Expression
Which expressions are equivalent to 4x? Select all that apply.
A. 3x+x
B. 2x+2
C. 4+x
D. 8x-4
E. x+x+x+x
A. 3x+x
E. x+x+x+x
Julia's math scores are 45,75,80,85,90,90,90,95
What is the mean of Julia's math score?
81.25
Jess is having a private party at the bowling alley. The party costs $99 plus $3 per person who attends. Which expression can Jess use to figure out the total amount of dollars she owes at the end of the party?
A. 33x
B.33+x
C. 99+3x
D.99x+3
C. 99+3x
Tokens to play games at a festival are sold at different rates depending on the number purchased. Which option provides the most tokens for the least amount of money per token?
A $5.00 for 50 tokens because the ratio is $1 to 10 tokens
B $7.50 for 150 tokens because the ratio is $1 to 20 tokens
C $10.50 for 175 tokens because the ratio is $3 to 50 tokens
D $14.00 for 200 tokens because the ratio is $7 for 100 tokens
B $7.50 for 150 tokens because the ratio is $1 to 20 tokens
Consider the following rule posted on a sign at a playground: “ Children must be no taller than 48 inches to play in this area. ” If h represents height, which inequality correctly represents the height rule on the sign?
A.h>48
B.h<48
C.h>=48
D. h<=48
D. h<=48
Which expression is equivalent to 2(2x+1)+3x+3?
A. 4x+3
B. 4x+5
C. 7x+4
D. 7x+5
D. 7x+5
Logan has $63 and would like to purchase as many packs of baseball cards as possible to add to her collection. An advertisement in the newspaper shows that each pack of cards costs $1.75. At this price, how many packs of cards can Logan buy?
36
Mr. Roy is scheduled to work less than 18 hours this week. He has already worked 7 hours. If x is the remaining number of hours Mr. Roy could work this week, which inequalities represent the number of remaining hours Mr. Roy could be scheduled to work this week? Select all that apply
A.x+7>18
B.x+7<18
C.x+18>7
D.x>11
E.x<11
B.x+7<18
E.x<11
Which situations result in quantities that combine to make 0? Select all that apply.
A. Lane was given $5 as a gift and made a $15 purchase.
B. The temperature rose 40 degrees by noon. By 10 p.m., the temperature had dropped 40 degrees.
C. Janie credited her customer’s account with $67 and debited the account for $67 three days later.
D. Loren withdrew $25 from her bank account on Monday and she withdrew an additional $25 from her bank account on Tuesday. E The veterinarian discovered a dog had lost 2 pounds since his last visit. A month later, the same dog had lost 2 more pounds.
B. The temperature rose 40 degrees by noon. By 10 p.m., the temperature had dropped 40 degrees.
C. Janie credited her customer’s account with $67 and debited the account for $67 three days later.
Nicole is planning for a party. She is planning for each person to consume 2 1/4 cups of lemonade. How many ounces of lemonade does she need to buy for 8 people?
144
What is the value of the expression shown?
(1/3)^3
A. 1/27
B. 1/9
C. 1/6
D. 1
A. 1/27
Sammi is trying to wrap a gift for her brother. The gift fits into a cube-shaped box with a side length of 9 inches. How many square inches of wrapping paper does she need to cover the box without the paper overlapping? Use the formula A=6s^2 so that equals the side length and equals the surface area.
A 108 square inches
B 486 square inches
C 2,916 square inches
D 4,761 square inches
B. 486 square inches
A class of sixth-grade students is given 5 homework problems each day. The class has completed 35 homework problems. If x is the number of days, which equation should be used to determine how many days the class had homework?
A.1/5x=35
B.5x=35
C.x+5=35
D.5/x=35
B.5x=35
A local grocery store sells two different sizes of orange juice. A 48-ounce carton costs $2.88, and a 20-ounce bottle costs $1.60. Which statement is true about the unit cost of the orange juice?
