Get ready for SAT prep: Math
This "pre-prep" course is designed to prepare you for our SAT Math course. It's not designed to prepare you for the SAT Math section itself: rather, it's here to help you learn and practice the fundamental skills you'll need to then tackle our SAT Math course! Early preppers (9th and 10th graders) and students who are struggling with the SAT Math course at the "Foundations" level: this course is a resource for you!
4 units302 videos26 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Get ready: Algebra
Solving linear equations and inequalities
Same thing to both sides of equations ✓ Check-ins2:32
Intro to two-step equations ✓ Check-ins5:12
Two-step equations intuition ✓ Check-ins8:41
Worked example: two-step equations ✓ Check-ins3:04
One-step inequalities examples ✓ Check-ins10:27
One-step inequalities: -5c ≤ 15 ✓ Check-ins2:54
Two-step inequalities ✓ Check-ins4:32
Intro to equations with variables on both sides ✓ Check-ins8:53
Equations with variables on both sides: 20-7x=6x-6 ✓ Check-ins4:06
Equations with parentheses ✓ Check-ins6:04
Linear equation word problems
Equation word problem: super yoga (1 of 2) ✓ Check-ins7:19
Equation word problem: super yoga (2 of 2) ✓ Check-ins7:40
Two-step equation word problem: computers ✓ Check-ins4:46
Two-step equation word problem: garden ✓ Check-ins2:02
Two-step equation word problem: oranges ✓ Check-ins5:59
Linear equations word problems: volcano ✓ Check-ins5:58
Linear equations word problems: earnings ✓ Check-ins4:03
Modeling with linear equations: snow ✓ Check-ins4:58
Linear function example: spending money ✓ Check-ins5:22
Constructing linear equations from context ✓ Check-ins3:07
Linear equation word problems ✓ Check-ins3:41
Graphs of linear equations and functions: Slope-intercept form
Intro to slope-intercept form ✓ Check-ins9:00
Worked examples: slope-intercept intro ✓ Check-ins3:46
Graph from slope-intercept equation ✓ Check-ins3:01
Slope-intercept equation from graph ✓ Check-ins11:11
Slope-intercept equation from slope & point ✓ Check-ins3:46
Slope-intercept equation from two points ✓ Check-ins6:42
Slope-intercept form problems ✓ Check-ins14:58
Slope-intercept form from a table ✓ Check-ins4:26
Graphs of linear equations and functions: Point-slope and standard form
Intro to point-slope form ✓ Check-ins6:07
Point-slope & slope-intercept equations ✓ Check-ins7:07
Intro to linear equation standard form ✓ Check-ins8:07
Graphing a linear equation: 5x+2y=20 ✓ Check-ins4:29
Clarifying standard form rules ✓ Check-ins4:49
Converting from slope-intercept to standard form ✓ Check-ins5:09
Writing linear equations in all forms ✓ Check-ins7:56
Solving systems of linear equations: Testing and substitution
Systems of equations: trolls, tolls (1 of 2) ✓ Check-ins6:51
Systems of equations: trolls, tolls (2 of 2) ✓ Check-ins5:41
Testing a solution to a system of equations ✓ Check-ins2:38
Systems of equations with substitution: 2y=x+7 & x=y-4 ✓ Check-ins4:39
Systems of equations with substitution: y=4x-17.5 & y+2x=6.5 ✓ Check-ins4:06
Systems of equations with substitution: -3x-4y=-2 & y=2x-5 ✓ Check-ins4:21
Systems of equations with substitution: 9x+3y=15 & y-x=5 ✓ Check-ins6:04
Systems of equations with substitution: y=-5x+8 & 10x+2y=-2 ✓ Check-ins3:44
Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120 ✓ Check-ins3:44
Solving systems of linear equations: Elimination and number of solutions
Systems of equations with elimination: King's cupcakes ✓ Check-ins9:00
Elimination strategies ✓ Check-ins7:16
Systems of equations with elimination: x-4y=-18 & -x+3y=11 ✓ Check-ins5:59
