Grade 9 math

Absolute Value Equations

Solve absolute value equations for x.

0/8

Absolute Value Inequalities

Solve absolute value inequalities and write the solution as a compound inequality.

0/8

Solving Quadratic Equations Using Square Roots

Isolate the squared term and take square roots to solve quadratic equations.

0/8

Exponent Rules

Apply the product, quotient, and power rules of exponents.

0/8

Linear Equations & Inequalities

Solve linear equations and inequalities, including variables on both sides.

0/8

Polynomial Operations

Add and subtract polynomials with x² and x terms.

0/8

Quadratic Expressions

Expand binomial products into quadratic expressions.

0/8

Systems of Equations

Solve systems of two linear equations by elimination or substitution.

0/8

Factoring Quadratic Trinomials

Factor quadratic trinomials of the form x² + bx + c.

0/8

Simplifying Radicals

Simplify square roots into simplest radical form.

0/8

GCF of Monomials

Find the greatest common factor of two monomials.

0/8

Classifying & Adding/Subtracting Polynomials

Find the degree and leading coefficient of a polynomial, name it by degree and number of terms, write it in standard form, and add and subtract polynomials.

0/8

Compound Inequalities

Solve "and" and "or" compound inequalities and read them from number-line graphs.

0/8

Factoring ax² + bx + c (a ≠ 1)

Factor quadratic trinomials whose leading coefficient is not 1.

0/8

Factoring by Grouping

Factor out a common binomial and factor four-term polynomials by grouping.

0/8

Factoring Special Products

Factor differences of two squares and perfect-square trinomials.

0/8

Literal Equations (Solving for a Variable)

Rearrange equations and formulas to solve for a chosen variable, then use them.

0/8

Multi-Step Equations

Solve equations that need the distributive property, combining like terms, fractions, and variables on both sides.

0/8

Multiplying Polynomials & Special Products

Multiply a monomial by a polynomial, multiply binomials with leading coefficients, and use the square-of-a-binomial and sum-and-difference patterns.

0/8

The Quadratic Formula

Use the discriminant to count real solutions and solve quadratic equations with the quadratic formula.

0/8

Operations with Radicals

Add, subtract and multiply square roots and rationalize simple denominators, writing answers in simplest radical form.

0/8

Solving Quadratic Equations by Factoring

Use the zero-product property to solve quadratic equations by factoring.

0/8

Systems of Linear Inequalities

Decide whether a point is a solution of a system of linear inequalities and write inequalities from their graphs.

0/8

Function Evaluation

Evaluate a function for a given input.

0/8

Slope & Graphing Linear Equations

Find the slope between two points and find the y-intercept of a line.

0/8

Direct & Inverse Variation

Solve direct and inverse variation problems.

0/8

Arithmetic Sequences

Find the common difference, find the nth term, and write an explicit rule for an arithmetic sequence.

0/8

Exponential Functions: Growth & Decay

Evaluate exponential functions, write them from tables, and solve growth and decay problems.

0/8

Function Notation with Graphs & Tables

Read f(x) from a graph or a table, find the input that gives a certain output, and combine function values.

0/8

Geometric Sequences

Find the common ratio, find a term, write a rule, and tell arithmetic and geometric sequences apart.

0/8

Graphing Absolute Value Functions

Find the vertex, direction, axis of symmetry, intercepts, slopes and range of y = a|x - h| + k, and write the equation of a V-shaped graph.

0/8

Graphing Linear Inequalities in Two Variables

Test whether a point is a solution of a linear inequality, decide if the boundary line is solid or dashed and which side to shade, and write an inequality from its graph.

0/8

Graphing Quadratic Functions (Vertex & Axis of Symmetry)

Find the vertex, axis of symmetry, maximum or minimum value and x-intercepts of parabolas from equations and graphs.

0/8

Standard Form & Intercepts

Find x- and y-intercepts from standard form Ax + By = C and convert between standard and slope-intercept form.

0/8

Writing Equations of Lines (Point-Slope Form)

Write the equation of a line from its slope and a point, from two points, or from its graph, in slope-intercept or point-slope form.

0/8

Completing the Square

Complete the square to make perfect-square trinomials, write quadratics in vertex form, and solve equations.

0/8

Parallel & Perpendicular Lines

Use slopes to identify parallel and perpendicular lines and to write their equations.

0/8

Scatter Plots, Correlation & Residuals

Describe correlation in scatter plots, estimate the correlation coefficient, use a line of fit to predict, and find residuals.

0/8

Standard Deviation & Measures of Spread

Find the mean, range, population variance and population standard deviation of small data sets, and compare how spread out two data sets are.

0/8

Two-Way Tables & Relative Frequency

Complete two-way frequency tables and find joint, marginal and conditional relative frequencies.

0/8

Word Problems

Systems of equations word problems.

0/8

Mixture & Work Word Problems

Solve mixture problems (two solutions or two prices blended together) and work problems (two workers, or a pipe and a drain, working at the same time).

0/8