2025.10 US A (Easy Math)

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

1

A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launched. The model estimates that the object was launched from an initial height of 0.00 feet above the ground and was at a maximum height of 207.36 feet above the ground 3.6 seconds after it was launched. The model also estimates that the object was at a height of 184.32 feet above the ground x seconds after it was launched. What is a possible value of x?

2.4,4.8Advanced Math / Quadratic word problems
2

The function h is defined by h(x)=5(9x-10). What is the value of h(10) ?

  1. A400
  2. B10
  3. C50
  4. D90
AAlgebra / Linear functions word problem
3

A pet service that takes care of both cats and dogs can care for at most 43 animals. Which inequality represents this situation, where c is the number of cats and d is the number of dogs?

  1. Ac-d≤43
  2. Bc-d≥43
  3. Cc+d≥43
  4. Dc+d≤43
DAlgebra / Linear inequality word problem
4

9x+17=9x+k
In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?

17Algebra / Solve linear equation
5

The y-intercept of the graph of y=6(1.85)^x in the xy-plane is (0,y). What is the value of y?

6Advanced Math / Nonlinear equation graphs
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6

The graph of the linear function f is shown, where y=f(x). What is the slope of the graph of f?

  1. A1/6
  2. B-7
  3. C-1/6
  4. D7
AAlgebra / Graphing linear equations
7

A triathlon is a multisport race consisting of three different legs. A triathlon participant completed the cycling leg with an average speed of 17.700 miles per hour. What was the average speed, in yards per hour, of the participant during the cycling leg?
(1 mile = 1,760 yards)

31152Problem Solving and Data Analysis / Units
8

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C corresponds to angle F. Angles C and F are right angles . If tan A=612/35 , what is the value of sin D?

  1. A612/613
  2. B35/613
  3. C613/612
  4. D613/35
AGeometry and Trigonometry / Congruence and similarity
9

The function A(b)=7b^2 gives the area of a right triangle, in square centimeters (cm²), if the length of its base is b cm and the length of its height is 14 times the length of its base. Which of the following is the best interpretation of A(18)=2,268?

  1. AIf the length of the base of the triangle is 2,268 cm, then the length of the height of the triangle is 18 cm.
  2. BIf the length of the base of the triangle is 18 cm, then the length of the height of the triangle is 2,268 cm.
  3. CIf the length of the base of the triangle is 18 cm, then the area of the triangle is 2,268 cm².
  4. DIf the length of the base of the triangle is 2,268 cm, then the area of the triangle is 18 cm².
CAdvanced Math / Quadratic word problems
10

-4(v-9)(v-2)(v+7)=0
What value of v is a solution to the given equation?

  1. A-2
  2. B7
  3. C9
  4. D-4
CAdvanced Math / Polynomial factors and graphs
11

Circle K has a radius of 8 millimeters (mm). Circle L has an area of 144π mm² . What is the total area, in mm2 , of circles K and L?

  1. A40π
  2. B20π
  3. C80π
  4. D208π
DGeometry and Trigonometry / Circle theorems
12

x^2+49x+1=0
What is one of the solutions to the given equation?

  1. A(-49+√(49)^2-4(1)(1))/(2(1))
  2. B(-49+√(49)^2-4(49)(49))/(2(49))
  3. C(-1+√(1)^2-4(1)(49))/(2(1))
  4. D(-1+√(1)^2-4(49)(1))/(2(49))
AAdvanced Math / Solving quadratic equations
13

A model estimates that the initial number of photons in an X-ray beam is 800 when the beam reaches the surface of a certain material. The model also estimates that when the beam passes through this material, the number of photons in the beam decreases by 50% for each 7 millimeters of the material the beam passes through. Which equation represents this model, where I is the estimated number of photons in the beam when the beam reaches a point x millimeters from the surface?

  1. AI=800(7)^(x/2)
  2. BI=800(0.5)^x
  3. CI=800(2)^(x/7)
  4. DI=800(0.5)^(x/7)
DAdvanced Math / Exponential word problems
14

In the xy-plane, line k passes through the points (3, 0) and (0, 5). Which of the following is an equation of line k?

