MAE 4310 Comp Study Set

Greg outs $2,000 into his saving account. The account is yielding 5% annually. If he does not withdraw or deposit any money, how much money to the nearest dollar will be in the account at the end of 3 years? a. $2,015 b. 2,100 c. $2,300 d. $2, 315

$2,315

Alyssa makes costume bracelets and sells them at the flea market. It cost her $0.30 per bracelet for beads and $1.50 per bracelet chain. Alyssa also pays the flea market 460.00 for her booth rental. If she sells 200 bracelets at $4.00 each, what is her profit? a. $440 b. $350 c. $380 d. $240

$380

Sara buys 6 apples at $0.50 each, 4 rolls of paper towels at $1.50 each and two sandwiches at $3.50 each. She gives the cashier $20.00 at the checkout. What change must the cashier give back to Sara? a. $4.00 b. $4.50 c. $5.00 d. $5.50

$4

John pays 32% of his salary in taxes. Last year he paid $15,360 in taxes. What was his salary?

$48,000

Elaine and Cheryl have lunch at a restaurant. Their bill comes to $28.37. They want to leave a tip of at least 15%. To the nearest dollar, how much should they leave?

$5

Jackie receives a base salary of $90 weekly plus 12% commission on all sale. Jackie had $4,000 in sales this week. How much did Jackie make total?

$570 $4,000*.12%=$480 +$90=$570

The coordinates of a line on a graph are (4, 8). If this is running horizontally, what is another possible set of coordinates that would be on the line?

(-4, -8)

320,000 equals (3*10^4)+ (2*10^4) (3*10^5)+(2*10^5) (3*10^5)+ (2*10^4) (3*10^4)+(2*10^3)

(3*10^5)+ (2*10^4)

Which of the following would be the most helpful to an early elementary student solving the problem 52-17? a. (50-10) + (2-7) b. (40-10) + (12-7) c. (30-10)+(22-7) d. (20-10)+32-7)

(40-10)+(12-7)

The coordinates of a line on a graph are (6, 7). If this is running vertically, what is another possible set of coordinates that would be on the line?

(6, -7)

It is 5 below zero in Boston, Massachusetts at 5am. 3 hours later the temperature dropped 3 more degrees. By noon it dropped 5 more degrees. What is the temperature at noon?

-13

It is 5 below zero in Boston, MA at 8am. By noon, the temperature dropped another 3 degrees. By 6pm the temperature dropped another 7 degrees. What is the temperature at 6pm?

-15

What does 4^2-8*3+8 equal? a. 0 b. 32 c.8 d. 43

0

In the 17.82643, what number is in the tens spot? a.8 b.2 c.1 d. 7

1

Solve 2/3 (/) 5/8

1 1/15

Which set of numbers would be most helpful for students studying place value? a. 2, 4, 6, 8 b. 10, 20, 30, 40 c. 100, 200, 300, 400 d, 1, 10 100, 1000

1, 10, 100, 1000 place value has to do with ones, tens, hundreds, and thousands.

Put the following numbers in order? 1/2, 2/1, 3/4, 4/3, 40/30, 400/300

1/2<3/4<4/3=400/300=40/30<2/1

Four Students are working on completing a book together for their english class. Julie has completed 1/6 of the book. Sara has completed 1/3 of the book. Abigail has completed 1/4 of the book. How much of the book is there left for Cindy to complete so the book is finished.

1/4

Four students are working on completing a project together for their science class. Donna has completed 1/6 pf the project. Greg has completed 1/4 of the project and Elaine has completed 1/3 of the project. How much of the project is left for Tracy to finish?

1/4

Five candidates-Mr. Adams (A), Mrs. Bell (B), Dr. Collins (C), Ms. De Vito (D) and Mrs. Harper (E)-are running for mayor of their city. The bar graph shows the results of a poll conducted prior to the election. All numbers are given in thousands to the nearest 1,000. If the poll is accurate, what is the probability that Dr. Collins will win the election?

