Algebra 1
Solve for x: 2x + 5 = 15
x = 5
What is the area of a triangle with a base of 6 units and a height of 4 units?
12 square units
What are the x-intercepts of the equation:
y = (x + 4)(x - 2)
(-4, 0) and (2, 0)
Determine if the relation {(1, 2), (3, 4), (5, 6)} is a function.
Yes, it is a function.
What is the smallest prime number?
2
What is the slope of the line given by the equation
y = 3x − 7 ?
m = 3
How many sides does a decagon have?
10 sides
Find the vertex of the parabola given by
y = x2 − 6x + 8
Vertex = (h, k) = (3, -1)
h = -b/2a
h = 6/2 = 3
k = (3)2 - 6(3) + 8 = -1
Find the domain of the function f(x) = 1/(x + 1).
How many faces does a cube have?
6
Simplify: 3(x + 2) − 4
3x + 2
Find the circumference of a circle with a radius of 5 units (use π ≈ 3.14).
Simplify: √(48)
4√(3)
Evaluate f(3) if f(x) = 2x + 4
f(3) = 10
What is the only number in English that is spelled with the same number of letters as the number itself?
Four
Solve for y: 4y − 3 = 5y + 7
y = -10
Calculate the volume of a rectangular prism with dimensions 3 units by 4 units by 5 units.
60 cubic units
Factor the polynomial 2x2 + 5x + 3
(2x + 3)(x + 1)
Find the inverse of the function f(x) = 3x − 2
f-1(x) = 1/3 x + 2/3
Name one of the six remaining unsolved Clay Institute Millennium Problems.
Birch and Swinnerton-Dyer Conjecture, Hodge Conjecture, Navier-Stokes Equation, P vs NP, Riemann Hypothesis, Yang-Mills and the Mass Gap
Factor the quadratic expression: x2 − 9
(x + 3)(x - 3)
What is the measure of each interior angle of a regular hexagon?
120 degrees
Solve for x: 5(x - 2) = 25
x = 4
Determine the range of the function f(x) = x2 − 4
If two fair six-sided dice are rolled, what is the probability that their product will be strictly greater than 24?
1/9