  1. A3x-5y=15
  2. B5x+3y=15
  3. C3x+5y=15
  4. D5x-3y=15
BAlgebra / Graphing linear equations
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15

In right triangle ABC shown, what is the measure of ∠C?

  1. A124°
  2. B146°
  3. C56°
  4. D34°
DGeometry and Trigonometry / Right triangle
16

x+4y=-3
4x-y=22
The solution to the given system of equations is (x,y). What is the value of 3x-5y?

25Algebra / Solving systems of linear equations
17

A circle in the xy-plane has its center at (−4, 1) and the point (−8, 4) lies on the circle. Which equation represents this circle?

  1. A(x-4)^2+(y+1)^2=5
  2. B(x+4)^2+(y-1)^2=25
  3. C(x-4)^2+(y+1)^2=25
  4. D(x+4)^2+(y-1)^2=5
BGeometry and Trigonometry / Circle equation
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18

In the figure, lines r and s are parallel and line t intersects both lines. If a=4k+57 and b=k/4+55, what is the value of c?

121Geometry and Trigonometry / Angles and Arc length
19

0.5x+1.2y=9
1.5x+3.6y=27
How many solutions does the given system of equations have?

  1. AInfinitely many
  2. BExactly two
  3. CExactly one
  4. DZero
AAlgebra / Solving systems of linear equations
20

For a study, a research team measured the heights of 380 king penguins from the Kerguelen Islands and 190 king penguins from the Falkland Islands. The research team determined that the mean height of the 380 king penguins from the Kerguelen Islands was 87 centimeters and the mean height of the 190 king penguins from the Falkland Islands was 93 centimeters. What was the mean height, in centimeters, of all 570 king penguins the research team measured for this study?

  1. A91
  2. B89
  3. C90
  4. D88
BProblem Solving and Data Analysis / Mean, mode, median
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21

Which of the following equations is the most appropriate model for the data shown in the scatterplot?

  1. Ay=24(1.55)^x
  2. By=24(1.55)^x+18
  3. Cy=(1.55)^x+23
  4. Dy=6(1.55)^x+18
DProblem Solving and Data Analysis / Scatter Plot
22

18qrt-2qrs+10rst=0
In the given equation, q, r, s, and t are positive, and q/t is greater than 5. Which expression is equivalent to s?

  1. A(-9qt)/(q-5t)
  2. B9qt/(q-5t)
  3. C18qrt
  4. D2qt/(q-5t)
BAdvanced Math / Isolating quantities

Module 2 (Foundation)

1

y>-36
Which shaded region represents the solutions to the given inequality?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
BAlgebra / Solve linear inequality
2

A chemist combines 25 grams of compound A, 35 grams of compound B, and x grams of compound C. The resulting mixture has a mass of 125 grams. What is the value of x?

  1. A25
  2. B65
  3. C35
  4. D10
BAlgebra / Linear equation word problem
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3

The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution (x,y) to this system?

  1. A(-4,0)
  2. B(5,4)
  3. C(0,0)
  4. D(-2,3)
DAdvanced Math / Nonlinear equation graphs
4

Carmen needs at least 100 signatures to submit a petition. If Carmen already has 51 signatures, what is the minimum number of additional signatures Carmen needs to submit the petition?

  1. A41
  2. B151
  3. C49
  4. D51
CAlgebra / Linear inequality word problem
5

There are a total of 340 seats in a school auditorium. During an assembly, students occupied 50% of the seats in the auditorium. How many seats did the students occupy during this assembly?

  1. A290
  2. B25
  3. C170
  4. D50
CProblem Solving and Data Analysis / Percents
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6

The graph of the polynomial function f, where y=f(x), is shown. The y-intercept of the graph is (0,y). What is the value of y?

5Advanced Math / Nonlinear equation graphs
7

If 5c=15, what is the value of 5c-8?

