polynomial functions
logs
tcap 2025
Tcap
probabilty
100

Find the zeros.

f(x)=(x-3)(x+2)2​​​​


X=-2

x=3

100

What is the value of log381

4

100

Brian has some quarters and nickels. He has three times as many quarters as nickles, and the coins are worth a total of $11. Which augmented matrix can be used to determine the number of quarters and the number of nickel Brian has? Not multiple choice.

1 -3:0

.25 .75:11

100

312x=9x+7

What value of x,rounded to the nearest tenth, is a solution to the equation?

X=1.4

100

A bag contains 5 red, 3 blue, and 2 green marbles. One marble is randomly selected. What is the probability the marble is NOT blue?

 7/10

200

The polynomial f(x) = X2+kx+81 is a perfect Trinomial. What is the value of k?

K = 18

200

Which expression is equivalent to log5125=3

53=125

200

What statements describe parameters? Select THREE

A.The mean height of all 15 players on a basketball team is 73 inches.

B. There are 240 trees in an orchard, and 30% of them are apple trees.

C. Out of 32 employees at a company, the range of the employe ages is 25 years.

D.The standard deviation of the weights of a random sample of 95 bluebirds is 1.1 grams.

E. A teacher asked a random sample of 20 students what their favorite season is, and 45% said summer.

A.

B.

C.

200

A factory packages bags of flour. The weights of the bags are normally distributed with a mean weight of 5.0 and a standard deviation of .08 pound. Quality testers find a bag of flour that weighs 4.95 pounds. What is the z-score of this bag’s weight?

-.625

200

A spinner has 4 equal sections numbered 1-4. A coin is flipped. What is the probability of landing on 4 AND getting heads? 

1/8

300

Find the zeros


2x3-5x2-18x +45

X = -3 x= 5/2 x = 3

300

Simplify:

log(x2y)-log(x)

 log(xy)
300

A certain cylinder has a radius of r inches. It’s volume in cubic inches is given by the expression 2 pie r^3. What statement must be true?

A.Cylinders radius is 2 inches.

B.Cylinder’s height is 2 inches

C.Cylinders radius is 2 times its height.

D.Cylinder’s height is 2 times its radius.

D

300

A company assigns each employee a random 6-letter code,using the letters E,F,G, and H. Letters can be repeated. Which number is closest to the probability that an employee’s code will not contain the letter G

0.18
300

A box contains 6 math books and 4 science books. Two books are chosen without replacement. What is the probability both books are math?

1/3

400

What is the remainder when (x3+8x2+6) is divided by (x+4)?

70

400

 log2(x-1)=4

15

400

The length of songs in a playlist are normally distributed with a mean time of 140 seconds and a standard deviation of 10 seconds. Which number of seconds is closest to the length of a song on the playlist with a z-score of -0.5.

B.

400

The volume V of a cylinder with length h and radius r is given by V=pier2h. An unsharpened pencil has a length of 17.5 centimeters and a radius of 5 millimeters. Which value is closest to the volume of the pencil,in cubic centimeters?

13.74

400

The probability that is rains tomorrow is 0.35 . What is the probability it does not rain?

.65
500

Determine whether x+1 is a factor of the polynomial

—2x+ 3x3 + x - 6

It is not a factor 

500
 log(x)+log(x-3)=1

5

500

A store sells roses. Last week, the store sold 250 roses at a price of $4 per rose. The store manager predicts that each increase of $1 per week. Which equation represents the predicted total weekly revenue, R, in dollars, if the store increases the price of each rose by x dollars.

D.

500

A circle has a center at (6,2). Point B (12,15.75) is on the circle. What is the radius of the circle, rounded to the nearest whole unit?

15

500

How many different ways can 5 students line up in a row?

120
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