Title: Calculations and Solving Equations
Course: Question Banks

Q: Which of the following is considered a variable in an algebraic expression?
- %
- <
- 18
- b
A: b

Q: Identify the variable in the following equation: 12 - c = 8
- 8
- 12
- 4
- c
A: c

Q: Which of the following is the definitions of a mathematical variable:
- Any symbol in an equation.
- A number whose value always stays the same.
- A letter that stands for a word that begins with that same letter.
- A letter that represents a number or quantity whose value may change.
A: A letter that represents a number or quantity whose value may change.

Q: Solve for b: 36 = 4b
- 4
- 32
- 40
- 9
A: 9

Q: Solve for z: 15 = 8 + z
- 8
- 23
- 2
- 7
A: 7

Q: Solve for t: t - 9 = 11
- 2
- 21
- 9
- 20
A: 20

Q: Solve for z: 2(z + 4) = 3z - 6
- z = 2
- z = 4
- z = 9
- z = 10
A: z = 10

Q: Solve for c: 5c + 7 = 35 + c
- c = 6
- c = 28
- c = 15
- c = 7
A: c = 7

Q: Solve for k: (2 + 2k)/3 = 3k - 11
- k = 2
- k = 2/3
- k = 5.6
- k = 5
A: k = 5

Q: The sum of seven and x equals the difference between 9 and c
- x + 7 = 9 + c
- 7 + x = 9/c
- 7x = c - 9
- 7 + x = 9 - c
A: 7 + x = 9 - c

Q: Translate the following sentence into mathematical notation: The product of c and seven is less than fifty
- 7c > 50
- 7 + c < 50
- 7/c < 50
- 7c < 50
A: 7c < 50

Q: Translate from algebra to words: p - 2 = 8
- The difference of eight and p is two
- The product of p and two equals eight
- The sum of p and two is eight
- The difference of p and two equals eight
A: The difference of p and two equals eight

Q: Helena is a salesperson at an athletic wear shop. She earns $12 per hour and $3.50 for every item that she sells. Write an expression that represents the amount of money she’ll earn if she sells p items in a t hour long shift.
- 12p + 3.5(t)
- 12t - 3.5(p)
- t(12 + 3.5p)
- 3.5(p) + 12t
A: 3.5(p) + 12t

Q: The Salty Taffy Candy Shack has a special souvenir bucket that costs $11 and contains 1 lb of taffy. If you would like to fill up your bucket, you pay $6.50 more per pound of taffy. Which equation correctly models the total cost of souvenir bucket that is filled with 3 pounds of saltwater taffy?
- y = 11 +6.5(x)
- y = 11 + 6.5(x) -1
- y = 11 + 19.5(x)
- y = 11 + 6.5(x - 1)
A: y = 11 + 6.5(x - 1)

Q: Eldrin wants to try out the new workshare office space downtown. He is told that it costs $40 for a weekly pass and $3 per hour that you’re connected to WiFi. Eldrin only wants to spend $100 this week to see if he’d like to rent space there long-term. How many hours can he spend working at the office connected to WiFi?
- 13 hours
- 2.5 hours
- 33 hours
- 20 hours
A: 20 hours

Q: Nathan has been carving wooden spoons in his spare time and wants to see them at a summer arts event in his city. He wants to make a 75% profit on the spoons, which cost him $16 in labor and resources. How much should he charge for each spoon?
- $12
- $20
- $32
- $28
A: $28

Q: The Red Parachute kids boutique buys handmade baby toys from a woman name Mae. Mae sells each toy to the Red Parachute for $6.00 and The Red Parachute marks it up 40%. How much will you pay for the toy if you purchase it from The Red Parachute?
- $6.40
- $2.40
- $10
- $8.40
A: $8.40

Q: Levi stocks his Homesteader store with chicken feed that he buys for $8 a bag. If he marks up all items in his store by 65%, how much does he charge for a bag of chicken feed?
- $14.50
- $5.20
- $20.50
- $13.20
A: $13.20

Q: Keisha wants a new big screen TV. The electronics store in her city is have a huge going out of business sale and all in-stock TVs are 55% off. The TV she’s been wanting had a price tag of $900 before the sale, so how much will she pay for it during the sale?
- $845
- $425
- $550
- $405
A: $405

Q: If you bring $76 of clothes to the register, but there is a 20% off sale, how much do the clothes end up costing?
- $60.00
- $56.00
- $70.20
- $60.80
A: $60.80

Q: A grocery store is having a summer produce sales. If you buy at least $20 in peaches, nectarines, and plums you get 20% off. To make a pie for this weekend, you grabbed $14.50 in peaches. Is it worth it to buy another $6.00 in plums?
- Yes, if you buy the additional candle your total will be $12.50, which is less than the $14.00 you were going to spend.
- No, if you buy the additional candle your total will be $20.50, which is more than the $14.00 you were going to spend.
- Yes, if you buy the additional candle your total will be $13.75, which is less than the $14.00 you were going to spend.
- No, if you buy the additional candle your total will be $16.40, which is more than the $14.00 you were going to spend.
A: No, if you buy the additional candle your total will be $16.40, which is more than the $14.00 you were going to spend.

