on a particular assembly line,51 out of every 100 products have a defect. A product from the assembly line will be selected at random. what is the probability of selecting a product that has a defect?

1. A1/5100
   A
2. B1/51
   B
3. C51/100
   C
4. D51/10
   D

The number of muskrat in a 131-acre area is estimated to be 2,096.what is the estimated population density, in muskrat per acre, of this area?

1. A16
   A
2. B131
   B
3. C147
   C
4. D2,112
   D

Sabrina has a goal to save at least $240. Sabrina has already saved $190. If x represents the additional amount of money, in dollars, Sabrina needs to save to meet her goal, which inequality represents this situation?

1. Ax/190≥240
   A
2. B190x ≥240
   B
3. C190 + x ≥240
   C
4. D190 - x ≥240
   D

The function f is defined by f(x)= 10x2- 40x - 150. what is the value of f (0)?

1. A-150
   A
2. B-40
   B
3. C0
   C
4. D10
   D

y =2x + 43
which table gives three values of x and their corresponding values of y for the given equation?

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

In triangle ABC, AB = 4,290 millimeters(mm) and BC= 4,290 mm. which statement is sufficient to prove that triangle ABC is equilateral?

1. AAC = 4.29 mm
   A
2. BAC = 42.9 mm
   B
3. CAC = 429 mm
   C
4. DAC = 4,290 mm
   D

How many solutions does the equation 8x +5=8x＋ 2 have?

1. AZero
   A
2. BExactly one
   B
3. CExactly two
   C
4. Dlnfinitely many
   D

y = 4x +8
y = 3x +1
In the xy-plane.the graphs of the given equations intersect at (x,y). What is the value of x ?

The equation 8p+8w = 720 represents the number of purple tiles, p. and the number of white tiles, w, a designer needs to cover a 720-square-inch section of a wall.The designer needs 34 purple tiles for the wall.How many white tiles does she need?

y =-6.5
y = x2+ 8x＋a
ln the given system of equations, a is a positive integer constant.The system has no real solutions. what is the least possible value of a?

Line t in the xy-plane has a slope of 1/8 and passes through the point (40, -7). which equation defines line t ?

1. Ay =-12x + 1/8
   A
2. By = x/8-12
   B
3. Cy = x/8-7
   C
4. Dy = 40x -7
   D

A sample of a certain isotope takes 29 years to decay to half its original mass. The functions s(t)=184(0.5)^(t/29) gives the approximate mass of this isotope, in grams, that remains t years after a 184-gram sample starts to decay. which statement is the best interpretation of s(87)= 23 in this context?

1. AApproximately 23 grams of the sample remains 87 years after the sample starts to decay.
   A
2. BThe mass of the sample has decreased by approximately 23 grams 87 years after the sample starts to decay.
   B
3. CThe mass of the sample has decreased by approximately 87 grams 23 years after the sample starts to dlecay.
   C
4. DApproximately 87 grams of the sample remains 23 years after the sample starts to decay.
   D

ak=b/10(9+m)
The given equation relates the positive variables a,b. k, and m. Which equation correctly expresses m in terms of a.b,and k?

1. Am=(10(ak-9))/b
   A
2. Bm = ak - 9 - b/10
   B
3. Cm = ak - 9b/10
   C
4. Dm = 10ak/b - 9
   D

An object is launched from a height of 130 feet above the ground.A quadratic function f models the height above the ground, in feet, of the object t seconds after it is launched. According to the model,2 seconds after the object is launched. it reaches a maximum height of 194 feet above the ground. which equation defines f?

1. Af(t) =-16(t +194)2 - 2
   A
2. Bf(t) =-16(t -194)2 +2
   B
3. Cf(t) =-16(t +2)2 - 194
   C
4. Df(t) =-16(t -2)2 + 194
   D

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

1. A1.25
   A
2. B2
   B
3. C5
   C
4. D10
   D

In the xy-plane, the graph of the equation (x -6)2+( y -10)2 = 36 is a circle.The point (12, c), where c is a constant, lies on this circle.What is the value of c ?

A right square prism has a height of 16 units. The volume of the prism is 64 cubic units. What is the length. in units. of an edge of the base?

1. A2
   A
2. B4
   B
3. C8
   C
4. D16
   D

ln triangle ABC, the measure of angle C is 90 degrees. The cosine of angle A is 60/61 . what is the sine of angle B?

1. A11/61
   A
2. B11/60
   B
3. C60/61
   C
4. D61/60
   D

f(x) =250(5)x
The function f is defined by the given equation. lf g(x) = f (x - 2), which of the followingequations defines the function g?