Systems of equations with elimination: potato chips ✓ Check-ins9:21
Systems of equations with elimination (and manipulation) ✓ Check-ins12:01
Why can we subtract one equation from the other in a system of equations? ✓ Check-ins8:13
Worked example: equivalent systems of equations ✓ Check-ins5:31
Worked example: non-equivalent systems of equations ✓ Check-ins4:30
Reasoning with systems of equations ✓ Check-ins8:36
Systems of linear equations word problems
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 ✓ Check-ins2:22
Systems of equations with graphing: exact & approximate solutions ✓ Check-ins5:56
Age word problem: Imran ✓ Check-ins3:43
Age word problem: Ben & William ✓ Check-ins6:28
Age word problem: Arman & Diya ✓ Check-ins5:21
System of equations word problem: walk & ride ✓ Check-ins7:00
System of equations word problem: no solution ✓ Check-ins5:03
System of equations word problem: infinite solutions ✓ Check-ins5:01
Systems of equations with elimination: TV & DVD ✓ Check-ins5:51
Systems of equations with elimination: apples and oranges ✓ Check-ins5:06
Systems of equations with substitution: coins ✓ Check-ins5:58
Systems of equations with elimination: coffee and croissants ✓ Check-ins4:15
Linear inequality word problems
Testing solutions to inequalities ✓ Check-ins6:06
Writing two-variable inequalities word problem ✓ Check-ins2:22
Solving two-variable inequalities word problem ✓ Check-ins3:42
Interpreting two-variable inequalities word problem ✓ Check-ins4:20
Modeling with systems of inequalities ✓ Check-ins9:45
Writing systems of inequalities word problem ✓ Check-ins4:00
Solving systems of inequalities word problem ✓ Check-ins4:25
Graphs of systems of inequalities word problem ✓ Check-ins3:35
Graphs of two-variable inequalities word problem ✓ Check-ins4:59
Graphs of linear systems and inequalities
Systems of equations with graphing ✓ Check-ins8:30- Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 ✓ Check-ins2:22
Systems of equations with graphing: 5x+3y=7 & 3x-2y=8 ✓ Check-ins6:35
Systems of equations with graphing: chores ✓ Check-ins5:19- Systems of equations with graphing: exact & approximate solutions ✓ Check-ins5:56
Testing solutions to systems of inequalities ✓ Check-ins1:15
Intro to graphing two-variable inequalities ✓ Check-ins8:03
Graphing two-variable inequalities ✓ Check-ins3:03
Two-variable inequalities from their graphs ✓ Check-ins3:20
Intro to graphing systems of inequalities ✓ Check-ins5:36
Graphing systems of inequalities ✓ Check-ins3:24
Unit 2: Get ready: Problem solving and data analysis
Ratios, rates, and proportions: Ratios
Ratios, rates, and proportions: Rates
Ratios, rates, and proportions: Proportions
Intro to proportional relationships ✓ Check-ins3:50
Proportional relationships: movie tickets ✓ Check-ins1:46
Proportional relationships: bananas ✓ Check-ins2:57
Proportional relationships: spaghetti ✓ Check-ins1:03
Proportional relationships ✓ Check-ins4:03
Worked example: Solving proportions ✓ Check-ins7:20
Writing proportions example ✓ Check-ins5:51
Proportion word problem: cookies ✓ Check-ins5:48
Proportion word problem: hot dogs ✓ Check-ins4:58
Unit conversion
Intro to dimensional analysis ✓ Check-ins6:29
Same rate with different units ✓ Check-ins9:55
Creativity break: When did you first realize that you liked algebra ✓ Check-ins1:42
Defining appropriate quantities for modeling ✓ Check-ins6:11
Formulas and units: Volume of a pool ✓ Check-ins3:20
Formulas and units: Comparing rates ✓ Check-ins3:42
Reporting measurements ✓ Check-ins6:03
