Solving Equations
Solve for x:
2x + 3 = 11
x=4
Simplify:
3x + 2 - x
2x+2
Solve for x:
x2 = 9
x=3
x=-3
Find the slope and y-intercept of the line:
y = 3x + 2
m = 3
b = 2
If you buy 4 notebooks for $8 and 3 pens for $2, how much did you spend?
$38
Solve for x:
3(2x - 4) = 18
x=5
Simplify:
2(2x + 5) + 3(3x - 1)
13x + 7
Solve for x:
2x2 - 8x = 0
x = 0
x = 4
Write the equation of the line with slope -2/3 and y-intercept 5.
y = -2/3x + 5
The sum of two consecutive integers is 25. What are the integers?
12 and 13
Solve for x:
0.5x + 0.25 = 1.25
x=2
Simplify:
2(x2 - 3x + 4) - 3(x2 + x - 2)
-x2 - 9x + 14
Solve for x:
3x2 + 2x - 8 = 0
x = -2
x = 1 1/3 or 4/3
Determine the slope of the line perpendicular to the line 2x - 3y = 6.
m = -3/2
A car rental company charges a flat fee of $30 plus $0.25 per mile driven. If a customer's bill is $75, how many miles did they drive?
180 miles
Solve for x:
3(x + 2) - 2(2x - 1) = 4
x=4
Simplify:
(2x + 3)2 - (x + 2)(x + 5)
3x2 + 5x - 1
Solve for x:
x2 + 5x + 6 = 0
x = -3
x = -2
Find the equation of the line passing through the points (1, 4) and (3, 10).
y = 3x + 1
A rectangle's length is 3 more than twice its width. If the perimeter is 42 units, find the dimensions of the rectangle.
width = 6
length = 15
Solve for x:
2(3x + 1) - 5(2x - 3) = 7
x=2.5
Simplify:
3(x3 - 2x2) + 2(3x2 - x)
3x3 - 2x
Solve for x:
2x2 - 7x + 3 = 0
x = .5
x = 3
Determine the equation of the line perpendicular to y = 2x - 3 that passes through the point (2, -1).
y = -1/2x
A car rental company offers two pricing options for renting a car: Option A has a flat fee of $50 plus $0.10 per mile, while Option B has no flat fee but charges $0.15 per mile. For how many miles driven will Option A be cheaper than Option B?
1001 miles