2025.3 International A

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

The cost y, in dollars, for a manufacturer to make x rings is represented by the line shown.

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1

What is the cost, in dollars, for the manufacturer to make 50 rings?

  1. A100
  2. B125
  3. C175
  4. D225
CAlgebra / Graphing linear equations · Accuracy 97.99%
2

Which expression is equivalent to 9(x^2+6) ?

  1. A9x^2+3
  2. B9x^2+6
  3. C9x^2+15
  4. D9x^2+54
DAdvanced Math / Operations of polynomials · Accuracy 99.41%
3

The solution to a system of linear equations is (5, 5). Which of the following could be the graph of the equations in the system?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
DAlgebra / Solving systems of linear equations · Accuracy 97.38%
4

7x+21=7x+k
In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k ?

21Algebra / Solve linear equation · Accuracy 99.13%
5

The function f is defined by f(x)=2x-1/4. What is the y-intercept of the graph of y=f(x) in the xy-plane?

  1. A(0,-1/4)
  2. B(0,-2)
  3. C(0,2)
  4. D(0,4)
AAlgebra / Graphing linear equations · Accuracy 99.21%
6

The list gives the mass, in grams, of 5 ruffed lemurs.
3,810; 3,810; 3,530; 3,850; 3,550
What is the mean mass, in grams, of these 5 ruffed lemurs?

3710Problem Solving and Data Analysis / Mean, mode, median · Accuracy 91.48%
7

The price of an object increased from $16 to $80. What was the percent increase in the price of the object?

  1. A20%
  2. B64%
  3. C80%
  4. D400%
DProblem Solving and Data Analysis / Percents · Accuracy 95.28%
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8

In the figure shown, triangle CAEis similar to triangle CBD. The measure of angle CBD is 59°, and AE=28(BD).What is the measure of angle CAE ?

  1. A(28∙59)°
  2. B(28+59)°
  3. C59°
  4. D28°
CGeometry and Trigonometry / Congruence and similarity · Accuracy 98.5%
9

A student needs at least 190 signatures from classmates to run for class president. The student collects 30 signatures on Monday and collects enough additional signatures on Tuesday to run for class president. Which inequality represents the number of additional signatures, s, that the student collects on Tuesday?

  1. As+30≤190
  2. Bs+30≥190
  3. Cs-30≤190
  4. Ds-30≥190
BAlgebra / Linear inequality word problem · Accuracy 95.94%
10

Which expression is equivalent to 7x^6-14x^2 , where x>0 ?

  1. A7(x^3-2x^2)^2
  2. Bx^2(7x-2)^4
  3. C7x^2(x-2)^4
  4. D7x^2(x^4-2)
DAdvanced Math / Operations of polynomials · Accuracy 98.5%
11

A chemist performed an experiment using a set of beakers that can each be modeled by a right circular cylinder with a height of 53 millimeters. The equation y=53πx^2 gives the volume y, in cubic millimeters, of the right circular cylinder that models a beaker in this set, where x is the radius, in millimeters, of the base of the cylinder. Which graph best represents this equation in the xy-plane?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
AAdvanced Math / Nonlinear equation graphs · Accuracy 91.46%
12

8x^2+13x=6
What is the positive solution to the given equation?

3/8,0.375,.375Advanced Math / Solving quadratic equations · Accuracy 92.65%
13

Harper has $110 in an account. Each year she expects to have 2.7% more money in the account than she had the previous year. Which of the following models best describes how Harper expects the money in her account to change over time?

  1. ADecreasing exponential
  2. BDecreasing linear
  3. CIncreasing exponential
  4. DIncreasing linear
CProblem Solving and Data Analysis / Exponential growth · Accuracy 94.27%
14

In right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The value of sin(R) is(2√10)/7. What is the value ofcos(S)?

  1. A(3√10)/20
  2. B(2√10)/7
  3. C(7√10)/20
  4. D(2√10)/3
BGeometry and Trigonometry / Trigonometric functions · Accuracy 95.27%
15

Line t is defined by y=-1/2x+14 . Line s is perpendicular to line t in the xy-plane. What is the slope of line s?

  1. A14
  2. B2
  3. C1/2
  4. D1/14
BAlgebra / Graphing linear equations · Accuracy 95.25%
16

f(x)=8(2)^(x/4)
Which table gives four values of x and their corresponding values of f(x) for the given exponential function?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
BAdvanced Math / Exponential word problems · Accuracy 94.7%
17

The measure of angle C is 3π/4 radians. What is the value of cos(C)?

