2024.11 US A

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

1

If 6x=60, what is the value of 7x+3?

  1. A73
  2. B63
  3. C55
  4. D45
AAlgebra / Solve linear equation · Accuracy 99.77%
2

The function j is defined by j(x)=x/8. What is the value of j(48)?

  1. A48
  2. B40
  3. C8
  4. D6
DAlgebra / Linear functions word problem · Accuracy 99.31%
3

k(x)=-1/2x^2+8x+20
The function k gives the estimated number of students in a school organization x years after the organization was established, where 0≤x≤10. Which statement is the best interpretation of k(4) = 44?

  1. AIt is estimated there were 4 students in the school organization when it was established.
  2. BIt is estimated there were 44 students in the school organization when it was established.
  3. CIt is estimated there were 44 students in the school organization 4 years after it was established.
  4. DIt is estimated there were 44 students in the school organization 10 years after it was established.
CAdvanced Math / Interpreting nonlinear expressions · Accuracy 99.39%
4

The function t(x)=-3x+74 gives the estimated temperature, in degrees Fahrenheit, of a town x hours after 6 p.m., where 0≤x≤5. What is the best interpretation of -3 in this context?

  1. AThe estimated temperature decreases 3 degrees Fahrenheit each hour.
  2. BThe estimated temperature decreases 7474 degrees Fahrenheit each hour.
  3. CAt 6 p.m., the estimated temperature is --3 degrees Fahrenheit.
  4. DAt 6 p.m., the estimated temperature is 5 degrees Fahrenheit.
AAlgebra / Interpreting linear equation · Accuracy 98.01%

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

image
5

Which of the following best describes the function f?

  1. AIncreasing linear
  2. BDecreasing linear
  3. CIncreasing exponential
  4. DDecreasing exponential
CProblem Solving and Data Analysis / Exponential growth · Accuracy 99.16%
6

Which expression is equivalent to 10x^2+130?

  1. A10(13x^2)
  2. B10(x^2+13)
  3. C130(10x^2)
  4. D130(10x^2+1)
BAdvanced Math / Operations of polynomials · Accuracy 99.62%
7

An event planner is planning an ice-skating event. It costs the event planner a onetime fee of $30 to rent the skating rink and $10.25 per attendee. The event planner has a budget of $250. What is the greatest number of attendees possible without exceeding the budget?

21Algebra / Linear inequality word problem · Accuracy 94.36%
8

The function f is defined by f(x)=4√x. For what value of x does f(x)=28?

  1. A4
  2. B7
  3. C16
  4. D49
DAdvanced Math / Radical and rational exponent problems · Accuracy 99.23%
9

Triangle PQR is similar to triangle STU, where P, Q, aSTUnd R correspond to S, T, and U, respectively. In triangle PQR, the length of PQ is 6 and the length of QR is 24. In triangle STU, the length of ST is 8. What is the length of overlineTUTU?

  1. A8
  2. B14
  3. C32
  4. D48
CGeometry and Trigonometry / Congruence and similarity · Accuracy 99.07%
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10

The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?

  1. Ay=-7/25x^2
    y=-7/5x
  2. By=-7/25x^2
    y=7/5x
  3. Cy=7/25x^2
    y=-7/5x
  4. Dy=7/25x^2
    y=7/5x
DAdvanced Math / linear and quadratic systems · Accuracy 98.08%
11

The function f is defined by f(x)=4^(x-2)+8. What is the value of f(2)?

9Advanced Math / Exponential word problems · Accuracy 95.86%
12

If the graph of 12x+22y=132 is shifted down 4 units in the xy-plane, what is the y-intercept of the resulting graph?

  1. A(0,2)
  2. B(0,7)
  3. C(0,10)
  4. D(0,18)
AAlgebra / Graphing linear equations · Accuracy 95.89%
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13

The table shows three values of x and their corresponding values of j(x) for exponential function j. When the graph of y=j(x) in the xy-plane is shifted up 20 units, the resulting graph is defined by function h. Which table gives three values of x and their corresponding values of h(x)?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
BAdvanced Math / Exponential word problems · Accuracy 97.69%
14

A landscaping company mixes oil with gasoline to power its tools. A chainsaw requires 8 ounces of oil per gallon of gasoline. A lawnmower requires 4 ounces of oil per gallon of gasoline. The company uses a total of 21 ounces of oil in its mixes for the chainsaw and lawnmower. Which of the following equations represents this situation, where x represents the amount of gasoline, in gallons, in the mix for the chainsaw and y represents the amount of gasoline, in gallons, in the mix for the lawnmower?

  1. A2(x+2y)=21
  2. B2(2x+y)=21
  3. C4(x+2y)=21
  4. D4(2x+y)=21
DAlgebra / Linear equation word problem · Accuracy 94.92%
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15

What is the value of cos B in the right triangle shown?

