Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a system of two linear equations in two variables, $x$ and $y$: $$4x - y = 5$$ $$3x + 2...
Linear EquationsSystems of EquationsSubstitution MethodSolution Verification
2025/4/30
We are asked to find the equation of a straight line with a given gradient of 7 that passes through ...
Linear EquationsCoordinate GeometrySlope-intercept form
2025/4/30
We are given the equation of a line $2x - 3y = 6$. Part (a) asks us to find the values of $A$ and $...
Linear EquationsCoordinate GeometryLinesIntercepts
2025/4/30
The problem requires us to complete a table of values for the linear equation $2x + 5y = 10$ and the...
Linear EquationsGraphingCoordinate Geometry
2025/4/30
The problem gives the equation of a line as $2y = 7x - 5$. It asks for the gradient and y-intercept ...
Linear EquationsSlope-intercept formGradientY-intercept
2025/4/30
The problem asks to create a table of $x$ and $y$ values for the line $3x + 2y = 6$, where $x$ range...
Linear EquationsCoordinate GeometryTable of Values
2025/4/30
We are given the equation $2x - y = 6$ and a table of $x$ and $y$ values. We need to find the values...
Linear EquationsSolving EquationsSubstitution
2025/4/30
The problem asks us to create a table of $x$ and $y$ values for the line $y = 1 - 5x$, where $x$ ran...
Linear EquationsCoordinate GeometryTable of Values
2025/4/30
We are given a linear equation $y = \frac{1}{2}x - 3$ and a table with some $x$ and $y$ values. We n...
Linear EquationsCoordinate GeometryGraphing
2025/4/30
The equation of a line is given as $13y - 5 = 2x$. The problem asks to find the y-intercept of this ...
Linear EquationsY-interceptSlope-intercept form
2025/4/30