PLUG IN
On a trip, a car travels at an average speed of 22 meters per second. The trip is 15.8 kilometers long. Which function can be used to estimate how many meters, f(t), are left to travel after t seconds? (1 kilometer is equal to 1,000 meters)
a) f(t) = 15,800 -22t
b) f(t) = 22 - 15,800t
c) f(t) = 15.8 - 22t
d) f(t) = 0.022 - 15.8t
A) 15,800 - 22t
M1.5
The exponential function h is defined by h(x) = 23rx, where r is a positive constant. If h(5) = 5,589, what is the value of h(4)?
1863
M2A.8
M1.9
140
Which of the following gives 3 values of x and their corresponding values of f(x) for the given function?
a) (1,-3), (2,10), (3,14)
b) (1,-2), (2,4), (3,14)
c) (1,-1), (2,4), (3,12)
d) (1,-2), (2,4), (3,12)
B) (1,-2), (2,4), (3,14)
M1.3
(2a2b - 5a2+6ab2) - (a2b - 4ab2-5a2)
Which of the following is equivalent to the expression above?
a) 11a2b2
b) 2ab2-10a2
c) a2b + 10ab2
d) a2b +2ab2-10a2
C) a2b + 10ab2
M1.7
One of the factors of 3x3+48x2+165x is x+a, where a is a positive constant. What is the least possible value of a?
5
M2A.15
M1.16
D) 15/17
y = 2
y = ax2 + b
In the system above, a and b are constants. For which of the following values of a and b does the system have exactly 2 solutions?
a) a = 2, b = 4
b) a = 2, b = -2
c) a = -2, b = 2
d) a = -4, b =-2
(desmos also works ofc)
b) a = 2, b = -2
M1.11
F(x) = 9000(0.66)x
The given function models the number of advertisements a company sends to its clients each year, where c represents the number of years since 1997, X is equal to or between 0 & 5. If y=f(x) is graphed in the xy-plane, which of the following is the best interpretation of the y-intercept of the graph in context?
a) The minimum estimated number of advertisements the company sent in 5 years was 1708
b) The minimum estimated number of advertisements the company sent in 5 years was 9000
c) The estimated number of advertisements the company sent in 1997 was 9000
d) The estimated number of advertisements the company sent in 1997 was 1708
C) The estimated number of advertisements the company sent in 1997 was 9000
Extra Drill
DOUBLE JEOPARDY
victoria@thetinram.com
M2A.9
C) 20
Soren Anderson is a loser who quit being a CapEd SAT instructor to be a zoologist studying the population of wolves in two different types of forests. He observed that the population of wolves in forest A was 12 percent less than the population of wolves in forest B. Based on Soren's findings, if there were 66 wolves in Forest A, how many wolves were in forest B?
a) 58
b) 74
c) 75
d) 78
c) 75
M2A.13
Which of the following is equivalent to
4/(4x-5) - 1/(x+1) ?
a)1/(x+1)(4x-5)
b) 3/(3x-6)
c) -1/(x+1)(4x-5)
d) 9/(x+1)(4x-5)
d) 9/(x+1)(4x-5)
Extra Drills
5x + h = 8x + 11
5y + h = 8y + 11
In the equation above, h and k are constants. If h is k minus 1/3, which of the following is true?
a) x = y - 1/9
b) x = y - 1/3
c) x = y - 1
d) x = y + 1/3
a) x = y - 1/9
M1.20
M2A.12
C) 24sqrt(2) + 24
List A consists of the heights of 80 trees, which have an average height of 60 feet. List B consists of the heights of 40 trees, which have an average height of 36 feet. What is the average height of all 120 trees on list A and B?
52
M2A.22
H=(M+45)/5
The equation above models the number of hours of music, H, Hank downloads M months after he purchases a new computer. Based on the equation above, which of the following must be true?
I. Hank downloads 1 hours of new music every 5 months
II. Hank downloads 12 minutes of new music every month
III. Hank had already downloaded 45 hours of music before he bought a new computer
I and II only
M2A. 16
The expression 5x2+bx+72, where b is a constant, can be rewritten as (rx+m)(x+p), where r, m, and p are integer constants. Which of the following must be an integer?
a) b/r
b) b/m
c) 72/r
d) 72/m
d) 72/m
M2A.20
A rug has an area of 16,129 square centimeters. What is the area, in square inches, of the rug? (1in = 2.54 cm)
a) 56
b) 127
c) 2,500
d) 6,350
C) 2,500
M2A.17
A shop earns $20 of profit for every $100 of revenue that it collects. The shop has earned $1,900 in profit so far, and the shop is making $280 in revenue each hour. What is the amount of profit, in dollars, that the shop has earned after h hours?
a) 1900 + 280h
b) 1900 + 56h
c) 1900 + 20h
d) 1900 + 2h
b) 1900 + 56h
M1.19