Using units to solve problems: Toy factory ✓ Check-ins3:03
Using units to solve problems: Road trip ✓ Check-ins3:54
Using units to solve problems: Drug dosage ✓ Check-ins10:44
Percentages
The meaning of percent ✓ Check-ins3:01
Meaning of 109% ✓ Check-ins2:22
Percents from fraction models ✓ Check-ins4:22
Fraction, decimal, and percent from visual model ✓ Check-ins3:33
Converting percents to decimals & fractions example ✓ Check-ins3:32
Percent of a whole number ✓ Check-ins2:07
Ways to rewrite a percentage ✓ Check-ins2:00
Finding common percentages ✓ Check-ins2:52
Finding a percent ✓ Check-ins3:33
Percent word problem: recycling cans ✓ Check-ins2:49
Center, spread, and shape of distributions
Data representations
Scatterplots
Constructing a scatter plot ✓ Check-ins2:32
Example of direction in scatterplots ✓ Check-ins2:26
Scatter plot: smokers ✓ Check-ins2:35
Estimating the line of best fit exercise ✓ Check-ins1:17
Line of best fit: smoking in 1945 ✓ Check-ins4:47
Estimating with linear regression (linear models) ✓ Check-ins3:23
Interpreting a trend line ✓ Check-ins3:28
Linear and exponential growth
Intro to exponential functions ✓ Check-ins7:41
Exponential vs. linear growth ✓ Check-ins3:05
Exponential vs. linear models: verbal ✓ Check-ins3:28
Exponential vs. linear models: table ✓ Check-ins3:26
Linear vs. exponential growth: from data ✓ Check-ins5:57
Linear vs. exponential growth: from data (example 2) ✓ Check-ins6:56
Probability and relative frequency: Basics
Intro to theoretical probability ✓ Check-ins8:18
Simple probability: yellow marble ✓ Check-ins2:56
Simple probability: non-blue marble ✓ Check-ins9:56
Experimental probability ✓ Check-ins6:55
Intuitive sense of probabilities ✓ Check-ins8:51
Theoretical and experimental probabilities ✓ Check-ins7:02
Making predictions with probability ✓ Check-ins5:05
Probability models example: frozen yogurt ✓ Check-ins7:25
Probability and relative frequency: Compound events
Probability and relative frequency: Two-way tables
Data inferences & evaluating statistical claims
Unit 3: Get ready: Advanced math
Factoring quadratic and polynomial expressions
Radicals and rational exponents
Exponent properties with products ✓ Check-ins14:00
Exponent properties with parentheses ✓ Check-ins5:58
Exponent properties with quotients ✓ Check-ins9:22
Intro to rational exponents ✓ Check-ins5:00
Rewriting roots as rational exponents ✓ Check-ins4:19
Exponential equation with rational answer ✓ Check-ins4:02
Operations with polynomials
Operations with rational expressions
Nonlinear functions
What is a function? ✓ Check-ins7:57
Worked example: Evaluating functions from equation ✓ Check-ins0:59
Function notation example ✓ Check-ins2:13
Worked example: Evaluating functions from graph ✓ Check-ins0:44
Equations vs. functions ✓ Check-ins4:18
Manipulating formulas: temperature ✓ Check-ins2:41
Obtaining a function from an equation ✓ Check-ins3:04
Intro to composing functions ✓ Check-ins6:15
Evaluating composite functions ✓ Check-ins4:10
Isolating quantities
Solving quadratic equations: Square roots
Solving quadratic equations: Factoring
Zero product property ✓ Check-ins7:17
Solving quadratics by factoring ✓ Check-ins6:22
Solving quadratics by factoring: leading coefficient ≠ 1 ✓ Check-ins4:35
Solving quadratics using structure ✓ Check-ins3:55
Quadratic equations word problem: triangle dimensions ✓ Check-ins8:21
Quadratic equations word problem: box dimensions ✓ Check-ins5:54
Solving quadratic equations: Quadratic formula
Linear and quadratic systems
Radical, rational, and absolute value equations
Intro to square roots ✓ Check-ins5:24
