Linear Functions
Nonlinear Functions
Geometry
Data Analysis
Problem Solving (More Difficult)
100
The graph below models the possible combinations of the length, x, in feet, and the height, y, in feet, of a rectangle whose perimeter is 12 feet.
Which statement gives the best interpretation of the point (1,5) in this context?
A. The length is 1 foot less than the perimeter, and the width is 5 feet less than the perimeter.
B. The width is 1 foot less than the perimeter, and the length is 5 feet less than the perimeter.
C. The length is 1 foot, and the width is 5 feet.
D. The width is 1 foot, and the length is 5 feet.
C. The length is 1 foot, and the width is 5 feet.
100
The function f is defined by f(x)=10^{9x-5}. What is the value of x when g(x)=1000?
A. frac{5}{9}
B. frac{8}{9}
C. 2
D. 3
B. frac{8}{9}
100
In the figure below, what is the value of tan(90°-x°)?
1
100
Each of the dots in the scatterplot represents the height, x, in feet, for the high jump, and the distance, y, in feet, for the long jump, made by each student in a group of 20. The graph of which equation most closely models the data?
A. y=0.82x+3.30
B. y=0.82x-0.82
C. y=3.30x+0.82
D. y=3.30x-3.30
C. y=3.30x+0.82
100
Which of the following is(are) a factor of 3x^2-17x-56?
I. x+8
II. 3x+7
A. I only
B. II only
C. I and II
D. Neither I nor II
B. II only
200
The function g is defined by g(x)=3x-p(x+2), where p is a constant, and g(6)=-5. What is the value of g(22)?
-3
200
The product of two positive integers is 286. The larger integer is twice the difference of the smaller integer and 2. What is the sum of the two integers?
35
200
A sphere has a radius of frac{12}{7} cm. What is the volume of the sphere in cubic cm?
A. frac{7pi}{12}
B. frac{144pi}{7}
C. frac{1728pi}(343}
D. frac{2304pi}{343}
D. frac{2304pi}{343}
200
The scatterplot below shows data for ten charities, as well as a line of best fit. For the charity with the greatest total income, what is the closest to the difference between the predicted percent and actual percent of total expenses spent on programs?
A. 1%
B. 3%
C. 5%
D. 7%
B. 3%
200
root[4]{29n}(root[7]{29n})^11
For what value of x is the above expression equivalent to root[3]{(29n)^{85x}}, where n>1?
frac{9}{140}
300
The function h is defined by h(x)=7x+42. The graph of y=h(x) in the xy-plane has an x-intercept at (p,0) and a y-intercept at (0,q). What is the value of p+q?
36
300
For the quadratic function f, the table shows three values of x and their corresponding function evaluations. Which equation defines f?
A. f(x)=-19x^2+8x+32
B. f(x)=2x^2-17x+32
C. f(x)=4x^2-15x+32
D. f(x)=5x^2-14x+32
C. f(x)=4x^2-15x+32
300
Triangle XYZ is similar to triangle ABC, where the given vertices correspond respectively. The length of overline{AB} is 19 and the length of overline{BC} is 95. The length of overline{YZ} is 15. What is the length of overline{XY}?
A. 91
B. 75
C. 15
D. 3
D. 3
300
A certain town has 4,103 registered voters who indicated that they will vote in the next mayoral election. A random sample of 373 voters were asked if they would vote for Candidate A or Candidate B for mayor. Their results were sorted by gender and are given in the table below.
Assuming all 4,103 registered voters do vote in the mayoral election, what is the best estimate of the number of voters who plan to vote for Candidate A?
2101
300
The expression frac{1}{3}x^2-2 can be rewritten as frac{1}{3}(x-k)(x+k), where k is a positive constant. What is the value of k^2?
6
400
A cargo helicopter delivers only 100 pound packages and 120 pound packages. For each delivery trip, the helicopter must deliver at least 10 packages, but the total weight of the packages must not exceed 1100 pounds.
What is the minimum number of 100 pound packages that must be carried on each trip?
A. 2
B. 3
C. 4
D. 5
D. 5
400
N(x)=112(0.91)^{x}
The function N defined above can be used to estimate the number of species of brachiopods found in the ocean at depths of x, where x is measured in hundreds of meters below the ocean's surface.
Which of the following accurately describes what the model predicts?
A. For every increase in depth by 1 meter, the number of brachiopod species decreases by 21.
B. For every increase in depth by 1 meter, the number of brachiopod species decreases by 9%.
C. For every increase in depth by 100 meters, the number of brachiopod species decreases by 91.
D. For every increase in depth by 100 meters, the number of brachiopod species decreases by 9%.
D. For every increase in depth by 100 meters, the number of brachiopod species decreases by 9%.
400
A right triangle's perimeter is 154 inches. The hypotenuse of the triangle is 65 inches. If the area of the triangle is 924 square inches, how much greater is the longer leg of the right triangle, in inches, than the shorter leg?
23
400
Two investments are made as shown in the table below. The interest in Account A is compounded once per year. Which of the following statements is true?
A. Account A always earns more per year than Account B.
B. Account B always earns more per year than Account A.
C. Account A earns more money per year than Account B at first,
but eventually Account B will earn more per year.
D. Account B earns more money per year than Account A at first,
but eventually Account A will earn more per year.
A. Account A always earns more per year than Account B.
400
The expression
frac{44x+287}{x(x+41)}
is equivalent to
frac{k}{x}+frac{m}{x+41}
where k and m are constants.
What is the value of m?
37
500
In the xy-plane, line t passes through the point (3,4) and is perpendicular to the line represented by the equation 5x+2y=10. If line t also passes through the point (17,c), what is the value of c?
9.6
500
f(x)=frac{1+4a}{x}+10
In the given function f, a is a constant.
The graph of y=f(x) in the xy-plane is translated 2 units to the right and 5 units down to produce the graph of y=g(x).
Which equation defines g?
A. f(x)=frac{1+4a}{x+2}+5
B. f(x)=frac{1+4a}{x-2}+5
C. f(x)=frac{1+4a}{x-2}+10
D. f(x)=frac{1+4a}{x+2}+10
B. f(x)=frac{1+4a}{x-2}+5
500
In the figure provided, triangleABC is congruent to triangleBDE. If r=37 and s=22.12, then what is the exact distance between points A and E?
A. 37.12
B. 39.88
C. 43.11
D. 44.24
B. 39.88
500
The weights of 44 yellowfin tuna caught off the coast of Baja California are recorded, and the weights of 22 Pacific bluefin tuna caught in the same area are recorded. The mean weight of the yellowfin tuna was 51 pounds, and the mean weight of the Pacific bluefin tuna was 135 pounds.
What is the mean weight of all 66 tuna caught and recorded in this situation?
A. 73
B. 79
C. 93
D. 107
B. 79
500
The expression 6x^4+31x^2+35 can be rewritten as (3x^2+a)(2x^2+b), where a and b are positive integers, or as (3x^2+c)(2x^2+d), where c and d are positive nonintegers. What is the value of a+c?
15.5 or 31/2