Equations/Expressions
Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of total rounds she golfs is $26.25. Which equation can be used to determine the number of rounds,x, that Clara golfs?
A. 6.25x+7.50=26.25
B. 6.25x-7.50=26.25
C. 7.50x+6.25=26.25
D. 7.50x-6.25=26.25
A. 6.25x+7.50=26.25
On average, Shawnte drinks 1/2 of a 6-ounce glass of water in 2/3 hour. How much water does she drink in an hour?
A. .75 ounce
B. 2 ounces
C. 4.5 ounces
D. 9 ounces
C. 4.5 ounces
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below. 100 small paper clips
250 medium paper clips
150 large paper clips
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small or medium?
A. 1/3. B. 2/3. C. 3/7. D. 7/10
D. 7/10
Joesph's lunch at a restaurant costs $13.00, 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
Manny goes bowling.
He has $200 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
An equation is shown below.
2(x-9)=9/(-1/3)
What value of x makes the equation true?
A. -9.0
B. -4.5
C. 3.0
D. 7.5
B. -4.5
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 the 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
Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below.
A white marble was selected 41 times.
A yellow marble was selected 24 times.
Based on these results, what is the probability that the next marble Kerry selects, rounded to the nearest percent, will be white?
A 41% B 50% C 59% D 63%
D 63%
A middle school principal wants to change the lunch menu at the school. The principal surveys the students to determine how the students would feel about the changes. Which survey method will produce the best representative sample?
A. survey every fifth student who rides in a car to school.
B. survey 3 randomly selected students from every homeroom.
C. survey every tenth seventh-grade student during lunch
D. survey 5 randomly selected students from every art, drama, and music class.
B. survey 3 randomly selected students from every homeroom.
Jim needs to rent a car. A rental company charges $21 per day to rent a car and $.10 for every mile driven.
He will travel 250 miles
He has $115 to spend
Write an inequality that can be used to determine d, the maximum number of days that Jim can rent a car.
.10(250)+21d≤115
Which expression is equivalent to 7a-8-12a+4 ?
A. -9a
B. 31a
C. -5a-4
D. 19a+12
C. -5a-4
The ratio of boys to girls in Mr. Johnson’s after-school club is the same as the ratio of boys to girls in Ms. Greene’s after-school 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. Greene’s club?
A. 2 B. 12 C. 14 D. 18
D. 18
Mario sells men’s and women’s shoes in his shoe store. He is considering selling children’s shoes. He randomly selected 120 customers to participate in a survey. The survey results are shown below.
42 customers said they would shop for children’s shoes
78 customers said they would not shop for children’s shoes
Mario has an average of 440 customers per month. Based on the survey results, which value is the best estimate of the number of customers that would shop for children’s shoes during an average month?
A 120 B 154 C 220 D 286
B 154
Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below.
A white marble was selected 41 times.
A yellow marble was selected 24 times.
Based on these results, what is the probability that the next marble Kerry selects, rounded to the nearest percent, will be white?
A 41% B 50% C 59% D 63%
D 63%
Mr. Trager has $500.00 to spend at the bicycle store. All prices listed below include tax.
He buys a new bicycle for $273.98
He buys 3 bicycle reflectors for $7.23 each and 1 bicycle helmet for $42.36
He plans to use the remaining money to buy new cycling outfits for $78.12 each.
What is the greatest number of cycling outfits Mr.Trager can buy with the remaining money?
2 outfits
Which expression is equivalent to (-18)-64n
A. -2(9-32n)
B. 2(9-32n)
C. -2(9+32n)
D. 2(9+32n)
C. -2(9+32n)
In the morning, a farm worker packed 3 pints of strawberries every 4 minutes. In the 12 afternoon, she packed 2 pints of strawberries every 3 minutes. What was the difference between her morning and afternoon packing rates, in pints per hour?
A. 5
B. 10
C. 40
D. 45
A. 5
A seventh grade English Language Arts teacher wants to order books for all the 37 seventh grade classes. He wants to determine the favorite type of book among the seventh grade students. Which sample would be the most appropriate for this survey?
A. 7 girls in each of his classes
B. every fifth student in the seventh grade
C. 1 out of 7 students in his middle school
D. all of the boys in one of his seventh grade classes
B. every fifth student in the seventh grade
A furniture store has a sale during which the sale price of a sofa is 1/3 off its original price. The original price of the sofa is $1029.00. A customer can get an additional discount off the sale price for paying with cash. At checkout, a 6.5% sales tax on the final price is added to the cost of the sofa. What is the total cost of the sofa, including sales tax, for a customer paying with cash?
A. $343
B. $651.70
C. $686
D. $694.06
D. $694.06
Winston needs at least 80 signatures from students in his school before he can run for 11 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
A triangle has side lengths of (5.5x + 6.2y) centimeters, (4.3x + 8.3z) centimeters, and 40 (1.6z - 5.1y) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
A. 11.4xz + 9.4yz
B. 11.7xy + 12.6xz -3.5yz
C. 9.8x + 1.1y + 9.9z
D. 9.8x + 7.8y + 3.5z
C. 9.8x + 1.1y + 9.9z
A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?
A. 16/243
B. 4/3
C 12
D 13
C 12
At the store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in a survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
126 customers
An item with an original price of p dollars is on sale at a 25% discount. Which expression is not equivalent to the price of the item with the discount?
A (1.0p - 0.25p)
B (1.0 - 0.25)p
C. 0.75p
D 0.25p
D 0.25p
If the expression below has a positive value, which inequality represents all possible 16 values of x in the expression?
-3x
A. x < 0
B. x > 0
C. x ≤ 0
D. x ≥ 0
A. x < 0