Test 12, Units 1 - 15

Question 1

T or F: The hypotenuse is the longest side in a right triangle.

Answer 1

true

Question 2

T or F: The absolute value of -8 is 8

Answer 2

true

Question 3

An isosceles triangle has ____ congruent sides.

Answer 3

isosceles has 2 congruent sides

Question 4

The cosine is the ratio between the length of the _______ leg to the length of the hypotenuse.

Answer 4

adjacent

Question 5

The boiling point of water is _____ degrees C.

Answer 5

100

Question 6

The expression 28xyz has how many terms?

Answer 6

one, it is monomial

Question 7

T or F: Shapes that have the same size & shape are said to be similar

Answer 7

False

Question 8

T or F: The points where the sides of a polygon meet are called the vertexes.

Answer 8

true

Question 9

T or F: A heptagon is a seven-sided polygon

Answer 9

true

Question 10

T or F: An acute angle has more than 90 degrees but less than 180 degrees.

Answer 10

False. Obtuse.

Question 11

Write the formula for finding the area of a triangle

Answer 11

A = 1/2bh

Question 12

Write the simple interest formula

Answer 12

i = prt

Question 13

Write the formula for finding the circumference of a circle using the diameter

Answer 13

C = pid

Question 14

Write the formula for finding the volume of a cylinder.

Answer 14

V = pir²h

Question 15

Write the formula for finding the perimeter of a square

Answer 15

P = 4s

Question 16

Convert 120 miles to the nearest whole kilometer. Remember that 1 mi. = 1.61 km

Answer 16

120 x 1.61 =

193 km

Question 17

Convert 45 degrees C to the Fahrenheit scale.

Answer 17

9/5C + 32 = F

9/5 x 45 + 32 = F

81 + 32 = F

113 = F

113 degrees F.

Question 18

Find the approximate number of miles 23 North latitude is from the equator. Remember that the distance between 1 degree of latitude is approximately 69 miles.

Answer 18

23 x 69 =

1587 mi.

Question 19

Write the time in the Central Zone if the time in the Pacific Zone is 11:35 P.M.

Answer 19

Difference is +2 hours, so:

1:35 A.M.

Question 20

Write the number of centimeters in 3.5 meters.

Answer 20

100 centimeters in a meter so:

3.5 x 100 =

350 cm

Question 21

Write the number of inches needed to represent 25 miles on a map if 1/2 inch represents 50 miles.

Answer 21

25/50 = .5 or 1/2, so 1/2 inch x 1/2 =

1/4 in.

Question 22

Write the number of ounces in 3 1/2 pounds.

Answer 22

16 oz. in a lb., so 3 1/2 x 16 =

56 oz.

Question 23

Round off 0.579 to the nearest hundredth.

Answer 23

0.58

Question 24

Write the number of degrees in a right angle.

Answer 24

90

Question 25

Write the value of x in 5/8 = x/16

Answer 25

x = 10

Question 26

Write the length of the radius if the diameter is 6 cm.

Answer 26

3 cm

Question 27

Write the sum of -6 and -8.

Answer 27

-14

Question 28

change 34/5 to a mixed number

Answer 28

6 4/5

Question 29

Express 1/4% as a decimal.

Answer 29

.0025

Question 30

4732 -1586 \_\_\_\_\_\_\_

Answer 30

3146

Question 31

486 x509 \_\_\_\_\_\_

Answer 31

247,374

Question 32

1. 43 8. 097 +6.54 \_\_\_\_\_\_\_\_\_

Answer 32

16.067

Question 33

.504 x .007 \_\_\_\_\_\_\_

Answer 33

.003528

Question 34

16 2/3 - 7 4/5 \_\_\_\_\_\_\_\_\_

Answer 34

8 13/15

Question 35

15 7/8 9 1/2 + 6 1/3 \_\_\_\_\_\_\_\_\_

Answer 35

31 17/24

Question 36

9 3/8 x 8/15

Answer 36

75/8 x 8/15 5/1 x 1/1 = 5

Question 37

1 1/4 divided by 2

Answer 37

5/4 x 1/2 = 5/8

Question 38

25% of 600

Answer 38

.25 x 600 150

Question 39

4 is what % of 80?

Answer 39

4/80 = .05 5%

Question 40

75 is 30% of what number?

Answer 40

change 30% to a decimal .3 divided the percentage (75) by the decimal 75/.3 = 250

Question 41

12 hr. 30 min. -7 hr. 45 min. \_\_\_\_\_\_\_\_\_\_\_\_\_

Answer 41

11 hr. 90 min. -7 hr. 45 min. \_\_\_\_\_\_\_\_\_\_\_ 4 hr. 45 min.

Question 42

5 lb. 6 oz. x 7 \_\_\_\_\_\_\_\_\_

Answer 42

35 lb. 42 oz. but you want the ounces to be less than 16, so see how many times 16 goes into 42. 2 times with 10 left over, so add those 2 to the pounds. 37 lb. 10 oz.

Question 43

27.612 divided by 7.8

Answer 43

3.54

Question 44

5 divided by 9 (nearest hundredth)

Answer 44

.56

Question 45

6 + 7 x 3² - 8 =

Answer 45

6 + 7 x 9 - 8 = 6 + 63 - 8 = 69 - 8 = 61

Question 46

Find the area of a square - s = 9 cm

Answer 46

A = s² A = 81 cm²

Question 47

Find the area of a triangle - b = 9ft.; h = 6 ft.

Answer 47

A = 1/2bh A = 1/2 x 54 A = 27 sq. ft.

Question 48

Find the area of a trapezoid - b₁ = 15 m; b₂ = 12 m; h = 10 m

Answer 48

A = h(b₁ + b₂)/2 A = 10(15 + 12)/2 A = (10 x 27)/2 A = 270/2 A = 135 m²

Question 49

Find the volume of a cube - e = 4in.

Answer 49

V = e³ V = 4 x 4 x 4 V = 64 cu. in.

Question 50

Find the volume of a rectangular solid - l = 10 ft.; w = 6 ft.; h = 3 ft.

Answer 50

V = lwh V = 10 x 6 x 3 V = 60 x 3 V = 180 cu. ft.

Question 51

Find the volume of a cylinder - r = 2 cm; h = 3 cm

Answer 51

V = pir²h V = 3.14 x 4 x 3 V = 37.68 cm³

Question 52

3x - 3 = 12

Answer 52

3x - 3 + 3 = 12 + 3 3x = 15 3x/3 = 15/3 x = 5

Question 53

2/3x = 10

Answer 53

3/2 x 2/3x = 10 x 3/2 x = 30/2 x = 15

Question 54

5x - 2x = 15

Answer 54

3x = 15 x = 5

Question 55

6x + 3 = 4x + 11

Answer 55

6x + 3 - 3 = 4x + 11 - 3 6x = 4x + 8 6x - 4x = 4x - 4x + 8 2x = 8 x = 4

Question 56

8 - (-5) =