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Select all statements true for the equation x^2 – 16x + 64 = 0.
Correct answer(s):
- Sum of roots is 16
- Product of roots is 64
Select all values that satisfy x^2 = 25.
Correct answer(s):
- 5
- -5
Select all correct factors of x^2 – 4.
Correct answer(s):
- x + 2
- x - 2
Select all expressions equivalent to (x + 6)^2.
Correct answer(s):
- x^2 + 12x + 36
- (x + 6)(x + 6)
Five times a number decreased by 7 equals 103. Which equation solves the problem?
Correct answer(s):
- 5x - 7 = 103
7 identical pens cost 210 taka. If one pen costs x taka, which equation and value are correct?
Correct answer(s):
- 7x = 210, x = 30
A rectangle has perimeter 72 cm and length 2 cm more than its width. Find its width.
Correct answer(s):
- 17 cm
A father’s age is 4 more than three times his son’s age. If the father is 73, find the son’s age.
Correct answer(s):
- 23
Two numbers have sum 43. The larger number is 5 more than the smaller. Find the smaller number.
Correct answer(s):
- 19
A number is doubled and 5 is added. The result is 39. What is the number?
Correct answer(s):
- 17
Five times a number decreased by 7 equals 78. Which equation solves the problem?
Correct answer(s):
- 5x - 7 = 78
6 identical pens cost 228 taka. If one pen costs x taka, which equation and value are correct?
Correct answer(s):
- 6x = 228, x = 38
A rectangle has perimeter 56 cm and length 8 cm more than its width. Find its width.
Correct answer(s):
- 10 cm
A father’s age is 4 more than three times his son’s age. If the father is 76, find the son’s age.
Correct answer(s):
- 24
Two numbers have sum 32. The larger number is 6 more than the smaller. Find the smaller number.
Correct answer(s):
- 13
A number is doubled and 5 is added. The result is 31. What is the number?
Correct answer(s):
- 13
Five times a number decreased by 7 equals 68. Which equation solves the problem?
Correct answer(s):
- 5x - 7 = 68
3 identical pens cost 132 taka. If one pen costs x taka, which equation and value are correct?
Correct answer(s):
- 3x = 132, x = 44
A rectangle has perimeter 48 cm and length 4 cm more than its width. Find its width.
Correct answer(s):
- 10 cm
A father’s age is 4 more than three times his son’s age. If the father is 55, find the son’s age.
Correct answer(s):
- 17