# Math Quiz - No Calculator

Each question on this quiz is associated with a skill that appears on the SAT. Your starting level for that skill will be set by whether you answer correctly (Skill level 3) or incorrectly (Skill level 2).

The higher your skill level, the harder the questions:
 Skill level 4 You can reach this level later through practice. These are the harder SAT questions for this skill. Skill level 3 You'll start here when you answer a question correctly on this quiz. These are the medium-difficulty SAT questions for this skill. Skill level 2 You'll start here when you answer a question incorrectly on this quiz. These are the easier SAT questions for this skill. Skill level 1 You'll practice these later if you have trouble with Skill level 2 questions. These questions will develop your foundations for answering SAT-difficulty questions for this skill.

#### Math Quiz - No Calculator

Question 1 of 16.

1. -11
2. -17
3. 17
4. 11

### Here's Why:

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Question 2 of 16.

### The function f (x) =ax^3 where a > 0 is an odd function such that f (-x)= -f(x) for all x. For the function g(x) =ax^3 -14 we know that g(3) = 40. What is the value of g (-3) ?

1. -68
2. 40
3. 40
4. 0
Question 3 of 16.

### For i=√-1, what is the product (-3+5i)(-2-i)?

1. 1-7i
2. 11-7i
3. 1+13i
4. 11-13i
Question 4 of 16.

### h = 4c-109.15

The model above estimates the height h in cm of a baby boy in terms of its head circumference c. A baby boy’s head circumference has increased from 44.2 to 45.7cm. What is the estimated height increase of the baby boy in cm?

1. 6.0
2. 5.9
3. 1.5
4. 6.1
Question 5 of 16.

### Which of the following represents the total number of characters typed by both Anna and Bill in that morning?

One morning in the office Anna typed a text in 15 minutes with an average typing speed of k characters per minute.

At the same time Bill typed a different text in 0.1 hours with an average typing speed of l characters per minute.

1. 15k+10l
2. 15k+6l
3. 6k+15l
4. 0.25k + 0.1l
Question 6 of 16.

### Which of the following statements must be true?

Catherine is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P=108-23d , where P is the number of phones left and d is the number of days she has worked that week ( 0≤d≤5).

I. The number of phones for repair that are assigned to Catherine at the start of each week are less than five times her daily capacity for repair.

II. The value 23 represents Catherine’s capacity for repair per hour.

III. Catherine is capable of repairing at least 5 more phones than what she is given each week.

IV. Catherine is capable of repairing exactly 7 more phones than what is given each week.

1. I and IV only
2. II and III only
3. I only
4. I, III and IV only
Question 7 of 16.

### h = 4c-109.15

The model above estimates the height h in cm of a baby boy in terms of its head circumference c. A baby boy’s head circumference has increased from 44.2 to 45.7cm. What is the estimated height increase of the baby boy in cm?

1. 1.5
2. 6.0
3. 5.9
4. 6.1
Question 8 of 16.

### What is the value of g (-3) ?

The function f (x) =ax^3 where a > 0 is an odd function such that f (-x)= -f(x) for all x. For the function g(x) =ax^3 -14 we know that g(3) = 40.

1. 40
2. -40
3. -68
4. 0
Question 9 of 16.

### Which of the following best approximates the remaining gas in the truck at the time when the gas in the gas station tank is half the gas in the truck?

The gas pump of a truck starts pouring gas into a gas station tank which is initially filled with 800 liters. The remaining gas in the truck t minutes after the filling process has started is given by the equation b =3,850-150t while the total gas in the gas station tank at the same time is given by the equation c = 800+150t.

1. 2,350
2. 1,400
3. 1,600
4. 3,100
Question 10 of 16.

### The domain of a linear function is the interval (-1,3) and its graph passes through the (-1,8) point and has a slope of −2. Which of the following points does not lie on the function’s graph?

1. (3,0)
2. (0,6)
3. (1,4)
4. (1.5,3)
Question 11 of 16.

### Which of the following expressions has to have a known value so that the above ratio also has a known value?

1. 2x-2y
2. 3x-2y
3. 3x-4y
4. x-2y
Question 12 of 16.

### h = 4c-109.15

The model above estimates the height h in cm of a baby boy in terms of its head circumference c. A baby boy’s head circumference has increased from 44.2 to 45.7cm.

What is the estimated height increase of the baby boy in cm?

1. 6.1
2. 5.9
3. 6.0
4. 1.5
Question 13 of 16.

### If (2x-a)(3x+b)=(a+b-5)x^3+6x^2+cx-6 for all values of x, what are the two possible values for c?

1. 5 and 0
2. 5 and 6
3. 5 and −6
4. −5 and 0
Question 14 of 16.

### What is the value of g (-3)?

The function f (x) =ax^3 where a & gt; 0 is an odd function such that f (-x)= -f(x) for all x. For the function g(x) =ax^3 -14 we know that g(3) = 40.

1. -68
2. -40
3. 40
4. 0
Question 15 of 16.

### Which of the following represents the total number of characters typed by both Anna and Bill in that morning?

One morning in the office Anna typed a text in 15 minutes with an average typing speed of k characters per minute. At the same time Bill typed a different text in 0.1 hours with an average typing speed of l characters per minute.

1. 6k+15l
2. 0.25k + 0.1l
3. 15k+10l
4. 15k+6l
Question 16 of 16.

### Which of the following best approximates the remaining gas in the truck at the time when the gas in the gas station tank is half the gas in the truck?

The gas pump of a truck starts pouring gas into a gas station tank which is initially filled with 800 liters. The remaining gas in the truck t minutes after the filling process has started is given by the equation b =3,850-150t while the total gas in the gas station tank at the same time is given by the equation c = 800+150t.

1. 2,350
2. 3,100
3. 1,400
4. 1,600

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