Algebra Basics
What is the term for a mathematical expression containing numbers and/or variables, combined using operations like addition, subtraction, multiplication, or division?
What is an algebraic expression?
What is the definition of a function?
A function is a relation in which each input has exactly one output.
Solve for x: 2x+7=15
x=4
Simplify:
3^4x3^2
729
Solve for x:
3x + 5 = 17
x=4
Determine if the relation given by the set of points {(1, 2), (2, 4), (3, 6)} is a function.
Yes
Solve the inequality: 3𝑥−4<5
x<3
Simplify:
sqrt16
4
Simplify the expression:
2(x + 3) - 4
2x+6−4
Given the function 𝑓(𝑥)=3𝑥2−2𝑥+5, find 𝑓(2).
f(2)=16
Solve for x and y: 2𝑥+3𝑦=12and 3𝑥−2𝑦=8
x= 2
y=3
Factor the expression:
x^2-4
(x+2)(x-2)
Identify the property of real numbers demonstrated by the equation:
3×(4+5)=(3×4)+(3×5)
Distributive Property
Define the term "domain" in the context of functions.
The set of all possible inputs for a function.
(Double Jeopardy): Solve the system of equations: 4𝑥+3𝑦=10 and 2𝑥−5𝑦=−8.
x=2
y=1
What is the degree of the polynomial:
5x^3-2x^2+7x-1
3
Evaluate the expression when x=10:
(3x-2)/4
7
Find the inverse of the function 𝑓(𝑥)=2𝑥−3f(x)=2x−3.
f^-1(x)=(x+3)/2
Solve the inequality: 2(𝑥−3)≤4𝑥+1
x>=-7
Solve the quadratic equation:
x^2-5x+6=0
x=2 or x=3