2025.3 US B

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

1

Jasmnin grows bean pods in her garden. This year, she harvested 480 bean pods and saved 10% of them to plant next year. How many of the harvested bean pods did Jasmin save to plant next year?

  1. A38
  2. B48
  3. C56
  4. D58
BProblem Solving and Data Analysis / Percents · Accuracy 97.89%
2

Which expression is equivalent to 7(x^2+6) ?

  1. A7x^2+42
  2. B7x^2+13
  3. C7x^2+6
  4. D7x^2+1
AAdvanced Math / Operations of polynomials · Accuracy 99.9%
3

The area of a rectangle is 108 square inches. The length of the longest side of the rectangle is 18 inches. What is the length, in inches, of the shortest side of this rectangle?

  1. A6
  2. B18
  3. C36
  4. D90
AGeometry and Trigonometry / General polygons · Accuracy 98.76%
4

A piece of a metal alloy called delta metal has a total mass of 200.0 grams. The equation c+z+3.6=200.0 relates the mass of copper c, in grams, and the mass of zinc z, in grams, in this piece of metal. If this piece of metal contains 110.0 grams of copper, how many grams of zinc does it contain?

  1. A86.4
  2. B90.0
  3. C110.0
  4. D196.4
AAlgebra / Linear equation word problem · Accuracy 99.38%
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5

Line j is shown in the xy-plane. Line k (not shown) is parallel to line j and passes through the point (0, 8). Which equation defines line k?

  1. Ay=2/5x+8
  2. By=2/5x-8
  3. Cy=5/2x+8
  4. Dy=5/2x-8
CAlgebra / Graphing linear equations · Accuracy 89.58%
6

In △JKL , the measures of both ∠J and ∠K are equal and the measure of ∠L is 124°. What is the measure of ∠J ?

  1. A28°
  2. B56°
  3. C62°
  4. D90°
AGeometry and Trigonometry / General triangle · Accuracy 99.07%
7

A marine biologist uses a linear model to estimate the weight of a blue whale after it is born. The model estimates that a certain blue whale weighs 5,910 pounds at birth and gains 10.0 pounds per hour, for 120 hours, after it is born. Based on this model, what is the estimated weight, in pounds, of this blue whale 7 hours after it is born?

5980Algebra / Linear functions word problem · Accuracy 95.33%
8

The ratio of the side length of square A to the side length of square B is 3 to 6. Square A has a side length of 23 inches. What is the side length, in inches, of square B?

46Problem Solving and Data Analysis / Ratios and proportion · Accuracy 98.44%
9

Which expression is NOT a factor of 37,500x^4-960 ?

  1. A25x^2+4
  2. B5x^2-2
  3. C5x+2
  4. D60
BAdvanced Math / Operations of polynomials · Accuracy 71.8%
10

b^2+6c=7d
The given equation relates the real numbers b, c, and d, where d>6/7c . Which equation correctly expresses b in terms of c and d?

  1. Ab=(7d-6c)/2
  2. Bb=(7d+6c)/2
  3. Cb=±√7d-6c
  4. Db=±√7d+6c
CAdvanced Math / Isolating quantities · Accuracy 98.85%
11

If 3(7x)=12 , what is the value of 7x ?

  1. A9/7
  2. B7/4
  3. C4
  4. D9
CAlgebra / Solve linear equation · Accuracy 99.06%
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12

For the exponential function g, the table shows four values of x and their corresponding values of g(x). Which equation defines g?

  1. Ag(x)=-27^x
  2. Bg(x)=-(1/27)^x
  3. Cg(x)=27^x
  4. Dg(x)=(1/27)^x
DAdvanced Math / Exponential word problems · Accuracy 98.12%
13

20.5x+25.75y=411
Odalys ordered mulch and river rock, which cost a total of $411, for her home. The given equation represents the relationship between the number of cubic yards of mulch, x, and the number of tons of river rock, y, Odalys ordered. How much more, in dollars, did a ton of river rock cost Odalys than a cubic yard of mulch?

5.25Algebra / Linear equation word problem · Accuracy 94.91%
14

A team of researchers plans to spend no more than 310 hours in total collecting observation data for two projects. For one of the projects, the team will observe at least 13 penguins and will spend 5 hours observing the behavior of each penguin. For the other project, the team will observe at least 16 seals and will spend 6 hours observing the behavior of each seal. Based on this plan, what is the maximum number of penguins the team can observe?

42Algebra / Linear inequality word problem · Accuracy 80.9%
15

(x+5)^2+(y+8)^2=15^2
In the xy-plane, the graph of the given equation is a circle. What is the length of a radius of this circle?

