10.18.M - Practice Exam

Identify the equation for the circle with center (3, 7) that contains the point (9, 11).

(x − 3)^2 + (y − 7)^2 = 52

Solve the system of equations by graphing 9x^2 + 2y^2 = 176 8x^2 − 2y^2 = 96

(±4, ±4)

Simplify. -ln e^3/2x

- 3/2 x

Calculate using mental math. log15 1/225

-2

Identify the 8th term of the geometric sequence in which a3 = 16 and a6 = −128.

-512

A binomial experiment has 5 trials in which p = 0.5. What is the probability of 2 successes?

0.3125

A card is drawn from a deck of 52. What is the probability of drawing either a black card or a red card?

1

A bag contains yellow-, blue-, orange-, green-, red-, and black-colored crayons. The table below shows the results of selecting one crayon from the bag, recording the color, and then replacing the crayon. What is the experimental probability of selecting a crayon that is either orange or red?

1/4 = 25%

Jo has 5 sweaters. He needs to take 3 sweaters on a vacation. In how many different ways can he choose 3 sweaters out of 5?

10

Five children have to form a queue. In how many different ways can they be arranged?

120

Identify the 15th term of the arithmetic sequence in which a5 = 10 and a10 = 20.

30

Simplify 10log 343 .

343

Given f(x) = 2x2 − 3 and g(x) = x + 8, identify g(f(4)).

37

There are 32 pieces of building blocks in a bag: 8 each of blue, green, red, and yellow. Four pieces are chosen at random. Identify the probability that all 4 of the pieces are red.

7/3596

The volume V of a cone varies jointly as the area of the base B and the height h. V = 32 cm^3, when B = 16 cm^2 and h = 6 cm. Identify h when V = 60 cm^3 and B = 20 cm^2.

9 cm

Identify a possible explicit rule for the nth term of the sequence 9, 14, 19, 24, 29.

An = 5n + 4

A basket contains 6 apples and 5 oranges. Determine whether the events of picking an apple first and then an orange without replacement are independent or dependent. Then identify the indicated probability.

dependent; 3/11

Identify the function that best models the given data.

f(x) ≈ 815.03(1.38)^x

Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 5, reflected across the x-axis, and shifted by 6 units left.

g(x) = −5ln (x − 6)

Express log10 20 + log10 5 as a single logarithm and simplify.

log10 100 = 2

Identify the logarithmic form of 7^3 = 343.

log7 343 = 3

Identify the correct mean, median, and mode for the given data {2, 12, 8, 15, 8, 7, 3, 9}

mean: 8, median: 8, mode: 8

Evaluate the function at x = −3 and x = 5.

p(−3) = 3.25 p(5) = 3.75

Given f(x) = x2 + 6 and g(x) = x − 3, identify (fg)(x).

x3 − 3x2 + 6x − 18

Identify the asymptote of the function g(x) = 2^0.5x − 2.

y = -2

Harry started a school in the year 2000. The number of students was 500 in the beginning and is increasing at a rate of 13% each year. Use a graph to predict the number of students in the year 2020.

≈ 5762