0.6,3/5Geometry and Trigonometry / Trigonometric functions · Accuracy 86.08%
16

Rectangles ABCD and EFGH are similar. The length of each side of rectangle EFGH is 7 times the length of the corresponding side of rectangle ABCD. The area of rectangle ABCDEFGH is 68 square units. What is the area of rectangle EFGH, in square units?

3332Geometry and Trigonometry / Congruence and similarity · Accuracy 96.33%
17

18 is 10% of what number?

  1. A28
  2. B100
  3. C162
  4. D180
DProblem Solving and Data Analysis / Percents · Accuracy 99.77%
18

h(t)=-16t^2+b
The function h estimates an object's height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 2.56 feet above the ground when it is dropped at t = 0. How many seconds after being dropped does the function estimate the object will hit the ground?

0.4,2/5Advanced Math / Quadratic word problems · Accuracy 94.8%
19

The measure of angle S is 8π/13 radians. The measure of angle T is 3 times the measure of angle S. Which expression represents the measure, in degrees, of angle T?

  1. A8/13(90)(3)
  2. B8/13(180)(3)
  3. C8/13π(90)(3)
  4. D8π/13(180)(3)
BGeometry and Trigonometry / Angles and Arc length · Accuracy 91.21%
20

(x-7)/5+(y+8)/4=0
3x+4y=0
The solution to the given system of equations is (x, y). What is the value of x + y?

  1. A-12
  2. B-5
  3. C-4
  4. D12
AAlgebra / Solving systems of linear equations · Accuracy 95.03%
21

Each of the following frequency tables represents a data set. Which data set has the greatest mean?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
AProblem Solving and Data Analysis / Mean, mode, median · Accuracy 89.98%
22

Jackson mows lawns in the summer. When Jackson mows a lawn with a fence he charges $1.03 per minute. When Jackson mows a lawn without a fence, he charges $0.56 per minute. Jackson spends a total of 15 hours mowing lawns with and without a fence in a week and charges a total of $701.40 for mowing lawns during that week. How many minutes does Jackson spend mowing lawns with a fence during that week?

420Algebra / Systems of linear equations word problem · Accuracy 91.86%

Module 2 (Advanced)

1

For the linear function g, the graph of y=g(x) in the xy-plane has a slope of 5 and passes through the point (2, 47). Which equation defines g?

  1. Ag(x)=37x
  2. Bg(x)=37x+5
  3. Cg(x)=5x
  4. Dg(x)=5x+37
DAlgebra / Graphing linear equations · Accuracy 99.23%

The table gives the number of hours, h, of labor and a plumber's total charge f(h), in dollars, for two different jobs.

image
2

There is a linear relationship between hand f(h). Which equation represents this relationship?

  1. Af(h)=85h+55
  2. Bf(h)=55h+85
  3. Cf(h)=110h+30
  4. Df(h)=30h+110
BAlgebra / Linear functions word problem · Accuracy 97.25%

The table shows the frequency of values in a data set.

image
3

What is the minimum value of the data set?

  1. A1
  2. B7
  3. C20
  4. D44
CProblem Solving and Data Analysis / Table Data · Accuracy 96.92%
4

Exactly how many x-intercepts does the graph of f(x)=x(x-10)^2(x-11)^3 have in the xy-plane, where y=f(x)?

  1. A0
  2. B1
  3. C2
  4. D3
DAdvanced Math / Polynomial factors and graphs · Accuracy 93.97%
5

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 73.55%
6

In triangle RST, the measure of angle R is 29 degrees. Which statement provides sufficient information to prove that triangle RST is isosceles?

  1. AThe measure of angle S is 151 degrees.
  2. BThe measure of angle S is 61 degrees.
  3. CThe measure of angle S is 58 degrees.
  4. DThe measure of angle S is 29 degrees.
DGeometry and Trigonometry / General triangle · Accuracy 96.35%
7

Ifa=6k+5r and b=9k-12r+3, which expression is equivalent to a-b?

  1. A-3k+17r-3
  2. B-3k+17r+3
  3. C-3k-7r+3
  4. D-3k-7r-3
AAdvanced Math / Operations of polynomials · Accuracy 95.63%
8

x^2-49/16=0
How many distinct real solutions does the given equation have?

  1. AZero
  2. BExactly one
  3. CExactly two
  4. DInfinitely many
CAdvanced Math / Solving quadratic equations · Accuracy 96.49%
9

y>-7/2x+17
For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
AAlgebra / Solve linear inequality · Accuracy 91.03%
10

A polygonal chain is a connected series of line segments whose length is defined as the sum of the lengths of the line segments it is made of. A polygonal chain with a length of 33 centimeters (cm) is extended by adding line segments that each have a length of 8-r cm. Which function f represents the total length, in cm, of the extended polygonal chain after x line segments are added?

