2024.6 B

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

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1

In the figure, line n intersects lines r and s. Line r is parallel to line s. What is the value of x ?

164Geometry and Trigonometry / Angles and Arc length · Accuracy 98.38%
2

During a portion of a flight, a small airplane's cruising speed varied between 175 miles per hour and 195 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour; during this portion of the flight?

  1. As≤20
  2. Bs≤175
  3. Cs≤195
  4. Ds<=20175≤s≤195
DAlgebra / Linear inequality word problem · Accuracy 99.61%
3

If 5x = 9, what is the value of 20x?

  1. A5
  2. B13
  3. C36
  4. D49
CAlgebra / Solve linear equation · Accuracy 99.84%
4

Which expression is equivalent to(x^3+9^()x^2^()-8x)+5(x^2+8) ?

  1. Ax^3+14x^2-8x+40
  2. Bx^3+9x^2-8x+40
  3. Cx^3+5x^2-8x+40
  4. Dx^3+8x^2-8x+40
AAdvanced Math / Operations of polynomials · Accuracy 99.69%
5

The function f is defined by f(x)=x^3+9 . What is the value of f (2)?

17Advanced Math / Manipulation of other expressions · Accuracy 99.3%
6

The function g is defined by g(x)=x/2 . For what value of x does g(x)=620 ?

1240Algebra / Solve linear equation · Accuracy 95.77%

The scatterplot shows the relationship between two variables, x and y.

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7

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

  1. Ay=0.8+8.7x
  2. By=0.8-8.7x
  3. Cy=8.7+0.8x
  4. Dy=8.7-0.8x
DProblem Solving and Data Analysis / Scatter Plot · Accuracy 98.19%
8

3x-2y=-18
For the given equation, which table gives three values of x and their corresponding values of y?

  1. A
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  2. B
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  3. C
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  4. D
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AAlgebra / Linear equation word problem · Accuracy 99.76%
9

A chemist combines water and isopropanol to make a mixture with a volume of 41 milliliters (mL). The volume of isopropanol in the mixture is 10 mL. What is the volume of water, in mL, in the mixture? (Assume that the volume of the mixture is the sum of the volumes of water and isopropanol before they were mixed.)

31Algebra / Linear functions word problem · Accuracy 99.05%
10

A clothing store buys shirts at a wholesale price of 4.00 dollars each and resells them each at a retail price that is 280% of the wholesale price. At the end of the season, any remaining shirts are marked at a discounted price that is 80% off the retail price. What is the discounted price of each remaining shirt, in dollars?

2.24Problem Solving and Data Analysis / Percents · Accuracy 68.54%
11

y=-1/4x
y=1/6x
The solution to the given system of equations is (x, y). What is the value of x?

  1. A-4
  2. B0
  3. C2
  4. D6
BAlgebra / Solving systems of linear equations · Accuracy 99.76%
12

PC=N(18-C)
The given equation relates the variables P, N, and C. Which expression represents the value of C for distinct positive values of P and N?

  1. A(C(N+P))/N
  2. BPC/(18-C)
  3. C18N/(N+P)
  4. D18N/(P+1)
CAdvanced Math / Isolating quantities · Accuracy 95.87%
13

A company has a customer loyalty program. In January 2018, there were 200 customers enrolled in the loyalty program. For the next 24 months after January 2018, the total number of customers enrolled in the loyalty program each month was 4% greater than the total number enrolled the previous month. Which equation gives the total number of customers, c, enrolled in the company's loyalty program m months after January 2018, where m≤24 ?

  1. Ac=200(0.04)^m
  2. Bc=200(1.04)^m
  3. Cc=200(1.4)^m
  4. Dc=200(4)^m
BAdvanced Math / Exponential word problems · Accuracy 99.28%
14

The function f(t)=8,000(2)^(t/300) gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

300Advanced Math / Exponential word problems · Accuracy 95.68%
15

y=2/9x+8
One of two equations in a system of linear equations is given. The system has infinitely many solutions. What is the slope of the graph of the second equation?

  1. A-9/2
  2. B-2/9
  3. C2/9
  4. D9/2
CAlgebra / Graphing linear equations · Accuracy 98.01%
16

If 3x^2-6x-30=0,what is the value ofx^2-2x?

  1. A10
  2. B3
  3. C2
  4. D0
AAdvanced Math / Transform of quadratic expressions · Accuracy 98.57%
17

The function f is defined by f(x)=(x-4)(x-11)(x+k) , where k is a constant. In the xy-plane, the graph of y=f(x) passes through the point(-2,0) . What is the value of f (0) ?

  1. A-156
  2. B-2
  3. C13
  4. D88
DAdvanced Math / Polynomial factors and graphs · Accuracy 97.7%
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18

Line k is shown in the xy-plane. Line j (not shown) is perpendicular to line k and passes through the point (-15,-28) . Which equation defines line j?

