Equations and Expressions
From 12:00 midnight to 6:00 am, the temperature decreased by 12oC. If the original temperature was 12oC, which expression can be used to represent this situation?
A) 12 - 12
B) 12+12
C) 12 - (-12)
D) -12 + (-12)
A) 12 - 12
A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. There is no tax on the order. The total cost of the coach's order is less that $125.00. Which inequality can be used to determine the greatest number of hats, h, the coach orders?
A) 5h + 9.95 > 125
B) 5h + 9.95 < 125
C) 9.95h + 5 > 125
D) 9.95h + 5 < 125
D) 9.95h + 5 < 125
Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a top of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including tip, without tax?
A) $2.21
B) $10.79
C) $13.17
D) $15.21
D) 15.21
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit?
A) 81.68
B) 530.93
C) 2,123.72
D) 8,494.87
B) 530.93
Which number represent the probability of an event that is very likely to occur?
A) 0.12
B) 1.3
C) 0.89
D) 0.09
C) 0.89
Which expression is equivalent to 7a - 8 - 12a +4
A) -9a
B) 31a
C) -5a - 4
D) 19a + 12
C) -5a - 4
Manny goes bowling.
- He has $25.00 to spend
- He spends $4.25 to rent shoes
- He spends $2.50 for each game he bowls
Which inequality can Manny use to determine x, the greatest number of games he can bowl?
A) 2.5 + 4.25x >= 25
B) 4.25 + 2.5x >= 25
C) 2.5 + 4.25x <= 25
D) 4.25 + 2.5x <= 25
D) 4.25 + 2.5x <= 25
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of 4 1/2 pounds of apples this week at the grocery store?
A) $4.77
B) $6.48
C) $6.75
D) $6.93
B) $6.48
The circumference of a circle is 15pi centimeters. What is the area of the circle in terms of pi ?
A) 7.5pi cm2
B) 15pi cm2
C) 156.25pi cm2
D) 225pi cm2
C) 156.25pi cm2
The ratio of boys to girls in Mr. Johnson's after-schools club is the same as the ratio of boys to girls is Ms. Greene's after-schools club. There are 4 boys and 12 girls in Mr. Johnson's club. There are 6 boys in Ms. Greene's club. How many girls are in Ms. Green's club?
A) 2
B) 12
C) 14
D) 18
D) 18
Which situation results in a final value of zero?
A) the overall change in temperature when the temperature goes from -10oF to 10oF
B) the total profit made when a person buys an item for $2.25 and then sells the item for $2.25
C) the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level
D) the total distance a person travels when he bikes 3.1 miles to school and then 3.1 miles back home
B) the total profit made when a person buys an item for $2.25 and then sells the item for $2.25
Winston needs at least 80 signatures from students in his schools before he can run for class president. He has 23 signatures already. He and two of his friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?
A) 3x + 80 >= 23
B) 3x + 80 <= 23
C) 3x + 23 >= 80
D) 3x + 23 <= 80
C) 3x +23 >= 80
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p
Which two expressions each represent the sale price of the item?
A) Expression A and Expression E
B) Expression B and Expression C
C) Expression B and Expression D
D) Expression C and Expression D
C) Expression B and Expression D
The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width. What is the perimeter of the rectangle?
A) 20 inches
B) 40 inches
C) 30 2/3 inches
D) 88 9/8 inches
B) 40 inches
A company sells artwork using a website. Information about the number of people that visited the website and the number of pieces of artwork purchased on a single day is listed below.
- 117 people did not purchase any work
- 24 people purchased one piece of artwork
- 9 people purchased more than one piece of artwork
Based on the data from that day, what is the probability that the next person to visit the website will purchase more than one piece of artwork?
A) 1/9
B) 9/9
C) 3/50
D) 3/47
C) 3/50
Which expression is equivalent to 2 (x+7) - 18x + 4/5 ?
A) 20 x + 74/5
B) 20x + 139/5
C) -16x + 74/5
D) -16x + 139/5
C) -16x + 74/5
If the expression below has a positive value, which inequality represent all possible values of x in the expression
-3x
A) x < 0
B) x > 0
C) x <= 0
D) x >= 0
A) x < 0
Bonnie deposits $70.00 into a new savings account.
- The account earns 4.5% simple interest per year
- No money is added or removed from the savings account for 3 years
What is the total amount of money in her savings account at the end of the 3 years?
A) $9.25
B) $79.45
C) $94.50
D) $164.50
B) $79.45
Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. The scale on her model is 1 inch = 47 feet. What is the actual area, in square feet, of the base of the building?
A) 141
B) 282
C) 2,209
D) 4,418
D) 4,418
Leanne collects data throughout the basketball season and uses this data to determine the probabilities of different teams playing in the league championship games. The probabilities for her four favorite teams playing in the championship game are shown below.
- Tigers: P = 2/3
- Redbirds: P = 4/5
- Bulldogs: P = 3/8
- Titans: P = 1/2
Which of these teams is least likely to play in the championship game?
A) Tigers
B) Redbirds
C) Bulldogs
D) Titans
C) Bulldogs
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents an estimate for the total output of wheat, in tons, in 2015?
A) 20 + 10 + 5
B) 20(10)(5)
C) 20 + 1.1 + 1.05
D) 20(1.1)(1.05)
D) 20(1.1)(1.05)
Josh has a rewards card for a movie theater.
- He receives 15 points for becoming a rewards card holder
- He earns 3.5 points for each visit to the movie theater
- He needs at least 55 points to earn a free movie ticket
Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?
A) 55 >= 3.5x + 15
B) 55 >= 15x + 3.5
C) 55 <= 3.5x + 15
D) 55 <= 15x +3.5
C) 55 <= 3.5x + 15
Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $400.00
- On Saturday, the store will have a sale and discount the computer by 30%.
- Shoppers who but a computer that same Saturday before 9:00 am will also receive an additional 10% off the sale price.
How much will Lea pay, without tax, when she buys the computer that Saturday before 9:00 am?
A) $148.00
B) $160.00
C) $240.00
D) $252.00
D) $252.00
The measure of one side of a square is (s+3) inches long. Which pair of expressions both represent the perimeter of this square?
A) 2s + 3 and (s + 3)(s + 3)
B) 2(s + 3) and (s + 3)(s + 3)
C) 4s + 3 and (s + 3)+(s + 3)+(s + 3)+(s + 3)
D) 4(s + 3) and (s + 3)+(s + 3)+(s + 3)+(s + 3)
D) 4(s + 3) and (s + 3)+(s + 3)+(s + 3)+(s + 3)
A computer program selects blue, red, or green as the background color each time the program is used.
- The program was used 45 times on the same computer in one week.
- Of those 45 times, a blue background appeared 12 times and a red background appeared 21 times.
Based on this information, which statement about the likelihood of the green background appearing the next time the program is used is true?
A) Green is just as likely as red or blue to appear
B) Green is just as likely as blue to appear, but not as likely as red
C) Green is not as likely as red or blue to appear
D) Green is not as likely as blue to appear, but is as likely as red
B) Green is just as likely as blue to appear, but not as likely as red