11x = 96 - x
What value of x is the solution to the given equation?

Harper deposited a fixed amount into her bank account each month. The function f(t)= 250+30t gives the amount, in dollars, in Harper's bank account after t monthly deposits. What is the best interpretation of 30 in this context?

1. AWith each monthly deposit, the amount in Harper's bank account increased by $30.
   A
2. BBefore Harper made any monthly deposits, the amount in her bank account was $30.
   B
3. CHarper made a total of 30 monthly deposits.
   C
4. DAfter 1 monthly deposit, the amount in Harper's bank account was $30.
   D

The area of a rectangle is 320 square inches. The length of the rectangle is 80 inches. What is the width, in inches, of this rectangle?

1. A4
   A
2. B80
   B
3. C160
   C
4. D240
   D

The function g is defined by g(x) = 3x. For what value of is g(x) = 12?

Gentoo penguins are the fastest swimming-underwater birds. A gentoo penguin was recorded swimming at a rate of 7 meters per second for 160 meters. For approximately how many seconds was the penguin recorded swimming at this rate?

1. A112
   A
2. B90
   B
3. C80
   C
4. D23
   D

The function g is defined by g(x) = √3x+1 .What is the value of g(5)?

1. A4/3
   A
2. B16/3
   B
3. C4
   C
4. D16
   D

The predicted number, B(t), of a certain type of bacterial cell in a growth medium is given by the function B(t) = 90(2)t, where t is the time, in days,since the number of bacterial cells was first measured. Which of the following is the best interpretation of B(4)= 1,440 in this context?

1. A4 days after the number of bacterial cells was first measured, the predicted number of bacterial cells was 1,440.
   A
2. B16 days after the number of bacterial cells was first measured, the predicted number of bacterial cells was 1,440.
   B
3. C1,440 days after the number of bacterial cells was first measured, the predicted number of bacterial cells was 16.
   C
4. D1,440 days after the number of bacterial cells was first measured, the predicted number of bacterial cells was 4.
   D

v =-w/150x
The given equation relates the distinct positive numbers v, w, and x. Which equation correctly expresses w in terms of v and x ?

1. Aw =-150vx
   A
2. Bw =-150v/x
   B
3. Cw =-x/150v
   C
4. Dw = v +150x
   D

What is the slope of the graph of 14x - 2y = -42 in the xy-plane?

1. A-7
   A
2. B-1/3
   B
3. C1/3
   C
4. D7
   D

The function g is defined by g(x) =3/7x - 15.What is the x-coordinate of the x-intercept of the graph of y = g(x ) in the xy-plane?

A certain neighborhood had a population of 1,170 in 2006. Each year for the next 5 years, the population of the neighborhood increased by approximately 3% of the population the previous year. Which of the following equations represents the population, N , of the neighborhood t years after 2006, where t ≤5?

1. AN = 0.03(1,170)t
   A
2. BN = 1,170(0.03)t
   B
3. CN = 1,170(1.03)t
   C
4. DN = 1.03(1,170)t
   D

A model estimates that a gray whale travels 72 to 77 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 39 days of its migration?

1. A72+39 ≤ x ≤ 77＋39
   A
2. B(72)(39) ≤ x ≤ (77)(39)
   B
3. C72 ≤ 39 + x ≤ 77
   C
4. D72 ≤ 39x ≤ 77
   D

0.27x2 +0.72x ＋ 1.53
The given expression can be rewritten as a(3x2+ 8x +17), where a is a constant. what is the value of a?

In triangle RST, the measure of angle R is 18 degrees and the measure of angle T is 72 degrees. Point L lies on RS ,point K lies on ST, and LK is parallel toRT . What is the measure, in degrees, of angle SKL? (Disregard the degree symbol when entering your answer.)

f(t) = 7,000(0.66)t
The given function f models the number of catalogs a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and 0< t <5. lf y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

1. AThe minimum estimated number of catalogs the company sent to their customers during the 5 years was 1,328.
   A
2. BThe minimum estimated number of catalogs the company sent to their customers during the 5 years was 7,000.
   B
3. CThe estimated number of catalogs the company sent to their customers at the end of 1998 was 1,328.
   C
4. DThe estimated number of catalogs the company sent to their customers at the end of 1998 was 7,000.
   D

A town manager selected 2 random samples of residents in the town to estimate the percentage of all residents that planned to vote in favor of a new business in the downtown area. Based on the first sample, he estimated that 75% of the residents in the town planned to vote in favor; with an associated margin of error of 8.5%.Based on the second sample, he estimated that 83% of the residents in the town planned to vote in favor, with an associated margin of error of 6.9%. Assuming the margins of error were calculated the same way, which of the following best explains why the first sample obtained a larger margin of error than the second sample?

1. AThe first sample contained more residents than the second sample.
   A
2. BThe first sample contained fewer residents than the second sample.
   B
3. CThe first sample contained a higher percentage of residents that planned to vote in favor of a new business in the downtown area.
   C
4. DThe first sample contained a lower percentage of residents that planned to vote in favor of a new business in the downtown area.
   D

For two acute angles,∠Q and ∠R, cosQ = sinR. The measures, in degrees, of ∠Q and ∠R are x + 27 and 4x ＋ 3, respectively. What is the value of x ?

