Let’s solve
both sections of this worksheet: the
“Worksheet Relay Race” (solving equations) and the
“Jigsaw a Worksheet” (multiple choice word problems).
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##
✔ PART 1: Two-Step Equations — Solve Each Equation
We’ll solve each equation step-by-step, isolating the variable.
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1) `9c + 1 = 10`
Subtract 1 from both sides:
> `9c = 9`
Divide by 9:
> `c = 1`
✔ Answer: c = 1
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2) `6y - 5 = 7`
Add 5 to both sides:
> `6y = 12`
Divide by 6:
> `y = 2`
✔ Answer: y = 2
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3) `8 = 3a - 4`
Add 4 to both sides:
> `12 = 3a`
Divide by 3:
> `a = 4`
✔ Answer: a = 4
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4) `m/5 + 9 = 11`
Subtract 9 from both sides:
> `m/5 = 2`
Multiply both sides by 5:
> `m = 10`
✔ Answer: m = 10
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5) `13 + 7x = 27`
Subtract 13 from both sides:
> `7x = 14`
Divide by 7:
> `x = 2`
✔ Answer: x = 2
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6) `17 - q = 6`
Subtract 17 from both sides:
> `-q = -11`
Multiply both sides by -1:
> `q = 11`
✔ Answer: q = 11
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7) `(n - 31)/4 = 2`
Multiply both sides by 4:
> `n - 31 = 8`
Add 31 to both sides:
> `n = 39`
✔ Answer: n = 39
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8) `1 + 2r = 35`
Subtract 1 from both sides:
> `2r = 34`
Divide by 2:
> `r = 17`
✔ Answer: r = 17
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9) `42 + 5t = 8t`
Subtract 5t from both sides:
> `42 = 3t`
Divide by 3:
> `t = 14`
✔ Answer: t = 14
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10) `4p - 3 = 17`
Add 3 to both sides:
> `4p = 20`
Divide by 4:
> `p = 5`
✔ Answer: p = 5
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##
✔ PART 2: Two-Step Equations - MCQ — Choose the Correct Equation
We interpret each word problem and match it to the correct equation.
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1) Janice had x color pencils... shares equally with Talia → gives away half. Brother gives her 2 more. Now has 3.
So: She started with `x`, gave away `x/2`, then added 2 → total is 3.
Equation:
> `x/2 + 2 = 3`
✔ Correct Answer: d) x/2 + 2 = 3
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2) City A received x inches, City B received 3 times that → 3x. Total rainfall = 11.
So:
> `x + 3x = 11`
✔ Correct Answer: a) x + 3x = 11
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3) Timothy spent $68 total. Jeans = $32, 2 t-shirts at $x each.
Total cost:
> `32 + 2x = 68`
or rearranged:
> `2x + 32 = 68`
✔ Correct Answer: b) 2x + 32 = 68
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4) 3 burrito bowls at $x each → `3x`. Corn tacos = $12.96. Total bill = $32.46.
Equation:
> `3x + 12.96 = 32.46`
✔ Correct Answer: a) 3x + 12.96 = 32.46
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5) Mr. Hewitt: 12 gallons at $x per gallon → `12x`. Supplies = $2264. Total cost = $2624.
So:
> `12x + 2264 = 2624`
✔ Correct Answer: c) 12x + 2264 = 2624
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## 📝 FINAL ANSWERS
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✔ Worksheet Relay Race (Solve Each Equation)
1)
c = 1
2)
y = 2
3)
a = 4
4)
m = 10
5)
x = 2
6)
q = 11
7)
n = 39
8)
r = 17
9)
t = 14
10)
p = 5
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✔ Jigsaw a Worksheet (MCQ)
1)
d
2)
a
3)
b
4)
a
5)
c
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✔ You’re all set! Let me know if you’d like these explained further or turned into a printable answer key.
Parent Tip: Review the logic above to help your child master the concept of 3 step equation worksheet.
