math basic algebra work sheets 12 work sheets

Math 090 Wk 1 Thursday Individual Sheet

1. When a formula is solved for a particular variable, several different equivalent forms may be possible. If we

solve A = 1

2 bh for h, one possible correct answer is h =

2A

b .

Which of the following are NOT equivalent to this?

A. h = 2

( A

b

) B. h = 2A

( 1

b

) C. h =

A 1 2 b

D. h = 1 2 A

b

2. F = 9

5 C + 32 is an equation used to convert temperature in Celsius to Fahrenheit.

a. Use this to convert 30◦C into Fahrenheit.

b. Solve F = 9

5 C + 32 for C.

c. Use your equation from part (b.) to convert 68◦F into Celsius.

3. Solve the following for the indicated variable.

A = 1

2 h(b + B) for b V =

1

3 πr2h for h −5x + 3y = 12 for y

4. An average middle-income family will spend $241,080 to raise a child born in 2013 from birth through age 17. Below shows percents spent for various categories. Use it to answer the following questions.

a. To the nearest dollar, how much will be spent to provide housing for the child?

b. To the nearest dollar, how much will be spent for child care and education?

c. Use your answer from part (b.) to find how much will be spent on clothing.

d. If the true cost for raising a child as described for a particular family is $252,000, what percent increase is this over the average?

e. If this average, $241,080, is a 12% increase from the average for a child born in 2005, What was the average cost to raise a child born in 2005?