  1. Af(x)=33(8-r)+x
  2. Bf(x)=8x-rx+33
  3. Cf(x)=8x-r+33
  4. Df(x)=(41-r)x
BAlgebra / Linear functions word problem · Accuracy 94.03%
11

If 9/6(x-5)-36=7/6(x-5)+28, what is the value of x-5?

192Algebra / Solve linear equation · Accuracy 93.77%
12

A chemist combines 30 grams of compound A, 45 grams of compound B, and x grams of compound C. The resulting mixture has a mass of 135 grams. What is the value of x?

  1. A15
  2. B30
  3. C45
  4. D60
DAlgebra / Linear equation word problem · Accuracy 99.08%
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13

Line k is shown in the xy-plane. Line j(not shown) is perpendicular to line k and passes through the point (19, 23). What is the y-coordinate of the y-intercept of line j?

39/5,7.8Algebra / Graphing linear equations · Accuracy 72.06%
14

For a study, a group of chipmunks will be selected from a habitat consisting of 220 chipmunks, and a group of prairie dogs will be selected from a habitat consisting of 190 prairie dogs. Some of the chipmunks and prairie dogs will be in a treatment group, and some of the chipmunks and prairie dogs will be in a control group. Which of the following is necessary for this study to attempt to establish a cause-and-effect relationship between two variables?

  1. AThe number of chipmunks in the treatment group is equal to the number of prairie dogs in the treatment group, and the number of chipmunks in the control group is equal to the number of prairie dogs in the control group.
  2. BThe chipmunks and the prairie dogs are randomly assigned to the treatment and control groups.
  3. CThe chipmunks and the prairie dogs are randomly selected from their respective habitats.
  4. DThe average age of the chipmunks in the treatment group is equal to the average age of the prairie dogs in the treatment group, and the average age of the chipmunks in the control group is equal to the average age of the prairie dogs in the control group.
BProblem Solving and Data Analysis / Sample and conclusion · Accuracy 62.59%
15

A certain investment account offers a special interest rate for the first 4 months the account is open followed by a lower interest rate for the remainder of the time the account is open. Akeyla opened one of these accounts with an original account balance of $700.00 and did not make any other deposits or withdrawals. 4 months after Akeyla opened the account, the balance had increased by 0.6% of the original balance. 6 months after Akeyla opened the account, the balance had increased by an additional 0.1% of the balance at the end of the first 4 months. Every 2 months after the first 6 months, the balance had increased by an additional 0.1% of the balance 2 months before. Which of the following equations could represent the account balance B(x), in dollars, x months after the account was opened, where x≥4?

  1. AB(x)=704.20(1.001)^((x-4)/2)
  2. BB(x)=700.00(1.001)^((x-4)/2)
  3. CB(x)=704.20(1.001)^(2(x-4))
  4. DB(x)=700.00(1.001)^(2(x-4))
AAdvanced Math / Exponential word problems · Accuracy 83.67%
16

As the size of a firework's shell increases, the height above the ground when the firework bursts increases. For a firework to burst l,075 feet above the ground, a firework's shell in the shape of a sphere with a volume of 542.68 cubic inches could be used. To the nearest whole number, what is the volume of this firework's shell in cubic centimeters? (1 inch = 2.54 centimeters)

8893Problem Solving and Data Analysis / Units · Accuracy 74.29%
17

√(x+15)^2=x+15
What is the least value of x that is a solution to the given equation?

  1. A-16
  2. B-15
  3. C0
  4. D15
BAdvanced Math / Radical and rational exponent problems · Accuracy 89.07%
18

The function f is defined by f(x)=a^x-b, where a and b are constants. In the xy-plane, the graph of y=f(x) passes through the points (c, 7) and (2c, 117), where c is a constant. Which of the following could be the value of b?

  1. A4
  2. B117
  3. C110
  4. D124
AAdvanced Math / Exponential word problems · Accuracy 81.83%
19

4/5x+6/5y=g
8/13x+hy=k
In the given system of equations, g, h, and k are constants. The system has infinitely many solutions. What is the value of g/k?

13/10,1.3Algebra / Solving systems of linear equations · Accuracy 74.43%
20

34z^18+bz^9+30
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?

1021Advanced Math / Transform of quadratic expressions · Accuracy 63.54%
21

A right rectangular prism has a base area of 16t square centimeters (cm²). The length of the base of the rectangular prism is 8/3 cm, and the height of the rectangular prism is 9 cm. Which expression represents the surface area, in cm², of the right rectangular prism?

  1. A32t+96
  2. B140t+48
  3. C800t+48
  4. D144t
BGeometry and Trigonometry / Volume · Accuracy 73.69%
22

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 68.46%