Day 1 Standards 1.0, 2.0, 3.0, 4.0 Arithmetic Properties and Operations One Variable Equations Absolute Value Equations

Arithmetic Properties and Operations Commutative Property Addition- For any numbers a and b, a + b= b +a Ex. 21x +7 = 7+ 21x Multiplication- For any numbers a and b, ab =ba Ex. 3x(5+y) = (5+y) 3x We can change the order without changing the result

Associative Property Addition- For any number a,b and c a+(b+c)= (a+b)+c Example: 2x+(3x+4)=(2x+3x)+4 Multiplication- For any numbers a, b and c A(bc)=(ab)c Example: 2x(yz)=(2xy)z

Distributive Property For any numbers a, b and c a(b + c) = ab + ac (b +c) a = ab +ac Examples: 5(2x + 3)= 10x + 15 (x + 4) 3= 3x + 12

Identity Property Addition- For any number a, a + 0= a Example: 5c + 0= 5c Multiplication For any number a, a(1)=a Example: 3x(1) = 3x

Inverse Property Additive inverse- Two rational numbers whose sum is 0 a+(-a)=0 Example: 5 + (-5) = 0

Reciprocal and Inverse Multiplicative Inverse Two rational numbers whose product is 1 Or the multiplication of reciprocals a(1/a)= 1 Example 3(1/3)=1 The reciprocal of 3/5 is 5/3 because 3/5 (5/3) =1

One Variable Equation Solve the following equations: 2x + 5 = x x 3(5-2x) - 4 = -2 (x -3) x

Absolute Equations Solve the following equations: |3x-2|=7 3|4-2x| = 6

Absolute Value Inequalities Solve the following absolute value inequalities: |3x-4|>2 |5x-10|<20

DAY 2 Standards 6.0, 7.0, 8.0 Linear Equations

Does the point (3, -2) lie on the line 3x – 4y = 5 ? Is (5, -1) a solution to ?

What are the x and y-intercepts of the graph? 1)3x + 2y = 8 2) y=3x-4

Write an equation for a line that has a slope of ½ and contains the point (4, -3). Write an equation for a line that has a slope -3 and passes through the point (-1, 2).

Graph each line. 2x-3y=-12

Write an equation for each line. Extra Practice:

Are the graphs of the two equations parallel? Are the graphs of the two equations perpendicular?

Write an equation for a line that is perpendicular to 4x-5y=22 and passes through the point (8, -2)

Day 3 Systems of Equations Standards 3.0, 6.0, 9.0

Solve the system of equations using the graphing method Y=x+1 6x+3Y=12

Solve the system of equations using the graphing method y+2x=5 2y-5x=10

Solve the system of equations by using the substitution method y=x+5 4x+2y=16

Solve the system of equations by using the substitution method y=-3x-5 y=x+3

Solve the system of equations by using the addition method x+y=5 2x-y=4

Solve the system of equations by using the addition method 3x – 4y = 16 5x + 6y =14

Solve the system of equations by using the addition method 2x – 5y = 8 6x -15y =10

DAY 4 STANDARDS 3.0,6.0,9.0 ONE VARIABLES INEQUALITIES LINEAR INEQUALITIES SYSTEM OF LINEAR INEQUALITIES

What is the solution to the inequality -6x – 9 > 27 ?

What is the solution to the inequality

Graph the inequality

Graph the following system of inequalities

Day 5 Standards 2.0, 10.0, 11.0 Exponents Rules Polynomial Operations Factoring Polynomials

Exponents Simplify (3x 2 ) 4 = 3(x 2 ) 4 = 2x 3 y(4x 2 y 3 )=

Polynomials Simplify the following expressions: (5xy + 3x) + (xy + 4x - 4y) = (2x 2 + 5x) - (4x 2 - 3x) = (4x 2 - 3y)(2x + 5y)= (6x - 3)(x - 4) = (2x - 3) 2 =

Factoring 5x - 10x 2 = 4a 2 - 6ac = 9a = 16c 4 - d 2 = x 2 - 7x + 12 = 2x 2 - 3x - 5 = e 2 - 4e + 4 = h h + 36= 2x 2 - 6x - 20 = ad 2 - 5dx + 4d =

Day 6 Standards: 11.0, 14.0, 19.0, 20.0, 21.0, 22.0, 23.0 Quadratic Equations Graphs of Quadratic Equations Projectile Motion

Solve the quadratic equations 1)X 2 -2x-15=0 2) 4x 2 – 9 = 0 3) 4y 2 +3y=7 4) x 2 -6x=3

Complete the square 2x 2 +6x+2=0

Determine the number of solutions: 3x 2 +4x+1=0 Determine the number of x-intercepts: y=x 2 +5x+9 Determine the number of roots: x 2 +4x+4

Sketch the graph of y=x 2 +7x+6 X-intercepts: Opens up/down? Vertex:

Sketch the graph of f(x) = -3x X-intercepts: Opens up/down? Vertex:

A ball is thrown in the air. The relationship between the time the ball is in the air in seconds (t) and the height of the ball in feet above the ground (h) is represented by h=-16t t + 6. How many seconds will it take for the ball to hit the ground.