High School Math Quiz

Hana deposited $1,000 in her bank account. The function f(t)=25t+1,000 represents the amount, in dollars, in Hana’s bank account after t months. What is the best interpretation of 25 in this context?

• After 1 month, the amount in Hana’s bank account is $25.

• Before Hana made any deposits, the amount in her bank account was $25.

• For each month, the amount in Hana’s bank account increases by $25.

• Hana made a total of 25 monthly deposits.

The remainder when dividing the expression 5x^3+4x^2−2x+4 by 3x+2 is:

• 4

• 140/27

• 152/27

• 152/9

If A and B are two equal real numbers such that A=3/2x−1+2(x−3) and B=2x+1/7, then the value of 3A is:

• −15

• 0

• 29

• 58

The solution to the given system of equations 24x+y=48 and 6x+y=72 is (x,y). What is the value of y?

• y=−10

• y=−4/3

• y=18

• y=80

The given table represents the linear function g(x). What is the value of n+g(b+15)?

• 72

• 78

• 84

• 90

For a certain rectangular region, the ratio of its length to its width is 35:10. If the width increases by 7 units, by how many units must the length increase to keep the same ratio?

• 12.5

• 14.0

• 24.5

• 28.0

The table above shows the distribution of color and shape of 100 tiles of equal area. If one of these tiles is selected at random, what is the probability of selecting a red tile?

• 0.30

• 0.25

• 0.20

• 0.15

Circle C of center A (shown above) is translated downward by 6 units and scaled by a factor of 2. Which equation defines the new circle?

• (x+2)^2+(y+6)^2=36

• 1/2(x+2)^2+1/2(y+6)^2=9

• 2(x+2)^2+2(y−6)^2=9

• (x+2)^2+(y−6)^2=36

Which of the following equations is the most appropriate linear best-fit model for the data shown?

• y=6x+45.0

• y=6x+47.6

• y=47.6x−6

• y=1/6x+47.6

Based on the line of best fit, what is the expected grade of a student who studied for 8 hours?

• 48.9

• 52.1

• 95.6

• 97.6