Equations of Lines
Algebra pt 1
Algebra pt 2
Problem Solving and Data Analysis
Triangles
100
The number of voters, V, registered T days after a voters' drive began which can be estimated by the equation V = 3,450 + 65T. What is the best interpretation of the number 65 in this context?
A) The number of registered voters at the beginning of the registration drive
B) The number of registered voters at the end of the registration drive
C) The total number of voters registered during the drive
D) The number of voters registered each day during the drive
D) The number of voters registered each day during the drive.
100
7n−(4n−3)
Which of the following is equivalent to the expression above?
(A: 3n+3)
(B: 3n-3)
(C: 11n+3)
(D: 11n-3)
(A: 3n+3)
100
In a random sample of 50 West High School students, 14 students have a pet. If 500 students attend West High School, which of the following is the best estimate of the number of West High school students who have a pet?
A. 36
B. 50
C. 140
D. 464
E. 240
C. 140
100
A bird traveled 72 miles in 6 hours flying at constant speed. At this rate, how many miles did the bird travel in 5 hours?
60 miles
100
What is the length of EF in the figure above?
EF = 7
200
If line ℓ is translated up 5 units and right 7 units, then what is the slope of the new line?
A) 2/5 B)-3/2 C)-8/9 D) -11/14
B)
-3/2
200
When 4 times a number x is added to 12, the result is 8. What number results when 2 times x is added to 7?
5
200
Which of the following numbers is NOT a solution of the inequality
3x-5> 4x-3
A. -1
B. -2
C. -3
D. -5
A. -1
200
Scientists estimate that the Pacific Plate, one of Earth’s tectonic plates, has moved about 1,060 kilometers in the past 10.3 million years. About how far, in miles, has the Pacific Plate moved during this same time period? (Use 1 mile = 1.6 kilometers.)
A) 165
B) 398
C) 663
D) 1,696
(1 mi)/(1.6 km ) = x/(1060 km )
x= 663
200
In the figure above, BE is parallel to CD.
What is the length of BE?
BE = 3
300
The graph of line k is shown in the xy-plane above. Which of the following is
an equation of a line that is perpendicular to line k?
A) y = −2x + 1
B) y= -1/2x+2
C) y= 1/2x+3
D) y = 2x + 4
C) y= 1/2x+3
300
If 5x+5=10, what is the value of 10x+3?
13
300
The arithmetic mean of x, 5x, and 6x is 8, what is the value of x?
A)2
B)4
C)6
D)10
What is A)2
300
At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age m of the combined group of male and female primates at the primate reserve?
A) m = 17
B) m > 17
C) m < 17
D) 15 < m < 19
D) 15 < m < 19
D is correct because the combined mean must be between the two separate means.
Choice A is incorrect because this answer makes an unjustified assumption that there are an equal number of male and female primates.
300
In the figure above, line segments AF and BE are perpendicular and intersect at point C. Angle B is congruent to angle E, and the measure of angle A is 55, degrees. What is the measure, in degrees, of angle E ?
35 degrees
400
The graph of which of the following functions in the xy-plane has x-intercepts at −4 and 5?
A) f(x) = (x + 4)(x − 5)
B) g(x)= (x − 4)(x + 5)
C) h (x) = (x − 4)^2 + 5
D) k (x) = (x + 5)^2− 4
A) f(x) = (x + 4)(x − 5)
400
−2x = 4y + 6
2(2y + 3) = 3x − 5
What is the solution (x, y) to the system of equations above?
A) (1, 2)
B) (1, −2)
C) (−1, −1)
D) (−1, 1)
B) (1, −2)
Tip: Plug in answer choices
400
x+y=0 AND 3x-y=10 What is x?
2.5 or 5/2
400
On an architect’s drawing of the floor plan for a house, 1 inch represents 3 feet. If a room is represented on the floor plan by a rectangle that has sides of lengths 3.5 inches and 5 inches, what is the actual floor area of the room, in square feet?
A) 17.5
B) 51.0
C) 52.5
D) 157.5
D) 157.5
400
Intersecting lines p, q, and r are shown above. What is the value of x?
x = 115
500
x-12=sqrt(x+44)
What are all possible solutions to the given equation? A) 5
B) 20
C) −5 and 20
D) 5 and 20
Tip: Plug in answer choices
B) 20
500
If
2/(a-1)=4/y
, and y ≠ 0 where a ≠ 1, what is y in terms of a?
A) y = 2a − 2
B) y = 2a − 4
C) y = 2a −1/2
D) y = 1/2a+1
A) y = 2a − 2
500
In 2014, County X had 783 miles of paved roads. Starting in 2015, the county has been building 8 miles of new paved roads each year. At this rate, if n is the number of years after 2014, which of the following functions f gives the number of miles of paved road there will be in County X? (Assume that no paved roads go out of service.)
A) f (n) = 8 + 783n
B) f (n) = 2,014 + 783n
C) f (n) = 783 + 8n
D) f (n) = 2,014 + 8n
C) f (n) = 783 + 8n
500
On Thursday, 240 adults and children attended a show. The ratio of adults to children was 5 to 1. How many children attended the show?
A) 40
B) 48
C) 192
D) 200
A) 40
Of every 6 people who attended the show, 5 were adults and 1 was a child. 5/6 of the 240 who attended were adults and of the 240 who attended were adults and 1/6 were children. Therefore,
1/6*240=40
children attended the show.
500
What is the value of a and b?
a = 73 and b = 62