SAT Math (Algebra)
If 2(x-5)+3(x-5)=10, what is the value of x-5 ?
2
The function f(x) is defined by f(x)=x3+9. What is the value of f(2) ?
17
If f(x)=x+5 and g(x)=2x, what is f(g(3)) ?
11
2x(8x+1)=32, what is the value of x?
A. 1/4
B. 1/8
C. 1/2
D. 1
C. 1/2
A line passes through the points (4,6), (15,24) and in the xy-plane. What is the slope of the line?
1.636 or 18/11
The surface area of a cube is 6(a/4)2, where a is a positive constant. Which of the following gives the perimeter of one face of the cube?
A. a/4
B. a
C. 4a
D. 6a
B. a
A linear function f satisfies f(2)=5 and f(6)=−3. Find an explicit expression for f(x).
f(x)=-2x+9
A certain college had 3,000 students enrolled in 2015. The college predicts that after 2015, the number of students enrolled each year will be 2% less than the number of students enrolled the year before. Which of the following functions models the relationship between the number of students enrolled, f(x), and the number of years after 2015, x ?
A. f(x)=0.02(3000)x
B. f(x)=0.98(3000)x
C. f(x)=3000(0.02)x
D. f(x)=3000(0.98)x
D. f(x)=3000(0.98)x
The function f is defined by f(x)=mx+b , where m and b are constants. If f(0)=18, f(1)=20, what is the value of m ?
2
f(x)=x2-18x+360
If the given function f is graphed in the xy-plane, where y=f(x) , what is an x-intercept of the graph?
A. (-12,0)
B. (-30,0)
C. (-360,0)
D. (12,0)
A. (-12,0)
The graph of the function f(x) = |x| is shifted 2 units to the right and 3 units down.
What is the equation of the new function?
A) f(x)=∣x+2∣−3
B) f(x)=∣x−2∣−3
C) f(x)=∣x−2∣+3
D) f(x)=∣x+2∣+3
B) f(x)=∣x−2∣−3
N(d)=115(0.90)d
The function N defined above can be used to model the number of species of brachiopods at various ocean depths d, where d is in hundreds of meters. Which of the following does the model predict?
A. For every increase in depth by 1 meter, the number of brachiopod species decreases by 115.
B. For every increase in depth by 1 meter, the number of brachiopod species decreases by 10%.
C. For every increase in depth by 100 meters, the number of brachiopod species decreases by 115.
D. For every increase in depth by 100 meters, the number of brachiopod species decreases by 10%.
D
How many liters of a 25% saline solution must be added to 3 liters of a 10% saline solution to obtain a 15% saline solution?
A)2
B)1.5
C)2.5
D)3
B) 1.5
f(Ө)= -0.28(Ө-27)2+880
An engineer wanted to identify the best angle for a cooling fan in an engine in order to get the greatest airflow. The engineer discovered that the function f(Ө) above models the airflow , in cubic feet per minute, as a function of the angle of the fan , in degrees. According to the model, what angle, in degrees, gives the greatest airflow?
A. –0.28
B. 0.28
C. 27
D. 880
C.27
Let f(x)=2x+3 and g(x)=square root/x+1. What is the domain of (g(f(x))?
[-2;&[
According to Moore’s law, the number of transistors included on microprocessors doubles every 2 years. In 1985, a microprocessor was introduced that had 275,000 transistors. Based on this information, in which of the following years does Moore’s law estimate the number of transistors to reach 1.1 million?
A. 1987
B. 1989
C. 1991
D. 1994
B. 1989
For groups of 25 or more people, a museum charges 21 $ per person for the first 25 people and 14$ for each additional person. Which function f(n) gives the total charge, in dollars, for a tour group with people, where n>=25
A) f(n)= 14n+175
B) f(n)= 14n+525
C) f(n)= 35n-350
D) f(n)= 14n+21
C)0.8
D)1.0
A. f(n)= 14n+75
When the quadratic function f(x) is graphed in the xy-plane, where y=f(x) , its vertex is (-3,6). One of the x-intercepts of this graph is (-17/4, 0). What is the other x-intercept of the graph?
A. (-29/4, 0)
B. (-7/4, 0)
C. (5/4, 0)
D. (17/4, 0)
B. (-7/4, 0)
The function f(x)=ax2+bx+c has a vertex at (3,−2), and passes through the point (4,0).Which one is the function?
A. f(x)=2(x−3)2−2
B. f(x)=2(x+3)2−2
C. f(x)=(x+3)2+2
D. f(x)=(x-3)2-2
A. f(x)=2(x−3)2−2
The function h is defined by h(x)=ax+b , where a and b are positive constants. The graph of y=h(x) in the -plane passes through the points (0,10 ) and (-2, 325/36). What is the value of ab ?
A. 1/4
B. 1/2
C. 54
D. 60
C. 54