Number Systems
Ratios
Algebra
Probability/Stats
100
A student spent $18 for a haircut this week. Which event, when combined with the student spending $18, will result in the student having $0 remaining?
A The student earned $18 for cleaning out his neighbor’s garage.
B The student paid his little brother $18 for doing his chores.
C The student purchased a gift for his mom for $18.
D The student gave $18 to a friend.
A The student earned $18 for cleaning out his neighbor’s garage.
100
The graph represents the amount of water, in gallons, y, that flows through a garden hose in x minutes.
Which statement correctly describes the meaning of the point shown on this graph?
A Every 6 minutes, 72 gallons of water flow through the hose.
B Every 72 minutes, 6 gallons of water flow through the hose.
C Every 6 minutes, 12 gallons of water flow through the hose.
D Every 12 minutes, 6 gallons of water flow through the hose.
A Every 6 minutes, 72 gallons of water flow through the hose.
100
Create an expression that has the same value as
(6x-4)+(x+5)
7x + 1
100
A teacher has an equal number of pink, blue, green, yellow, and purple erasers in a box. She will randomly distribute 1 eraser from the box to each student. What is the probability that the first eraser that will be distributed is a color other than yellow?
D 4/5
200
A person paid a total of $38.50, before tax, for flowers and dirt at a store. The price of the flowers was $4.50 per container. The price of the dirt was $7.00 per bag. If the customer bought one bag of dirt, how many containers of flowers did the customer buy?
A 5
B 7
C 9
D 10
B 7
200
B 2
200
Jasmine has opened a bank account with an initial deposit of $200. She has also received a debit card to use for her account. Each week she is able to save $10 to deposit in the account. Her account balance (the amount of money in the account) is her initial deposit of $200 plus any deposits she makes minus any purchases she makes using her debit card.
Three weeks after Jasmine opened her account, she had made two purchases. She bought a pair of shoes that cost $15.75, and she purchased some music online for a cost of $5.50. Which of the following expressions would correctly represent the amount of money in her account after three weeks?
A $200 + $15.75 + $5.50
B $200 + (-$15.75) + (-$5.50)
C $200 + $15.75 + $5.50 + 3($10)
D $200 + (-$15.75) + (-$5.50) +3($10)
D $200 + (-$15.75) + (-$5.50) +3($10)
200
The following table shows all the possible outcomes that could result from flipping a coin and then rolling a six-sided die:
What is the theoretical probability of flipping a heads and then rolling an even number?
A 1/2
B 1/4
C 5/12
D 2/3
B 1/4
300
In which of the following scenarios would opposite quantities combine to make zero?
A A train travels 3 miles east for 13 of an hour.
B Fred works for 30 minutes a day for 7 days a week.
C Kevin earns $24 working for his neighbor and receives a gift of $10 for his birthday, but owes his parents $15 and a friend $18.
D An elevator goes up 3 floors, down 2 floors, up 3 floors, and then down 4 floors.
D An elevator goes up 3 floors, down 2 floors, up 3 floors, and then down 4 floors.
300
B. b=3a
300
Samantha has found a great deal on an acoustic guitar, but she doesn’t have enough money saved up to buy it. She convinces her parents to loan her $150 so that she can buy it. At the end of each week that Samantha has not paid back the loan, she has to add $3 to how much she owes her parents. If she is able to save up enough money to pay her parents back $20 each week, which of the following expressions correctly represents how much she will still owe her parents after t weeks?
A 150 + 23t
B 153 – 20t
C 150 + 20t – 3t
D 150 – 17t
E 130 – 3t
C 150 + 20t – 3t
300
A reporter from the school paper asks a random sample of students about their favorite school food. The results are shown in the table. There are 441 students in total at the school.
Based on the sample, approximately how many students in the entire school population prefer spaghetti as their favorite school food?
A 12
B 63
C 84
D105
C 84
400
Which of the following scenarios includes a number and its additive inverse?
A Jan sells her MP3 player to her friend for the same amount that she owes her friend
B Pat buys 100 golf balls for $10
C A circle’s diameter is twice its radius
D York plays 3 tennis matches in one-third of a year
A Jan sells her MP3 player to her friend for the same amount that she owes her friend
400
In 1 year, the water level of a lake changes by -3/8 inch.
If the water level of the lake continues to change at this rate for 7 years, how many inches will the water level of the lake have changed?
-21/8 or -2 5/8
400
D
400
There are five siblings in Jennifer’s family. The variability (range) of their ages is double the mean of their ages. Which of the following sets of ages would fit this information?
B
500
Which of the following expressions would be most helpful in multiplying the following without a calculator? 8(123)
A (4 + 2 + 2)(100 +10 +10 +1+1+1)
B (4)(2)(120 + 3)
C (8)(100) + (8)(20) + (8)(3)
D (4 + 4)(123)
C (8)(100) + (8)(20) + (8)(3)
500
The rational number 35 would be an appropriate number to use in considering which of the following scenarios:
A There are 50 test questions on an exam. A student wants to know how many he might miss and still miss no more than 30% of the questions.
B Mike travelled 50 miles in 30 minutes and wants to calculate his speed in MPH.
C Out of 65 students, only 39 of them completed their homework. The teacher wishes to express that as a simplified ratio.
D Three friends want to buy a $5 toy together and need to know how much each of them needs to pay.
C Out of 65 students, only 39 of them completed their homework. The teacher wishes to express that as a simplified ratio.
500
Combine like terms
5/6x - 1
500
The difference between the mean ages is (3, 8.9, 11.9) which is about (0.5, 2) times the mean absolute deviation
3 and 2x the mean absolute deviation