Unit 6 Review

Inequalities

100

n² - 10 < 15, n = 5 

15 < 15 n = 5 is not a solution

200

4³ > 4(15) 

64 > 60 TRUE

300

Y + 12/3 is less than or equal to Y - 8, Y = 18

10 is less than or equal to 10 

Y = 18 is a solution 

400

Is this statement true or false:

18 - 3 is greater than or equal to 36/3 

15 is greater than or equal to 12 

TRUE

500

1/3y - 2 > 1/6y + 2, y = 24

6 > 6 y = 24 is not a solution 

Messy Equations

100

n - 1.875 = 9.366

n = 11.241

200

x + 8.52 = 11.39

x = 2.87

300

5/2y = 20/9 

y = 8/9 

400

n/8 = 11/4 

n = 22

500

6.4n = 77.44 

n = 12.1 

Addition/Subtraction

100

x + 9 = 20

x = 11

200

y - 22 = 4

y = 26

300

x - 34 = 71

x = 105

400

The value x = 7 is a solution to all the equations below except for one of them. Which one is it not a solution to?

(a) x - 6 =1                 (b)x + 10 = 17

(c) x - 3 = 10               (d) x + 5 = 12

7 - 3 does not equal 10!

500

Ava scored 18 points in a basketball game. She scored seven points more than Claire. Let c be the number of points scored by Claire. Set up an equation that lets you solve for the value of c. Then, solve it for Claire’s score and place it in the box. 

Let c = number of points Claire scored 

c + 7 = 18 

c = 11

Multiplication/Division

100

4n = 48

n = 12

200

6y = 35

35/6 = 5 5/6

300

x/3 = 10 

x = 30

400

x/9 = 5/3

x = 15

500

Sonia is sorting her rock collection into jars that each hold five rocks. She fills a total of eight jars. Let r be the total number of rocks Sonia has. Write an equation involving r and solve it for the total number of rocks Sonia has.

Let r = total number of rocks. 

r/5 = 8

r = 40 rocks