Digital SAT Math Practice Test with Answers (Part - 9)

Question 1 :

If 3 more than the square of m is less than m multiplied by 4, what is one possible value of m?

Answer :

Question 2 :

In the equation above, a, b and c are constants. If the equation is true for all values of x, what is the value of a + b + c?

Answer :

Question 3 :

5x + 16y = 36

cx + dy = 9

The system of equations above, where c and d are constants has infinitely many solutions. What is the value of cd?

Answer :

Question 4 :

A hair shampoo comes in regular bottles and deluxe bottles. A deluxe bottle contains 6 more ounces of shampoo than a regular one. If four regular bottles and three deluxe bottles contain a total of 74 ounces of shampoo, how many ounces of shampoo does a deluxe bottle contain?

Answer :

Question 5 :

How many different integer values of x satify the inequality above?

A)  6

B)  7

C)  8

D)  9

Answer :

Question 6 :

T = 150 + 20w

Cassy plans to buy a new computer and plans to save $20 each week for the next w weeks. The total amount of money she saved is represented by the equation above, where T is the total amount. Which of the following is the best interpretation of the number 150 in the equation?

A)  The new computer costs $150.

B)  She saved $150 each week.

C)  She wants to buy a computer when she saves $150.

D)  She has already saved $150 toward the cost of a new computer.

Answer :

Question 7 :

The chart above shows equivalent ages for dogs and humans. Human age is directly proportional to dog age. What is the value of a + b?

A)  60

B)  75

C)  80

D)  85

Answer :

Question 8 :

If the fraction (a - 5)/2b, a is 5 less than two times b. If the fraction is equal to 1/2, what is the value of a?

A)  15

B)  20

C)  25

D)  30

Answer :

Question 9 :

Tyler spent 60 dollars at an amusement park for admission and rides. If he paid $10 for admission and rides cost $3 each , what is the maximum number of rides that he went on?

A)  16

B)  17

C)  18

D)  20

Answer :

Question 10 :

For a summer school convert, one type of ticket costs $5 and another costs $10. The supervisor of the concert can sell at most 500 tickets, but the gross receipts must total at least $3,000 in order for the concert to be held. Which of the following systems of inequalities could represent this relationship?

Answer :

Question 11 :

Stephen wins the lottery and decides to donate 30% of his winning to charity. Then he decides to give 20% of what he has left to his mother. What percent of his winning does Stephen has left for himself?

A)  67%

B)  56%

C)  54%

D)  50%

Answer :

Question 12 :

The perimeter of an equilateral triangle with sides of length s is p. What is the perimeter of a square with sides of length 3s, in terms of p?

A)  p²

B)  12p

C)  4p

D)  3p

Answer :

Question 13 :

If k is an integer constant greater than 1, which of the following values of x satisfies the above inequality?

A)  k – 3

B)  k

C)  3k – 4

D)  3k – 2

Answer :

Question 14 :

If r + 9 is 4 more than s, then r – 11 is how much less than s?

A)  9

B)  11

C)  16

D)  20

Answer :

Question 15 :

If x < y and -3x > y, which of the following must be true?

A)  x < 0

B)  y > 0

C)  |x| > y

D)  x² > y

Answer :

Question 16 :

The graph above shows the density, in kilograms per liter, of Liquid X at different temperatures. Based on the graph, which of the following is the mass, in kilograms, of 10 liters of Liquid X at 9 degrees celsius?

A)  6

B)  60

C)  600

D)  6000

Answer :

Question 17 :

In the figure above, the circle has center O and segment AB is tangent to the circle. If angle ABO measures π/10 radians and the area of the shaded sector is π, what is the area of the circle?

A)  5π

B)  6π

C)  8π

D)  9π

Answer :

Question 18 :

A person’s maximum heart rate, in beats per minute, can be estimated by the expression 220 – x, where x is the person’s age in years for 20 ≤ x ≤ 70. If it is generally recommended that at least 50%, but not more than 80% of the maximum heart rate be reached during exercise, which of the following inequalities represents the target heart rate h, in beats per minute, for a 30-year-old?

A)  105 ≤ h ≤ 152

B)  105 ≤ h ≤ 180

C)  95 ≤ h ≤ 152

D)  95 ≤ h ≤ 180

Answer :

Question 19 :

A scoop of sugar is added to a drink. The amount of sugar a in grams that is dissolved in the drink s seconds after the sugar has been added is represented by the equation below.

What is the best interpretation of the number 8 in this context?

A) There was 8 grams of sugar already dissolved in the drink before the scoop of sugar was added.

B)  Every 8 seconds, all the added sugar will be dissolved in the drink.

C) After 8 seconds, all the added sugar will be dissolved in the drink.

D) After a very long time, the amount of sugar dissolved in the drink will approach 8 grams.

Answer :

Question 20 :

The bar chart above shows the distribution of jean sizes for 45 customers at Store A and 45 customers at Store B. Which of the following correctly compares the standard deviation of jean sizes for the customers at each of the stores?

A) The standard deviation of jean sizes for the customers at store A is larger.

B) The standard deviation of jean sizes for the customers at store B is larger.

C) The standard deviation of jean sizes for the customers at store A and Store B is the same.

D) The relationship cannot determined from the information given.

Answer :

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