1. Ag(x) =10(5)x
   A
2. Bg(x) =125(5)x
   B
3. Cg(x) =250(25)x
   C
4. Dg(x) =250(10)x
   D

ax2 +176x + c
In the given expression, a and c are positive constants. If px +q is a factor of the expression, where p and q are positive constants, what is the greatest possible value of ac ?

The function f is defined by f(x) = 35x ＋40.What is the value of f(x) when x = 2?

1. A70
   A
2. B77
   B
3. C110
   C
4. D150
   D

Which expression is equivalent to 80y + 70y ?

1. A560y2
   A
2. B560y
   B
3. C150y2
   C
4. D150y
   D

w(t)= 600- 3t
The function w models the volume of water, in milliliters, in a container t seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?

1. A3
   A
2. B200
   B
3. C597
   C
4. D600
   D

If 5(x ＋3)= 25, what is the value of x ＋ 3?

1. A2
   A
2. B5
   B
3. C17
   C
4. D20
   D

The graph of the polynomial function f in the xy-plane, where y = f(x), has x-intercepts of (-7,0) and (2,0). which of the following must be true?

1. Af (0) = -7
   A
2. Bf (2) = -7
   B
3. Cf (-7) = 0
   C
4. Df (-7) = 2
   D

y > 9x -5
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
   x | y
   3 | 17
   5 | 35
   8 | 62
   A
2. B
   x | y
   3 | 22
   5 | 40
   8 | 67
   B
3. C
   x | y
   3 | 27
   5 | 35
   8 | 67
   C
4. D
   x | y
   3 | 27
   5 | 45
   8 | 72
   D

When the linear function h is graphed in the xy-plane, where y = h(x), its slope is -2. If h(4)= 3, which equation defines h?

1. Ah(x) = -2x + 5
   A
2. Bh(x) = -2x + 11
   B
3. Ch(x) = -2x + 3
   C
4. Dh(x) = -2x - 5
   D

A linear model estimates the population of a city from 1992 to 2016.The model estimates the population was 56 thousand in 1992, 218 thousand in 2012,and x thousand in 2016.To the nearest whole number, what is the value of x ?

7/3x+4y=23
5/3x+4y=21
The solution to the given system of equations is (x, y). What is the value of 17/3x+12y ?

1. A3
   A
2. B4
   B
3. C44
   C
4. D65
   D

1/x+1/(x-7)=2/(x^2-7x)
What are all the solutions to the given equation?

1. A-1 and 2
   A
2. B0 and 7
   B
3. C1
   C
4. D9/2
   D

According to a set of standards, pure biodiesel fuel can contain a maximum of 0.001% phosphorus by mass.If a sample of pure biodiesel fuel has a mass of 310 grams, what is the maximum mass, in grams, of phosphorus the sample can contain to meet these standards?

A proposal for a construction project was included on a city election ballot. A TV news report stated that 8 times as many people voted in favor of the proposal as people who voted against it. An internet article reported that 31,500 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

x2＋ 38x + c =0
In the given equation, c is a constant. The equation has no real solutions if c > n. What is the least possible value of n?

1. A-361
   A
2. B-38
   B
3. C38
   C
4. D361
   D

The function f is defined by f(x) =ax＋b, where a and b are constants. In the xy-plane, the graph of y = f(x ) has an x-intercept at (2,0) and a y-intercept at (0,-24). What is the value of b?

The area of a triangle is equal to x2 square centimeters.The length of the base of the triangle is 2x ＋16 centimeters, and the height of the triangle is x - 4 centimeters. What is the value of x?

y =-4x2 -25
y = qx - 21
In the given system of equations, q is a positive constant. The graphs of the equations in the given system intersect at exactly one point, (x, y), in the xy-plane.What is the value of x ?

1. A-46
   A
2. B-29
   B
3. C-8
   C
4. D-1
   D

y =-1.5
y =x2+4x ＋ a
In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a?

46x2+(46s ＋r)x ＋rs =0
In the given equation, r and s are positive constants. The product of the solutions to the given equation is krs, where k is a constant. What is the value of k?

The cost of renting a piece of construction equipment for up to 5 days is $390 for the first day and $195 for each additional day. Which of the following equations gives the cost y, in dollars, of renting the equipment for a days, where x is a positive integer and x ≤5?

1. Ay =195x + 195
   A
2. By =195x + 390
   B
3. Cy =390x - 195
   C
4. Dy =390x +195
   D