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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# MATH 1175 COURSE REVIEW #1

1. Simplify:

2. Solve for x:

3. Solve for x:

4. Combine in each example below:

5. Rationalize the denominators in each example below:

6. Solve graphically:

7. Solve using the quadratic formula: 2x2−2x−1=0

8. Find x, ∠A, and ∠B

 9. a) Why are ΔACD and ΔBCD congruent? b) Find x c) Find the area of ΔABC

10. Simplify:

12. Solve for x:

13. Simplify:

14.
a) Divide
by long division:

b) Combine:

15. Solve using the quadratic formula: x2+2x−1=0

 16. Find x, AB, BC, and AC 17. a) State the relationship of ΔABC to ΔADE b) Find x, AB, AD, BC, and DE 18. Find x, y and the area of the rectangle. Leave answers to the nearest tenth. sin 53° = .7986 cos 53° = .6018 tan 53° = 1.3270 19. a) Find the area of the square ABCD. b) Find the area and the circumference of the circle. c) Find the area of the shaded part. 20. a) Why are ΔABD and ΔCDB congruent? b) Which sides of the congruent triangles are equal? c) Find x and y. 21. a) Find x b) Find sin A, cos A, and tan A. 22. a) Find x and y (to the nearest tenth) b) Find the area of ΔABC sin 50° = .7660 cos 50° = .6428 tan 50° = 1.1918 23. a) What is the relationship which exists between Δ ABC and Δ EFG? b) Find x. 24. a) Find x (leave the answer in radical form) b) Find the area of the parallelogram ABCD. (Leave the answer in radical form) 25. a) Find x and y b) Find AB and BC 26. a) Explain why ΔDEC is similar to ΔABC. b) Find x 27. Find the area of the parallelogram ABCD to the nearest tenth, if BE ⊥ AD, ED = 8, BC = 12, ∠A = 55° sin 55° = .8192 cos 55° = .5735 tan 55° = 1.4281