2024.3 B

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

The scatterplot show's the relationship between two variables, x and y. A line of best fit is also shown.

image
1

Which of the following equations best represents the line of best fit shown?

  1. Ay=2.6+1.9x
  2. By=2.6-1.9x
  3. Cy=-2.6+1.9x
  4. Dy=-2.6-1.9x
AProblem Solving and Data Analysis / Scatter Plot
2

2x-3y=4
x=8
What is the solution (x, y) to the given system of equations?

  1. A(8, 4)
  2. B(8, -9)
  3. C(8, -4)
  4. D(8, 9)
AAlgebra / Solving systems of linear equations
3

What value of x is the solution to the equation 8x+ 56 = 36x?

  1. A-2
  2. B2/11
  3. C1/2
  4. D2
DAlgebra / Solve linear equation
4

If 4(x+3)=3(x+3)+ 56, what is the value ofx+ 3?

  1. A-3
  2. B53
  3. C56
  4. D59
CAlgebra / Solve linear equation
5

The function f is defined by f(x)=7/10x+63 . What is the value of f (20)?

77Algebra / Linear functions word problem
6

The function f is defined by f(x)=2+√x . What is the value of f (100)?

  1. A0
  2. B12
  3. C27
  4. D52
BAdvanced Math / Radical and rational exponent problems
7

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 17°. What is the measure, in degrees, of angle F?

73Geometry and Trigonometry / Congruence and similarity
8

At a convention center, there are a total of 250 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 0.44, and the probability of selecting a visitor who is located in room B is 0.32. How many visitors are located in room C?

  1. A24
  2. B30
  3. C35
  4. D60
DProblem Solving and Data Analysis / Ratios and proportion
9

g(m)= -0.05m+12.4
The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles, According to the model, about how many gallons of gasoline are used to drive each mile?

  1. A0.05
  2. B12.4
  3. C20
  4. D248.0
AAlgebra / Interpreting linear equation
10

What is the center of the circle in the xy-plane defined by the equation(x-4)^2+(y+3)^2=16 ?

  1. A(-4, 3)
  2. B(-4, -3)
  3. C(4, -3)
  4. D(4, 3)
CGeometry and Trigonometry / Circle equation
11

f(x)=3,000(0.75)^x
A conservation scientist implemented a program to reduce a certain invasive insect population in an area. The given function estimates this insect species' population x years after 2008, where x≤ 8. Which of the following is the best interpretation of 3,000 in this context?

  1. AThe estimated percent decrease in the insect population for this species and area every 8 years after 2008
  2. BThe estimated percent decrease in the insect population for this species and area each year after 2008
  3. CThe estimated insect population for this species and area 8 years after 2008
  4. DThe estimated initial insect population for this species and area in 2008
DAdvanced Math / Interpreting nonlinear expressions
12

Line r is defined by the equation 4x-9y= 5. Line s is parallel to line r in the xy-plane. What is the slope of line s?

  1. A-9
  2. B-4
  3. C4/9
  4. D9/4
CAlgebra / Graphing linear equations
13

The cost to rent a bus from Company X is $950 for the first 3 hours and an additional $50 per hour for each hour after the first 3 hours. If the total cost to rent the bus from Company X for t hours, where t > 3, is $1,100, which equation represents this situation?

  1. A950(t-3)+50t=1,100
  2. B950(3t)+ 50t =1,100
  3. C950+50(t-3)=1,100
  4. D950+50(3t)=1,100
CAlgebra / Linear equation word problem
14

y=-1/4x^2+x+29
The given equation models a company's active projects over 6 months, where y is the estimated number of active projects x months after the end of April 2013, where 0≤x≤6 . Which statement is the best interpretation of the y-intercept of the graph of this equation in the xy-plane?

  1. AAt the end of April 2013, the estimated number of active projects was 0.
  2. BAt the end of April 2013, the estimated number of active projects was 29.
  3. CAt the end of May 2013, the estimated number of active projects was 0.
  4. DAt the end of May 2013, the estimated number of active projects was 29.
BAdvanced Math / Interpreting nonlinear expressions
15

22.5x+ 26.75y=242
Odalys ordered mulch and river rock, which cost a total of $242, 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?

