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The Algebra Buster


May 19th









May 19th

Pre-Algebra Exam

Questions

Use the addition and subtraction rules for exponents to simplify each expression . Make sure that no negative exponents are left.

Use the rules for exponents to change the given expression. Make sure that no negative
exponents are left.

Perform the indicated divisions and leave your answers without negative exponents.

Substitute the values of the variables into the ex pression and simplify the resulting ex-
pression to a single number .
As sume the fol lowing values of the variables: x = -2, y = 5, z = -6.

Solve by substituting the appropriate values into the formula ; then simplify the result to
a single number.

18. The volume V of the frustum1 of a right circular cone with base radii2 a and b and height h is given by the formula

Find the volume where the height is 12 and base radii are 4 and 9. Do not use a decimal approximation
for π. In other words, write your nal answer as a multiple of π.

Solve:

Solve the proportions using cross multiplication

Solve the word problems

24. On a map of Utah 1/2 inch represents 31.5 miles. If two cities are inches apart, what is the actual distance between them?

25. Mary Lois sells a house for $175,000 and receives a commission of $12,250. At the same commission rate, how much commission would Mary Lois receive for selling a house at $125,000?


1Frustum.- The part near the base formed by bisecting (cutting) the cone with a plane, parallel to the base.
2Radii.- Plural of radius.

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