Linear Equations & Inequalities
Solve for x.
X - 3 </ 7
X = </ 10
Simplify.
x² + 5x + 6 = 0
X = -2
X = -3
Solve for x.
3x + 5 = 14
3
(3 + 2i) + (5 - 4i)
8 - 2i
Solve for x.
5x - 2 > 3x + 6
X > 4
Simplify.
x² - 4x - 12 = 0
X = 6
X = -2
Solve for x.
2(3x - 4) + 5x = 19
27/11
Simplify.
(6 - i)(2 + 3i)
15 + 16i
Find the slope and y-intercept of the problem.
4x - 2y = 8
Slope = 2
Y-intercept = -4
Simplify.
2x² + 7x + 3 = 0
X = -1/2
X = -3
Solve for x.
2x/3 + 4 = 10
X = 9
Simplify.
(8 + 6i)/(2 + i)
22/5 + 4/5i
Find the equation of the line that passes through the points (2, 5) and (-1, -4) in slope-intercept form.
Y = 3x - 1
Simplify.
x² - 9 = 0
X = 3
X = -3Solve for x.
2x + 3y = 12
X - 2y = -4
X = 12/5, y = 20/7
Simplify.
i^23 + i^12
1 - i
A gym charges a $25 membership fee plus $10 per class. You want to spend no more than $95 per month. Write and solve an inequality to determine the maximum number of classes you can take.
7 classes max.
A ball is thrown straight up in the air, and its height (h) in meters after t seconds is given by the equation h = -5t² + 25t + 10. How long does it take for the ball to hit the ground (h = 0)?
5 seconds.
Solve for x.
X2 - 5x + 6 = 0
X = 3, 2
Samantha is designing a circuit that uses alternating current, which can be represented using complex numbers. One part of her circuit has an impedance of 4 + 3i ohms, and another part has an impedance of 2 - i ohms. What is the total impedance of the circuit?
6 + 2i