1/5

Larry can type a 20 page document in 40 minutes. Tammy can type it in 30 minutes, and Jacob in 24 minutes. working together, how much time will it take them to type the same document?

10 minutes

Jill purchases a pair of jeans that cost $35. When the tax is added to it, she pays a total of $38.50. What is the sales tax percentage?

10%

What was the approximate percentage of increase in the size of the graduating class at East high school from 2000 to 2010?

10%

Kim designs websites. She charges a base fee of $100 plus $35 for every hour, h, she works. Which of the following expressions represents her fees? a. 35h-100 b. 35(h+100) c. 100+35h d. 100h+35

100+35h

How many cartons are needed to ship 72 notebook computers if no more than 7 computers can be packed in a carton? a. 9 b. 11 c. 12. d. 8

11

Four more than one-third of a number is four less than the number. What is the number? a. 4 b. 8 c. 12 d. 2

12

Textbooks weigh 2 1/2 Ibs., notebooks weigh 4 oz. What is the total weight of 5 textbooks and 5 notebooks?

13 3/4 lbs.

Which of the following is the sum of the prime factors of 140? a. 12 b. 14 c. 16 d. 24

14

x+13=27 What does x equal? a. 14 b. 0 c. 6 d. 13

14

A flagpole casts a shadow of 2 feet long. A sign 8 feet tall casts a shadow that is 12 feet long. How tall of the flagpole.

16 feet

Simplify the equation: (2x)^4

16x^4

The teacher puts 30 popsicles in the freezer. There are 7 blue pops and 13 red pops. She goes to get the popsicles for her class at recess time and finds that two pops are missing. What is the probability that one of the missing pops is blue?

17/30

What is 1/3 + 4/9 / 7/9?

19/21

Which of the following is considered a prime number? a. -4 b. 2 c. 4 d. 10

2

It takes 3/4 of a cup of sugar to make 2 dozen cookies. How much sugar is needed to make 6 dozen cookies?

2 1/4

A recipe that calls for six eggs serves four people. If you want to make enough for sixteen people, how many dozen eggs will you need?

2 dozen

What is the ratio of the area of the square of the triangle in the above illustration?

2 to 1

A scout troop is collecting returnable bottles to raise money for trip. If they receive 5 cents for each bottle, how many bottles will they have to collect to raise $100? a. 200 b. 2,000 c. 500 d. 1,000

2,000

What are the prime factors of 240?

2,3, 5

The Kale family is driving to North Carolina for a family reunion. On the first day they travel 210 miles in 3 hours. On the second day, they drive 500 miles in 10 hours. What is the difference in the speed between the two days? 1. 10mph 2. 20 mph 3. 30 mph 4. 40 mph

20 mph Day 1: 210/3=70 mph Day 2: 500/10=50 mph difference: 70-50=20mph

A farmer sells bushels of oranges for $20.00 per bushel plus a one-time fee $2.00 surcharge to each customer for the bushel containers. If t=total money paid by one customer, and b=the number bushels sold to that customer, what equation in terms of t and b would apply? 20b + 2.00=t 2b+20=t 20+t=b 20b+t=2

20b+2.00=t

What is the median of this list of numbers? 10,20,40, 30

25

The cafeteria sells popcorn for $2.00 (a) bag, and peanuts for $2.50 a bag. How much will a student pay for a bags of popcorn and (b) bags of peanuts?

2a+2.5b

Simplify 4(x+3)-2(x+6)

2x 4x+12-2x-12= 4x-2x= 2x

How many 8 oz bags of colored sand can you make from 1.5 lbs. bag of sand?

3

How many of these numbers have 3 in eithers the hundredths place or the thousandths place?

