6x-5x+130=260
What value of x is the solution to the given equation?

A company studied a random sample of 72 lawns in a small town. The company found that 9 of these lawns contain acidic soil. If there are 1,080 lawns in the town, which of the following is the best estimate of the number of lawns that contain acidic soil?

1. A6
   A
2. B8
   B
3. C15
   C
4. D135
   D

f(x)=6x+8
The function gives the total number of people on a city tour with x tour guides. What is the total number of people on a city tour with 6 tour guides?

A total of 234 toothpicks of equal length were used to construct two types of figures: triangles and squares. The triangles and squares were constructed so that no two figures had a common side. The equation 3x + 4y = 234 represents this situation, where x is the number of triangles constructed and y is the number of squares constructed. What is the best interpretation of (x, y) = (18, 45) in this context?

1. AIf 18 triangles were constructed, then 45 squares were constructed.
   A
2. BIf 18 triangles were constructed, then 45 toothpicks were used.
   B
3. CIf 45 triangles were constructed, then 18 squares were constructed.
   C
4. DIf 45 triangles were constructed, then 18 toothpicks were used.
   D

The function k is defined by k(x)=x^3+50. What is the value of k(x) when x=2 ?

1. A50
   A
2. B55
   B
3. C56
   C
4. D58
   D

Each side of square A has a length of 21 inches. Each side of square A is multiplied by a scale factor of 2 to create square B. What is the length, in inches, of each side of square B?

1. A19
   A
2. B21
   B
3. C23
   C
4. D42
   D

f(x)=-8x^2+118x
The function f models the depth below sea level, in meters, of a certain seal x minutes after the seal dives into the water. What is the best interpretation of f(2)=204 in this context?

1. A2 minutes after the seal dives into the water, its estimated depth is 204 meters below sea level.
   A
2. BApproximately 2 minutes after diving into the water, the seal returns to sea level.
   B
3. CThe seal reaches an estimated maximum depth of 204 meters below sea level.
   C
4. D204 minutes after the seal dives into the water, its estimated depth is 2 meters below sea level.
   D

As part of a science experiment on evaporation, Ella measured the height of water in a glass over a period of time. The function fx=39-0.21xf(x)=39-0.21x gives the estimated height, in centimeters cm, of the water in the glass x days after the start of the experiment. What is the best interpretation of 0.21 in this context?

1. AThe estimated height, in cm, of the water at the start of the experiment
   A
2. BThe estimated height, in cm, of the water at the end of the experiment
   B
3. CThe estimated change in the height, in cm, of the water each day
   C
4. DThe estimated number of days for all the water in the glass to evaporate
   D

For the linear function h, h(0) = 0 and h(8) = 7. Which equation defines h?

1. Ah(x)=7/8x
   A
2. Bh(x)=7/8x+7
   B
3. Ch(x)=8/7x
   C
4. Dh(x)=8/7x+8
   D

The product of a positive number x and the number that is 6 more than x is 216. What is the value of x?

1. A6
   A
2. B12
   B
3. C18
   C
4. D36
   D

The measure of angle C is 3/4π3π/4radians. What is the value of sin(C)?

1. A-(√3)/2
   A
2. B-(√2)/2
   B
3. C1/2
   C
4. D(√2)/2
   D

A model estimates that a gray whale travels 73 to 78 miles each day during its migration. Based on this model, which inequality represents the estimated total number of miles, x, a gray whale could travel in 48 days of its migration?

1. A(73)(48)≤x≤(78)(48)
   A
2. B73+48≤x≤78+48
   B
3. C73≤48x≤78
   C
4. D73≤48+x≤78
   D

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

The function g is defined asg(x)=(2x-8)/(x+13)(x-6) . If g(a+7)=0, where a is a constant, what is the value of a?

|x-9|=-|x-9|+10
What is the sum of the solutions to the given equation?

The floor of a building has an area of 5,600 square feet. An architect creates a scale model of the floor of the building, where the length of each side of the model is 1/20 times the length of the corresponding side of the floor of the actual building. What is the area, in square feet, of the scale model?

In the xy-plane, the graph of the equation y=6^x is translated 8 units down. What is an equation of the resulting graph?

1. Ay=-8(6)^x
   A
2. By=6^(x+8)
   B
3. Cy=6^x-8
   C
4. Dy=6^(x-8)
   D

A line in the xy-plane passes through the points (0,-2) and (1, 7). Which of the following is an equation of this line?

1. Ay=9x-2
   A
2. By=-9x-2
   B
3. Cy=x-2
   C
4. Dy=-x-2
   D

Iff(x)=x+6 and g(x)=6x,what is the value of 7f(5)-g(5)?

