Math

You may use your calculator in question 1. You must use your calculator in question 2, but you should not use it in the other questions. 1. Use prime factors to reduce the fraction calculator to find the prime factors. 2. Two deposits of 1000 $ were made in different banks five years ago. The combined

0.05  0.06    accumulated value today is A = 1000  1 +  + 1000  1 +  dollars. 12  4    Use your calculator to determine the value of A . Round off to the penny. Just write the answer without writing down any intermediate values. Use the "memory" feature of your calculator. 3. Evaluate the algebraic expression

a fraction. 4. Combine into one ratio: denominator. 5. Combine into one ratio: denominator. 6. Combine into one ratio: 2 + x − denominator. 7. Simplify 3 y ( 4 x + y ) − 2 x [ 4 x + 3 ( 2 y − x ) ]. Remove grouping symbols and combine like terms. 8. Test the numbers x = − equation 1 3 and 2− x 5x . Show the conversions to the common 8 15 ab 8 15 2x 3

60 20

1430 3315

. Show the cancellations. You may use your

−

3 2x

+4

at

x = − 5 . Give your answer as

−

6 35

−

4 21

.

Show the conversions to the common

−

6b 35 a

−

4 ab 21

.

Show the conversions to the common

x=−

2 3

to see if either number is a solution of the

3x

2

+ 8x + 4 = 0 .

3( x

Work with the fractions. Do not use your calculator.

9. Solve for

x in the equation

+ 2) + 2 = 10 .

Justify the steps. Do not use your

calculator. 10. Solve for B (in terms of A and C) in the equation 10AB

+ C = 10 .

Justify the steps.

Review Exercises 1

CMSC-000

Fall 2011

The objective of exercises 11 – 20 is to carefully apply the four properties of equality (page 107). Don't take very many short-cuts. Show all of the important steps. Justify each step. This means to write some words such as "simplify each side", "subtract 4 from each side", "multiply each side by 12 ", etc. You my leave out the words "each...