4.25,17/4Algebra / Interpreting linear equation
16

A hemisphere is half of a sphere. If a hemisphere has a radius of 86 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?

  1. A15,500
  2. B62,000
  3. C999,100
  4. D1,332,200
DGeometry and Trigonometry / Volume
17

An object is kicked from a platform. The equation h=-4.9t^2+5t+12 represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

  1. A0
  2. B4.9
  3. C5
  4. D12
DAdvanced Math / Quadratic word problems
18

In ΔABC, ∠B is a right angle and the length of BC is 260 millimeters. If cos A = 3/5, what is the length. in millimeters, of AB ?

  1. A325
  2. B260
  3. C195
  4. D65
CGeometry and Trigonometry / Trigonometric functions
19

In a certain state, the population of pheasants, a type of bird, is estimated each year by counting the number of pheasants observed along certain roads in the state. On average, each year from 2005 to 2015 the number of pheasants counted per mile of road decreased by 3.5% of the number of pheasants per mile of road the previous year. Based on this average, if there were 6.29 pheasants per mile of road in this state in 2005, which of the following best approximates the number of pheasants per mile of road in 2015?

  1. A0.965(6.29)^10
  2. B1.035(6.29)^10
  3. C6.29(0.035)^10
  4. D6.29(0.965)^10
DAdvanced Math / Exponential word problems
20

To study fluctuations in leaf water potential, samples of wood were taken from 24 trees and cut in the shape of a cube. The length of the edge of one of these cubes is 2.00 centimeters. If this cube has a mass of 4.48 grams, what is the density of this cube, in grams per cubic centimeter?

0.56,.56,14/25Geometry and Trigonometry / Volume
image
21

The table shows two values of x and their corresponding values of y. The graph of the linear equation representing this relationship passes through the point (1/3, a), What is the value of a?

76/3,25.33Algebra / Linear equation word problem
22

Which system of linear equations has no solution?

  1. A-7x+8y=-3
    7x-8y=3
  2. B7x-8y=3
    8x+9y=4
  3. C7x-8y=3
    -21x+24y=-9
  4. D-7x+8y=3
    14x-16y=6
DAlgebra / Solving systems of linear equations

Module 2 (Advanced)

1

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

  1. A16
  2. B11x^2+9
  3. C7x^2-9
  4. D7x^2+9
DAdvanced Math / Operations of polynomials
image
2

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

  1. Ay=-3x
    y=x^2+6
  2. By=-3x
    y=x^2-6
  3. Cy=3x
    y=x^2+6
  4. Dy=3x
    y=x^2-6
DAdvanced Math / linear and quadratic systems
3

In triangle ABC, the measure of angle A is 31°, the measure of angle B is 90°, and the measure of angle C is (k/2)° . What is the value of k?

  1. A45
  2. B59
  3. C62
  4. D118
DGeometry and Trigonometry / Right triangle
image
4

The table shows the linear relationship between the number of cars, c, on a commuter train and the maximum number of passengers and crew, p, that the train can carry. Which equation represents the linear relationship between c and p?

  1. A35c-p=-6
  2. B35c-p=6
  3. C35p-c=-6
  4. D35p-c=6
AAlgebra / Linear equation word problem
5

g(x)=5(16x -17)
What is the y-coordinate of the y-intercept of the graph of y = g(x) - 5 in the xy-plane?

  1. A-90
  2. B-85
  3. C-22
  4. D-17
AAlgebra / Graphing linear equations
6

At the start of an experiment, the pressure inside a container was 18 pounds per square inch (psi). The pressure inside the container doubled every 29 minutes after the start of the experiment. Which equation represents this situation, where y is the pressure, in psi, inside the container x minutes after the start of the experiment?

  1. Ay=18(2)^(x/29)
  2. By=18(29)^2x
  3. Cy=18(x+29)^2
  4. Dy=18x^2+29
AAdvanced Math / Exponential word problems
7

|x-8|+72=88
What is the sum of the solutions to the given equation?

16Algebra / Solve linear equation
8

What is the y-intercept ofy=-(8)^x-38 in the xy-plane?

