Linear Equations
Solve for Y
Substitution/ Elimination
Linear Inequalities
Word problems (write equations/ inequalities)
100
Write the equation for the graph:
y=1/3x+1
100
2x+y=4
y=-2x+4
100
Solve:
y=4
x=4y-8
(8,4)
100
Solve for y:
4x-2y<16
y>2x-8
100
Toy cars weigh 8 kilograms apiece and are shipped in a container that weighs 10 kilograms when empty.
w(c)=8c+10
200
what is the solution of the graph?
(-2,-3)
200
4x+2y=6
y=-2x+3
200
solve:
x+y=5
x-2y=2
(4,1)
200
Write the inequality represented by the graph
y</= x - 1
200
Toy trucks, which weigh 6 kilograms apiece, are shipped in a container weighing 20 kilograms.
w(t)=6t+20
300
What is the solution of the graph?
(7,4)
300
3x-9y=9
y=1/3x-1
300
Solve:
x+y = 6
x+y = 3
no solution
300
Which region of the graph should be shaded?
top (above both)
300
A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $5,500 in political contributions. Single tickets cost $22, while an entire table can be reserved for $950.
22s+950t>5500
400
What is the solution to this graph?
no solution
400
-2y>5x-4
y<-5/2x+2
400
Solve:
y=3x+4
y=-2x-1
(-1,1)
400
Spot the mistake on the graph
Both lines should be solid
400
During a special sale, all video games cost $19 and all movies cost $17.65. Colin plans to spend some or all of his $310 in birthday money on these movies and video games.
19g+17.65m</= 310
500
How many solutions does this system of equations have?
y=4x-5
y=4x+2
infinite solutions
500
-4x+8y+6<-10
y<1/2x-2
500
Solve:
2x-3y=-10
5x+3y=-4
(-2,2)
500
Write both inequalities that make the graph:
y<-1/2x+5
y>/=3x+4
500
An elevator car in a skyscraper can hold at most 15 people. For safety reasons, each car can carry a maximum of 1,500 kg. On average, an adult weighs 70 kg and a child weighs 35 kg.
a + c </= 15
70a + 35c </= 1500