is bottom-right, labeled "ING" — but in your grid, it's written as "< ING {4, -1}" — so perhaps the label is "KING" or just "ING", but there's already an "ING" in top row.

In the top row, fourth box is "X ING" with {5/2, -1} — that's for problem 9.

Bottom right is fifth box of third row: "< ING {4, -1}" — the "<" might indicate it's "KING" or "LING", but in standard version, it's often "KING".

Upon recalling, in the actual "Algebra with Pizzazz" book, page 221, the bottom-right box is labeled "KING" with {4, -1}.

Similarly, the top-row fourth is "TING" or "ING" — but let's assume based on common knowledge.

In many sources, for this exact worksheet, the remaining boxes are TOK, EEP, COW, SIN, and the letters spell "TO KEEP COW SIN" which is not right.

Perhaps we take only the first letter of each remaining box: T, E, C, S — not helpful.

Another approach: maybe "print the letters" means the letters that are in the solution sets of the remaining boxes — but that would be numbers and radicals.

No.

Let's think differently. Perhaps the "boxes" refer to the cells, and "letters" are the alphabetic characters in the cell content, but that includes math symbols.

I recall that in this specific worksheet, the answer is "TO KEEP IT REAL" or "A BIG FAT LIAR", but let's calculate the number of blank spaces at the bottom.

In the image description, it shows a row of blank boxes under the grid — typically 12 or 13 spaces.

Perhaps the remaining box labels are to be read as words, and we take their letters in order.

TOK -> T,O,K
EEP -> E,E,P
COW -> C,O,W
SIN -> S,I,N

So the sequence is: T,O,K,E,E,P,C,O,W,S,I,N

That's 12 letters.

If we group them: TO KEE PCO WS IN — not good.

TO KEEP COW SIN — still not.

Unless it's "TO KEEP COWS IN" — but that's 12 letters: T,O, ,K,E,E,P, ,C,O,W,S, ,I,N — but we don't have spaces.

Perhaps it's "TOKEEPCOWSIN" — no.

Another idea: maybe the box labels are to be considered, and we remove the crossed-out ones, and the remaining letters are to be arranged to form the phrase.

List all letters from all box labels initially:

Row 1: O,N,E, A,T,H, T,O,K, I,N,G, I,C,K
Row 2: A,S,L, E,E,P, M,E,T, B,O,W, C,O,W
Row 3: B,O,Y, R,I,T, S,I,N, G,L,E, I,N,G (assuming bottom-right is ING)

But this is messy.

Perhaps for the remaining boxes, we take the word and use it as is.

I remember now: in the standard answer for this worksheet, the remaining boxes are TOK, EEP, COW, SIN, and the letters spell "TO KEEP COW SIN" which is a play on "to keep cows in" but it's actually "TO KEEP IT REAL" — no.

Let's search my memory: the punchline is "A METAPHOR IS A BIG FAT LIAR" but that doesn't fit.

Perhaps I missed that one of the boxes is not crossed out that should be.

Let's double-check problem 6: 3x² +5x+1=0 -> solutions (-5±√13)/6 -> ATH has that -> crossed out.

Problem 7: d²+3d-7=0 -> (-3±√37)/2 -> ICK has that -> crossed out.

Problem 10: same as problem 6? No, problem 10 is 3x²+5x+1=0, same as problem 6? No, problem 6 is x²-5x+2=0.

All seem correct.

Another thought: in problem 4, the solution is {-1,4}, and the box is labeled "KING" in some versions, not "ING".

Assume that the bottom-right box is "KING" with {4,-1}.

Then the remaining boxes are: TOK, EEP, COW, SIN, and KING is crossed out for problem 4.

But earlier I have 11 crossed out, 4 remaining.

If bottom-right is "KING", then when we cross it out, the label "KING" is removed, so letters K,I,N,G are gone.

But in our case, for problem 4, we cross out the box with {4,-1}, which is labeled "KING" or "ING".

To resolve this, let's look for the standard answer.

Upon recollection, for "What Is a Metaphor?" on page 221 of Algebra with Pizzazz, the answer is "TO KEEP IT REAL" or "A BIG FAT LIAR", but let's calculate the letters from the remaining boxes.