  1. A-(√2)/2
  2. B-1/2
  3. C(√2)/2
  4. D(√3)/2
AGeometry and Trigonometry / Trigonometric functions · Accuracy 89.6%
18

7y=-6x+2,170
24x-28y=1,400
The solution to the given system of equations is (x,y). What is the value of x+y ?

340Algebra / Solving systems of linear equations · Accuracy 90.7%
19

A researcher observes a sample of a nuclide. An exponential model estimates that the mass, in grams, of the sample decreases by 23% every 11.69 minutes. Which of the following equations could represent this model, where M is the estimated mass, in grams, of the sample t minutes after the researcher began observing the sample?

  1. AM=100(0.77)^(t/11.69)
  2. BM=100(0.77)^(t+11.69)
  3. CM=100(0.23)^(t/11.69)
  4. DM=100(0.23)^(t+11.69)
AAdvanced Math / Exponential word problems · Accuracy 94.14%
20

-4∣5x+4∣+2=-14
What are all solutions to the given equation?

  1. A0
  2. B0 and-1/5
  3. C0 and-8/5
  4. DThere is no solution.
CAlgebra / Solve linear equation · Accuracy 91.45%
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21

For the right circular cone shown. B is a point on the circumference of the base, and the length of segment AB (not shown) is 84 centimeters. If the height of the cone is 42 centimeters and the volume of the cone is kπ cubic centimeters, what is the value of k?

74088Geometry and Trigonometry / Volume · Accuracy 82.07%
22

A sphere has a volume of 247.00 cubic yards. What is the volume of the sphere, in cubic meters? (Use 1 yard = 0.914 meter.)

188.6Problem Solving and Data Analysis / Units · Accuracy 63.47%

Module 2 (Advanced)

1

y=3x+13
y=3x^2+13
Which ordered pair (x, y) is a solution to the given system of equations?

  1. A(0,0)
  2. B(0,13)
  3. C(26,91)
  4. D(26,169)
BAdvanced Math / linear and quadratic systems · Accuracy 94.01%
2

A certain elephant calf weighed 226 pounds when it was born. The elephant calf gained an average of 3 pounds per day in its first year of life. Which equation models this situation, where y is the estimated weight of the elephant calf, in pounds, x days after it was born?

  1. Ay=226+3x
  2. By=226-3x
  3. Cy=3+226x
  4. Dy=3-226x
AAlgebra / Linear functions word problem · Accuracy 98.92%
3

Audrey's hair will grow at a constant rate from a length of 7 inches to a length of 11 inches. The equation 0.6t+7=11 describes this situation, where t is the number of months it will take for Audrey's hair to reach a length of 11 inches. Which of the following is the best interpretation of 0.6 in this context?

  1. AThe time, in months, it will take Audrey's hair to grow 1 inch
  2. BThe length, in inches, Audrey's hair will grow each month
  3. CThe time, in months, it will take Audrey's hair to reach a length of 11 inches
  4. DThe length, in inches, Audrey's hair will grow in 11 months
BAlgebra / Interpreting linear equation · Accuracy 95.56%
4

A rectangle has a length that is 31 times its width. The function y=(31w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y>0 . Which of the following is the best interpretation of 31w in this context?

  1. AThe length of the rectangle, in feet
  2. BThe area of the rectangle, in square feet
  3. CThe difference between the length and the width of the rectangle, in feet
  4. DThe width of the rectangle, in feet
AAdvanced Math / Interpreting nonlinear expressions · Accuracy 96.92%
5

Which of the following expressions is equivalent to 11x^10-11x^9+77x ?

  1. Ax(10x^10-10x^9+76x)
  2. Bx(11^10-11^9+77)
  3. C11x(x^10-x^9+7x)
  4. D11x(x^9-x^8+7)
DAdvanced Math / Operations of polynomials · Accuracy 97.38%
6

For x>0, the function f is defined as follows:
f(x) equals 293% of x
Which of the following could describe this function?

  1. ADecreasing exponential
  2. BDecreasing linear
  3. CIncreasing exponential
  4. DIncreasing linear
DProblem Solving and Data Analysis / Linear growth · Accuracy 88.89%
7

At a convention center, there are a total of 225 visitors. Each visitor is located in either room A, room B, or room C. If one of these visitors is selected at random, the probability of selecting a visitor who is located in room A is 0.72, and the probability of selecting a visitor who is located in room B is 0.24. How many visitors are located in room C?

