Grade 9 math practice

A. Integers

1. Opposites, absolute value and ordering integers

B. Algebra

1. Simplify expressions: like terms and the distributive property
2. Write expressions and equations from words
3. Identify equivalent expressions
4. Solve two-step equations
5. Solve equations with variables on both sides and brackets
6. Does x satisfy the equation?
7. Solve linear equations: word problems
8. Solve inequalities and find solution sets
9. The distributive property with variables
10. Multiply binomials

C. Exponents

1. Zero and negative exponents
2. Simplify with all the exponent laws
3. Fractional exponents and roots
4. Solve exponential equations

D. Radicals

1. Simplify square roots
2. Add and subtract radicals
3. The distributive property with radicals
4. Rationalize the denominator: conjugates
5. Add and subtract radical fractions: different denominators

E. Rates, Percent and Finance

1. Unit prices and best buys
2. Proportions and scale drawings: word problems
3. Percent of change
4. Profit and loss percent

F. Sequences

1. Arithmetic sequences
2. Geometric sequences

G. Linear Relations

1. Slope from two points
2. Slope-intercept form y = mx + b
3. Equation of a line from a point and the slope
4. Equation of a line through two points
5. Standard form Ax + By + C = 0
6. x- and y-intercepts and the intercept form
7. Parallel and perpendicular lines
8. Horizontal and vertical lines, x + y = k and xy = k
9. Rate of change and initial value from a table
10. Point of intersection of two lines

H. Quadratic Relations

1. Standard, factored and vertex form
2. Expand factored and vertex form into standard form
3. Factor quadratic expressions
4. Find the zeros by factoring
5. Vertex form by completing the square
6. Read a parabola from its graph

I. Trigonometry

1. Primary trig ratios: SOH CAH TOA
2. Trig values for 0°, 30°, 45°, 60° and 90°
3. Find a side using trigonometry
4. Find an angle using inverse trig
5. Trigonometry word problems

J. Measurement and Geometry

1. Circles: circumference, area, arcs and sectors
2. Volume of prisms, pyramids, cylinders and cones
3. Perimeter, area and volume under scaling
4. Pythagorean theorem, its converse and special right triangles
5. Convert metric and imperial units

K. Data

1. Mean, median, quartiles and box plots
2. Samples, bias and correlation