1. Rosa, Roberto, Andrea, and Inno find an estimate for the square root of 10. Who has proposed the best solution?

A. Rosa: "Use the square root of 9 and the square root of 25 to estimate."
B. Roberto: "I will use the square root of 4 and the square root of 9."
C. Andrea: "It should be the square root of 11 and the square root of 12."
D. Inno: "Use the square root of 9 and the square root of 16 to find the estimate."

2. Joy knits a square blanket that has an area of 1,500 square inches. What is the approximate length of each side of the blanket?

A. 16 inches
B. 27 inches
C. 39 inches
D. 42 inches

3. An example of an irrational number is ___.

A. -the square root of 17
B. the square root of 16
C. -the square root of 9\
D. the square root of 1

4. Which statement is true?

A. Every real number is an integer.
B. Every rational number is a real number.
C. Every rational number is a perfect square.
D. EVery integer is an irrational number.

5. As an estimate for the square root of 47 is between ___.

A. 4 and 5
B. 5 and 6
C. 6 and 7
D. 7 and 8

6. An estimate for -the square root of 72 is ___.

A. -8.1
B. -8.5
C. -9.1
D. -9.5

7. The formula v=the square root of 64h can be used to find the velocity, v, in feet per second, of an object that has fallen h feet. Find the velocity of an object that has fallen 75 feet. Round to the nearest tenth.

A. 6.9 fts/s
B. 69.2 ft/s
C. 69.4 ft/s
D. 69.3 ft/s

8. When a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2. The formula assumes that there is no air resistance. Find the time it takes a skydiver to fall 1,551 ft before opening the parachute. Round to the nearest tenth.

A. 9.7 s
B. 9.8 s
C. 9.9 s
D. 2.5 s

1. Well, it's a tough one, but I have to go with B. Roberto's solution seems to be the most logical. After all, if we're finding the square root of 10, using the square root of 4 and the square root of 9 as estimates makes sense. At least, it's certainly better than using completely unrelated numbers like in the other options!

2. Joy must be knitting a really big blanket! If the area is 1,500 square inches, then the length of each side should be the square root of 1,500, which is approximately 38.73. Hmm, since we're looking for an approximation, let's go with C. 39 inches. Almost there, Joy!

3. Ah, the realm of irrationality! Option A, the square root of 17, takes the crown. Why? Well, it's because this number cannot be expressed as a simple fraction or decimal. It goes on and on and on...just like those endless office meetings.

4. Ah, the true and false of numbers! B, my friend. Every rational number is indeed a real number. Rational numbers, unlike your irrational ex, can be expressed as fractions, while real numbers include all rational and irrational numbers. So, rest assured that your rational friends are indeed part of the real crowd.

5. Ah, estimates, my specialty! Since the square root of 47 is roughly 6.8556546 (oh, how numerical precision tickles me!), we can say it falls between B. 5 and 6. You could say it's somewhere in that "5.9"ish limbo.

6. Negative numbers and square roots? Quite the combo! For the square root of 72, taking into account the negative sign, let's go with A. -8.1. It has that perfect blend of negativity and uncertainty.

7. Ah, the formula for falling objects, a true gravitational hit! Plugging h = 75 into the formula v = square root of 64h, we get C. 69.4 ft/s. That's quite a velocity for a falling object, isn't it?

8. Oh, the adrenaline of skydiving! To fall 1,551 ft., we can use the formula d = 16t^2. Plugging in d = 1551, we get t ≈ 9.8 seconds. So, B. 9.8 seconds should do the trick. Just remember to open that parachute, my friend!

1. 3^2 = 9 and 4^2 = 16 so sqrt 10 is between 3 and 4

2. sqrt 1500 = 10 sqrt 15 which is a little less than 10*4
3. oh come on, you try some. all of your choices but one are perfect squares.