Translations / Solutions
Simplify / Exponents & Roots
Order of Operations
Volume
Solving Equations
100

Write out an equation for the following, then solve:

Dave had $25,320 of his money tied up in real estate.  If this was 3/5 of all of his money, how much money did Dave have?

25320 = 3/5 x m

m = $42,200

100

Simplify:  32 - sqrt 49(20 + cuberoot of 27) + 23

- 11

100

Simplify:  4-2 + 2-3 - 1

(Fraction only answer.  No calculator.)

- 13/16

100

Determine the volume of a box that has a square base of 2 feet and a height of 6 feet.

V = 24 ft3

100

Solve:  3(x + 10) = -5(x - 12)

x = 15/4

200

Write out an equation for the following, then solve:

Sally knew that 2/3 of the students in her class wore the right uniforms each week.  If there were 120 students in her class, how many did not wear the right uniforms each week?

2/3 x s  = right uniforms

1/3 x 120 = wrong

40 students did not wear the right uniforms

200

Convert 3.75 mi2 to ft2

(Write out the answer in scientific notation.)

1.045 x 108 ft2

200

Evaluate:  [(3x + 4y)2 - 4] / 2    if x = -2,  y = -1

48

200

Find the volume of a right circular cylinder that has a diameter across the top of 12.5 inches and a height of 3 feet.

(Work the answer in inches.)

V = 4417.86 in3

200

Write out 5 1/6 % as a decimal number. 

No calculator!   Round to the nearest hundred thousandth.

0.05017

300

Find the ending balance in a bank account that pays 4.25% compounded yearly with an initial investment of $6200 for a 5 year period.


$7634.35

300

(2/3)-3 + (1/6)-2 - 220

No calculator!  Give your answer as a fraction or a mixed number.

307/8   or   38 3/8

300

Simplify:   -[-(-1)4] - (-3)(-2) - cube root of (-1)

- 4

300

Find the volume of a box that has a top that is made up of a rectangle that is 34 by 42 with an attached triangle that has a base of 18, a side common with the rectangle of 34 and a slant side of 38 meters.  The whole box is 1200 cm high. 

(Give the answer in terms of meters.)

V = 20808 m3

300

We tried to purchase $132 worth of new school clothes that had been on sale at a discount of 14%.  What was the original price of the clothes?

Write out an equation that will determine the answer, then give the answer.

132 = 0.86 x price

Original price = $153.49

400

A salesman is paid based on salary and commission.  He makes 2.5% on his sales and a base salary of $750 per month.

If his sales totaled $130,000 for a three month period, what was his pay for that period?

$5500

400

In a standard deck of cards, a face card is drawn.

Without replacement, what is the probability that another face card will be drawn?

11/221

400

Solve:  3x - 3 + 2(x - 1) = -8x + 5 - 6(2 - 3x)


x = 2/5

400

Find the volume of a right circular cylinder that is topped by a cube.  The cylinder has a height of 56 meters and a diameter of 42 meters.  The cube is 25 meters on a side.  

What is the total volume?


V = 93209.77 m3

400

Find the difference between simple interest and compound interest on $11,500 deposited in an account for 4 years at an annual interest rate of 6 percent.

$248.49

500

Forty-two percent of the students were participating in the school play.  The rest were staying in class.  If there were 348 students that remained in class, how many students were in the play?

Write out an equation that will determine the answer.

0.58 x students = 348

600 students - 348 = 252 participants

500

Jeans are marked up 150% at Maria's Boutique.  Today they are all on sale, 20% off the usual price.  If the sale price is $35.52, what was the original wholesale price?

***DAILY DOUBLE!!***

$29.60

500

Simplify:   {- (-3)3 - 4-1[52 - sqrt 81] + cube rt 125} / {30 + 3-2 + 2-2}

Give the answer as a fraction.  No calculator!

144/7

500

Find the volume of a right circular cylinder that is topped by a half dome (similar to a frappachino cup with a half-dome lid).  The cylinder is six inches tall with a diameter of 4 inches.  The dome top has a 2 inch radius.  We find the volume of a sphere by taking 4/3 x pi x radius cubed.

***DAILY DOUBLE!***

 V = 92.15 in3

500

The ratio of the number of Philistines to the number of Israelites was 21 to 2.  If there were 322 Philistines and Israelites present for the battle, how many were there of each?

28 Israelites and 294 Philistines