1. Created by Mrs. J. McDaniel

2. 1.Solve the system for the y-value ANSWER HINT Since we need to solve just for the y-value, we need to eliminate the x-values by multiplying the second equation by 2

3. 2.What is the x-value for the system of equations? ANSWER HINT Since we need to solve just for the x-value, we need to eliminate the y-values by multiplying the second equation by 4

4. 3. Solve the system for y. ANSWER HINT Since we need to solve for the y-value we can eliminate the x-values by multiplying the first equation by 2 and the second equation by –3

5. 4.Solve the system of equations. ANSWER HINT This time we need to solve for both values. We can use substitution by replacing the y-value in the first equation with – 6x – 5, or use elimination by adding 6x to both sides of the second equation. Then you would have to multiply the first equation by –6.

6. 5. Solve the system for x. ANSWER HINT Since we need to solve just for the y-value, we need to eliminate the x-values by multiplying the second equation by 2

7. 6.Solve: ANSWER HINT Multiplying both sides of the equation by 2.

8. 7.Solve: ANSWER HINT We will use cross products by multiplying (4x – 2) by –2 and (2x – 3) by –3.

9. 8.Solve: ANSWER HINT We will use cross products by multiplying (x + 3) by 5 and (2) by 10.

10. 9.Solve for x: ANSWER HINT Distribute the –3, then combine like terms on the right side before solving.

11. 10.Solve for w: ANSWER HINT Multiplying all three terms (including 3w ) by 7.

12. 11.J. D. has $35 and wants to buy ice cream bars for $3 each. Write an equation that can be used to determine the amount of money he will have left, (M), after he buys, (b), ice cream bars. ANSWER HINT Since we are determining (M), the equation should start with M =. Then decide whether the b goes with $35 or $3. How many ice cream bars can he buy if he wants to have $5 left? HINT Replace M with 5 and solve for b. ANSWER

13. 12.Graph ANSWER HINT

14. 13.Graph ANSWER HINT

15. 14.Graph ANSWER HINT

16. 15.Which graph represents the system? ANSWER HINT Use a test Point that works in BOTH INEQUALITIES A B C D

17. 16.Find the solution for x in the equation: ANSWER HINT Either Factor or use the QUADRATIC FORMULA. :>)

18. 17.Solve: ANSWER HINT Use the Quadratic Formula

19. 18.Find the x-intercepts for the equation ANSWER HINT Change the y to 0, then set both x – 4 and x + 2 =0 A(4, 0) and (2, 0) B(4, 0) and (-2, 0) C(-4, 0) and (2, 0) D(-4, 0) and (-2, 0)

20. 19.Given a rectangle with dimensions width (x+2) and length (x-5), write an equation that can be used to determine the area, A. ANSWER HINT Find the value of x if the area is 30 m 2. HINT FOIL or use a Punet Square, set =30, empty a side, use the QF. ANSWER Make sure you use A here.

21. 20.Simplify ANSWER HINT Add Exponents

22. 21.Simplify ANSWER HINT Multiply Exponents

23. 22.Simplify ANSWER HINT Multiply Exponents

24. 23.Simplify ANSWER HINT FOIL or Punet Square

25. 24.Simplify ANSWER HINT FOIL or Punet Square