  1. A√15
  2. B15/2
  3. C15
  4. D15^2
CGeometry and Trigonometry / Circle equation · Accuracy 93.29%
16

x+21y=33
5x+3y=29
The solution to the given system of equations is (x, y). What is the value of y?

4/3,1.333Algebra / Solving systems of linear equations · Accuracy 87.04%
17

y<-4x+12
Which point (x, y) is a solution to the given inequality in the xy-plane?

  1. A(0,13)
  2. B(-1,17)
  3. C(-4,0)
  4. D(4,-1)
CAlgebra / Solve linear inequality · Accuracy 95.66%
image
18

The graph models the number of online newsletter subscribers at the end of every six-month period, where x is the number of six-month periods since the end of January 1992 and 0≤x≤4 . Which statement is the best interpretation of the point (1, 750) in this context?

  1. AThe estimated number of online newsletter subscribers at the end of the first six-month period was 750.
  2. BThe estimated number of online newsletter subscribers increased every six months by 750 subscribers.
  3. CThe estimated number of online newsletter subscribers at the end of January 1992 was 750.
  4. DThe estimated number of online newsletter subscribers at the end of January 1993 was 750.
AAccuracy 91.77%
19

ax-by=72 2ax-8y=48
2ax-8y=48
In the given system of equations, a and b are constants. The graphs of these equations in the xy-plane intersect at the point (x,6). What is the value of b?

  1. A-8
  2. B-4
  3. C4
  4. D6
BAlgebra / Solving systems of linear equations · Accuracy 90.84%
20

2∣3x-3∣=5
What is the sum of the solutions to the given equation?

2Algebra / Solve linear equation · Accuracy 91.78%
21

In right triangle ABC, side BC has a length of √799 . The hypotenuse, side AB has a length of 32. What is the value of sin B ?

15/32,0.469,0.468,.4688,.4687Geometry and Trigonometry / Trigonometric functions · Accuracy 91.16%
22

y=2x^2-12x+22
y+3=0
How many solutions are there to the given system of equations?

  1. AThere is exactly 1 solution.
  2. BThere are exactly 2 solutions.
  3. CThere are exactly 3 solutions.
  4. DThere are no solutions.
DAdvanced Math / linear and quadratic systems · Accuracy 92.77%

Module 2 (Advanced)

1

The function f is defined by f(x)=3x-1/5. What is the y-intercept of the graph of y=f(x) in the xy-plane?

  1. A(0,-1/5)
  2. B(0,-3)
  3. C(0,3)
  4. D(0,5)
AAlgebra / Graphing linear equations · Accuracy 97.91%
2

Which shaded region represents the solutions to the inequality y<-60x+10 ?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
BAlgebra / Solve linear inequality · Accuracy 89.91%
3

Antonia has $130 in an account. Each year she expects to have 2.5% more money in the account than she had the previous year. Which of the following models best describes how Antonia 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 96.12%
4

The measure of an angle is (51)(k/2)π radians, where k is a constant. What is the measure of this angle, in degrees?

  1. A(51)(k/300)
  2. B(51)(180k)
  3. C(51)(k/180)
  4. D(51)(90k)
DGeometry and Trigonometry / Angles and Arc length · Accuracy 94.79%
image
5

What is an equation of the graph shown?

  1. A7x-8y=189
  2. B8x-7y=189
  3. C49x-56y=189
  4. D56x-49y=189
CAlgebra / Graphing linear equations · Accuracy 91.65%
6

2x^2+2y^2+tx+ty-78=0
The given equation, where t is a positive constant, defines a circle in the xy-plane. The radius of this circle is √41 ,what is the value of t?

4Geometry and Trigonometry / Circle equation · Accuracy 77.16%
7

The function T(x)=(20,000-6.5x)/(1,000) gives the estimated air temperature T(x), in degrees Celsius (°C) , surrounding a hot air balloon at an altitude of x meters. If the estimated air temperature surrounding the hot air balloon is (15 °C)15°C, which of the following is closest to the altitude, in meters, of the hot air balloon?

  1. A20
  2. B769
  3. C1,333
  4. D5,385
BAlgebra / Linear functions word problem · Accuracy 93.55%
8

x^2-5x+3=0
What is one of the solutions to the given equation?

  1. A(5+√13)/2
  2. B(5+√37)/2
  3. C(-5+√13)/2
  4. D(-5+√37)/2
AAdvanced Math / Solving quadratic equations · Accuracy 93.69%
9

A right triangle has sides of length 3√2, 5√2 and √68 units. What is the area of the triangle, in square units?