3 (the second number to the right of the decimal is "hundredths" third is the "thousandths"

Melissa and Laina visited Chicago for 7 days. On the first day, the temperature was 6 degrees. One the second day, the temperature was 10 degrees. The last two days of the trip, the temperature was -2 degrees. If on the other days, the average temperature was 3 degrees, what was the average temperature of the trip?

3 degrees

Round to the nearest tenth: 3,235.145 a, 3,235 b. 3,235.1 c. 3,235.14 d. 3,235. 15

3,235.1 ***The tenths place is the first place RIGHT of the decimal.

What is 32% of 11?

3.52

A football team won 6 games and lost 8. What is the ratio of wins to the number of games?

3/7

60 is 20% of what number?

300

Tony has 32 long-sleeved and short-sleeved shirts in his closet. 21 of his shirts are long-sleeved. What percent of his shirts are short sleeved? 32 (total)- 21 (long)= 11 (short) 11/32=34%

34%

Find the next number in the pattern 7, 14, 21, 28....

35

Evaluate 20-3^2+10/2x5

36

If Lindsay walked 2 miles less than three miles the number, m, that Michele walked, which expression represents the number of miles Lindsay walked?

3m-2

What percentage of owner-occupied housing units are occupied by three persons or more?

41.3%

Solve the equation 15/x+1)=3

4=x

How many 8 oz bags of colored sand can you make from 2.5 lb bags of sand?

5

Landon is clearing his 7.5 acre plot of land. He rents a truck that can clear 1.5 acres in 60 minutes. How long will it take him to clear the entire 7.5 acre plot of land?

5 hours

Which of the following expressions matches the statement -3 less than 5 times a number?

5n-3

A recipe for punch calls for 2 cups of apple juice. The recipe serves 4 people. If you want to make enough punch for 12 people, how much apple juice will you need?

6 cups

What was the approximate percentage of increase in cases of tuberculosis from 2008 to 2009?

6%

Which of the following demonstrates an arithmetic number sequence?

6, 12, 18, 24, 30

A prescription medicine bottle holds 15 grams of medicine. How many individual 250 mg pills are in the bottle?

60

A lawnmower originally cost $350 and is put on clearance for $140. What is the percentage of discount? a. 37% b. 40% c. 66% d. 60%

60%

A naturalist in Galapagos Islands is evaluating the population of seal on the islands. Initially she catches 200 seals and tags all of them. A month later she finds 80 seals and 25 of them are tagged. From this information, she can estimate the population on the islands as:

640

Based on the data in the chart, approximately what percentage of the total tourism market in the US is NOT confirmed to these five states?

65%

Students in the class received the following scores on a quiz worth 10 points. 7, 5, 5, 6, 7, 10, 9, 9, 9, 8, 8, 8, 8, 4, 2 What is the MEAN SCORE for the following class data set?

7

Students in the class received the following scores on a quiz worth 10 points. 7, 5, 5, 6, 7, 10, 9, 9, 6, 8, 8, 8, 8, 4, 2 What is the mode score for the following class data set?

8

What is the greatest common factor of 32 and 24?

8

A flagpole casts a shadow that is 12 feet long. A mailbox that is 4 feet tall casts a shadow that is 6 feet long. How tall is the flagpole?

8 feet

A train sirens sounds every 2 hours, a second siren sounds every 3 hours, and a third siren sounds every 4 hours. If all 3 sirens sound at 9:00 am, at what time will all 3 sirens sound next?

9pm

Four friends (Noah, Brandon, Sam and John) are comparing distances from their houses to school. From school, Noah's house is 2 3/4 mile; Brandon's house is 2 5/8 miles away from school; Sam's house is 2 1/4 miles away; and John's house is 2 1/3. Order the students from longest to shortest distance from school.

Brandon, Noah, John, Sam

Which of the following is not a basic type of number property?

Corrective Property

What term is used to describe the percent that the item's price is reduced?

Discount Rate

Time is a very difficult concept for many children. What could the clocks most likely be used to teach?

