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ALGEBRA 1B MIDTERM REVIEW 1. WRITE THE FOLLOWING INEQUALITY IN SLOPE-INTERCEPT FORM 4 x 8 y 40 2. FIND A SOLUTION TO THE SYSTEM y 3x 9 y 2 x 11 3. SIMPLIFY 12 120 x y 4 9 30 x y 5 4. SIMPLIFY 50 4 8 5. YOU AND YOUR FATHER ARE GOING TO THE STORE TO BUY DONUTS AND CHEETOS. YOU PURCHASE 6 DONUTS AND 4 BAGS OF CHEETOS FOR $10. YOUR FATHER BUYS 4 DONUTS AND 8 BAGS OF CHEETOS FOR $12. A. DEFINE TWO VARIABLES B. WRITE A SYSTEM OF EQUATIONS TO FIND THE COST OF ONE DONUT AND ONE BAG OF CHEETOS. C. FIND THE COST OF EACH ITEM. 6. SOLVE THE SYSTEM OF EQUATIONS USING ANY METHOD 4 x 3 y 8 5 x 2 y 11 7. SOLVE THE SYSTEM OF EQUATIONS USING ANY METHOD 5 x 3 y 51 y 10 x 8 8. GRAPH THE INEQUALITY IN A COORDINATE PLANE. 1 y x4 3 9. GRAPH THE INEQUALITY IN A COORDINATE PLANE. 1 y 2 x 3 y 2 x 2 3 10. SOLVE THE EQUATION. DETERMINE WHETHER THE EQUATION HAS ONE SOLUTION, NO SOLUTION, OR INFINITELY MANY SOLUTIONS 4(2 x 5) 6 x 4 x 18 2 x 11. SOLVE THE EQUATION. DETERMINE WHETHER THE EQUATION HAS ONE SOLUTION, NO SOLUTION, OR INFINITELY MANY SOLUTIONS 3x 4 5x 6x 3 4 14. WHICH OF THE FOLLOWING EQUATIONS ARE EQUIVALENT? SHOW YOUR WORK 2 a. x 6 3 9 b. 2 x 7 x (12 15) 3 c. 5(2 x 1) 91 15. USE THE GRAPH OF THE LINE 𝑓(𝑥) BELOW TO FIND THE FOLLOWING. A. X-INTERCEPT B. Y-INTERCEPT C. SLOPE OF THE LINE D. SOLVE FOR 𝑥 IF 𝑓 𝑥 = 5 E. WRITE THE EQUATION OF THE LINE IN SLOPE-INTERCEPT FORM F. WRITE THE EQUATION OF THE LINE IN POINT-SLOPE FORM 16. SOLVE THE SYSTEM BY GRAPHING x y 4 y 2x 1 17. SUBTRACT THE POLYNOMIALS 3x 2 5 x 3 7 x 3 x 8 2 y 2 5 y 6 5 y 3 y 4 2 18. MULTIPLY AND SIMPLIFY COMPLETELY 3x 5 3x 7 19. SIMPLIFY COMPLETELY 15w x y z 7 2 4 45w x yz 5 4 2 20. SIMPLIFY COMPLETELY 196