7m − 4 = 5p
The office of the City Mayor is planting trees in community parks around the city. The given equation describes the relationship between the number of maple trees, m, and the number of pine trees, p, planted in each community park. If 12 maple trees are planted in each community park, how many pine trees were planted in each community park?

1. A14
   A
2. B16
   B
3. C20
   C
4. D24
   D

The length of an edge of cube A is one-fourth the length of an edge of cube B. What is the ratio of the surface area of cube A to the surface area of cube B ?

1. A1:96
   A
2. B1: 16
   B
3. C1: 6
   C
4. D1: 4
   D

7/6 is p% of 1/30. What is p ?

By the end of March, the water level at the reservoir was 250 meters. It was projected that each month for the next 6 months, the water level, w, will decrease by 25% from the previous month. Which equation best represents this scenario, where m is the number of months after March, for m ≤ 6 ?

1. Aw = 250(1.25)m
   A
2. Bw = 250(0.75)m
   B
3. Cw = 1.25(250)m
   C
4. Dw = 0.75(250)m
   D

Points A, B, and C lie on a circle with a radius of 15 inches. If the length of arc ABC is 5π inches, what is the length, in inches, of chord AC ?

If g(x) = x3+1, what is the value of g(4) + g(2)?

1. A45
   A
2. B56
   B
3. C67
   C
4. D74
   D

If x < 0, what value of x will satisfy the equation 3x2 − 2 = −5x ?

1. A-3
   A
2. B-2
   B
3. C2
   C
4. D3
   D

The average (arithmetic mean) of a list of 1,000 numbers is 32 , and the standard deviation is d, where d > 0. Which of the following two numbers, when added to the list, will result in a list of 1,002 numbers with a standard deviation of less than d ?

1. A30 and 30
   A
2. B30 and 35
   B
3. C32 and 32
   C
4. D32 and 35
   D

The exponential function f is defined by f(x) =k ⋅ 2x , where k is a positive constant. If f (2) =25, what is the value of f (5) ?

x + y = 7
2x2 + 2xy = 42
Which ordered pair (x, y) is the solution to the given system of equations?

1. A(1,4)
   A
2. B(2,5)
   B
3. C(3,4)
   C
4. D(3,5)
   D

Which of the following is equivalent to cos π/3 ?

1. Asinπ/6
   A
2. Bsinπ/3
   B
3. Ccosπ/6
   C
4. Dtanπ/3
   D

The function f(m)=125(5)^(m/30) represents the population of elephants m months after the initial observation. How many months since the initial observation does it take for the population of elephants to be 625 ?

z(4x − 7) = y − 5
The given equation gives the relationship between positive numbers x, y, and z. What is x in terms of y and z ?

1. Ax=(y+5)/4z+7/4
   A
2. Bx=(y-5)/4z+7/4
   B
3. Cx=(y+5)/4z-7/4
   C
4. Dx=(y-5)/4z-7/4
   D

The equation y = x2 + 6x + 9 intersects the y-axis on the xy-plane at (0, b). What is the value of b ?

14x − 3 = 2(6x + 1)
Which equation has the same solution as the given equation?

1. A5x + 2 = 0
   A
2. B5x - 2 = 0
   B
3. C2x + 5 = 0
   C
4. D2x - 5 = 0
   D

The weights of the four rock samples are 160 grams, 250 grams, 240 grams, and 330 grams, respectively. The weight of the fifth rock sample is x grams. If the average (arithmetic mean) weight of the first four rock samples is the same as the average weight of all five rock samples, what is the value of x ?

For x > 0, the function f is defined as: f(x) equals three-fourths raised to the xth power
Which of the following could describe the function?

1. ADecreasing exponential function
   A
2. BIncreasing exponential function
   B
3. CDecreasing linear function
   C
4. DIncreasing linear function
   D

Twenty-eight people attended the meeting, of these, 16 were men, and the rest were women. Ten people have to leave the meeting by 1:00 PM. If after 1:00 PM, there are still 9 men at the meeting, how many women are still at the meeting after 1:00 PM?

1. A6
   A
2. B9
   B
3. C10
   C
4. D12
   D

The equation y = 2x2 + 5x + 2 has a graph on the xy-plane that intersects the y-axis at (0, c ). What is the value of c ?

1. A-2
   A
2. B1/2
   B
3. C0
   C
4. D2
   D

The function f(x) = 7x + 287 predicts the total number of brown sparrows in a certain region x months after the initial observation. Which statement best interprets the y-intercept of the graph of y = f(x) in the xy-plane in this context?

