Review

Question 1

When multiplying or dividing by the same negative value on both sides of an inequality changes the direction of the inequality sign.

Answer 1

Properties of Inequality

Question 2

2 (3x-11) > -5x-11

Answer 2

6x-22 > -5x-11
\+5x         +5x
11x-22 > -11 
     \+22    +22
11x  > 11   X>1 
(1,🔃) 

1) Isolate variable using inverse operation and prop of inequality
2) Represent solution with inequality notation or interval notation
3) Graph on number line
4) Check

Question 3

Which of the X values are solutions to the inequality

4(2-X) > -2x- 3(4x+1)

Answer 3

8-4x > -2x -12x +3
+14x +14x -8
10x/10 > -11/10
X > -11/10

Answers: X= 0 X=10

Question 4

“And”- both clauses must be true

“Or”- one or both must be true

Answer 4

Introduction to Compound Inequalities

Question 5

3 (8-4x)

Answer 5

24 - 12x 3

3

Question 6

2(4+2x) >_ 5x+5

Answer 6

8+4x >_ 5x +5 
    -4x       -4x 
8 >_ X +5 
-5         -5 
3 >_ X

X

Question 7

Conversions

Area:

Perimeter:

Speed:

Volume:

Answer 7

Area: l * w = square meters

Perimeter: 2l + 2w= meters

Speed: distance/time = meters per second

Volume: lwh = cubic centimeters

Question 8

A two variable equation

Answer 8

A two variable equation can only be solved if you know at least one value.

Question 9

5a-10(3)=45

Answer 9

5a- 30= 45
5a=75
A=15

Question 10

Function vs Not a function

Answer 10

Function
-5 ~ 2
2 ~ 8
-1 ~ -8

Not a function
3 ~ 4
-7 ~ -5
3 ~ -5

Question 11

What is the common difference between successive terms in the sequence?
9, 2.5, -4, -10.5, -17, …

Answer 11

-6.5

Question 12

Which sequences are arithmetic and which are geometric?

1. 18, 5.5, -7, -19.5, -32,…
2. 625, 125, 25, 5, 1,…
3. -16, -8, 4, -2, 1,..
4. 16, 32, 48, 64, 80,…
5. -15,-18, -21, 6, -25.92, -31.104,…

Answer 12

Arithmetic: 1 and 4

Sequence: 2, 3, and 5

Question 13

Function notation

F(X)=3x-4

Answer 13

(X) is the input

3x-4 is the out put.

Question 14

Find a slope of line that passes through points (2, -5) (7, 1)

Answer 14

M= rise/run = y^2 - y^1 / x^2-x^1

Choose (x^1 y^1)= (2, -5)

Identify (x^2 y^2)= (7, 1)

Apply formula y^2 - y^1/ x^2-x^1

M=1-(-5)/ 7-2= 1+5 / 7-2= 6/5

M=6/5

Question 15

Dependent/ independent= y/x= rise/ run= 1/2= .5

Answer 15

Slope= rise/run