A. The 20-ounce bottle is cheaper by $0.02 per ounce.
B. The 20-ounce bottle is cheaper by $0.04 per ounce.
C. The 48-ounce carton is cheaper by $0.02 per ounce.
D. The 48-ounce carton is cheaper by $0.04 per ounce.
C. The 48-ounce carton is cheaper by $0.02 per ounce.
The points (-3,2) and (-3,-5) are plotted on a coordinate plane. Which expression can be used to find the distance between the two points?
A. |-5|+|2|
B. |-5|-|2|
C.|-3|+|-3|
D.|-3|-|-3|
A. |-5|+|2|
Which expressions are equivalent to 12a+6b? Select all that apply.
A. 18ab
B.3(4a+2)
C. 6(2a+b)
D. 2(6a+3b)
E. 12+a+6+b
C. 6(2a+b)
D. 2(6a+3b)
In August, 85% of the middle school students voted in a school election. The number of students who voted was 544. How many students are in the middle school?
A 462 students
B 544 students
C 629 students
D 640 students
D 640 students
Lee purchased T-shirts $15.50 for each. The total bill was $124. When x is the number of T-shirts, which equation can be used to find the total number of T-shirts Lee purchased?
A.15.50=124x
B.15.50x=124
C.124=15.50/x
D.x/124=15.50
B.15.50x=124
Given the expression 3/4 ÷ 1/8 , which story problem can be solved by evaluating this expression?
A. Michelle ate 3/4 as much pizza as Briana. Briana ate 1/8 of a pizza. How much pizza did Michelle eat?
B. A recipe needs 3/4 of a cup of flour. Jamie only wants to make 1/8 of the recipe. How much flour should he use?
C. Jayla must read 3/4 of a book for a school assignment. She reads 1/8 of the book each night. How many nights will it take her to complete the assignment?
D. Sean has walked 3/4 of the distance between his house and Reed’s house. He has walked 1/8 of a mile. What is the distance between Sean’s house and Reed’s house?
C. Jayla must read 3/4 of a book for a school assignment. She reads 1/8 of the book each night. How many nights will it take her to complete the assignment?
Jase has 5 1/3 feet of ribbon. It takes 2/3 foot of ribbon to make one bracelet. In total, how many bracelets can Jase make?
8
Logan and Aaron are asked if three expressions are equivalent to each other.
Expression A- 10n-3n+4 Expression B- 7n+4 Expression C- 2(3n+n)+4
Logan says all 3 expressions are equivalent to each other. Aaron says only Expressions A and B are equivalent. Who is correct and why?
A Both Logan and Aaron are correct because the expressions are equal when they are simplified.
B Neither Logan nor Aaron are correct because all of the expressions have different variables, coefficients, and constants.
C Logan is correct because when he substituted 0 into all of the expressions, he had the same answer.
D Aaron is correct because when he simplified the expressions, he had the same answers on A and B only.
D Aaron is correct because when he simplified the expressions, he had the same answers on A and B only.
As of 2016, the coldest recorded temperature in Mississippi was -19F in 1966. The coldest recorded temperature in the United States was -80F in 1971. What is the difference between the two recorded temperatures?
61F
Shelby bought pies that cost $5.35 each. He paid $90.95 for all the pies. Where p is the number of pies, select the options to write an expression to represent how much Shelby paid for all the pies.
p(+,-,x) (5.35, 85.60, 90.95, 96.30)
p x 5.35 or 5.35p
Shelby’s family has a cell phone data plan that provides each family member with 5 gigabytes of data. Which ratios correctly relate the number of family members to the number of gigabytes of data? Select all that apply.
A. 1 to 10
B. 2 to 5
C. 2 to 10
D. 2 to 15
E. 3 to 15
C. 2 to 10
E. 3 to 15
Students in a sixth-grade social studies class are studying different elevations of cities in the United States. Some cities are below sea level, some are above sea level, and some are at sea level.
Which integer would represent a city that is at sea level?
A. -2
B. -1
C. 0
D. 1
C. 0