√2x+19=5
What is the solution to the equation shown?

1. A22
   A
2. B12
   B
3. C3
   C
4. D-7
   D

The function f is defined by f(x)=5x^2 . What is the value of f(6)?

1. A30
   A
2. B40
   B
3. C60
   C
4. D180
   D

A right rectangular prism has a length of 26 centimeters (cm), a width of 16 cm, and a height of 14 cm. What is the surface area, in cm², of the right rectangular prism?

How many solutions does the equation 6x+4=6x+8have?

1. AInfinitely many
   A
2. BExactly two
   B
3. CExactly one
   C
4. DZero
   D

A newspaper stand sells magazines for $5 each and newspapers for $2 each. The stand needs to sell m magazines and n newspapers for a combined total value of at least $150 each day to cover operational costs. Which inequality represents this situation?

1. A5m+2n≤150
   A
2. B5m+2n≥150
   B
3. C7mn≤150
   C
4. D7mn≥150
   D

An object is kicked from a platform. The equation h=-4.9t^2+5t+9 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
   A
2. B4.9
   B
3. C5
   C
4. D9
   D

The y-intercept of the graph of y=81.65^x in the xy-plane is (0, y). What is the value of y?

If 380% of n is 38, what is the value of n?

1. A14,440
   A
2. B1,444
   B
3. C1,000
   C
4. D10
   D

The function f(x)=180(x-2) gives the sum of the interior angles, in degrees, for a polygon with x sides. What is the sum of the interior angles, in degrees, for a polygon with 14 sides?

A batch of smoothies consists of 4 cups of milk and 2 bananas and has 1,228 milligrams (mg) of calcium. There is 304 mg of calcium in 1 cup of milk. How much calcium, in mg, is in 1 banana?

1. A6
   A
2. B12
   B
3. C462
   C
4. D1,216
   D

The number of bacteria in a liquid medium doubles every day. There are 72,000 bacteria in the liquid medium at the start of an observation. Which of the following represents the number of bacteria, y, in the liquid medium t days after the start of the observation?

1. Ay=1/2(72,000)^t
   A
2. By=2(72,000)^t
   B
3. Cy=72,000(1/2)^t
   C
4. Dy=72,000(2)^t
   D

p(x)=146-5x
The function p shown gives the number of blank sheets of paper, p(x), remaining in a printer x days after the printer had been loaded with paper. Which statement is the best interpretation of p(8) = 106?

1. AThe number of blank sheets of paper remaining in the printer decreased by a total of 8 sheets after 106 days.
   A
2. BThere were 8 blank sheets of paper remaining in the printer 106 days after the printer had been loaded with paper.
   B
3. CThere were 106 blank sheets of paper remaining in the printer 8 days after the printer had been loaded with paper.
   C
4. DThe number of blank sheets of paper remaining in the printer decreased by a total of 106 sheets after 8 days.
   D

y=x^2-18x+51
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

1. A-18
   A
2. B9
   B
3. C18
   C
4. D51
   D

The difference between the measure of angle A and the measure of angle B is -3/4π radians. Which expression shows the difference between the measure of angle A and the measure of angle B, in degrees?

1. A-3/4·(180°)/π
   A
2. B-3/4π·π/(180°)
   B
3. C-3/4π·(180°)/π
   C
4. D-3/4π·(360°)/π
   D

In March, an account manager completed 15 more than 3 times the number of sales the account manager completed in April. In March and April, the account manager completed 327 sales. How many sales did the account manager complete in April?

Triangle QRS is similar to triangle FGH such that Q, R, and S correspond to F, G and H, respectively. Each side of triangle FGH has 1/4 the length of its corresponding side in triangle QRS. In triangle FGH, the measure of angle F is 35°, the measure of angle G is 8°, and FG = a. In triangle QRS, the measure of angle Q is b° and QR = 20. What is the value of a + b?

Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 10 times the length of the corresponding side of ABCD. The area of ABCD is 100 square units. What is the area, in square units, of EFGH?

1. A10
   A
2. B100
   B
3. C1,000
   C
4. D10,000
   D

For the linear function p, p(c)=-6 , where c is a constant,p(c)=-6p(3)=26 , and the slope of the graph of y=p(x) in the xy-plane is 8. For the linear function t, t(c)=-7 and t(4)=38. What is the slope of the graph of y=t(x) in the xy-plane?

1. A-1
   A
2. B2
   B
3. C8
   C
4. D9
   D

The area of a triangle is equal to x^2 square centimeters. The length of the base of the triangle is 2x+12.5 centimeters, and the height of the triangle is x-5centimeters. What is the value of x?

Which expression is a factor of 2x^2+30x+8 ?

1. A2
   A
2. B4x
   B
3. C30x
   C
4. D2x^2
   D

In the xy-plane, line l has a slope of 4 and an x-intercept of ( 4/3 , 0). What is the y-intercept of line l?

