Printable math worksheet with five multiple-choice questions on solving two-step equations.

Problem: Solve the given multiple-choice questions related to two-step equations.

#### Question 1:
Janice had \( x \) color pencils in her box and shares them equally with her friend, Talia. Her brother gives her 2 more color pencils. Janice now has 3 pencils in her box.

Solution:
1. Initially, Janice had \( x \) color pencils.
2. She shared them equally with Talia, so she gave away half of her pencils. After sharing, she has:
\[
\frac{x}{2}
\]
3. Her brother then gives her 2 more pencils. So, the total number of pencils she has now is:
\[
\frac{x}{2} + 2
\]
4. According to the problem, after these steps, Janice has 3 pencils. Therefore, we can write the equation:
\[
\frac{x}{2} + 2 = 3
\]

Correct Answer:
\[
\boxed{a)
\frac{x}{2} + 2 = 3}
\]

---

#### Question 2:
A meteorologist measured the average rainfall received in Cities A and B. Both cities received 11 inches of rainfall in total. While City A received \( x \) inches of rain, City B experienced three times the amount of rainfall than City A.

Solution:
1. Let the rainfall in City A be \( x \) inches.
2. City B received three times the rainfall of City A, so the rainfall in City B is:
\[
3x
\]
3. The total rainfall in both cities is 11 inches. Therefore, we can write the equation:
\[
x + 3x = 11
\]

Correct Answer:
\[
\boxed{a)
x + 3x = 11}
\]

---

#### Question 3:
Timothy spent a total of $68 at Macy's. His purchases included a pair of jeans at $32 and 2 t-shirts at $x each.

Solution:
1. Timothy spent $32 on a pair of jeans.
2. He bought 2 t-shirts, each costing \( x \) dollars. So, the total cost of the t-shirts is:
\[
2x
\]
3. The total amount spent is $68. Therefore, we can write the equation:
\[
32 + 2x = 68
\]

Correct Answer:
\[
\boxed{b)
2x + 32 = 68}
\]

---

#### Question 4:
A customer at a Mexican diner placed an order for 3 burrito bowls which was priced at \( x \) each. He also ordered a plate of corn tacos at $12.96 and was billed for a total of $32.46.

Solution:
1. The cost of 3 burrito bowls, each priced at \( x \), is:
\[
3x
\]
2. The cost of the plate of corn tacos is $12.96.
3. The total bill is $32.46. Therefore, we can write the equation:
\[
3x + 12.96 = 32.46
\]

Correct Answer:
\[
\boxed{a)
3x + 12.96 = 32.46}
\]

---

#### Question 5:
Mr. Hewitt estimates the cost towards a fresh paint job for the exterior of his home. He makes a provision for 12 gallons of paint at $18 per gallon. The cost of paint supplies and miscellaneous expenses are $2364. The total estimated cost for the paint job is $2624.

Solution:
1. Mr. Hewitt needs 12 gallons of paint, and each gallon costs $18. So, the total cost of the paint is:
\[
12 \times 18
\]
2. The cost of paint supplies and miscellaneous expenses is $2364.
3. The total estimated cost for the paint job is $2624. Therefore, we can write the equation:
\[
12 \times 18 + 2364 = 2624
\]

Correct Answer:
\[
\boxed{c)
12 \times 18 + 2364 = 2624}
\]

---

Final Answers:

1. \(\boxed{a}\)
2. \(\boxed{a}\)
3. \(\boxed{b}\)
4. \(\boxed{a}\)
5. \(\boxed{c}\)