  1. A(0, -39)
  2. B(0, -37)
  3. C(0, -38)
  4. D(0, -46)
AAdvanced Math / Nonlinear equation graphs
9

x^2+9x+6=0
One solution to the given equation can be written asx=(-9+√k)/2 , where k is a constant. What is the value of k?

57Advanced Math / Solving quadratic equations
image
10

A data set of the orbital periods, rounded to the nearest whole number of Earth days, for 13 of Jupiter's moons is represented in the dot plot. An additional moon with an orbital period of 621 days is added to the original data set to create a new data set of 14 orbital periods. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?

  1. AThe mean of the new data set is equal to the mean of the original data set, and the median of the new data set is equal to the median of the original data set.
  2. BThe mean of the new data set is equal to the mean of the original data set, and the median of the new data set is less than the median of the original data set.
  3. CThe mean of the new data set is less than the mean of the original data set, and the median of the new data set is less than the median of the original data set.
  4. DThe mean of the new data set is less than the mean of the original data set, and the median of the new data set is equal to the median of the original data set.
DProblem Solving and Data Analysis / Mean, mode, median
11

The function g is defined by g(x)= 9x. For what value of x is g(x)=63?

7Algebra / Solve linear equation
12

In a set of four consecutive odd integers, where the integers are ordered from least to greatest, the first integer is represented by x. The product of 14 and the fourth odd integer is at most 23 less than the sum of the first and third odd integers. Which inequality represents this situation?

  1. A14(x+4)≥23-(x+(x+3))
  2. B14(x+4)≤x+(x+3)-23
  3. C14(x+6)≥23-(x+(x+4))
  4. D14(x+6)≤x+(x+4)-23
DAlgebra / Linear inequality word problem
13

If 10+(6(7-x))/5=(4(7-x))/3 , which equation must also be true?

  1. A7-x=148
  2. B7-x=-75
  3. Cx-7=148
  4. Dx-7=-75
DAdvanced Math / Rational transformation
14

The function f is a quadratic function. In the xy-plane, the graph of y = f (x) has a vertex at (1, 6) and passes through the points (2, 34) and (-1, 118). What is the value of f (-2) - f (0)?

  1. A90
  2. B146
  3. C224
  4. D258
CAdvanced Math / Quadratic word problems
image
15

The graph of line g is shown in the xy-plane. Line k is defined by 195x + py = w, where p and w are constants. If line k is graphed in this xy-plane, resulting in the graph of a system of two linear equations, the system of two linear equations will have infinitely many solutions. What is the value of p+ w?

360Algebra / Systems of linear equations word problem
16

Triangles ABC and DEF are similar. Each side length of triangle ABC is 3 times the corresponding side length of triangle DEF. The area of triangle ABC is 170 square inches.What is the area, in square inches, of triangle DEF?

170/9,18.89Geometry and Trigonometry / Congruence and similarity
17

After 60% of the original number of objects in a group were removed from the group. 300 objects remained in the group, How many objects were removed from the group?

  1. A180
  2. B450
  3. C500
  4. D750
BProblem Solving and Data Analysis / Percents
18

12 , 12 , 18 , 24 , 29
What is the median of the data set shown?

18Problem Solving and Data Analysis / Mean, mode, median
19

y=x-c
y=-2(x-12)^2
In the given system of equations, c is a constant. The system has two distinct real solutions. Which of the following could be the value of c?

  1. A7
  2. B11
  3. C95/8
  4. D17
DAdvanced Math / linear and quadratic systems
20

The perimeter of an isosceles right triangle is 26+26√2 inches. What is the length, in inches, of the hypotenuse of this triangle?

  1. A13
  2. B13√2
  3. C26
  4. D26√2
CGeometry and Trigonometry / General triangle
21

If n and k are numbers greater than l and 2√n^5 is equivalent to sqrt[3]k^45√k^4 , for what value of a is n^(4a+1)equal to k?

17/32,0.531,.5312,.5313Advanced Math / Radical and rational exponent problems
22

An object's speed is increasing at a rate of 10.7 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth? (Use 1 mile = 1,609 meters.)

  1. A0.4
  2. B23.9
  3. C150.4
  4. D286.9
BProblem Solving and Data Analysis / Units