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Simplify: p^8 ÷ p^4, where p ≠ 0.
Correct answer(s):
- p^4
A line has slope -2 and y-intercept 7. Which equation represents the line?
Correct answer(s):
- y = -2x + 7
Find an expression for the nth term of the arithmetic sequence: 1, 6, 11, 16, …
Correct answer(s):
- 5n - 4
Solve the inequality: -6x + 5 > 23.
Correct answer(s):
- x < -3
Evaluate -4x – 4y + 7 when x = 6 and y = -2.
Correct answer(s):
- -9
Expand and simplify: 7(4x + 4).
Correct answer(s):
- 28x + 28
A shop charges a fixed delivery fee of 11 taka plus 6 taka for each notebook. If the total cost is 35 taka, how many notebooks were ordered?
Correct answer(s):
- 4
Find x if 3x – 1 equals 5.
Correct answer(s):
- 2
For the expression 1/(t – 8), which value of t is not allowed?
Correct answer(s):
- 8
In the expression 3a + 4b – 9, which term is the constant term?
Correct answer(s):
- -9
A linear rule produces these values: x=5 gives y=-3, x=2 gives y=0, x=0 gives y=2. Which rule matches the table?
Correct answer(s):
- y = -x + 2
Select all expressions equivalent to 6x + 54.
Correct answer(s):
- 6x + 54
- 6(x + 9)
The sides of a rectangle are (2x + 4) cm and (7x + 2) cm. Which expression represents its area?
Correct answer(s):
- 14x^2 + 32x + 8
5 years from now, Rina’s father’s age will be 3 times Rina’s age. Rina is now 13. How old is her father now?
Correct answer(s):
- 49
Solve the proportion: 4/12 = 5/x.
Correct answer(s):
- 15
For the rule y = x + 0, what is y when x = -2?
Correct answer(s):
- -2
Which point lies on the rule y = 1x + -4?
Correct answer(s):
- (-3, -7)
A square has side length x cm and area 81 cm². What is x?
Correct answer(s):
- 9
A rectangle has length 8 cm and width w cm. If its perimeter is 28 cm, what is w?
Correct answer(s):
- 6
Using distance = speed × time, a cyclist travels 32 km at 8 km/h. What is the time t? Use the balance method before choosing.
Correct answer(s):
- 4