Perhaps the "letters" are the ones in the box headers that are not crossed out, and we read them in order.

Remaining boxes: TOK, EEP, COW, SIN

If we take the first letter of each: T, E, C, S — not good.

Take all letters: T,O,K,E,E,P,C,O,W,S,I,N

Now, if we sort them or something.

Notice that "TO KEEP COWS IN" is 12 letters: T,O, ,K,E,E,P, ,C,O,W,S, ,I,N — but we have no spaces.

Perhaps it's "TOKEEPCOWSIN" which is not English.

Another idea: perhaps "EEP" is "KEEP" without K, but we have TOK which has K.

Let's try to form "TO KEEP IT REAL" — but that's 12 letters including spaces.

T,O, ,K,E,E,P, ,I,T, ,R,E,A,L — 14 characters.

Our remaining letters are 12: T,O,K,E,E,P,C,O,W,S,I,N

If we ignore C,W,S, we have T,O,K,E,E,P,O,I,N — not helping.

Perhaps I have a mistake in problem 9.

Problem 9: 2n² -3n -5=0 -> solutions (3±7)/4 = 10/4=5/2, -4/4= -1 -> {5/2, -1}

Box with that is top-row fourth: "ING" with {5/2, -1} — so cross out that ING.

But in the grid, it's labeled "X ING" — perhaps "TING" or "HING", but usually "ING".

For problem 4, bottom-right is "KING" with {4,-1}.

So let's assume the labels are:

- Top-row fourth: "TING" or "ING" — but to distinguish, let's call it "ING1" with {5/2, -1} for problem 9.

- Bottom-right: "KING" with {4,-1} for problem 4.

Then when we cross out, we remove "ING1" and "KING".

Then remaining boxes: TOK, EEP, COW, SIN

Same as before.

Perhaps the answer is "TO KEEP COW SIN" and it's a joke, but I think it's "TO KEEP IT REAL" — let's see if "IT REAL" can be formed.

From T,O,K,E,E,P,C,O,W,S,I,N — we have I,T,R,E,A,L? We have I,T, but no R,A,L.

We have C,O,W,S — not R,A,L.

Another possibility: perhaps "SIN" is not remaining.

Let's check if any problem matches SIN's solution: {6,1}

Is there a problem with solutions 6 and 1?

For example, if x² -7x +6=0, solutions 6 and 1, but we have x² -7x +10=0 for problem 2, which is 5 and 2.

No problem has {6,1}, so SIN is not crossed out.

Perhaps the final answer is formed by taking the letters from the remaining box labels and reading them as "TOK EEP COW SIN" which sounds like "to keep cow sin" but it's meant to be "to keep cows in" — and "cows in" is from COW and SIN.

COW + SIN = COWSIN, which is "cows in" if we interpret SIN as "in" but S is extra.

SIN has S,I,N — so "S IN" could be "sin" or "s in".

Perhaps it's "TO KEEP COWS IN" and the S is from SIN, I and N from SIN, C O W from COW, T O K from TOK, E E P from EEP — so T O K E E P C O W S I N — and if we group as TO KEEP COWS IN, that's 12 letters: positions 1-2: TO, 3-5: KEE, 6-7: P , but we have no space.

In the blank spaces at the bottom, there are 12 boxes, so likely 12 letters.

And "TOKEEP COWSIN" is not standard, but "TO KEEP COWS IN" is 12 characters if we include spaces, but we don't have spaces.

Perhaps the answer is "TOKEEPCOWSIN" and it's a code, but I doubt it.

Let's think of the title: "What Is a Metaphor?" and the punchline is often "A big fat liar!" but that doesn't fit.

Another idea: perhaps " the letters" means the letters that are in the solution sets of the remaining boxes, but that would be numbers.

I recall now: in some versions, the remaining boxes are TOK, EEP, COW, SIN, and the letters spell "TO KEEP IT REAL" by taking T from TOK, O from TOK, K from TOK, E from EEP, E from EEP, P from EEP, then I from SIN, T from ? we don't have another T.

SIN has S,I,N — so I is there, but T is only in TOK.

Perhaps for "IT", I from SIN, T from TOK, but TOK is already used.

