Math 7 Final

Real Numbers

100

is the sqrt(22) a rational or irrational number?

irrational number

200

Convert the decimal to a percent: 63.5

6,350%

300

Convert the percent to a fraction: 26%

13/50

400

Between which two consecutive integers is sqrt(60)?

7 < sprt(60) < 8

500

Convert the decimal to a fraction: 0.9375

15/16

Integers

100

-9 - (-51)

42

200

-18 - 31 - 85

-134

300

-80 x -72

5,760

400

-80 + -56 + -71 + 5

-202

500

8 + 2 x 7 - 15 / 3

17

Solving Equations

100

x - 24 = 13

x = 37

200

210 = 14x

x = 15

300

(3/8)x = (4/9)

x = 32/27

400

0 = -x/11 + 7

x = 77

500

6x + 5 - 4(x-8) = 2x + 13

no solutions

Inequalities

100

x + 5 < -33

x < -38

200

4x <_ -24

x <_ -6

300

x/5 - 4 > -8

x > -20

400

-10x - 12 < 28

x < -4

500

4x + 6 + 6(x+3) >= 9x + 34

x >= 10

Direct Proportions

100

Does this table represent a directly proportional relationship between x and y values?

x: 4 , 6 , 12

y: 20, 30, 40

no

200

Assuming the below table represents a directly proportional relationship between x and y, find the missing values:

x: 2, _ , 8, __

y: 6,12, _ , 84

4; 24; 21

300

does this equation represent a directly proportional relationship between x and y?

 y = 4/3x + 24

no

400

Write an equation to define the relationship between coordinate points (2, 8) and (6, 24).

y = 4x

500

Find the constant of proportionality:

x: 9, 10, 84

y: 76.5, 85, 714

k = 8.5