CHAPTER 4 REVIEW October 2014

 What method should we use to solve the system of equations ? Hmmm.. I have a lonely letter…. SUBSTITUTION Neither is solved for X or Y…. The x’s have the same coefficient…. I can add and get rid of the x values…. ELIMINATION Both are solved for Y already…. Let’s graph or use the equal values method Neither is solved for X or Y…. The y’s have the same coefficient…. I can subtract and get rid of the y values…. ELIMINATION

Jason and Lacy are saving money for a car. Jason currently has $1,500 and is working hard to save $25 per month. Lacy only has $1,200 in savings but is saving $100 per month. In how many months will they have the same amount in savings?  To solve this problem, let _______ represent the time they have been saving (in months).  Let _______ represent the amount Jason has saved, and let _______ represent the amount Lacy has saved.  The equation representing Jason’s savings is ________.  The equation representing Lacy’s savings is ________.  They will have saved same amount after ________ months E G A D F H

(4,6) is a solution for equation #2 A Equation #1 will have a slope of 2 B The solution for the system is (0,20) C The system has no solution. D select all that apply. Given: 2x-2y=16 y=x+2 Which statements below are true based on the system of equations given above? A D

Solve these systems using the method of your choice. (Write your answer as ordered pair.) (1, -13)(5, -4)

What type of systems have:  infinite solutions ? What type of systems have:  no solution  How do systems of equations and graphs relate to each other What type of systems have:  one solution?  The intersection of the lines shows the solution to the system.  Parallel lines- they never intersect  Lines that coincide- they appear on top of each other when graphed.  Lines that intersect- cross at 1 point, which is the solution to the system

Solve for y. Identify the slope and y-intercept for each. m = _________ b = _________ m = _________ b = _________ 8/3 x -1 = y -3/5 x +3 = y 8/3 -3/5 +3

In a basketball game, Marlene made 16 field goals. Each of the field goals was worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals. Let x represent the number of two-point field goals and y represent the number of three point field goals.  Write an equation or system of equations in terms of x and y to model the situation.  How many two-point field goals did Marlene make in the game? 9

Jackson University has x number of students in its Freshman class. The Senior Class has 225 less than double the students the Freshman Class has. When the two classes merge into one building, there will be2685 students.  Write an equation or system of equations to represent the situation.  How many students did the Senior Class have? 1715 students

5

½ 24 ¾ /4

Simplify the following exponential expressions. (4x −3 ) 4 ( x 3 y 3 )(x −2 y −4 ) x2y3x2y3

-3 3x 5x +4 Write the area as a product equal to a simplified sum. _____________________ = ____________________ 15x 2 12x -15x -12 (3x – 3)(5x + 4) 15x 2 -3x -12

 Domain: _______________  Range: _________________ −2 ≤ ≤ 4 −1 ≤ y ≤ 3

 Domain: _______________  Range: _________________