Equations
What is the solution to the equation 2x + 5 = 11?
3
Solve for x: x + 4 > 10
x>7
What is the slope of the line that passes through the points (2, 3) and (4, 7)?
Slope = 2
Solve the following system of equations:
(3, 2)
Simplify: 2^3
8
Solve for x: 3(x - 2) = 12
6
Solve for y: -2y ≤ 6
Answer: y ≥ -3
What is the equation of a line with a slope of 2 and a y-intercept of -3?
y = 2x - 3
Solve the following system of equations:
(2, 3)
Simplify: x^2 * x^5
x^7
If 5x - 7 = 2x + 8, what is the value of x?
5
Solve for z: 3z - 5 < 16
z < 7
Find the slope and y-intercept of the line represented by the equation 3x - 2y = 6
Slope = 3/2, y-intercept = -3
Solve the following system of equations:
(3, 2)
Simplify: (2x^3)^2
4x^6
Solve for y: 4y - 3 = 2y + 9
6
Solve and graph the solution on a number line: 2x + 1 ≥ 7
x ≥ 3 (Graph should show a closed circle at 3 and a line extending to the right)
Graph the line y = -2x + 4
Graph should be a line with a slope of -2 and a y-intercept of 4
Solve the following system of equations:
(5/3, 7/3)
Simplify: x^0 (where x ≠ 0)
1
Solve for z: (z + 3)/2 = 5
7
Solve and graph the solution on a number line: -3x + 2 < -10
x > 4
(Graph should show an open circle at 4 and a line extending to the right)
Write the equation of the line that passes through the point (1, 5) and has a slope of -1/2
y = -1/2x + 5.5
A system of equations has no solution. What does this mean graphically?
The lines are parallel and never intersect.
Simplify ( (x^3)^4 ) / (x^5)
x^7