Coordinate Algebra Unit 2 Review EOCT Review Name: ______Date: ______

Use the following to review for you test. Work the Practice Problems on a separate sheet of paper. What you need Things to to know & be Problem Problem remember able to do 1. Which property is illustrated by 2. What is an example of the the following: transitive property? 6 5 Identify and apply the Study your property g =1 properties of equality. sheet! 5 6

y= - x - 2 y= x + 2 3. x+ y = 3 4. 1 y= x - 1 4  Get “y” by itself.  Identify the slope 6 6 Find the solution of a (m) and the y-int 4 system of linear 4 (b) equations by 2 2  y = mx + b graphing.  Check your -6 -4 -2 2 4 6 -6 -4 -2 2 4 6 answer! -2 -2

-4 -4

-6 -6

-7x + 8y = 6 8x + 2y =16 5. 6.  Solve one of the x + 4y =- 6 x- y = 7 equations for a variable (either x Find the solution of a or y). system of linear  Substitute into the equations by other equation. substitution.  Plug back into the ORIGINAL!  Check your answer!

 Decide which 12x- 8y =12 -2x - 7y = 6 variable you want 7. 8. to get rid of. 6x- 7y = - 12 -x - 3y = 3  Make sure the coefficients are Find the solution of a opposite system of linear  Add the two equations by equations. elimination.  Solve for the variable.  Substitute back into the original.  Check your answer! Coordinate Algebra Unit 2 Review EOCT Review  Check if a pair is -3x + y =17 3x- 3y = - 3 already opposite 9. 10. for elimination. 8x + 7y = 3 -5x + 9y = 29  Check to see if Find the solution of a either equation is system of linear already solved for equations by the best a variable for method. substitution.  Check to see if the equations are already in slope- intercept form. 11. Amy’s school is selling 12. The band is selling wrapping tickets to a choral paper for a fundraiser. performance. A senior Customers can buy rolls of citizen’s ticket is $6 and a plain wrapping paper and rolls  Define x and y. child’s ticket is $15. If they of shiny wrapping paper. The  Set up two made $810 dollars and sold band sold a total of 55 rolls and Solving a System of equations. a total of 72 child and senior made $950. If a roll of plain Linear Equations  Decide the best citizen tickets, how many of costs $14 and a roll of shiny Word Problem method. each ticket did they sell?600 costs $20, how many rolls of  Solve. each did they sell?

y >- 2x - 3 y x +1 14.  Make sure both 13. 1 y <- x - 3 y x + 2 equations are in 2 slope-intercept form.  Decide if the lines 6 6

Graphing a system of will be solid or 4 4 linear inequalities. dashed. 2  Graph the lines. 2  Test a point- -6 -4 -2 2 4 6 -6 -4 -2 2 4 6 typically (0,0). -2 -2

 Shade -4 -4 appropriately. -6 -6

15. Maria has a $150 to Graph for 15: spend at the record store. She  Define x and y. bought fewer than 20  Set up two recordings. Each tape cost inequalities. $5.95 and each CD cost  Get both $8.95. How many of each type Solving a System of inequalities in of recording might she have Linear Inequalities slope-intercept bought? Word Problem form.  Graph each line.  Shade appropriately.