Student Interest Survey 1. What is your favorite book from childhood? 2. What is the farthest point you've traveled away from home? 3. What is a recent movie you enjoyed, and what did you like about it? 4. What is your favorite place to be and why? 5. What is your favorite food? 6. What is your favorite kind of music? 7. What is your favorite sport? 8. To what organizations / teams / clubs do you belong? 9. Name someone you admire and tell why. 10. What are two common activities you do after getting home from school.

Student Interest Survey 11. What is a responsibility you have? 12. What do you want to do for a career? 13. What is something about which you daydream? 14. What is something about which you are curious? 15. What would the title of a book about your life be? 16. If you could go back two years ago, what advice would you give yourself? 17. Describe yourself as a friend. 18. Describe your best friend. 19. Describe your family. 20. What do you I need to know about you, or what do you want me to know about you?

1.1 Patterns and Expressions Variables- symbol, usually a letter, that represents one or more numbers Numerical Expression- mathematical phrase that contains numbers and operation symbols Algebraic Expression- mathematical phrase that contains one or more variables

1.2 Properties of Real Numbers

1.2 Properties of Real Numbers Solution Set- the set of all replacements for a variable that make a sentence true Equation- a sentence that contains an = sign Inequality- a sentence that contains < > ≤ ≥

1.3 Algebraic Expressions Term- an expression that is a number, a variable, or the product of a number and one or more variables Coefficient- numerical factor of a term Constant Term- term with no variables

1.4 Solving Equations

1.5 Solving Inequalities

1.5 Solving Inequalities Transitive Property of Inequality- Compound Inequality- joining of two inequalities

1.6 Absolute Value Equations and Inequalities Absolute Value- the distance a number is from zero on the number line, written 𝑎 , thus it is always positive Extraneous Solution- solution derived from an original equation that is not a solution of the original equation

2.1 Relations and Functions Relation- set of ordered pairs containing input and output values Domain- x values, set of inputs, or 1st number of ordered pair Range- y values, set of outputs, or 2nd number of ordered pair

2.1 Relations and Functions

2.1 Relations and Functions Function- a relation where each element of the domain corresponds with exactly one element of the range (vertical line test or x cannot repeat); notated f(x) = y Independent Variable- input value, x, on the horizontal axis e.g. time Dependent Variable- output value, y, on the vertical axis, depends on input e.g. hourly salary

2.2 Direct Variation Direct Variation- y = kx , which is to say that as one + the other is +, as one - the other - Constant of Variation- the scalar, or constant k, is the ratio of input-output pairs e.g y/x = k

2.3 Linear Functions and Slope-Intercept form Slope- m= Linear Function- a function whose graph is a line, represented by a linear equation Slope-Intercept Form- y=𝑚𝑥+𝑏 m = slope and (0,b) is the y-intercept

2.4 More About Linear Equations Point-Slope Form- y− 𝑦 1 =𝑚(𝑥− 𝑥 1 ) Standard Form- Ax + By = C -Slopes of Parallel lines are equal -Slopes of Perpendicular Lines are opposite reciprocals

2.5 Linear Models Scatter Plot- graph relating two sets of data by plotting the data as ordered pairs Correlation- strength of the relationship between two sets of data -Slopes of Parallel lines are equal -Slopes of Perpendicular Lines are opposite reciprocals

2.6 Families of Functions Parent Function- simplest form in a set of functions that form a family Transformation- changing a function from the parent function Translation- shifts the parent function graph without changing its shape or orientation f(x) ± k (vertical translation) f(x ± k) (horizontal translation)

2.6 Families of Functions Reflection- flips the graph of the parent function across a line f(x)  f(-x) (reflection across y-axis) f(x)  -f(x) (reflection across x-axis) Dilation- multiplying the y-value of the parent function by a scalar y = af(x) a>1 is a stretch a<1 is a compression

2.7 Absolute Value Functions and Graphs Axis of Symmetry- the line about which a graph is symmetric Vertex- a single maximum or minimum point

2.7 Absolute Value Functions and Graphs y = 𝑥 ± k (vertical translation) y = 𝑥± k (horizontal translation) y = - 𝑥 (reflection in the x-axis) y = −𝑥 (reflection in the y-axis) y = a 𝑥 a>1 is a stretch a<1 is a compression

2.8 Two-Variable Inequalities Linear Inequality- inequality in two variables whose graph is a region of the coordinate plane bounded by a line