Name Class Date
Chapter 7 Test Form G
Do You Know HOW?
Simplify each expression. Use positive exponents.
1. / 2. (0.936)(0.93-8) / 3.4. (m3n-5m-1)-3 / 5. / 6.
7. If , which expression has the greatest value?
A. z-6z4 / B. (z-2z5)-2 / C. (z3)5 / D. -(z2z-4)-3Simplify each expression. Then, write the expression in radical form.
8. / 9.10. / 11.
12. A company that manufactures graphics cards for computers uses the formula
to determine the cost c, in dollars, of producing n cards. How
much will it cost to produce 1000 graphics cards?
13. A red blood cell is 7 × 10-6 m in diameter. There are about 2 × 10-13 red
blood cells in a 125-lb person. If all of the red blood cells were lined up end to
end, how long would the line be? Write your answer in scientific notation.
Evaluate each function for x = -1, 1, 2.
14. f (x) = 4 • 7x / 15.16. f (x) = 13 • (1.3)x / 17.
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Name Class Date
Chapter 7 Test (continued) Form G
Graph each function.
18. / 19. / 20. y = 1 • 0.5x21. A population of 2000 fish increases at an annual rate of 7.5%.
a. How many fish will there be in 10 years?
b. Write an expression to represent the equivalent monthly increase
in population.
23. The function y = 41 · 0.95x models the difference (in minutes) between
men’s and women’s finishing times for the Boston Marathon. The number of
years since women first officially ran the race in 1972 is represented by x.
a. Does the exponential function represent growth or decay?
b. Estimate the difference between finishing times in 1990.
c. Predict the difference between finishing times in 2015.
Do You UNDERSTAND?
25. Reasoning In the exponential decay equation y = 3(0.25)x, is there a value
of x that makes y less than zero? Explain.
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