21,231 Answered Questions for the topic algebra 2

08/05/25

Solving system of two linear equations

Which method would you choose to solve the following system of equations? Solve it.y=2x+1 (1)3x+y=7 ​ (2)
Algebra 2 Algebra 1

08/01/25

What exactly is x?

This is a great question! What exactly is x?This is one of, if not the most, common questions students have when first learning about algebra. That’s because algebra is the study of quantities and... more
Algebra 2

07/30/25

What is the difference between solving a quadratic by factoring and using the quadratic formula?

Factoring is efficient when the quadratic is "nice," however, using the Quadratic formula works every time (unless there isn't a solution...)
Algebra 2 Math Algebra 1

07/27/25

Solve the system of 3 equations by elimination. State as an ordered triple

Solve the system by eliminationx+y+2z=23x+4y-z=254x-y+3z=-7
Algebra 2 Algebra 1

07/23/25

Solve for x: 7x-4=20x+2

In this problem, you are given 7x-4=20x+2. How do you solve for x?

07/21/25

Solve for the equations

I have no idea what to do here. If g(x) = 5x2+7 and f(x)= x2+1, then what is g(f(x)) and f(g(x))? What is the value of both equations if x =2?
Algebra 2

07/20/25

algebra2 extraneous solution

2X-1=Square root of 8-XThank you.
Algebra 2

07/20/25

Algebra2 extraneous solution

2X-1= square root of 8-XThank you.
Algebra 2 Algebra 1

07/19/25

Why is Algebra II so much harder than Algebra I?

My child passed Algebra I without too much trouble, but is now struggling in Algebra II. They say it feels like a completely different subject. Why is it so much more difficult?
Algebra 2

07/17/25

Algebraic Fractions

Simplify the following expression:
Algebra 2 Math

07/12/25

b^2(b+2m)^2=(b+m)^4 ,,,,,,, find b(m)

b2(b+2m)2=(b+m)4,,,,,,,find b(m)
Algebra 2

07/08/25

Algebraic Function

Which of the following statements is (are) true when 𝒇(𝒙) = 𝒙𝟐−𝟐𝒙−𝟑/𝒙𝟑+𝟑𝒙𝟐−𝟔𝒙−𝟖?I. The graph 𝑓(𝑥) has two vertical asymptotes at 𝑥 = 2 and 𝑥 = −4.II. The 𝑥- and 𝑦-intercepts of the graph of 𝑓(𝑥)... more
Algebra 2 Sat Math

07/05/25

How many gallons of a 30% salt solution must be mixed with 10 gallons of a 10% salt solution to create a 20% salt solution?

Mixture problems like this show up in SAT and other standardized tests, and they’re great for modeling real-world math. You're trying to create a 20% salt solution by mixing a stronger (30%)... more
Algebra 2 Calculus Precalculus

06/25/25

Odd result when considering x³ - y³ = 91

By inspection one may notice that x = 3, y = -4 is a solution & so must be x = 4, y = -3. If this equation defines a cubic, then with 2 real roots there must be 1 more real solution. To find it... more
Algebra 2

06/24/25

Find the function when given x

X = -5 and X=2 find the function and provide the proof. I have no idea of where to start with this, please help!
Algebra 2 Precalculus

06/19/25

What is a complex number?

Algebra 2

06/16/25

Composite Function Problem

 Given the composite function h(x) = f(f(x)) = (x+1)2+1h(x) = f(f(x)) = (x+1)2+1 and f(x) = x+1f(x) = x+1. Find the value of h(3)h(3).
Algebra 2 Algebra 1

06/16/25

Solve for x using the substitution method for the following complex equations

x4- 5x2+ 4 = 0 |x2 - 4| < 5 f(x) = 2x + 1, if f(f(x)) = 25
Algebra 2

06/11/25

3x +7y =21 with a y-intercept of (0, 2). Write the equation of the given line in slope-intercept form and determine its slope. equation:       slope:      

Write the equation of a line perpendicular to the line 3x +7y =21 with a y-intercept of (0, 2). Write your answer in standard form. Follow the steps below.Step 1. Write the equation of the given... more
Algebra 2 Algebra 1 Calculus

06/11/25

What sets you aside from other tutors?

I teach objectively as apposed to subjectively, as not all students learn the same. an I have an unliimited bucket of patience for going over the same material numerous times in different ways!! I... more

06/09/25

Counting certain partitions

Consider the partition of an integer into the sum of some integers:n = n1 + n2 + ... + nr, with each ni ≥ 1. How many such partitions are there? An equivalent question: how many integer solutions... more

06/08/25

Monotone subsequence of an infinite sequence

Does every infinite sequence have a monotone subsequce? Here by "monotone" we may either (non-strictly) increasing or decreading. More precisely, given a sequence (an)n≥1, does there exist a... more
Algebra 2 Algebra 1

06/07/25

Solve for x for the following equation: 3(x-2)^2+2(x+1)(x-1)=x^2+4x+11

Step 1:First term:(x-2)^2=x^2-4x+43(x-2)^2=3(x^2-4x+4)=3x^2-12x+12Second term:(x+1)(x-1)=x^2-1 (difference of squares)2(x^2-1)=2x^2-2Left hand side becomes:3x^2-12x+12+2x^2-2=5x^2-12x+10Right hand... more
Algebra 2

06/07/25

What are good memorization strategies to memorize math formulas?

Small study groupsflashcardscolor code steps to problem one on one tutoring

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