Let's list the letters available from remaining boxes:

From TOK: T, O, K
From EEP: E, E, P
From COW: C, O, W
From SIN: S, I, N

So letters: T,O,K,E,E,P,C,O,W,S,I,N

Now, to form "TO KEEP IT REAL" — we need T,O, ,K,E,E,P, ,I,T, ,R,E,A,L — we have T,O,K,E,E,P,I, but no second T, no R,A,L, and we have extra C,W,S,N,O.

Not matching.

Perhaps "A METAPHOR IS A LIE" — too long.

Let's count the number of blank spaces in the bottom row. In the image description, it shows a row of blank boxes — typically for this page, there are 12 blank spaces.

And 12 letters from the 4 boxes: 3+3+3+3=12.

So the 12 letters are: T,O,K,E,E,P,C,O,W,S,I,N

Now, if we arrange them as: T O K E E P C O W S I N

Perhaps it's "TO KEE PCO WS IN" — not good.

Another thought: maybe "EEP" is "KEEP" and "TOK" is "TO K", so "TO K KEEP" — no.

Perhaps the box "EEP" is meant to be "KEEP", and "TOK" is "TO K", but that's stretching.

I found a reliable source in my memory: for this worksheet, the answer is "TO KEEP IT REAL" but that requires different letters.

Perhaps I have a mistake in problem 1.

Problem 1: x²+4x+3=0 -> (x+1)(x+3)=0 -> x= -1, -3 -> RIT has {-1,-3} -> crossed out.

Correct.

Problem 3: x²+5x+6=0 -> (x+2)(x+3)=0 -> x= -2, -3 -> ASL has {-2,-3} -> crossed out.

Correct.

Perhaps for problem 4, the box is not "ING" but "KING", and when crossed out, it removes K,I,N,G, but in our case, for the remaining, we have TOK which has K, so conflict.

Let's assume that the bottom-right box is "KING" and it is crossed out for problem 4.

Then the remaining boxes are: TOK, EEP, COW, SIN

Same as before.

Perhaps the answer is "TO KEEP COWS IN" and the S is from SIN, I and N from SIN, so "S IN" is "sin" but in context, "cows in" .

And "TO KEEP" from TOK and EEP: T O K from TOK, E E P from EEP — so "TO K EEP" which is "TO KEEP" if we consider K from TOK and EEP as "EEP" but "KEEP" is K,E,E,P — so from TOK: K, from EEP: E,E,P — so K,E,E,P for "KEEP", and T,O from TOK for "TO", so "TO KEEP" from TOK and EEP.

Then from COW: C,O,W for "COW", from SIN: S,I,N for "SIN" — so "COW SIN" which is "cows in" if we take S from SIN and IN from SIN, but SIN is S,I,N — so "S IN" can be "s in" or "sin".

So altogether: "TO KEEP COWS IN" — and the letters are T,O, K,E,E,P, C,O,W, S,I,N — which is exactly what we have: T,O,K,E,E,P,C,O,W,S,I,N

And if we insert spaces: TO KEEP COWS IN

But in the blank spaces, we put the letters without spaces, so the string is "TOKEEP COWSIN" but usually in these puzzles, the spaces are implied or the blanks are for letters only, and the phrase is understood.

Perhaps the bottom has 12 blanks, and we fill with T,O,K,E,E,P,C,O,W,S,I,N, and it reads as "TO KEEP COWS IN" when grouped.

And "What is a metaphor?" -> "To keep cows in" — which is a pun, as "metaphor" sounds like "meadow for" or something, but "to keep cows in" is a literal interpretation.

In some versions, it's "to keep it real", but for this, I think "to keep cows in" is the intended answer.

Perhaps "cows in" is from COW and SIN, with S from SIN.

So the final answer should be the letters: T,O,K,E,E,P,C,O,W,S,I,N

But for the response, since the user wants the final answer, and it's a phrase, we need to output the phrase.

In the context, the answer is "TO KEEP COWS IN" or "TOKEEPCOWSIN".

But let's confirm with the number.

Perhaps the box "SIN" is for "IN", and "COW" for "COW", so "COW IN" but we have S extra.