1. A(4/3,0)
   A
2. B(-16/3,0)
   B
3. C(0,4/3)
   C
4. D(0,-16/3)
   D

Line k is defined by y = 4x + 1. Line j is parallel to line k in the xy-plane and passes through the point (0, 5). Which equation defines line j?

1. Ay=-5x+1
   A
2. By=5x+1
   B
3. Cy=-4x+5
   C
4. Dy=4x+5
   D

For x > 0, the function f is defined as follows:
f(x) equals 300% of x
Which of the following could describe this function?

1. ADecreasing exponential
   A
2. BDecreasing linear
   B
3. CIncreasing exponential
   C
4. DIncreasing linear
   D

(9y+9)-(5y+3)
The given expression is equivalent to by + c, where b and c are constants, what is the value of b?

A right circular cylinder has a radius of 12 centimeters and a volume of 2,448π cubic centimeters. What is the height, in centimeters, of the cylinder?

If a=3k+4r and b=9k-12r+6 , which expression is equivalent to a-b ?

1. A-6k+16r-6
   A
2. B-6k+16r+6
   B
3. C-6k-8r+6
   C
4. D-6k-8r-6
   D

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

3x^2+x-5=0
What is the greatest solution to the given equation?

1. A-1/6-(√61)/6
   A
2. B-1/6+(√61)/6
   B
3. C-1/3-(√61)/3
   C
4. D-1/3+(√61)/3
   D

For a particular car, the linear function f gives the predicted power, in brake horsepower (bhp), for engine speeds between 1,000 revolutions per minute (rpm) and 6,000 rpm. According to this function, the car's predicted power is 228 bhp at an engine speed of 1,896 rpm and 600 bhp at an engine speed of 4,500 rpm. The equation f(x)=1/7(x-a)+228 defines f, where x is the engine speed, in rpm, and a is a constant. What is the value of a?

According to a model, the estimated volume of a certain Douglas fir tree increases by 15.5% for every increase of 100 centimeters in the tree's height. The equation y=ab^(x/100) represents this model, where y represents the estimated volume, in cubic centimeters, of this Douglas fir tree, x represents the tree's height, in centimeters, and a and b are constants. In this equation, what is the value of b?

1. A0.155
   A
2. B1
   B
3. C1.155
   C
4. D15.5
   D

y=2/5x+7
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-7
   A
2. B-1/7
   B
3. C1/7
   C
4. D7
   D

y<-6x-22
y>-4x-7
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

If the perimeter of an equilateral triangle with a height of 46 units is a√3 units, what is the value of a?

1. A46
   A
2. B92
   B
3. C(2,116)/3
   C
4. D(4,232)/3
   D

If (x-5)/4=(x-5)/11 , the value of x-5 is between which of the following pairs of values?

1. A-11 and-7
   A
2. B-6 and-3
   B
3. C-3 and3
   C
4. D4 and6
   D

33x^2+(33s+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?

A square map has a side length of 35 inches, and 1 inch on the map represents an actual distance of 17 miles. A smaller version of the same map is printed as a square with the side length 55% shorter than the side length of the previous map. On the smaller map, which of the following is closest to the actual distance, in miles, represented by 1 inch?

1. A7.65
   A
2. B10.97
   B
3. C19.25
   C
4. D37.78
   D

The function p is defined by p(x)=((x+6)^2-b)((x-6)^2-c)p(x)=a((x+6)^2-b)((x+6)^2-c) , where a, b, and c are constants. In the xy-plane, the graph of y=p(x) passes through the points (-7, 24 )and (0, 899). What is the value of p(-12)+p(-5) ?

A scientist makes batches of bricks using different sand-to-cement ratios to test how the sand-to-cement ratio affects the strength of the brick. For one batch of bricks, the scientist uses 4,880 cubic centimeters (cm³) of sand and cement, where the ratio of the volume of sand to the volume of cement is 7 to 3. If s represents the volume, in cm³, of sand and c represents the volume, in cm³, of cement that the scientist uses for this batch of bricks, which system of equations represents this situation?

1. As=c
   7s+3c=4,880
   A
2. Bs=c
   3s+7c=4,880
   B
3. C7s=3c
   s+c=4,880
   C
4. D3s=7c
   s+c=4,880
   D

The functions f and g are defined by the given equations, where x≥0. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where x≥0 ?
Ⅰ. f(x)=16(1.24)^x+43
Ⅱ. g(x)=8(0.72)^x

1. AⅠ only
   A
2. BⅡ only
   B
3. CⅠ and Ⅱ
   C
4. DNeither Ⅰ nor Ⅱ
   D
5. AⅠ only
   A
6. BⅡ only
   B
7. CⅠ and Ⅱ
   C
8. DNeither Ⅰ nor Ⅱ
   D