Algebra 1 Review

Front

What is a horizontal translation in graph transformations?

Back

A horizontal translation shifts the graph left or right without changing its shape. For example, g(x) = (x + 4)² is a horizontal translation of f(x) = x², moving it 4 units to the left.

Front

How do you solve a system of linear equations?

Back

To solve a system of linear equations, you can use substitution, elimination, or graphing methods to find the values of the variables that satisfy both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system of linear equations has no solution?

Back

A system of linear equations has no solution if the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. For the function f(x) = ax² + bx + c, the axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

The solution is (2, 5).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to intersect in a system of equations?

Back

If two lines intersect, it means there is a unique solution to the system of equations, represented by the point of intersection.

Tags

CCSS.8.EE.C.8A

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How can you identify the vertex of a parabola?

Back

The vertex of a parabola represented by the equation f(x) = ax² + bx + c can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the difference between a vertical and horizontal translation?

Back

A vertical translation shifts the graph up or down, while a horizontal translation shifts it left or right.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations consists of the lines or curves corresponding to each equation, and their intersection points represent the solutions.

Tags

CCSS.8.EE.C.8B