Q: Calculate the simple interest earned in the following scenario: Jane deposits $620 into an account with an interest rate of 2%. After 4 years, how much money will she have accumulated in interest?
- $12.40
- $496.00
- $124.00
- $49.60
A: $49.60

Q: How much money will you have in an account after five years if you started with $2,100 and interest is compounded at a rate of 4%?
- $11,294.30
- $8,400.00
- $2,520.00
- $2,554.97
A: $2,554.97

Q: Determine the total balance in an account after ten years if Tessa initially deposited $350 at a rate of 6% (simple interest).
- $210.00
- $2,100.00
- $2,450.00
- $560.00
A: $560.00

Q: Solve for x: b + 4x = z
- (z/4)-b
- z + 4x = b
- x = z - 4 - b
- (z-b)/4
A: (z-b)/4

Q: Solve for b: b - m = 8
- b = 8 - m
- b = m - 8
- m + b = 8
- b = 8 + m
A: b = 8 + m

Q: Solve for z: (¼)z + 2x = 5y
- z = 4(2x + 5y)
- z = (5y - 2x)/4
- 4z = 2x + 5y
- z = 4(5y - 2x)
A: z = 4(5y - 2x)

Q: What are the coordinates of point C?
- (4, 2)
- (2, 4)
- (-2, 4)
- (4, -2)
A: (4, -2)

Q: Which ordered pair is represented by point D?
- (-1, -5)
- (5, 1)
- (1, -5)
- (-5, -1)
A: (-5, -1)

Q: Which point on the graph below correctly shows the location of a point at (-6, 4)?
- E
- B
- D
- A
A: A

Q: Tyrese took a poll at the children’s library. What the is the most accurate description of the trend from the data graphed below?

” and the y-axis labeled “hours of TV/movies watched this weekend”. At 1 year old there were 0 hours of TV/movies watched, at 2 years there was 1 hour of TV/movies watched. At 3 years old there was 2.5 hours of TV/movies watched. At 4 years old there was 3 hours of TV/movies watched. At 5 years old there was 3 hours of TV/movies watched. At 6 years old there was 5 hours of TV/movies watched. At 9 years old there were 5.5 hours of TV/movies watched.)
- The hours of TV watched by children decreases as the age increases
- The hours of TV watched by children is the same for everyone of all ages
- The hours of TV watched by children varies widely, but everyone polled was the same age
- The hours of TV watched by children increases as the age increases
A: The hours of TV watched by children increases as the age increases

Q: The following graph is data showing the number of sharks caught worldwide each year. What the is the most accurate description of the trend from the data graphed below?

”. The line starts at appx. 275 in the year 1950, steadily increases to 500 in 1970 before dropping slightly and to approximately 475 and then rising again to 600 in 1975. It then fluctuates steadily along the 600 line before rising in 1980 to approximately 610 and then dropping again in 1982 below 600. It then steadily increases to just below 900 in 2000, and drops again to approximately 850. It then rises again to exactly 900 in 2002, before dropping down to approximately 750 in 2008. The overall trend is linear.)
- The number of sharks caught globally has decreased over time
- The number of sharks caught globally has stayed the same over time
- The number of sharks caught globally fluctuates wildly and no trend can be observed
- The number of sharks caught globally has increased over time
A: The number of sharks caught globally has increased over time

Q: The following graph is data showing average annual global temperatures. What the is the most accurate description of the trend from the data graphed below?
- Over the past 100 plus years the average global temperature has decreased.
- Over the past 100 plus years the average global temperature has stayed consistent.
- Over the past 100 plus years the average global temperature has varied immensely and no trend can be observed.
- Over the past 100 plus years the average global temperature has increased.
A: Over the past 100 plus years the average global temperature has increased.

Q: Find the rate of change (slope) between (2 , 8) and (1 , 7)
- -1
- 7/8
- ½
- 1
A: 1

Q: Find the rate of change (slope) between point D and point B in the graph above.
- -3/1
- 3
- 2/-1
- 1/3
A: 1/3

Q: Find the rate of change (slope) between point B and point A in the graph above.
- 3/-5
- -2
- 5/3
- -5/3
A: -5/3

Q: While calculating shipping and expenses for imported goods, you realize that it may be less expensive to switch to a new shipping agency. Based on the data you gathered below, is it more cost efficient to switch to another agency?
- No, stay with the current carrier
- Doesn’t matter, one is higher cost for some shipments and one is higher cost for other shipping options
- Doesn’t matter, they will both cost you the same amount no matter what you ship
- Yes, switch to Agency B
A: Yes, switch to Agency B

Q: The owner of Howdy’s Market, Barney, is trying to decide whether to remodel the produce or deli sections to draw in more buyers to one of the departments. Which department should Barney renovate to increase the customer traffic?
- The produce section, Howdy’s already gets more customer traffic in the deli
- Neither, the graph shows it would be a loss of money to renovate either department
- The deli, the graph shows that the produce section pulls in way more money for Howdy’s.
- The deli, Howdy’s already gets more customer traffic in the produce department
A: The deli, Howdy’s already gets more customer traffic in the produce department

Q: Marshall was unsure about which graph type to use on his office supply store advertisement. He wants to appeal to the most people possible to bring in more customers. He conducted a survey and his results are below. Based on the data, which graph format should Marshall display on his advertisement?
- Scatterplot
- Line Graph
- Bar Graph
- Pie Chart
A: Pie Chart