Elapsed Time

You are teaching your students to reduce fractions. What would they need to know in order to do this?

Factoring

In which category on the table is the different in median income between men and women the greatest?

Graduate or professional degree

Mr. Nagle wants his sixth grade students to make the connection between decimals and fractions. He gives them the following problems.

Inductive reasoning.

Jake is 2 years older than 3 times Sara's age. Together their ages add up to 18. How old is each person? a. Jake 9, Sara 9 b. Jake 16, Sara 2 c. Jake 11, Sara 7 d. Jake 14, Sara 4

Jake 14, Sara 4

Kelly, Ryan, Julie, and Trey are all comparing distances from their houses to school. From school, Kelly's house is 1 3/5 miles away; Ryan's house is 1 3/8 miles away; Julie's house is 1 1/4 miles away; and Trey's house is 2 3/10. Order the students from the longest to the shortest distance.

Kelly, Ryan, Trey, Julie

Which of the following word problems contains keywords for multiplication?

Lana brought five yards of cloth at $7 per yard. How much did lana spend?

Which category of expenditures increased the most from 2009-2010-2011? a. utilities b. maintenance c. equipment and furniture d. textbooks

Maintenance

Multiplying any number by 1 leaves the number unchanged is stated in what property law? a. additional properties of one b. multiplication property of one c. Specialty property guidelines of one d. Multiplication property of absolute value

Multiplication property of one

Mr. Roan asks his class to write a word problem. Which of the following would demonstrate the property of reciprocals?

My mother bought a pizza. The pizza has six piece. We have six people in our family. If each person gets one slices of pizza, what fraction of the pizza will each person get?

What is the UTC offset of the Eastern Standard Time?

UTC -5 UTC -6 central UTC -7 mountain UTC -8 Pacific

If x=5y and y is a negative number, x must be? a. negative number b. an even number c. an integer d. a prime number

a negative number

A car is traveling at 60 miles per hour. How many miles does the car travel in 5 minutes? a. 5 b. 6 c. 12 d. 36

a. 5 d=rt

A student is solving the following problem. 4(x+3) -5 (x+3)/3=0 At what step did the student make their initial mistake? a.Step 1: 4x+12-5x-15/3=0 b. step 2: -1x-3/3=0 c. step 3: -1x-1=0 d. step 4: x=-1

b. -1x-3/3=0

Solve for the positive value of x: 4x^2+7=43 a. 4 b. 3 c. 2 d. 9

b. 3

Mr. Amir shows his students this array. He asks them to use it to solve a problem. Which operation would be illustrated by this array? us this array to solve the problem: #### #### #### _____ row of _____ a. subtraction b. Division c. Multiplication d. Expanded notation

c. Multiplication A array is a model for multiplication. This would show 3*4=12

How many solutions does the equation x^4=16 hae in the set of real numbers? A.0 B. 1 C. 2 D. 4

c.2 x=2 or x=-2

A complex numbers set is denoted by what? a. R b. C c. N d. Q

c=complex

A car is 50 lbs less than a truck. Which of the following represents the weight of the car (c) in terms of the truck (t)?

c=t-50

A teacher is rolling a die on a desk and asking her students to say the number on the die by simply looking at it. When a student does this they are:

subitizing Subitizing is knowing the number by looking at a representation of the number. Rolling a die and having students quickly identify numbers on the die is a subitizing strategy.

Solve the following: (x-7)/6 - (2x+4)/2= -4

x=1

What is the value of 6x+23=35

x=2

The Brown family headed to FAU for a football game. They wanted to figure out how long the trip would take. They will travel at an average rate of 75 mph. They have to travel 650 miles. What equation is best to help them determine how many hours it will take to reach FAU?

x=650/75

If 4x+y=22 and x+4=22, which of the following is true? a. x=y b. x=y=4 c. y>x d. 5*(x+y)=22

x=y

Solve for x: 5x+3>4x-6

x>-9