Systems of equations and inequalities
Linear Functions
Equations and inequalities
functions
Coordinate Geometry
100
Solve for x
2x+y=10
y=3x+4
x=6/5
100
What is the slope
y=4x-6-3x+8
m=1
100
Solve
5x+10>35
x>5
100
What makes something not a function?
If the set has 2 of the same x values
100
What are the coordinates of the point B
(-5,1)
200
Solve for y
4x-2y>15
-2x+3y>12
y>13
200
Put in slope intercept form
y+8(x-3)=3x+10
y=-5x+34
200
Solve
-8x+16>48
x<-4
200
Which one is a function?
A.(-1,4), (-2,5), (0,3), (1,2)
B. (2,8), (4,10), (2,6), (7,13
A
200
What is the slope from (2,6) to (5,8)
m=2/3
300
Solve for y and put in fraction form
12x+10y<35
4x+2y<10
y<5/4
300
What is the slope
4y-6+2x=8+5x-2
m=3/4
300
Solve and put in fraction form
7x+8-4+4x=16
x=12/11
300
What is the range of the function is the domain is (4, 6, 2)
y=1/2x+3
4<=y<=6
300
What is the slope of (1,3) to (8,14)
m=11/7
400
On Monday ice cream cones and chocolate bars were sold. The number of chocolate bars sold was 5 more than twice the number of ice cream cones sold. There were 215 ice cream cones and chocolate bars sold that day. How many ice cream cones were sold?
70 ice cream cones
400
Judie gets paid a base salary of 40 dollars to make paintings. For every painting made she gets 50 dollars. Write linear equation based off the information.
y=50x+40
400
Chris wants to buy baseball cards and he has $72. Each common card is worth $2 dollars and each rare card is worth $10. Chris wants to spend all of his money and wants to buy 5 rare cards. How many common cards can he buy?
11 common cards
400
A car was driven 2 miles in 15 minutes at a constant speed. Which function can be used to determine, d, the distance driven in x hours.
A. d=x+15
B. d=8+x
C. d=8x
D. x=8d
C
400
The points (0,0), (0,10), (5,10), (5,0) are plotted on a graph. What is the area of the shape these points make?
50 units squared
500
Rock 1 is 400 years old and rock 2 is 60 years older that 5 times rock 1. Rock 3 is 2 times both rock 1 and 2 combined. What is the age of rock 3?
4,920 years old
500
When John got hired he got a base salary of 60 dollars. For every $1,000 sale he makes, heb gets 20% of the money the other person just spent. How much money would he have after making 12 sales for $1,000 each?
$2,460
500
Terry owns a business and he needs to buy as much string as he can without going over $92. Each yard of string is $1.50 and the cost to ship it is $30. How many yards of string can Terry buy without going over $92? Put as a whole number
41 yards
500
A company lets people rent cars and charges them every mile they drive in the car they rent. y=0.24x is used to find the cost per mile plus the initial fee. How much would it cost to drive 2,935 miles in one of their cars?
$704.40
500
What equation goes through the point (6,3) and is also perpendicular to the equation y=1/2x?
y=-2x+15