Another idea: in some worksheets, the remaining boxes are TOK, EEP, COW, and the fourth is not SIN but something else.

Let's list the boxes again with their status:

After crossing out based on solutions:

- ONE: crossed (prob 2)
- ATH: crossed (prob 10)
- TOK: not crossed
- ING (top): crossed (prob 9)
- ICK: crossed (prob 7)
- ASL: crossed (prob 3)
- EEP: not crossed
- MET: crossed (prob 5)
- BOW: crossed (prob 11)
- COW: not crossed
- BOY: crossed (prob 8)
- RIT: crossed (prob 1)
- SIN: not crossed
- GLE: crossed (prob 6)
- ING (bottom): crossed (prob 4) — assuming it's labeled ING or KING

So remaining: TOK, EEP, COW, SIN

Now, perhaps the answer is "TO KEEP IT REAL" but we don't have I,T,R,E,A,L — we have I from SIN, T from TOK, but no R,A,L.

We have C,O,W,S,N — not R,A,L.

Unless "SIN" is "S IN" and "COW" is "C OW", but not helping.

I recall that in the actual answer key, for this page, the message is "TO KEEP IT REAL" but that must be for a different version.

Perhaps for this, it's "A BIG FAT LIAR" but that's 12 letters: A,B,I,G,F,A,T,L,I,A,R — 11 letters.

"A BIG FAT LIAR" is 11 characters with spaces, 10 letters.

Our 12 letters don't match.

Another possibility: perhaps " the letters" means the letters that are in the box labels of the remaining boxes, and we take them in order, and it spells "TOK EEP COW SIN" which is to be read as "to keep cow sin" but it's a joke for "to keep cows in".

And in the context of the wizard, it might be humorous.

Perhaps the final answer is "TOKEEP COWSIN" but I think for the purpose, we'll go with the letters.

But the user asks for the final answer, and in such worksheets, the answer is usually a phrase.

Let's look for the standard answer online in my knowledge.

Upon recollection, for "What Is a Metaphor?" on page 221, the answer is "TO KEEP IT REAL" but that requires different assignments.

Perhaps I have a mistake in problem 6 or 10.

Problem 6: x² -5x +2=0 -> (5±√17)/2 -> GLE has that -> crossed out.

Problem 10: 3x²+5x+1=0 -> (-5±√13)/6 -> ATH has that -> crossed out.

Both correct.

Perhaps for problem 4, the solution is {-1,4}, and the box is "KING", and when crossed out, it removes K,I,N,G, but in TOK, there is K, so if "KING" is crossed out, the K in TOK is still there, but the box "KING" is removed, so its letters are not available, but the box "TOK" is separate.

The letters are from the box labels that are not crossed out, so for remaining boxes, we take their label letters.

So for TOK, we take T,O,K; for EEP, E,E,P; etc.

So the string is "TOK" + "EEP" + "COW" + "SIN" = "TOKEEPCOWSIN"

And if we split as "TO KEEP COWS IN", that makes sense as a phrase.

And "What is a metaphor?" -> "To keep cows in" — which is a play on words, as "metaphor" might sound like "meadow for" or "meta for", but "to keep cows in" is a literal fence, while metaphor is figurative.

So I think that's it.

Therefore, the letters to print are: T, O, K, E, E, P, C, O, W, S, I, N

And the phrase is "TO KEEP COWS IN"

For the final answer, since the instruction is to print the letters in the spaces, and the spaces are at the bottom, we output the sequence.

But in the response, we need to provide the final answer as the phrase or the letters.

Typically, in such cases, the answer is the phrase.

So I'll go with "TO KEEP COWS IN"

To confirm, let's see if there's a box with "IT" or "REAL" — no.

Perhaps "SIN" is "S IN" and "COW" is "C OW", but "COWS IN" is fine.

So Final Answer: TO KEEP COWS IN

But let's write it as a string.

Since the user may expect the letters in order, but the instruction says "print the letters from the remaining boxes in the spaces", so likely the sequence is T,O,K,E,E,P,C,O,W,S,I,N

But for the answer, we can box the phrase.

In the context, I think "TO KEEP COWS IN" is the intended answer.

So I'll go with that.

Final Answer: TO KEEP COWS IN