1. AThe number of brown sparrows in the region increases by 41 each month after the initial observation.
   A
2. BThe number of brown sparrows in the region increases by 287 each month after the initial observation.
   B
3. CThere were 41 brown sparrows in the region at the initial observation.
   C
4. DThere were 287 brown sparrows in the region at the initial observation.
   D

An angle has a measure of 13π/6 radians. What is the measure of the angle in degrees?

y > 5x − 3
y < 2x + 7
Which point (x, y) is NOT a solution to the given system of inequalities in the xy-plane?

1. A(−1,0)
   A
2. B(0, −1)
   B
3. C(0,1)
   C
4. D(1,0)
   D

The lengths of the two sides of a triangle are 12 inches and 7 inches, respectively. If the length of the third side of the triangle is x inches such that x is an integer, how many possible values can x have?

One of the factors of x3 + 2x2 − 23x − 60 is x + k, where k is a constant. What is the smallest possible value of k ?

The function f is defined by f(x)=(13x-9)/3 . What is the y-intercept of the graph of y = f(x) in the xy -plane?

1. A(−3,0)
   A
2. B(0, −3)
   B
3. C(0,3)
   C
4. D(3,0)
   D

A rectangle has an area of 21 square yards. What is the area, in square feet, of the rectangle? ( 3 feet = 1 yard)

1. A7
   A
2. B49
   B
3. C63
   C
4. D189
   D

x − 5y = −23
5x + y = 15
The solution to the given system of equations is (x , y ). What is the value of xy ?

1. A2
   A
2. B3
   B
3. C5
   C
4. D10
   D

Which of these expressions is equivalent to 2(2x −2y)(2x + 2y) ?

1. A8x2 − 8y2
   A
2. B8x2 + 8y2
   B
3. C8x2 - 8xy - 8y2
   C
4. D8x2 + 8xy - 8y2
   D

x =√3x-2
How many solutions does the given equation have?

1. ANone
   A
2. BExactly one
   B
3. CExactly two
   C
4. DInfinitely many
   D

Carl, Ryan, and Jodie can make pancakes in the ratio of 2: 3: 5. If Jodie can make a pancake in 4 minutes, how many minutes will it take Carl and Ryan to make 5 pancakes if the two of them work together?

1. A10
   A
2. B15
   B
3. C20
   C
4. D25
   D

Triangle ABC is similar to triangle PQR such that A, B, and C correspond to P, Q, and R, respectively, and angles B and Q are right angles. The measure of ∠A is 35∘ and AC = PR/5 . What is the measure of ∠R ?

1. A7∘
   A
2. B35∘
   B
3. C55∘
   C
4. D125∘
   D

Elise used x packs of red beads and y packs of green beads to make 13 bracelets. She used a total of 260 red and green beads. The equation 45x + 25y = 260 represents this situation. Which is the best interpretation of 25y in this context?

1. AThe number of red beads in each pack.
   A
2. BThe number of green beads in each pack.
   B
3. CThe total number of red beads she used in making the bracelets.
   C
4. DThe total number of green beads she used in making the bracelets.
   D

Ruben can finish painting a wall in 2 hours. Jake can finish painting the same wall in 3 hours. If the two of them help paint the same wall together, how long will it take them to finish the job?

1. A1 hour and 24 minutes
   A
2. B1 hour and 18 minutes
   B
3. C1 hour and 15 minutes
   C
4. D1 hour and 12 minutes
   D

f(x) = 3x + 6
g(x) = 2f(x) − 2
Using the given functions, what is the value of g(3) ?

If 7x − 7x-1 = 2,058 , what is the value of (x/2)^3 ?

1. A8
   A
2. B16
   B
3. C49
   C
4. D343
   D

x =√7x-10
What is the sum of the solutions to the given equation?

The function f(x)=7/8(x-5)^2+7 predicts the speed f(x), in meters per second, of a bee flying x seconds after it takes off, where x > 0. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?

1. AThe bee will reach its minimum speed 5 seconds after taking off.
   A
2. BThe bee will reach its minimum speed 7 seconds after taking off.
   B
3. CThe bee will reach its maximum speed 5 seconds after taking off.
   C
4. DThe bee will reach its maximum speed 7 seconds after taking off.
   D

Which of the following is equivalent to (3/(2√x))^4 ?

1. A81/16x
   A
2. B81/(16x^2)
   B
3. C81/(16x^3)
   C
4. D81/(16x^4)
   D

The function f is defined as f (x) = (x − a )(x − b) , where a and b are constants and a ≠ b. If f(8）= f(15）= 0, what is the value of f(20） ?

1. A-85
   A
2. B-45
   B
3. C60
   C
4. D120
   D