1. A8
   A
2. B12
   B
3. C30
   C
4. D63
   D

The function f is defined by the equation f(x) = 10x ＋4. What is the value of f(x) when x = 7?

1. A21
   A
2. B38
   B
3. C47
   C
4. D74
   D

Of 400,000 objects in a group, 312,000 are new. What percentage of objects in that group are new?

1. A22%
   A
2. B44%
   B
3. C78%
   C
4. D88%
   D

9x = 36
9x - 6y = 48
What is the solution (x, y ) to the given system of equations?

1. A(4,-2)
   A
2. B(4,-14)
   B
3. C(36,48)
   C
4. D(36,12)
   D

A school swim team sold shirts to raise money.The team raised $13 from each short-sleeved shirt sold and raised $15 from each long-sleeved shirt sold. The team raised a total of $474 from the sale of these shirts. The equation 13x + 15y = 474 represents this situation. Which of the following is the best interpretation of y in this context?

1. AThe number of long-sleeved shirts sold
   A
2. BThe number of short-sleeved shirts sold
   B
3. CThe price, in dollars, of each long-sleeved shirt
   C
4. DThe price, in dollars, of each short-sleeved shirt
   D

Data set A: 2, 3, 4, 5,5
Data set B: 2, 3, 4, 10
Which of the following statements best compares the means of data set A and data set B?

1. AThe mean of data set A is less than the mean of data set B.
   A
2. BThe mean of data set A is greater than the mean of data set B.
   B
3. CThe means of the two data sets are equal.
   C
4. DThere is not enough information to compare the means.
   D

Quadrilateral ABCD is a square with diagonal AC , where AC= 13.Which of the following statements is true?

1. ABC = 26
   A
2. BCD = 13
   B
3. CAB is congruent to AC.
   C
4. D△ABC is congruent to △CDA.
   D

Lao walks at a speed of 2 miles per hour and runs at a speed of 5 miles per hour. He walks for w hours and runs for r hours for a combined total of 11 miles. Which equation represents this situation?

1. A2w + 5r = 11
   A
2. B1/2w+1/5r=11
   B
3. C1/2w+1/5r=77
   C
4. D2w + 5r = 77
   D

For the linear function f, the graph of y = f(x) in the xy-plane has a slope of 3/4 and passes through the point (12,10). which equation defines f ?

1. Af(x) = 3/4x+10/12
   A
2. Bf(x) = 3/4x+18/4
   B
3. Cf(x) = 3/4x+10
   C
4. Df(x) = 3/4x+1
   D

f(x) = x＋4
g(x) = 8x2 - rx + 128
The functions f and g are given. In function g, r is a constant. If f(x) · g(x) =8x3+512, what is the value of r?

A number x is at most 7 less than 6 times the value of y. If the value of y is 3. what is the greatest possible value of x ?

f(x) = (x - 2)(x ＋4)(x - 3)
In the xy-plane, when the graph of the function f, where y = f(x), is shifted up 6 units, the resulting graph is defined by the function g. If the graph of y= g(x) crosses through the point (5,b), where b is a constant, what is the value of b?

(x - 21)2= 1
What is the sum of the solutions to the given equation?

1. A21
   A
2. B22
   B
3. C42
   C
4. D43
   D

y = 6(x - 3)2
y = 18(x - 3)
A solution to the given system of equations is(x, y). What is one possible value of x ＋ y ?

1. A-54
   A
2. B6
   B
3. C54
   C
4. D60
   D

The quadratic function f has a factor of ( x +7.75) and a zero x = c, where c is a positive constant. The graph of y = f(x) in the xy-plane has its vertex at(-3.75,-d), where d is a positive constant. What is the value of c?

1. A0.25
   A
2. B3.75
   B
3. C4.00
   C
4. D7.75
   D

The equation 4|x -6|= k, where k is a constant, has exactly one solution. which of the following could be the value of k/4 ?

1. A-6 or 6
   A
2. B-6 only
   B
3. C0 only
   C
4. D6 only
   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) passes through the points (c, 8) and (2c, 218), where c is a constant. Which of the following could be the value of b?

1. A7
   A
2. B22
   B
3. C210
   C
4. D226
   D

56x2 +(56s ＋r )x＋rs =0
ln 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?

In December 2017, the lowest temperature recorded in a certain city was 10 degrees Fahrenheit (*F) and the highest temperature recorded was 90*F. Which inequality is true for all values of t, where t represents any temperature, in *F, recorded in the city in December 2017?

1. A10 ≤ t≤90
   A
2. Bt≤10
   B
3. Ct≤80
   C
4. Dt≥90
   D

The cost of renting a piece of construction equipment for up to 10 days is $370 for the first day and $185 for each additional day. Which of the following equations gives the cost y. in dollars, of renting the equipment for x days, where x is a positive integer and x ≤10?

1. Ay =370x - 185
   A
2. By =185x + 185
   B
3. Cy =185x +370
   C
4. Dy =370x + 185
   D