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Solve for x: 4x – 2 = -5.
Correct answer(s):
- -3/4
A student solves -2x < 8 and writes x < -4. What is the mistake?
Correct answer(s):
- The inequality sign was not reversed
Solve for x: 4(x – 1) + 10 = 26.
Correct answer(s):
- 5
y varies inversely as x. If y = 8 when x = 5, what is the constant of variation?
Correct answer(s):
- 40
Select all numbers that satisfy x ≥ 2.
Correct answer(s):
- 2
- 3
What type of equation is 3(x + 0) = 3x + 0?
Correct answer(s):
- Identity: true for every value of x
The length of a rectangle is 3 cm more than its width. If the perimeter is 26 cm, what is the width?
Correct answer(s):
- 5 cm
A quantity decreases by 40% and becomes 48. What was the original quantity?
Correct answer(s):
- 80
Factor: m^2 – 4.
Correct answer(s):
- (m - 2)(m + 2)
Solve the system: x + 2y = 9 and x – 2y = 1.
Correct answer(s):
- (5, 2)
What is the slope of the line passing through (-5, 7) and (-3, 3)?
Correct answer(s):
- -2
The sequence begins 12, 14, 16, 18, … . What is the 6th term?
Correct answer(s):
- 22
Solve the inequality: 7x – 10 ≥ -3.
Correct answer(s):
- x ≥ 1
Factor the greatest common factor from 45x + 72.
Correct answer(s):
- 9(5x + 8)
Simplify: (x – 3y + 10) + (-4x – 2y – 9).
Correct answer(s):
- -3x - 5y + 1
Solve for x: 5x – 3 = 16/3.
Correct answer(s):
- 5/3
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) – 6 = 14.
Correct answer(s):
- 4
y varies directly as x. If y = 6 when x = 3, what is the constant of variation?
Correct answer(s):
- 2
Select all numbers that satisfy x ≥ 3.
Correct answer(s):
- 3
- 4