Understanding square roots ✓ Check-ins1:21
Square root of decimal ✓ Check-ins3:04
Intro to cube roots ✓ Check-ins8:01
5th roots ✓ Check-ins4:21
Intro to absolute value equations and graphs ✓ Check-ins10:41
Worked example: absolute value equation with two solutions ✓ Check-ins4:50
Worked example: absolute value equations with one solution ✓ Check-ins2:36
Worked example: absolute value equations with no solution ✓ Check-ins3:50
Quadratic and exponential word problems: Quadratic
Vertex form introduction ✓ Check-ins6:13
Quadratic word problems (vertex form) ✓ Check-ins7:03
Quadratic word problems (factored form) ✓ Check-ins5:35
Finding the vertex of a parabola in standard form ✓ Check-ins5:40
Quadratic word problem: ball ✓ Check-ins5:53- Quadratic equations word problem: triangle dimensions ✓ Check-ins8:21
- Quadratic equations word problem: box dimensions ✓ Check-ins5:54
Quadratic and exponential word problems: Exponential
Exponential expressions word problems (numerical) ✓ Check-ins4:56
Initial value & common ratio of exponential functions ✓ Check-ins5:27
Exponential expressions word problems (algebraic) ✓ Check-ins3:36
Interpreting exponential expression word problem ✓ Check-ins2:45
Exponential vs. linear growth over time ✓ Check-ins5:05
Writing exponential functions from graphs ✓ Check-ins7:25
Analyzing tables of exponential functions ✓ Check-ins7:20
Analyzing graphs of exponential functions ✓ Check-ins4:06
Analyzing graphs of exponential functions: negative initial value ✓ Check-ins6:07
Modeling with basic exponential functions word problem ✓ Check-ins5:37
Quadratic graphs
Forms & features of quadratic functions ✓ Check-ins8:29
Worked examples: Forms & features of quadratic functions ✓ Check-ins6:42
Vertex & axis of symmetry of a parabola ✓ Check-ins7:22
Finding features of quadratic functions ✓ Check-ins8:23
Interpret quadratic models: Factored form ✓ Check-ins4:00
Interpret quadratic models: Vertex form ✓ Check-ins5:53
Creativity break: How does creativity play a role in your everyday life? ✓ Check-ins2:24
Exponential graphs
Polynomial and other nonlinear graphs
Intro to the Polynomial Remainder Theorem ✓ Check-ins6:43
Remainder theorem: finding remainder from equation ✓ Check-ins3:32
Remainder theorem: checking factors ✓ Check-ins3:26
Remainder theorem: finding coefficients ✓ Check-ins3:39
Proof of the Polynomial Remainder Theorem ✓ Check-ins5:42
Zeros of polynomials & their graphs ✓ Check-ins5:27
Intro to end behavior of polynomials ✓ Check-ins8:10
End behavior of functions & their graphs ✓ Check-ins2:23
Unit 4: Get ready: Geometry and trigonometry
Area and volume
Congruence, similarity, and angle relationships
Right triangle trigonometry: Pythagorean theorem
Right triangle trigonometry: Ratios
Circle theorems
Unit circle trigonometry
Radians as ratio of arc length to radius ✓ Check-ins6:40
Intro to radians ✓ Check-ins10:51
Radians & degrees ✓ Check-ins7:12
Degrees to radians ✓ Check-ins7:02
Radians to degrees ✓ Check-ins3:20
Arc length as fraction of circumference ✓ Check-ins2:59
Arc length from subtended angle: radians ✓ Check-ins2:39
Circle equations
Intro to conic sections ✓ Check-ins10:58
Graphing circles from features ✓ Check-ins2:09
Features of a circle from its graph ✓ Check-ins3:50
Features of a circle from its standard equation ✓ Check-ins3:51
Graphing a circle from its standard equation ✓ Check-ins5:14
Writing standard equation of a circle ✓ Check-ins5:40
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
Course content © Khan Academy, used under CC BY-NC-SA. See this course on Khan Academy.