Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to sketch the graph of each of the following four lines: 1. $y = -x - 2$
Linear EquationsGraphingSlope-Intercept Form
2025/3/10
We are given a system of two linear equations with two variables, $x$ and $y$: $-5x + y = -7$ $-3x -...
System of Linear EquationsElimination MethodSubstitution MethodSolving Equations
2025/3/10
We are given a set of systems of linear equations. We need to solve each system for $x$ and $y$ usin...
System of Linear EquationsSubstitution MethodSolving Equations
2025/3/10
We need to solve 8 systems of linear equations with two variables, $x$ and $y$.
Systems of Linear EquationsTwo VariablesSubstitutionElimination
2025/3/10
The problem asks us to fill in the missing indices in the given expressions involving exponents. We ...
ExponentsAlgebraic ExpressionsSimplification
2025/3/10
We are asked to simplify the expression $2x(4x^2 - xy + 5)$. This requires distributing $2x$ to each...
PolynomialsSimplificationDistribution
2025/3/10
The problem asks us to simplify the expression $(a^2 b^3)(4 a^4 b^3)$.
ExponentsSimplificationAlgebraic Expressions
2025/3/10
The problem asks us to simplify the expression $(9x^3y)(-2x^2yz^5)$.
SimplificationPolynomialsExponents
2025/3/10
The problem asks us to simplify the expression $(-7y)(-8)$.
SimplificationAlgebraic ExpressionsMultiplication
2025/3/10
The problem requires simplifying the expression $4(3x^2 + 5x) - x(x^2 - 7x + 8)$.
PolynomialsSimplificationExpansionDistribution
2025/3/10