Plug-in/Backsolve
NC #1: If 3a + b = 10 and b = 2a, then a = ?
A) 1/10 B) 2
C) 5 D) 10
B) 2
NC #16: If 5x^2y = 1, what is the value of x^2y?
1/5
2) For i = sqrt(-1), which of the following is equal to (4i + 11) - (2i + 5)?
A) 2i + 6
B) 2i + 16
C) 6i+6
D) 6i + 16
A) 2i + 6
This famous rock band released their renowned Sgt. Pepper's Lonely Heart's Club Band album in 1967.
Who are the Beatles?
NC #11) Emile and Claire each purchased a dessert ... Which of the following equations expresses the amount, in dollars, that each of them paid?
A) 0.2d + 0.1 B) 0.5d + 0.05
C) 1.1d - 0.55 D) 2.2d - 1.1
C) 1.1d - 0.55
C #11: If -6x > 6x + 8, which must be true?
A) x < -4/3
B) x = -4/3
C) x > -4/3
D) x = 0
A) x < -4/3
NC #4: A software company calculates the cost, C, of a certain project, in dollars using C = 90 + 40mph ... Which of the following is the meaning of the number 40?
A) The company spends $40 an hour per programmer
B) A min of 40 programmers will work on the project
C) The price of the project increases by $40 each hour
D) Each programmer works 40 hours per week on the project.
A) The company spends $40 an hour per programmer
This planet has the most moons, with 67 total.
What is Jupiter?
NC #8: If 2/5 = [x-7]/y, which of the following must also be true?
A) x/y = -3/5
B) x/y = 7/5
C) [x+y]/y = 7/5
D) [x-2y]/y = -8/5
B) x/y = 7/5
NC #12: Line l has a negative slope and a y-int of 3. If line m is perpendicular to line l, which of the following must be true?
A) Line m crosses the y-axis at (0,3)
B) Line m crosses the y-axis at (0, -3)
C) Line m has a positive slope
D) Line m has a negative slope
C) Line m has a positive slope
NC #6: Joaquin's workout regimen ... If Joaquin does 25 pushups per day in March and 40 per day in August, which describes the how number of push-ups he does per month changes between March and August?
A) He increases by 1.5 push-ups each month
B) He increases by 4 each month
C) He increases by 4 every 2 months
D) He increases by 3 per month
D) He increases by 3 per month
This Greek mythological figure is the God of Wine, Festivity, and Insanity.
Who is Dionysus?
C #19: At a grocery store, one shopper bought 3 lbs of apples and 6 pounds of bananas for a total of $21, and another bought 4 lbs of apples and 3 lbs of bananas for a total of $18. What is the cost of 1 lb of bananas?
A) $2 B) $3
C) $5 D) $6
A) $2
NC #7: If [a^(x^2)]/[a^(y^2)] = a^36 (where a > 1) and x - y = 4, what is the value of x + y?
A) 9 B) 32
C) 36 D) 40
A) 9
NC #10: For f(x) = -ax^2 - 10, we define a as a constant and f(-3) = 16. What is f(3)?
A) 16 B) 2/3
C) -8 D) -16
D) -16
This European country is home to political parties such as "Fianna Fail" and "Fine Gael."
What is Ireland?
NC #13: S = P/[P+N]
A telemarketer's success index ... Which of the following expresses the number of successful sales calls that the telemarketer makes in terms of the other variables?
A) P = SN/[S-1] B) P = SN/[1-S]
C) P = SN/[1-S] D) P = N/[S-1]
B) P = SN/[1-S]
NC #17: A rectangular case is used to display artwork. The total height of the case is 44 inches and there are 4 parallel shelves. What is the max height, in inches, of a statue that can stand upright on the third shelf from the top? (See picture)
16
C #24: x^2 + y^2 - 4x - 6y = 12
The equation of a circle in the xy-plane is shown above. What are the coordinates of the center?
A) (2,3) B) (-2,-3)
C) (4,6) D) (-4,-6)
A) (2,3)
This United States president, known for his sense of humor, used to pull pranks on his Secret Service agents by buzzing them to the Oval Office and hiding under his desk.
Who is Calvin Coolidge?