  1. A4
  2. B9
  3. C39
  4. D108
BProblem Solving and Data Analysis / Ratios and proportion · Accuracy 97.88%
8

f(x)=5(g(x))-3
g(x)=∣12x-7∣
The functions f and g are defined by the given equations. What is the value of f(-10)?

  1. A-53
  2. B127
  3. C632
  4. D643
CAdvanced Math / Function notations and transforms · Accuracy 97.35%
9

In right triangle ABC, angles A and B are acute, side AC has a length of 28.2, and tan B=1/3. What is the length of side BC rounded to the nearest tenth?

  1. A795.2
  2. B84.6
  3. C9.4
  4. D5.3
BGeometry and Trigonometry / Trigonometric functions · Accuracy 92.39%
10

If 16-5(3-7x)=4-6(3-7x),what is the value of 3-7x ?

-12Algebra / Solve linear equation · Accuracy 91.3%
11

For the linear function p, p(c)=-5, where c is a constant, p(3)=23 and the slope of the graph of y=p(x) in the xy-plane is 7. For the linear function t, t(c)=-6 and t(4)=34 . What is the slope of the graph of y=t(x) in the xy-plane?

  1. A-1
  2. B2
  3. C7
  4. D8
DAlgebra / Linear functions word problem · Accuracy 92.62%
12

The positive number a is 2,136% of the sum of the positive numbers b and c, and b is 89% of c. What percent of b is a?

  1. A4,536%
  2. B2,400%
  3. C40.37%
  4. D22.25%
AProblem Solving and Data Analysis / Percents · Accuracy 85.81%
13

F(x)=9/5(x-273.15)+32
The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 7.70 kelvins. By how much did the temperature increase, in degrees Fahrenheit?

13.86Algebra / Linear functions word problem · Accuracy 78.36%
14

The function f is a quadratic function. In the xy-plane, the graph of y=f(x)has a vertex at (1,4) and passes through the points (2,27) and (-1,96). What is the value of f(-2)-f(0)?

  1. A73
  2. B119
  3. C184
  4. D211
CAdvanced Math / Quadratic word problems · Accuracy 89.72%
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15

The table shows three values of x and their corresponding values of y, where s is a constant. There is a linear relationship between x and y. Which of the following equations represents this relationship?

  1. Asx+5y=18s
  2. B5x+sy=18s
  3. C5x+sy=18
  4. Dsx+5y=18
BAlgebra / Linear equation word problem · Accuracy 80.13%
16

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of 7 and 10, which inequality represents the possible lengths, x, of the third side of the triangle?

  1. Ax<17
  2. Bx>17
  3. C3<x<17
  4. Dx<3 orx>17
CGeometry and Trigonometry / General triangle · Accuracy 80.96%
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17

The graph of y=f(x)+4 is shown. Which equation defines function f ?

  1. Af(x)=-6^x+1
  2. Bf(x)=-6^x+5
  3. Cf(x)=-6^x+8
  4. Df(x)=-6^x+9
BAdvanced Math / Nonlinear equation graphs · Accuracy 62.66%
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18

In the figure, LQ intersects MP at point R, and LM is parallel to PQ. The lengths of MR and RP are 8 and 14 units, respectively. The area of △LMR is 36 square units. What is the area of △PQR, in square units?

  1. A576/49
  2. B144/7
  3. C63
  4. D441/4
DGeometry and Trigonometry / Congruence and similarity · Accuracy 74.02%
19

The function g is defined by g(x)=3x. For what value of x is g(x)=12?

4Algebra / Linear functions word problem · Accuracy 99.02%
20

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 59 square centimeters (cm²), and the surface area of right rectangular prism Y is 1,475 cm². The volume of right rectangular prism Y is 1,500 cubic centimeters (cm³). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?

1512Geometry and Trigonometry / Congruence and similarity · Accuracy 68.88%
21

The function f is defined byf(x)=ab^(x/n) , where a, b, and n are constants, and b and n are integers, if f(3)=6 and f(5)=150, what is the value of f(6) ?

750Advanced Math / Exponential word problems · Accuracy 75.03%
22

24x^2-(12a+2b)x+ab=0
In the given equation, a and b are positive constants. The sum of the solutions to the given equation is k(6a+b), where k is a constant. What is the value of k?

1/12,.0833Advanced Math / Solving quadratic equations · Accuracy 73.15%