  1. Ay=4/3x-8
  2. By=4/3x-48
  3. Cy=3/4x-8
  4. Dy=3/4x-48
AAlgebra / Graphing linear equations · Accuracy 92.88%
19

In right triangle ABC, angles A and B are acute, side AC has a length of 23.2, andTanB=1/7 . What is the length of side BC, rounded to the nearest tenth?

  1. A538.2
  2. B162.4
  3. C4.8
  4. D3.3
BGeometry and Trigonometry / Trigonometric functions · Accuracy 93.92%
20

A rectangular banner has an area of 3,500 square inches. A copy of the banner is made in which the length and width of the original banner are each increased by 40%. What is the area of the copy, in square inches?

  1. A6,860
  2. B4,900
  3. C3,580
  4. D3,540
AGeometry and Trigonometry / Congruence and similarity · Accuracy 96.58%
21

f(x)=(x-1)^2+7
What is the minimum value of the given function?

  1. A1
  2. B6
  3. C7
  4. D8
CAdvanced Math / Nonlinear equation graphs · Accuracy 92.06%
22

Point F lies on a unit circle in the xy-plane and has coordinates (1,0) . Point G is the center of the circle and has coordinates (0,0). Point H also lies on the circle and has coordinates(-1,y) , where y is a constant. Which of the following could be the positive measure of angle FGH, in radians?

  1. A13π/2
  2. B15π/2
  3. C10π
  4. D11π
DGeometry and Trigonometry / Angles and Arc length · Accuracy 77.17%

Module 2 (Advanced)

1

An object's average acceleration, in meters per second squared, is the change in the object's speed, in meters per second, divided by the time during which the change occurred, in seconds. A certain object's speed changes by 45 meters per second in 6 seconds. What is this object's average acceleration, in meters per second squared, during this time period?

  1. A0.13
  2. B7.5
  3. C39
  4. D51
BAlgebra / Linear functions word problem · Accuracy 98.48%
2

x+26=y
(x+26)^2=y
A solution to the given system of equations is (x, y). What is a possible value of x?

  1. A-25
  2. B0
  3. C1
  4. D26
AAdvanced Math / linear and quadratic systems · Accuracy 97.86%
3

Lao walks at a speed of 2 miles per hour and runs at a speed of 6 miles per hour. He walksfor w hours and runs for r hours for a combined total of 10 miles. Which equation represents this situation?

  1. A2w+6r=10
  2. B1/2w+1/6r=10
  3. C2w+6r=80
  4. D1/2w+1/6r=80
AAlgebra / Linear equation word problem · Accuracy 98.26%
4

f(x)=50x+12
The given function f estimates the distance a train has traveled, in kilometers, from a station in a certain city x hours after crossing the city border. What is the best interpretation of 12 in this context?

  1. ABetween the station and the city border, the train traveled an estimated total distance of 12 kilometers.
  2. BAfter crossing the city border the train traveled at an estimated speed of 12 kilometers per hour.
  3. CAfter crossing the city border the train traveled an estimated total distance of 12 kilometers.
  4. DBetween the station and the city border, the train traveled at an estimated speed of 12 kilometers per hour.
AAlgebra / Interpreting linear equation · Accuracy 81.67%
5

1/3(x+7)-1/2(x+7)=-8
What value of x is the solution to the given equation?

  1. A-15
  2. B-7
  3. C41
  4. D132
CAlgebra / Solve linear equation · Accuracy 99.31%
6

The function g is defined byg(x)=4/9x-24. What is the x-coordinate of the x-intercept of the graph of y=g(x) in the xy-plane?

54Algebra / Graphing linear equations · Accuracy 97.47%
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7

Two students are playing a game. In the first round, Player 1 answers 49 questions. If an answer is correct, Player 1 earns 1 point. If an answer is incorrect, Player 2 will earn 1 point instead. The graph shows y=f(x) , where y is the number of points Player 2 will earn when x is the number of points Player 1 earns. Which of the following is the best interpretation of the point (49, 0) in this context?

  1. AWhen Player 1 earns 49 points, Player 2 will earn 49 points.
  2. BWhen Player 1 earns 49 points, Player 2 will earn 0 points.
  3. CWhen Player 1 earns 0 points, Player 2 will earn 49 points.
  4. DWhen Player 1 earns0 points, Player 2 will earn 0 points.
BProblem Solving and Data Analysis / Key feature of graphs · Accuracy 90.91%
8

Which expression is a factor of 3x^2-5x+6x-10?

  1. Ax-2
  2. Bx+5
  3. C3x-5
  4. D3x+2
CAdvanced Math / Transform of quadratic expressions · Accuracy 92.39%
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9

The graph shows the momentum y, in newton-seconds, of an object x seconds after the object started moving, for0≤x≤8. What is the average rate of change, in newton-seconds per second, in the momentum of the object from x=2 tox=6 ?

