Which expression represents ‘the sum of a number x and 8, divided by 3’?
Correct answer(s):
- (x + 8)/3
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A linear rule produces these values: x=5 gives y=22, x=-4 gives y=-14, x=3 gives y=14. Which rule matches the table?
Correct answer(s):
- y = 4x + 2
Select all expressions equivalent to 4x + 16.
Correct answer(s):
- 4x + 16
- 4(x + 4)
The sides of a rectangle are (8x + 1) cm and (2x + 4) cm. Which expression represents its area?
Correct answer(s):
- 16x^2 + 34x + 4
5 years from now, Rina’s father’s age will be 3 times Rina’s age. Rina is now 11. How old is her father now?
Correct answer(s):
- 43
Solve the proportion: 10/4 = 25/x.
Correct answer(s):
- 10
Expand: (a – 7)^2.
Correct answer(s):
- a^2 - 14a + 49
Simplify: (p^2)^3.
Correct answer(s):
- p^6
A line has slope 2 and y-intercept 4. Which equation represents the line?
Correct answer(s):
- y = 2x + 4
Find an expression for the nth term of the arithmetic sequence: 7, 12, 17, 22, …
Correct answer(s):
- 5n + 2
Solve the inequality: -5x – 5 ≤ 10.
Correct answer(s):
- x ≥ -3
Evaluate 3x + 5y when x = 5 and y = -3.
Correct answer(s):
- 0
Expand and simplify: 4(-x – 3).
Correct answer(s):
- -4x - 12
A shop charges a fixed delivery fee of 7 taka plus 4 taka for each eraser pack. If the total cost is 39 taka, how many eraser packs were ordered?
Correct answer(s):
- 8
What value of x makes the equation 6x – 17 = 43 true?
Correct answer(s):
- 10
For the expression 1/(n – 8), which value of n is not allowed?
Correct answer(s):
- 8
Which expression represents ‘five less than twice a number n’?
Correct answer(s):
- 2n - 5
A linear rule produces these values: x=1 gives y=1, x=2 gives y=-1, x=-2 gives y=7. Which rule matches the table?
Correct answer(s):
- y = -2x + 3
Select all expressions equivalent to 5x + 45.
Correct answer(s):
- 5x + 45
- 5(x + 9)
The sides of a rectangle are (3x + 5) cm and (8x + 4) cm. Which expression represents its area?
Correct answer(s):
- 24x^2 + 52x + 20