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Simplify: (-8x – 3y + 10) + (-6x – 2y + 5).
Correct answer(s):
- -14x - 5y + 15
Solve for x: 2x + 5/3 = -7/3.
Correct answer(s):
- -2
A student says x^2 + x^3 = x^5. What is the mistake?
Correct answer(s):
- Unlike powers were added as if multiplying
Solve for x: 3(x + 3) – 6 = 24.
Correct answer(s):
- 7
y varies directly as x. If y = 10 when x = 5, what is the constant of variation?
Correct answer(s):
- 2
Select all numbers that satisfy x < 5.
Correct answer(s):
- 3
- 4
What type of equation is 3(x – 3) = 3x – 9?
Correct answer(s):
- Identity: true for every value of x
The length of a rectangle is 5 cm more than its width. If the perimeter is 54 cm, what is the width?
Correct answer(s):
- 11 cm
A quantity decreases by 20% and becomes 192. What was the original quantity?
Correct answer(s):
- 240
Factor: x^2 – 9.
Correct answer(s):
- (x - 3)(x + 3)
Simplify: x^0, where x ≠ 0.
Correct answer(s):
- 1
Solve the system: x + 2y = 7 and -x + 2y = 1.
Correct answer(s):
- (3, 2)
What is the slope of the line passing through (3, 1) and (5, 0)?
Correct answer(s):
- -1/2
The sequence begins -2, 0, 2, 4, … . What is the 11th term?
Correct answer(s):
- 18
Solve the inequality: 4x – 3 ≥ -15.
Correct answer(s):
- x ≥ -3
Factor the greatest common factor from 18x – 45.
Correct answer(s):
- 9(2x - 5)
Simplify: (x – 6y – 10) + (-4x + 2y + 8).
Correct answer(s):
- -3x - 4y - 2
Solve for x: 8x – 5/3 = -169/15.
Correct answer(s):
- -6/5
A student solves 3(x + 4) as 3x + 4. What is the mistake?
Correct answer(s):
- The 3 was not multiplied by 4
Solve for x: 4(x + 1) – 1 = 35.
Correct answer(s):
- 8