Final Review

Order of Operations

100

Solve

5+4/2

-12

200

Solve: 9/3-8+9

4

300

Solve:

-10+-9-(-2/2)-(-8)(3)

6

400

Solve:

3(-10)+8-4²

-38

500

Solve:

8/(-4) x (-6)²+7

-65

Positive and Negative Numbers

100

Solve:

18 + (-30) + 14 + (-28)

-26

200

Solve:

-17-7+8-26

-42

300

Solve:

8(-2)(3)(-4)

192

400

Solve: 

-36/9

-4

500

Solve: (-3)(-4)(-4)(-6)(-2)

-576

Equations

100

Solve for y:

-6y+2=68

y=-11

200

Solve for z:

-z/4 - 15=7

z=-88

300

Solve:

1/2(8x+14)=43

x=9

400

Solve for x

4(2x-5)=12

x=4

500

Solve for x:

6(3x-5+4)-7x+3+4x=27

x=2

Fractions

100

7/8=x/32

x=28

200

2/11=18/s

s=99

300

Reduce the following:

15/36

5/12

400

Multiply and Reduce:

4/5 x 10/16

1/2

500

Multiply and reduce:

6 x 1/3 x 5/7

1 3/7

Probability

100

What is the probability of drawing a 5 from a deck of cards?

4/52 = 1/13 = 0.0769 = 7.69%

200

What is the probability of rolling a number less than 4 on a normal dice?

3/6 = 1/2 = 0.5 = 50%

300

There are 2 green, 3 blue, and 4 red marbles in a bag. What is the probability of drawing a blue marble?

3/9 = 1/3 = 0.33333 = 33.3%

400

There are 4 green, 7 blue, and 5 red marbles in a bag. What is the probability of drawing a red marble and then a green marble if you do not replace the first marble

5/16 * 4/15= 20/240 = 1/12 = 0.083333 = 8.33%

500

There are 4 green, 2 blue, and 6 red marbles in a bag. What is the probability of drawing a blue marble and then not a green marble if you don't replace the first marble?

2/12 * 7/11 = 14/132 = 7/66 = 0.1060 = 10.6%