TCAP Math Problem Solving 3 — Questions and Answers
Question 1: If 2x − 7 = 13, what is the value of x?
- 3
- 7
- 10 (Correct answer)
- 13
Correct answer: 10
Add 7 to both sides: 2x = 20, then divide by 2: x = 10.
Question 2: A pizza is cut into 8 equal slices. Tom eats 3 slices and Sarah eats 2 slices. What fraction of the pizza is left?
- 1/4
- 3/8 (Correct answer)
- 5/8
- 3/4
Correct answer: 3/8
3 + 2 = 5 slices eaten; 8 − 5 = 3 slices left; 3/8 remains.
Question 3: A car uses 3 gallons of gas to travel 90 miles. How many gallons are needed to travel 210 miles?
- 5 gallons
- 6 gallons
- 7 gallons (Correct answer)
- 8 gallons
Correct answer: 7 gallons
Rate = 90 ÷ 3 = 30 miles per gallon; gallons needed = 210 ÷ 30 = 7.
Question 4: What is the value of 4³ − 5²?
- 39 (Correct answer)
- 41
- 43
- 64
Correct answer: 39
4³ = 64 and 5² = 25; 64 − 25 = 39.
Question 5: On a number line, which value is between −3 and −1?
- −4
- −2 (Correct answer)
- 0
- 1
Correct answer: −2
−2 lies between −3 and −1 on the number line.
Question 6: A rectangle has a perimeter of 36 cm and a length of 10 cm. What is its width?
- 6 cm
- 7 cm
- 8 cm (Correct answer)
- 9 cm
Correct answer: 8 cm
Perimeter = 2(l + w); 36 = 2(10 + w); 18 = 10 + w; w = 8 cm.
Question 7: A table shows the following data: 12, 15, 11, 18, 14. What is the median?
- 11
- 13
- 14 (Correct answer)
- 15
Correct answer: 14
Ordered: 11, 12, 14, 15, 18; the middle value is 14.
TCAP Math Problem Solving 3
If 2x − 7 = 13, what is the value of x?