Solving Equations
Solve for x:
x + 2 = -5
x = -7
Find the solution to the system of equations:
r + s = -6 r - s = -10
(Write your answer as an ordered pair)
The solution is:
(-8,2)
The point (2,3) after (x, y) becomes (x+2, y-3).
What is the new point after the transformation?
(4,0)
Find the slope of the line connecting:
(2,4) and (-2, -5)
The slope = 9/4
Simplify: 2 + 3 x 4
14
Solve for x:
13x = 26
x = 2
Find the solution to the system and write the solution as an ordered pair:
x = 4y
2x + 3y = 22
The solution is: (8,2)
The point A' = (4, 2) was translated up 5 and to the right 4.
What are the coordinates of A?
The coordinates of A = (0, -3)
Write the equation of the line that shows:
A slope of 3 and a y-intercept of 4
The equation of the line is:
y = 3x + 4
4 + 32
13
Solve for x:
3(x + 2) = 12
x = 2
The sum of two numbers is 104. Their difference is 68. What are the numbers?
The two numbers are:
86 and 18
The coordinates of A are (2, 5). Find the coordinates of the point A' after A has been reflected over the x-axis.
A' = (2, -5)
Find the x-intercept of the line:
3x + 6y = 12
The x intercept is: 4 or (4,0)
4 + 32 x 3 ÷ 3
13
Solve for x:
2x + 4 = 6
x = 1
Find the solution to the system of equations:
y = -3
x = 5
The solution is: (5, -3)
Point A has the coordinates (7,-3). What are the coordinates of A' after a 90 degree rotation counterclockwise around the origin.
A' = (3, 7)
Find the slope of the line:
3y = 2x + 5
The slope = 2/3
-42
-16
Solve for x:
9x - 7x - 5 = 17
x = 11
Find the solution to the system of equations:
y - 3x = 3
y = 3x - 2
The system has: NO SOLUTION
Triangle ABC has coordinates (2,3), (-4, 6) and (-1,5). Find the coordinates of A'B'C' after a dilation with scale factor 2.
A'=(4,6), B'=(-8,12), C'=(-2,10)
A line that goes from quadrant III to the quadrant I would have a positive, negative, zero, or undefined slope?
The slope would be positive
If x= -2 and y = 4, evaluate:
3x2 y + (-3x)
54