Equations/Inequalites and Expressions
Which expression is equivalent to (-18) - 64n ?
Answer: C. -2 (9 + 32n)
Josephs lunch at a restaurant was $13.00, without tax. He leaves the waiter a tip of 19.5% of the cost of the lunch, without tax. What is the total cost of the lunch, including tip, without tax?
Answer: C $15.54
What is the exact decimal equivalent of 7/12 ?
B. 0.583 (repeating 3)
Which expression is equivalent to x + x - 0.18x ?
Answer: D. 1.82x
An object travels along a horizontal straight path at a constant rate. The object travels 1/5 of the length of the path in 1/4 of a second. At that rate, how many seconds does it take for the object to travel the entire length of the path?
Answer: B. 1.25 seconds
From midnight to 6:00a.m., the temperature decreased by 14 degrees. If the original temperature was 14 degrees, which expression can be used to represent this situation?
A. 14 -14
The population in the United States can be represented by p. Over the past 10 years, the population in the United States has increased 13.5%. Which expression represents the increase in the population over the past 10 years?
Answer: C. p +0.135p
Last year, the New York Yankees won 88 games. This year they are projected to win 102 games. What is the percent of change in games won from last year to this year?
Answer: D. 16% increase
What value would make the equation true?
-2.8 - ________ = - 1.7
D. -1.1
Jackson has a rewards card for Dave and Busters.
He receives 18 points for becoming a rewards member
He earns 2.5 points for each game he plays
He needs at least 100 points to earn a free game card
Write and solve an inequality to determine the minimum number of games needed to be played to earn a free game card.
2.5x + 18 >_ 100
100 - 18 = 82
82 / 2.5 = 32.8
x >_33
Leah wants to save money on a new IPHONE. At the store near her, the phone she wants is listed at a selling price of $400.00.
On Saturday, the store will have a sale and discount the computer by 30%
Shoppers who arrive before 10:00am will receive an additional 10% off.
How much does Leah pay without tax, when she buys the phone that Saturday before 10:00am?
Answer: D. $252.00
Which situation results in the final value of zero?
A. the overall change in temperature when the temperature goes from -20 to 20 degrees
B. the total distance traveled when you walk 2 miles to the store and walk 2 miles back home
C. the overall change in altitude of a kite after rising 100 feet from sea level
D. the total earned when a person earns $75.50 and than spends $75.50
D. the total earned when a person earns $75.50 and than spends $75.50
Mr. Trager has $500 to spend at a bicycle store. All prices below include tax.
He buys a bicycle for $273.98.
He buys 3 bicycle reflectors for $7.23 each and 1 bicycle helmet for $42.36
He plans to spend the remaining money to buy new cycling outfits for $78.12 each.
Write and solve an equation to determine the maximum number of cycling outfits he can buy with the remaining money.
78.12x + 338.03 = 500
500 - 338.03 = 161.97
161.97 / 78.12 =2.07.......
x = 2
Mr.Leon goes out to lunch with his family on Sunday. The total bill is $152.00 before tax and tip. The sales tax is 5% and Mr.Leon is going to leave a 22% tip. Which choice represents the correct sequence for Mr.Leon to determine how much he'll pay in total?
Answer:
B. $152 x .05 = $7.6, $152 + 7.6 = $144.4
$144.4 x 0.22 = $31.77, $114.4 - $31.77 = $112.63
Kristen is setting up a beach tent during a family vacation. The tent came with 10 feet of rope. The instructions are to use 52.5 inches of the rope to tie the tarp on top of the tent. Then, the remaining rope should be cut into 6.75 inch sections to tie the tent down with stakes. Kristen will use the ropes as instructed. Write and solve an equation to determine the number of 6.75 inch sections of rope can cut from the rope.
Answer: 6.75x + 52.5 = 120
120 - 52.5 = 67.5 / 6.75 = 10 sections of rope
10 feet x 12 inches per foot = 120 inches in 10 feet