Inequality
writing equations in slope intercept form and standard form.
exponents- simplify each expression
Find the x-intercept and y-intercept of the graph of each question
percent increase and decrease
100
2 less than a number is more than 8.
x+2>8
100
STANDARD FORM
y-6+-3(x+2)
3x+y+0
100
(0.5x3)2
0.25x6
100
5x+3y=15
x: (3,0)
y: (0,5)
100
original- 35
new-40
increase 14%
200
when graphing an inequality, how do you know whether youre suppose to use a dot or a circle.
a dot is used for ≥ and ≤ where as a circle is used for < and >when making
200
SLOPE INTERCEPT FORM
y-11=3(x+4)
y=3x+23
200
(-3/4c)3
-27/64c3
200
2x-7y=14
x: (7,0)
y: (0,2)
200
original- 16
new- 10
decrease 38%
300
solve 6h-10 ≥ 32
Step 1- 6h-10 ≥ 32 Step 4- 6h divided by 6 = h
Step 2- 6h-10 +10 ≥ 32+10 Step 5- 42 divided by 6 =7
Step 3- 6h ≥ 42 Final solution- h ≥ 7
300
STANDARD FORM
4y-5x=3(4x-2y+1)
-17x+10y=3
300
(2a3)4(a3)3
16a21
300
6x+2y=8
x: (4/3,0)
y: (0,4)
300
messenger bag- $28.00
Tax- 7.25%
find the total price
$30.03
Steps-
28 times 7.25%= 2.03
28+2.03=30.03
400
Write an inequality based on the following graph
x ≥ 4
400
SLOPE INTERCEPT FORM
y+6=-3/4(x+8)
y=3/4x-12
400
(2gh4)3[(-2g4h)3]2
512g27h18
400
2x-3y=5
x: (5/2,0)
y: (0,-5/3)
400
CD Player- $89.99
Discount- 15%
Find the discounted price
$76.49
Steps-
89.99 times 15%= 13.50
89.99-13.50=76.49
500
If 4 people plan to use the canoe with 60 pounds of supplies, and the canoe can hold 800 pounds write and solve an equality to find the allowable average weight per person
x- represents the weight of each person --- ≤ means less than or equal to
4x+60≤ 800 ----- written equality
___________________________________________
4x+60-60 ≤ 800-60 [subtract each side by 60]
4x ≤ 740
4x ≤ 740 [divide each side by 4]
4 4
x ≤ 185 --- solution for the equality
500
Rewrite this in slope-intercept form
2+4y=3x+10
y=34x+2
Steps-
2+4y=3x+10 [subtract 2 from both sides]
4y=3x+8 [divide both sides by 4]
500
(p5r2)4(-7p3r4)2(6pr3)
294p27r19
500
y=2/3x+1
x: (-3/2,0)
y: (0,7)
500
Beng is shopping for a car. The cost of a new car is 15,500. This is 25% greater than the cost of a used car. What is the cost of the used car?
$11,625
Steps-
15,500 times 25%=3,875
15,500-3,875=11,625