The function fx()= 206(1.034)x models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where x is the number of years after 1957. Which of the following is the best interpretation of “f(5 ) is approximately equal to 243” in this context?

The value of the bank account is estimated to be approximately 243 dollars in 1962.

The value of the bank account is estimated to be approximately 5 dollars greater in 1962 than in 1957.

The value, in dollars, of the bank account is estimated to be approximately 5 times greater in 1962 than in 1957.

The value of the bank account is estimated to increase by approximately 243 dollars every 5 years between 1957 and 1972.

For a certain rectangular region, the ratio of its length to its width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

It must increase by 24.5 units.

It must decrease by 24.5 units.

Hana deposited a fixed amount into her bank account each month. The function ft()= 100 + 25t gives the amount, in dollars, in Hana’s bank account after t monthly deposits. What is the best interpretation of 25 in this context?

With each monthly deposit, the amount in Hana’s bank account increased by $25.

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

After 1 monthly deposit, the amount in Hana’s bank account was $25.

Hana made a total of 25 monthly deposits.

Of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

It is plausible that the proportion is between 0.45 and 0.53.

It is plausible that the proportion is less than 0.45.

The proportion is exactly 0.49.

It is plausible that the proportion is greater than 0.53.

SAT Math Practice Test

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.LE.B.5, 8.F.B.4, 3.OA.A.3

+17

Standards-aligned

Anonymous Anonymous

FREE Resource

28 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

A customer spent $27 to purchase oranges at $3 per pound. How many pounds of oranges did the customer purchase?

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Tags

CCSS.3.OA.A.3

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Nasir bought 9 storage bins that were each the same price. He used a coupon for $63 off the entire purchase. The cost for the entire purchase after using the coupon was $27. What was the original price, in dollars, for 1 storage bin?

Evaluate responses using AI:

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Tags

CCSS.7.EE.B.4A

3.

OPEN ENDED QUESTION

3 mins • 1 pt

14xy 48+ = 6+xy= 72 The solution to the given system of equations is (x, y). What is the value of y?

Evaluate responses using AI:

OFF

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

OPEN ENDED QUESTION

3 mins • 1 pt

A right triangle has sides of length 2, 6, and 80 units. What is the area of the triangle, in square units?

Evaluate responses using AI:

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Tags

CCSS.6.G.A.1

5.

OPEN ENDED QUESTION

3 mins • 1 pt

The expression 2x^2 + bx - 45, where b is a constant, can be rewritten as (hx + k)(x + j), where h, k, and j are integer constants. Which of the following must be an integer?

Evaluate responses using AI:

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Point O is the center of a circle. The measure of arc RS on this circle is 100°. What is the measure, in degrees, of its associated angle ROS?

Evaluate responses using AI:

OFF

Tags

CCSS.HSG.C.A.2

7.

OPEN ENDED QUESTION

3 mins • 1 pt

The expression 5/6 * 3x^2 / 8x^2 is equivalent to ax/bx, where a and b are positive constants and x > 1. What is the value of a + b?

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.APR.D.7

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SAT Math Practice Test

28 questions

A customer spent $27 to purchase oranges at $3 per pound. How many pounds of oranges did the customer purchase?

Nasir bought 9 storage bins that were each the same price. He used a coupon for $63 off the entire purchase. The cost for the entire purchase after using the coupon was $27. What was the original price, in dollars, for 1 storage bin?

14xy 48+ = 6+xy= 72 The solution to the given system of equations is (x, y). What is the value of y?

A right triangle has sides of length 2, 6, and 80 units. What is the area of the triangle, in square units?

The expression 2x^2 + bx - 45, where b is a constant, can be rewritten as (hx + k)(x + j), where h, k, and j are integer constants. Which of the following must be an integer?

Point O is the center of a circle. The measure of arc RS on this circle is 100°. What is the measure, in degrees, of its associated angle ROS?

The expression 5/6 * 3x^2 / 8x^2 is equivalent to ax/bx, where a and b are positive constants and x > 1. What is the value of a + b?

Function f is defined by fx() = -ax + b, where a and b are constants. In the xy-plane, the graph of y = f(x) - 15 has a y-intercept at (0, -99/7). The product of a and b is 65/7. What is the value of a?

The table summarizes the distribution of color and shape for 100 tiles of equal area. If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)

fx()=2x+3 For the given function f, the graph of y = f (x) in the xy-plane is parallel to line j. What is the slope of line j ?

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