Slope-Int Form
In the equation y = 4x - 7, what is the slope of the line?
4 or 4/1
What is the formula for the Pythagorean Theorem?
a² + b² = c²
Simplify: x³ • x⁴
x⁷
If a system of equations has two lines that are parallel and never touch, how many solutions does it have?
No solution or 0
What is the value of |-15|?
15
What is the y-intercept of a line with the equation:
y = 5x + 3
(0, 3) or 3
In a right triangle, what is the specific name for the longest side, represented by "c"?
The hypotenuse
Simplify: y¹⁰ divided by y²
y⁸
What is the x-value of the solution to this system of equations?
y = 2x
x + y = 9
x = 3
A linear graph that passes through the origin (0, 0) represents this type of special relationship.
Proportional Relationship
Write the equation of a line that has a slope of -2 and passes through the origin
y = -2x
A right triangle has a hypotenuse of 13 and one leg of 5. What is the length of the other leg?
12
What is the value of (2²)³?
2⁶ or 64
If two equations in a system result in the exact same line, how many solutions are there?
Infinitely many solutions
What is the square root of 225?
15
A line passes through the points (0, 5) and (2, 9). What is its slope?
2 or 2/1
True or False: A triangle with side lengths 6, 8, and 10 is a right triangle.
True
Write 5⁻² as a fraction without using exponents.
1/25
Solve this system of equations:
x + y = 10
x - y = 4
(7, 3)
If a set of numbers has a "constant rate of change," the graph of those numbers will always be a ______?
Straight Line
What is the slope of the following line?
x = -3
Undefined (this is a vertical line)
What is the distance between the points (0, 0) and (3, 4) on a coordinate plane?
5 units
Simplify the expression (2x³)⁴
16x¹²
A local movie theater sells adult tickets for $10 and child tickets for $6. One afternoon, they sold 50 total tickets and made $420. Write and solve a system of equations to find out how many of each ticket were sold.
10a + 6c = 420 and a + c = 50.
30 Adult tickets and 20 Child tickets.
Simplify the following square root: √ 108
6√3