  1. A8√2+√68
  2. B30√68
  3. C30
  4. D15
DGeometry and Trigonometry / General triangle · Accuracy 90.26%

For a school competition, each student in the sixth, seventh, and eighth grades is assigned to either the red team or the green team. The table shows the distribution of grade and team for the students in the school.

image
10

A student from the competition will be selected at random. What is the probability of selecting a student who is in the sixth or seventh grade, given that the student is on the green team? (Express your answer as a decimal or fraction, not as a percent.)

3/5,0.6Problem Solving and Data Analysis / Ratios and proportion · Accuracy 71.87%

The dot plots represent the distributions of values in data sets A and B.

image
11

Which of the following statements must be true?
Ⅰ. The median of data set A is equal to the median of data set B.
Ⅱ. The standard deviation of data set A is equal to the standard deviation of data set B.

  1. AⅠ and Ⅱ
  2. BⅠ only
  3. CⅡ only
  4. DNeither Ⅰ nor Ⅱ
  5. AⅠ and Ⅱ
  6. BⅠ only
  7. CⅡ only
  8. DNeither Ⅰ nor Ⅱ
BProblem Solving and Data Analysis / Mean, mode, median · Accuracy 89.0%
12

The function f is defined by f(x)=53(0.15)^x . For any positive integer n, the value of f(n) is p% less than the value of f(n-1). What is the value of p?

  1. A15
  2. B47
  3. C53
  4. D85
DAdvanced Math / Exponential word problems · Accuracy 87.24%
13

f(x)=(x-a)(x-b)
The function f is defined by the given equation, where a and b are integer constants. If f(17)>0,f(20)<0 and f(23)>0 , what is one possible value of a+b ?

38,39,40,41,42Advanced Math / Transform of quadratic expressions · Accuracy 91.15%
14

In a collection of items, 10% are red, 25% are green, 35% are blue, and 30% are yellow. If there are 40 green items, how many blue items are in the collection?

  1. A14
  2. B16
  3. C48
  4. D56
DProblem Solving and Data Analysis / Percents · Accuracy 93.49%
15

The number of bacteria in a growth medium is expected to increase by 170% every 2 hours during a period of observation. The number of bacteria in the growth medium was estimated to be 5,000 when the period of observation began. Which function P gives the expected number of bacteria in this growth medium t hours after the period of observation began?

  1. AP(t)=5,000(1.70)^(t/2)
  2. BP(t)=5,000(1.70)^2t
  3. CP(t)=5,000(2.70)^(t/2)
  4. DP(t)=5,000(2.70)^2t
CAdvanced Math / Exponential word problems · Accuracy 88.01%
16

The daily precipitation total at a weather station is recorded by a weather instrument each day. The daily precipitation total recorded on Monday was 19.00 millimeter. The daily precipitation total recorded on Tuesday was a 134.00% increase from the daily precipitation total recorded on Monday. What was the daily precipitation total, in millimeters, recorded on Tuesday?

  1. A8.12
  2. B14.18
  3. C25.46
  4. D44.46
DProblem Solving and Data Analysis / Percents · Accuracy 88.82%
17

√(x+23)^2=x+23
{cke_protected}%3Cmeta%20charset%3D%22UTF-8%22%20%2F%3EWhat is the least value of x that is a solution to the given equation?

  1. A23
  2. B-23
  3. C0
  4. D-22
BAdvanced Math / Radical and rational exponent problems · Accuracy 91.82%
18

One gallon of paint will cover 310 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?

  1. AP=w/155
  2. BP=620w
  3. CP=w/310
  4. DP=310w
AAlgebra / Linear functions word problem · Accuracy 79.73%
19

f(x)=3x^2+48x+193
The function g is defined by g(x)=f(x+7). What is the minimum value of g(x) ?

  1. A-15
  2. B-8
  3. C1
  4. D8
CAdvanced Math / Transform of quadratic expressions · Accuracy 75.0%
20

46z^18+bz^9+25
In the given expression, b is a positive integer. If qz^9+r is a factor of the expression, where q and r are positive integers, what is the greatest possible value of b?

1151Advanced Math / Transform of quadratic expressions · Accuracy 66.44%
21

The mass of object A is 498% of the mass of object B, and the mass of object A is 0.830% of the mass of object C. If the mass of object C is p% of the mass of object B, what is the value of p?

60000Problem Solving and Data Analysis / Percents · Accuracy 70.21%
22

r^2+qr=8r-97
In the given equation, q is an integer constant. The given equation has no real solution. What is the largest possible value of q?

27Advanced Math / Solving quadratic equations · Accuracy 76.33%