Solving Equations and Inequalities
8=x/-3
x=-24
Describe the line of y=#
Horizontal line
Is “xy=2” linear?
No
Parallel lines have ___ solutions
No
What is a system of equations?
A system of equations is 2 or more equations with the same variables
-2=2x/3-4
x=3
In an x-axis, what coordinate is 0?
The y-coordinate
Write the equation of the line (3,5) and (3, 1)
x=3
Solve the system of equations:
x+y=4
2x+2y=8
x=all real numbers
8 less than 3 times a number is the same as -4 minus the same number. What is the unknown number?
1
-2x/3+6<8
x>3
What is the slope of x=#?
Undefined
Solve the system of equations:
5x=4-y
7x+5y=11
(1/2, 3/2)
A man is driving to New York, and after driving 12 miles, he decides to track his route. He discovers that after driving 4 hours, he traveled 120 miles. Write an equation that represents the total miles driven, y, in x hours.
y=27x+12
3(4x+2)=6(2x+1)
x=all real numbers
Write the equation of the line what passes through (3, 15) and m=4
y=4x+3
If equation 1 has a slope of -2/5 and an x-intercept of (2, 0) and equation 2 is 2x+4y=5, how many solutions does this system have?
1
A woman’s pool needs to be repaired so they need to drain all the water from it. Their pool has 8,200 gallons of water in it. They can drain 12 gallons per minute. Write a linear equation based on the amount of water left in the pool, y, after x minutes.
1/2+7x/10=27/20
x=1
Solve for y if (-3, y) and (2, 6) are points on a line with a slope of 22/10
y=-5
Write and equation of the line that passes through (-4, 4) and is perpendicular to y=2x-5
y=-x/2+2
Solve the system of equations:
x+5y/3=2
-4x+2y=5
(-1/2, 3/2)
On a farm, there are only hens and cows. If a farmer counts the total number of heads and legs and comes out with a total of 17 heads and 40 legs, how many hens are there on his farm?
14