1. Without your calculator, arrange the following numbers in order from smallest to largest.
A.) c, b, d, a
B.) b, c, a, d
C.) c, b, a, d
D.) c, a, d, b
E.) None of these

2. E. Hold all of them for questioning A.) B.) C.) D.)
Without your calculator: An irrational number stole Polly Nomial's purse. When the police asked for a description of the culprit, she sobbed: He was bigger than but smaller than with a shady look in his eyes. Four suspects were lined up. Which suspects can be dismissed?
E. Hold all of them for questioning
A.) B.) C.) D.)

3. Which radical expressions are equivalent to ?
F.) None of these

4. Which radical expressions are equivalent to ?
F.) None of these

5. Grade the teacher's work!
Directions:
Multiply and simplify, if possible
Grade the teacher's work!
No errors = A
One error = B
Two errors = C
Three errors = D
Four or more = F
Answer:

6. A.) What is ?
B.) What is ?
C.) What is ?
D.) What is ?
E.) What is ?
F.) None of these

7. Which radical expressions are equivalent to ?
F.) None of these

8. A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5 How Many Statements are True? 3.)
1.) In the expression , 6 is the radicand
2.) The square root of a product is the
product of the square roots.
3.)
4.) The square root of a sum is the sum of
the square roots.
5.) To rationalize the denominator of we would
multiply the fraction by
A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5

9. What is xy? and B.) C.) Given: D.) A.) E.) F.) None of these x 5 y 5
hypotenuse
leg
The Pythagorean Theorem describes the relationship between the lengths of the sides of a right triangle. The theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. In the triangle shown that would be: a2 + b2 = c2. a b c 5 x 5 y
Given:
and
What is xy?
B.)
C.)
D.)
A.)
E.)
F.) None of these

10. The "size" of a TV set is the measure of its diagonal
The "size" of a TV set is the measure of its diagonal. A 31-inch set has a diagonal of 31". A 31-inch 4:3 (standard) television set has a height of 18.6 inches. What is the viewing area? (rounded to nearest square inch)
A.) 461 in2
B.) 432 in2
C.) in2
D.) 769 in2
E.) 577 in2
F.) None of these
diagonal
height

11. The "size" of a TV set is the measure of its diagonal
The "size" of a TV set is the measure of its diagonal. A 31-inch set has a diagonal of 31". A 31-inch 16:9 HDTV has a height of 15.2 inches. What is the viewing area? (rounded to nearest square inch)
A.) 240 in2
B.) 270 in2
C.) 409 in2
D.) 471 in2
E.) 837 in2
F.) None of these
diagonal
height

12. Without your calculator, find the area of the triangle.
Assume measurements are in centimeters. 1 2
A = bh
A.) more than 11 cm2 but
less than 12 cm2.
B.) more than 12 cm2 but
less than 13 cm2.
C.) more than 9 cm2 but
less than 11 cm2.
D.) more than 23 cm2 but
less than 24 cm2.
E.) more than 22 cm2 but
less than 23 cm2.
hint: compute the area in radical form first, then estimate the value of the area
F.) None of these

13. A.) Less than 3 in2 B.) Between 3 and 5 in2
Without your calculator,
find the area of the shaded region
hint: compute the area in radical form first, then estimate the value of the area.
Measurements are in inches.
A.) Less than 3 in B.) Between 3 and 5 in2
C.) Between 5 and 7 in2 D.) Between 7 and 9 in2
E.) Between 9 and 11 in2 F.) More than 11 in2

14. A.) B.) C.) E.) D.) F.) None of these
A baseball diamond is a square with 90 feet on a side. A 3rd baseman fields a sharp grounder down the 3rd baseline and throws the ball from 3rd to 1st base. His throwing speed is 75 mph (110 ft/sec). How long will it take for the ball to reach 1st base?
A.)
B.)
C.)
D.)
E.)
F.) None of these

15. Use Heron's formula to compute the area
Another formula for determining the area of a triangle is Heron's formula. It requires the measure of all three sides of the triangle (labeled a, b, c). Using the 3 sides, first compute the "semi-perimeter" (1/2 of the perimeter) and label it s. Then a b c
Heron's Formula is
Use Heron's formula to compute the area
of a triangle with sides: 5 ft, 8 ft, 9 ft. 5 8 9
A.)
B.)
C.)
D.)
E.)
F.) None of these

16. A.) Fight the ticket B.) Pay the ticket
The formula can be used to estimate the minimum speed of a car prior to jamming on the brakes. S is the speed in miles per hour, d is the length of the skid mark and f is the friction or drag from the road surface. The average value of f on a cement road is .875 and on asphalt it is .7. An Ace Algebra student screeched to a halt at a police road block on an asphalt road. The police measured the skid at 55 feet but incorrectly used the cement road drag factor. The student knew the skid mark was really 60 feet long. Should he:
A.) Fight the ticket B.) Pay the ticket