1. A-19
   A
2. B11
   B
3. C42
   C
4. D47
   D

Which expression is equivalent to (6v^10)/(24v^5) , where v>0 ?

1. A(v^2)/4
   A
2. B(v^5)/4
   B
3. C4v^2
   C
4. D4v^5
   D

Which expression is equivalent to()(8t^4-3t^2+7t-4)-(4t^4-4t^3+7t^2-4)?

1. A4t^4+4t^3-10t^2+7t-8
   A
2. B4t^4+4t^3-10t^2+7t
   B
3. C4t^4+t^3+14t-8
   C
4. D4t^4+t^3
   D

For the polynomial function f, a solution to the equation f(x)=0 is x=7 , and one of the factors of f(x) is x+5 . Which of the following could be the graph of y=f(x) in the xy-plane?

1. A
   
   A
2. B
   
   B
3. C
   
   C
4. D
   
   D

7x^2(4x-13)(4x-u)=0
In the given equation, u is a positive constant. The sum of the solutions to the equation is 9. What is the value of u?

y=-9x-6
y=9x+10
The solution to the given system of equations is (x, y) . What is the value of y?

1. A10
   A
2. B4
   B
3. C2
   C
4. D-6
   D

A scientist studying the life cycle of butterflies counted the number of butterflies in a certain habitat each day for 46 days. On June 15, there were 126 butterflies in the habitat. The percent increase in the number of butterflies in the habitat from May 1 to June 15 was 31.25%. How many butterflies were in the habitat on May 1?

1. A96
   A
2. B87
   B
3. C39
   C
4. D4
   D

If 2(5-6x)+5(5-6x)+4=6(5-6x)+1, what is the value of 6x-5?

A rectangle is inscribed in a circle such that the length of the diagonal of the rectangle is twice the length of its shortest side. The circumference of the circle is 114π units. What is the area, in square units, of the rectangle?

1. A57√2
   A
2. B57√3
   B
3. C3,249√2
   C
4. D3,249√3
   D

y<-6x-16
y>-4x-10
For which of the following tables are all the values of x and their corresponding values of y solutions to the given system of inequalities?

1. A
   
   A
2. B
   
   B
3. C
   
   C
4. D
   
   D

For groups of 6 or more people, a tour guide charges $14 for the first person in the group and $12 for each additional person. Which function g gives the total charge, in dollars, for a tour with a group of n people, where n≥6?

1. Ag(n)=26n
   A
2. Bg(n)=26n-14
   B
3. Cg(n)=12n+2
   C
4. Dg(n)=12n+14
   D

f(x)=k(1.85)^x
The function f is defined by the given equation, where k is a constant. The value of f(x) increases by p% for every increase of x by 1. For which of the following functions, where k is a constant, does the value of g(x) increase by p% for every increase of x by 1/3?

1. Ag(x)=k(1.85^x)^(1/3)
   A
2. Bg(x)=k(1.85^x)^3
   B
3. Cg(x)=k(1.85)^(x+1/3)
   C
4. Dg(x)=k(1.85)^(x-1/3)
   D

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is 7x-650°. The sum of the measures of one of the acute angles and three of the obtuse angles is -14x+w°. What is the value of w?

y=4/7x+5
One of the two equations in a system of linear equations is given. The system has infinitely many solutions. If the second equation in the system is y=mx+b, where m and b are constants, what is the value of b?

1. A-5
   A
2. B-1/5
   B
3. C1/5
   C
4. D5
   D

The exponential function f is defined byf(x)=ab^x, where a and b are positive constants. If f(n-1)=f(n)+89/100f(n-1), where n is a constant, what is the value of b?

The area of a rectangular region is increasing at a rate of 1,560 square centimeters per hour. What is this rate, in square meters per minute? (1 meter =100 centimeters)

-x^2+bx-100=0
In the given equation, b is an integer. The equation has no real solutions. What is the least possible value of b?

1/R=1/p+1/q+1/s+1/32
A parallel electric circuit contains four resistors with resistances of p ohms, q ohms, s ohms, and 32 ohms. The given equation relates the resistance R, in ohms, of the circuit, to the resistances of the four individual resistors it contains. Which equation correctly expresses R in terms of p, q, and s?

1. AR=32pqs/(p+q+s+32)
   A
2. BR=32pqs/(32qs+32ps+32pq+pqs)
   B
3. CR=(32qs+32ps+32pq+pqs)/32pqs
   C
4. DR=p+q+s+32
   D