Test 12 - Final Exam

Question 1

542

x786

Answer 1

426,012

Question 2

9. 4
   - 6.783

Answer 2

2.617

Question 3

15% of $8,000

Answer 3

$1,200

Question 4

2438783 divided by 893

Answer 4

2731

Question 5

3 1/3

• 2 2/5

Answer 5

3 5/15 = 2 20/15

• 2 6/15 = - 2 6/15

           14/15

Question 6

4 1/2 divided by 3/8 =

Answer 6

9/2 x 8/3 =

3/1 x 4/1 = 12

Question 7

1 1/4% of $550

Answer 7

550 x .0125 = 6.875

round to $6.88

Question 8

square root of 1,296

Answer 8

36

Question 9

8³

Answer 9

512

Question 10

4x + 7 = 23

Answer 10

4x + 7 - 7 = 23 - 7

4x = 16

4x/4 = 16/4

x = 4

Question 11

• 12
• (-16)

Answer 11

-12

+16

4

Question 12

3x²y(2xy³)

Answer 12

6x³y⁴

Question 13

+18 divided by -9

Answer 13

-2

Question 14

16ab³ divided by 4a²b²

Answer 14

16ab³ just cancel out

———— =

4a²b² just cancel out

4b

a

Question 15

6 g 91 mg

x 8

Answer 15

48 g 728 mg

Question 16

2.5 lb. = ________ kg

Answer 16

.45 x 2.5 = 1.125

Question 17

12 is what % of 20?

Answer 17

12 60

—- = —– = 60%

20 100

Question 18

7 x

– = –

12 15

Answer 18

Cross multiply to get 12x = 105. Divide both sides by 12 to get:

12x 105 cancel the 12’s on the left to get x =

—- = —— divide 105 by 12 to get 8.75

12 12 x = 8.75

Question 19

10 mi. = ______ km

Answer 19

1.61 x 10 = 16.1 km

Question 20

24a²b²c - 36ab³c²

         3ab<sup>2</sup>

Answer 20

divide each side of the top equation by the bottom because the top equation cannot be combined. Remember you just divide the numbers & cancel out the letters. If there is a² on top & a on bottom, 1 a on top cancels with the a on bottom to leave a¹ on top that you write as a.

8ac - 12bc²

Question 21

Multiply (2x + 5) (3x - 2)

Answer 21

2x + 5

                         3x -  2

                         \_\_\_\_\_\_

                       - 4x  -  10

             6x<sup>2</sup>  +  15x

            \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_

             6x<sup>2</sup>   +  11x  -  10

Question 22

write the formula used to find the length of the hypotenuse in a right triangle.

Answer 22

c² = a² + b²

Question 23

write 13,000,000,000 using scientific notation.

Answer 23

1.3 x 10¹⁰

Question 24

find the mean of 240; 317; 188; 439

Answer 24

296

Question 25

find the area of a rectangle that is 12 ft. x 15 ft.

Answer 25

A = lw A = 12 x 15 A = 180 sq. ft.

Question 26

find the circumference of a circle with a radius of 4 ft.

Answer 26

C = 2pir C = 2 x 3.14 x 4 C = 25.12 ft.

Question 27

find the simple interest on $2,000 for 3 years at 12 1/2 % interest.

Answer 27

I = principle x time (years) x interest I = 2000 x 3 x .125 I = $750

Question 28

find the volume of a cube with 5 ft. edges

Answer 28

V = e³ V = 5³ V = 125 cu. ft.

Question 29

find the surface area of a cube with 4.1 in. edges

Answer 29

SA = 6e² SA = 6 x 4.1² SA = 6 x 16.81 SA = 100.86 sq. in.

Question 30

find the volume of a cylinder with a raduis of 10 in. and a height of 8 in.

Answer 30

V = pir²h V = 3.14 x 10² x 8 V = 2512 cu. in.

Question 31

write .00009 using scientific notation

Answer 31

9 x 10^-5

Question 32

find the median of 17; 21; 16; 14; 18; 12; 19

Answer 32

12, 14, 16, 17, 18, 19, 21 17

Question 33

evaluate 6x + 3xy if x = -2 and y = 6

Answer 33

6(-2) + 3(-2)(6) - 12 + (-36) - 48

Question 34

simplify 4x + 3y + 6x - 4y + 2y

Answer 34

4x + 6x + 3y - 4y + 2y 10x +3y - 2y 10x + y

Question 35

find the social security tax on $350 at a rate of 7.65%

Answer 35

350 x .0765 $26.78

Question 36

write the number of degrees in a circle

Answer 36

360^o

Question 37

write the name of the lines in the same plane that never intersect

Answer 37

parallel

Question 38

find the number that is 2 more than 3 times 5

Answer 38

2 + 3 x 5 17

Question 39

find the area of a triangle that has a base of 6 ft. and a height of 5 ft.

Answer 39

A = 1/2 b h A = 1/2 x 6 x 5 A = 1/2 x 30 A = 15 sq. ft.

Question 40

find the length of the hypotenuse if the legs are 6 ft. and 8 ft.

Answer 40

c² = a² + b² c² = 6² + 8² c² = 36 + 64 c² = 100 c = 10 ft.

Question 41

T or F: the antecedent is the second term in a ratio.

Answer 41

F

Question 42

T or F: A rectangular prism has 6 faces.

Answer 42

T

Question 43

T or F: Tax is protection against material loss.

Answer 43

F

Question 44

T or F: the length of the radius is one half the length of the diameter.

Answer 44

T

Question 45

T or F: A compass is used to measure angles

Answer 45

F

Question 46

T or F: An equilateral triangle has three congruent sides

Answer 46

T

Question 47

T or F: A circle graph compares the parts to the whole

Answer 47

T

Question 48

T or F: A rational number is a nonterminating, nonrepeating number

Answer 48

F

Question 49

T or F: A cylinder is a solid shape

Answer 49

T

Question 50

T or F: Installment buying is buying on time

Answer 50

T