Unit 1 (Basics)
Which mathematical property is demonstrated by the following:
2 (x - 2) = 2x - 4
Distributive Property
Solve the following inequality:
9x + 1 - 7x - 5 = -20
x = -8
Is the following a function:
{(2, 3), (3, 4), (4, 5)}
Yes, no repeat x values!
What is the slope of the following line:
y = 3x + 4
m = 3
What is a system of equations?
Multiple equations that share the same variables
Is the following number rational or irrational:
0.14141414141414.....
Rational
Solve the following equation:
5y - 8 = 3y + 12
y = 10
What test is used to determine if a graph is a function?
Vertical Line Test
What is the slope formula between two points?
m = (y2 - y1) / (x2 - x1)
Solve the following system of equations:
y = 3
2x - 2y = 4
(5, 3)
Solve the following if x=-3
x2 - 2x
15
Solve the following equation:
-4 (2x + 1) = -8x - 2
No Solution!
What is the range of the following relation:
{(1,1), (2,2), (3,3), (4,4)}
R={1,2,3,4}
Find the slope between (1, 3) and (-2, 8)
m = -5/3
Solve the following system of equations:
4x + 9y = 5
-4x + 7y = 11
(-1,1)
Simplify the following:
2 (x - 3) + 2x - 4
4x - 10
Solve for x:
|x - 1| = 3
x = {-2, 4}
Evaluate the following function at f(2):
f(x) = 2x - 3
f(2) = 1
Write the equation of a line whose slope is 3 and y-intercept is -2
y = 3x - 2
2x - 3y = 3
x + y = -1
(0,-1)
Solve the following equation:
1/3 x = 3
x = 9
Solve the following inequality:
2 < 3x - 7 < 5
3 < x < 4
What are the zero(s) of the following function:
f(x)=3x - 6
x = 2
What is the equation of a line (in slope intercept form) if the line has a slope of 3 and travels through the point (-2, -3)
y = 3x + 3
The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each.
$0.26 per orange
$0.32 per apple