  1. A3
  2. B67
  3. C7
  4. D23
CAlgebra / Solve linear equation
8

The ratio of k to p is constant. If k=7, then p=6. What is the value of k when p=336?

  1. A288
  2. B56
  3. C48
  4. D392
DProblem Solving and Data Analysis / Ratios and proportion

Each of 185 animals can be classified as one of three species, as shown in the frequency table.

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9

If one of the animals is selected at random, what is the probability of selecting an animal of species Y?

  1. A70/185
  2. B3/185
  3. C182/185
  4. D112/185
BProblem Solving and Data Analysis / Ratios and proportion

For certain air temperatures, the table gives wind chill temperatures for two different wind speeds.

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10

According to the table, what is the wind chill temperature, in degrees Fahrenheit , when the air temperature is 29°F and the wind speed is 15 miles per hour (mph)? (Disregard the degree symbol when entering your answer.

18Problem Solving and Data Analysis / Table Data
11

In a right triangle, the measure of one of the acute angles is 14°. What is the measure of the other acute angle, in degrees? (Disregard the degree symbol when entering your answer.)

76Geometry and Trigonometry / Right triangle
12

Which expression is a factor of 3x^2+57x+15 ?

  1. A3x^2
  2. B5x
  3. C3
  4. D57x
CAdvanced Math / Polynomial factors and graphs
13

A city has an area of x square miles and a population density of 1,035 people per square mile. The suburb adjacent to the city has an area of y square miles and a population density of 535 people per square mile. The combined population of the city and the suburb adjacent to the city is 13,165 people. Which equation represents this situation?

  1. A1,035x+535y=13,165
  2. B1,035x+535=13,165y
  3. C1,035x+535=1,570y
  4. D1,035x+535y=1,570
AAlgebra / Linear equation word problem
14

A triangle has a base length of 48 centimeters and a height of 96 centimeters. What is the area, in square centimeters, of the triangle?

  1. A2,304
  2. B1,152
  3. C4,608
  4. D144
AGeometry and Trigonometry / General triangle
15

The function f(x)=-40x+340 gives the predicted height above the ground f(x), in feet, of a model airplane x minutes after it begins to descend. What is the predicted height above the ground, in feet, of the model airplane 3 minutes after it begins to descend?

  1. A120
  2. B220
  3. C300
  4. D460
BAlgebra / Linear functions word problem
16

5a=(4b^2)/a-20a
The given equation relates the positive variables a and b. Which equation correctly expresses a in terms of b?

  1. Aa=4b/25
  2. Ba=(4b^2)/25
  3. Ca=2b/5
  4. Da=(2b^2)/5
CAdvanced Math / Isolating quantities
17

Charles saves 3/5 of the $225 he earns each week from his summer job. If Charles continues to save at this rate, how much money, in dollars, will Charles save in 3 weeks?

405Problem Solving and Data Analysis / Ratios and proportion
18

The function f is defined by f(x)=2x^3+1/3x^2-x. What is the value of f(1)?

  1. A4/3
  2. B2
  3. C10/3
  4. D6
AAdvanced Math / Function notations and transforms
19

In the xy-plane, what is the slope of the line that passes through the points (0, 0) and (13, 14)?

  1. A13
  2. B14/13
  3. C13/14
  4. D14
BAlgebra / Graphing linear equations
20

Function f is defined as f(x)=(2x-5)^2, and function g is defined as g(x)=2(2x+7). Which of the following is equivalent to f(x)+g(x) ?

  1. A4x^2-16x+11
  2. B4x^2-16x+39
  3. C4x^2-6x+39
  4. D4x^2+24x+11
BAdvanced Math / Operations of polynomials
21

15x^2=15(9)
What is the negative solution to the given equation?

-3Advanced Math / Solving quadratic equations
22

The function f is defined by f(x)=a(4)^x, where a is a positive constant. In the xy-plane, the graph of y=f(x) passes through the point (0, 13). What is the value of f(0)?

  1. A4
  2. B1
  3. C13
  4. D9
CAdvanced Math / Exponential word problems