CHAPTER 7

Question 1

WHAT IS THE SUM OF THE FIRST 100 POSITIVE INTERGERS?

Answer 1

ADD THE FIRST AND THE LAST (100+1) AND MULTIPLY BY THE NUMBER OF PAIRS (50)
101 X 50 = 5050

Question 2

HOW MUCH IS 3(5X4)?

Answer 2

3X5X4 = 60! DO NOT OVER-DISTRIBUTE

Question 3

ADDING X =

Answer 3

SUBTRACTING -X

Question 4

MULTIPLYING BY X =

Answer 4

DIVIDING BY 1/

Question 5

DIVIDING BY X/Y =

Answer 5

MULTIPLYING Y/X

Question 6

x²+a² =

Answer 6

(x+a)(x-a)

Question 7

x²+2ax+a² =

Answer 7

(x+a)(x+a)

Question 8

x²-2ax+a² =

Answer 8

(x-a)(x-a)

Question 9

(x-a)(x-a) =

Answer 9

x²-2ax+a²

Question 10

(x+a)(x+a) =

Answer 10

x²+2ax+a²

Question 11

(x+a)(x-a) =

Answer 11

x²+a²

Question 12

slope of a line =

Answer 12

rise/run = y2-y1/x2-x1

Question 13

slope-intercept form

Answer 13

y = mx +b

Question 14

standard form

Answer 14

ax + bx = c

Question 15

point-slope form

Answer 15

y-y1 = m (x-x2)

Question 16

y = mx +b

What is the slope and the y intercept?

Answer 16

Slope = m

Y intercept = b

Question 17

ax + bx = c
What is:
slope
y intercept
x intercept

Answer 17

slope: -a/b
y intercept = c/b
x intercept = c/a

Question 18

y-y1 = m (x-x2)
What is
slope
point on line

Answer 18

Slope = m

point on line = (x1,y1)

Question 19

perpendicular lines have slopes that are…

Answer 19

opposite and reciprocal
2
-1/2

Question 20

|x-a| is the distance between

Answer 20

x and a

Question 21

|x+a| is the distance between

Answer 21

x and -a

Question 22

what are the laws of inequality?

Answer 22

1. whatever you do to one side, you must do to the other
2. do not perform undefined operations (/0) or operations that have more than one result (such as taking a square root)
3. if you multiply by a negative, switch the direction of the inequality

Question 23

law of combination

if a = b and c = d…

Answer 23

a+c= b+d
a-c = b-d
ac=bd