1.25,5/4Problem Solving and Data Analysis / Key feature of graphs · Accuracy 87.59%
10

(x+64)^2=-100
How many distinct real solutions does the given equation have?

  1. AExactly one
  2. BExactly two
  3. CInfinitely many
  4. DZero
DAdvanced Math / Solving quadratic equations · Accuracy 95.9%
11

|x-8| =11
What is the sum of the solutions to the given equation?

  1. A0
  2. B16
  3. C19
  4. D22
BAlgebra / Solve linear equation · Accuracy 95.56%
12

The manager of a gym selected a sample of 159 members at random to estimate the percentage of the gym's members that would continue to pay for a membership if the price increased. From the survey, the manager estimates that 88% of the gym's members would continue to pay for a membership if the price increased, with an associated margin of error of 5.05%. If the survey is repeated with a random sample of 318 members and the results are calculated in the same way, which of the following will be the most likely effect of using the larger random sample compared to the smaller random sample?

  1. AThe margin of error will be lower.
  2. BThe margin of error will be higher.
  3. CThe estimate of the percentage of the gym's members that would continue to pay for a membership if the price increased will be lower.
  4. DThe estimate of the percentage of the gym's members that would continue to pay for a membership if the price increased will be higher.
AProblem Solving and Data Analysis / Spread of distribution · Accuracy 85.93%

The maximum temperature on April 1. in degrees Fahrenheit (°F), was recorded each year at a certain weather station for 11 years. The histogram summarizes the recorded data set.

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13

The temperature of 76.2 °F is removed from this data set to create a new data set of 10 temperatures. Which of the following statements must be true?
I.The mean of the new data set is less than the mean of the original data set.
II.The median of the new data set is less than the median of the original data set.

  1. AI only
  2. BII only
  3. CI and II
  4. DNeither I nor II
AProblem Solving and Data Analysis / Histogram · Accuracy 78.65%
14

For the positive quantities h, j, and k, 44% of h is equivalent to 62% of j, and j is equivalent to 22% of k. What percentage of k is h? (Disregard the % sign when entering your answer. For example, if your answer is 39%, enter 39)

31Problem Solving and Data Analysis / Percents · Accuracy 81.64%
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15

The graph shows the relationship between the number of shares of stock from Company A, x , and the number of shares of stock from Company B, y, that Sayen can purchase. Which equation could represent this relationship?

  1. Ay=10x+18
  2. B10x+18y=900
  3. Cy=18x+10
  4. D18x+10y=900
BAlgebra / Graphing linear equations · Accuracy 94.25%
16

For the exponential function f , the value of f(1) is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?

  1. Af(x)=35(1.2)^(x+1)
  2. Bf(x)=42(1.2)^x
  3. Cf(x)=50.4(1.2)^(x-1)
  4. Df(x)=60.48(1.2)^(x-2)
CAdvanced Math / Exponential word problems · Accuracy 89.81%
17

In triangle PQR, the measure of angle P is(4x+9)°, the measure of angle Q is(5x+4)°,and the measure of angle R is(5y+4)°. If side QR is extended through point R to point S, and the measure of angle PRS is (x+y)° , what is the value of x+y?

31Algebra / Systems of linear equations word problem · Accuracy 80.67%
18

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 5 and 9, which inequality represents the possible lengths, x, of the third side of the triangle?

  1. Ax<14
  2. Bx>14
  3. C4<x<14
  4. Dx<4 orx>14
CGeometry and Trigonometry / General triangle · Accuracy 82.38%
19

A right circular cone has a volume of 34,496π cubic centimeters and the area of its base is 3,136π square centimeters. What is the slant height, in centimeters, of this cone?

  1. A11
  2. B33
  3. C56
  4. D65
DGeometry and Trigonometry / Volume · Accuracy 56.41%
20

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. According to the model, the object was launched from a height of 0 feet and reached its maximum height of 400 feet 5 seconds after it was launched. Based on the model, what was the height. in feet, of the object 9 seconds after it was launched?

144Advanced Math / Quadratic word problems · Accuracy 72.18%
21

The cost of renting a power washer is $56 for the first day and $28 for each additional day. Which of the following functions gives the cost C(d), in dollars, of renting the power washer for d days, where d is a positive integer?

  1. AC(d)=28d+28
  2. BC(d)=28d+56
  3. CC(d)=56d-28
  4. DC(d)=56d+84
AAlgebra / Linear functions word problem · Accuracy 90.81%
22

The function ff is defined byf(x)=ax^2+bx+c , where a, b, and c are constants. The graph of y=f(x) in the xy-plane passes through the points (8,0) and(-5,0). If a is an integer greater than 1, which of the following could be the value of a+b?

  1. A4
  2. B3
  3. C-2
  4. D-4
DAdvanced Math / Transform of quadratic expressions · Accuracy 69.78%