Spiral Review #5
Name:_____________________
This is due next class, will be graded for correctness, and is a homework grade. You MUST show work
to receive full credit. Draw a picture, show an example, write something . . . let me know what you are
thinking. If you do the work in your head or on a calculator, EXPLAIN what you did.
Write the expression as a complex number in standard form
1. 5  2i  6  5i
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3.
1 2i
3  8i
2. 3i7  i
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4.
3  2i  2i
1 7i  2  3i
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Solve the equation by completing the square.
5. x 2  6x  10
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6. x 2  9x  2  0
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8. 3z 2  3z  9  0
2
7. 2c 12c  6  0
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2
9. 3x  x  2x  6
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2
2
10. 7a  10a  2a  155
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11. The diagonal of the screen on a laptop computer measures 15 inches. The ratio of the screen’s
width w to its height h is 4:3.
a. Write an expression for w in terms of h.
b. Use the Pythagorean theorem and the result from part (a) to write an equation that you can
use to find h.
12. You are creating a metal border of uniform width for a wall mirror that is 20 inches by 24 inches.
You have 416 square inches of metal to use. Write and solve an equation to find the border’s
width.
13. You are designing notepaper with a solid stripe along the paper’s top and left sides as shown. The
stripes will take up one third of the area of the paper. The paper measures 5 inches by 8 inches.
What will the width x of the stripes be?