Expression 1
wildcard 1
Expressions 2
GCF Or LCM
wildcard 2
100
What is the simplest form of the algebraic expression
a+a−b−b+a+a+a+a+b+b+b
6a + b
100
Mark used these steps to solve a problem that involved whole-number exponents.
Mark solved the problem incorrectly.
(2 + 3)^2 – 7 · 3
(5)^2 – 7 · 3
10 – 7 · 3
3 · 3
9
What were Clark’s error(s)? Explain your answer.
1. he did not do the square root correctly
2. he subtracted instead of multiplying first
100
Which expression is equivalent to 9⋅m⋅m⋅m⋅7⋅n
A) 63mn3
B) 63 X 3mn
C) 63m3n
D)9m7n
C
100
Linda loves the ocean. She surfs once every 6 days and sails once every 8 days.
If Linda does both today, in how many days will she surf and sail on the same day?
In order to receive full points, you must show all of your work and explain your answer
LCM of 6 and 8
Linda will surf and sail again in 24 days
100
Write an expression equivalent to
4(u+11w)
4c + 44w
200
Jasmine evaluated the expression 3x + 2
when x = 5.
3x+2
35+2
37
A) Find her mistake.
B)What is the correct answer?
A) she did not multiply 3x5 she combined the numbers
B) 17
200
What is the correct answer to this problem:
(2 + 3)^2 – 7 · 3
(5)^2 – 7 · 3
10 – 7 · 3
3 · 3
9
4
200
Perry and Alan are comparing the values of two expressions.
Perry thinks the value of expression M is greater than the value of expression N. Alan thinks the value of expression M is less than the value of expression N. Which student is correct, solve to prove your answer
Alan:
Expression M Expression N
(5+5)2 + 1 - 23 52 + 52 - 1 + 23
25 + 1-8 25 + 25 - 1 + 8
26-8 50 -1 + 8
18 49 + 8
57
200
A boat leaves Savannah every 6 minutes, and a boat leaves St. Simons 9 minutes. At 7:03 a.m., the boats leave the docks in both Savannah and St. Simons. When will boats leave both docks at the same time again?
In order to receive full points, you must show all of your work and explain your answer
LCM for 6 and 9
The boats will both leave again every 18 minutes. The boats will leave at 7:21 am
200
Kate charges $5.00 per hour, per child to babysit. Two of her neighbors asked her to babysit on Saturday.
Mrs. Nelson has 3 children and needs her to babysit for 4 hours.
Mrs. Adams has 2 children and needs her to babysit for 6 hours.
Let x represent the number of children and h represent the number of hours. If Kate uses the formula, h(5.00x), for which neighbor would Kate earn the most money and what is the difference in earnings?
Please show all of your work to receive full points
They are the same $60
N: h(5x) A: h(5x)
4(5*3) 6(5*2)
4(15) 6(10)
$60 $60
300
A city has ten schools. Each school has 10 classrooms. Each classroom has ten students. Five thousand pencils are equally distributed to the students. How many pencils will each student receive?
103=1000
5000/1000
5 pencils
300
Zaveria opens a savings account at the local bank with$500. If Zaveria does not take any money out of the savings account and she deposits an additional $400 each month, write an expressions that represents the amount in Zaveria's savings account after x months?
400x + 500
300
Write an expression to represent the area of the square.
8a x 8a
0r
(8a)2
300
Kenia sells frozen treats in custom packages. She has 98 lemon popsicles and 14 pineapple sherbet bars. She wants to put them in packages that each have the same number of lemon popsicles and the same number of pineapple sherbet bars.
To receive full points, you must Show ALL of your work and explain your answer
GCF 98 and 14
Kenia will make 14 identical packages with 7 lemon popsicles and 1 pineapple sherbet bar
300
Samuel solved the numerical expression with the following steps.
6 + 43 / 4
6 + 16 /4
6 + 4
10
Where did Samuel make his mistake?
*You must show your work to receive all the points
43 does not equal 16 and he did not divide by 4
6+43 /4
6 + 64 /4
6 + 16
22
400
The perimeter of a rectangle is often represented by the expression 2l+2w.
What is the perimeter of this rectangle ?
2(8.4) + 2(3.7) = 24.2
400
An expression is shown.
5n + 13 + 9p + 11n + 14p
Identify all the parts of the expression.
13 9p + 11n 14p 5
Coefficient, term, factor, sum, quotient, product
coefficient:
term: 13
factor: 14p
sum: 9p + 11n
quotient:
Product: 14p
400
WHICH EXPRESSION IS EQUIVALENT TO AND SHOWS THE GREATEST COMMON FACTOR OF THE EXPRESSION 24 + 64
A) 4 (6 + 16)
B) 4 (20 + 60)
C) 8 (3 + 8)
D) 8 (15 + 53)
C
400
Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the same combination of each fruit, with none left over. Maylin believes the greatest number of baskets they can make is 6, and Nina believes the greatest number of baskets they can make is 9.
A)Determine who is correct. Explain how you know.
B)Determine the number of each fruit that will be in each basket.
Show your work to receive full points
A) Nina
B)9 baskets: 4 apples, 3 bananas, 2 oranges
400
Which of the following algebraic expressions is equal to 12?
A) 42 + 22
B) 32 + 12 / 4
C) 7 x 4 - 4 /2
*to receive full points, you must show all your work"
C
500
Driving time hours can be found using the expression d/r, where d=distance in miles and r=speed in miles per hour.
How many minutes will it take to complete 540 miles driving 60 miles per hour?
540/60 = 9 hours which -540 minutes
500
Write “4 more than x” as an expression
x + 4
500
Michael wants to purchase supplies at the school store. The table shows the cost of items at the school store.
If Michael bought 6 pencils, 2 packs of notebook paper, and 4 markers, what total amount did he spend?
$3.30
500
On April 4, the baseball team and softball team each played a game. The original schedule called for the baseball team to play every 3 days and the softball team to play every 4 days. Due to cancelled games, the softball schedule changed to a game every 5 days.
What are the original date and the new date when the baseball and softball teams would first play on the same day?
Original LCM: 12 Days, April 16
New Date LCM: 15 Days, April 19
500
A local plumber charges $95 per hour to make repairs and $5 per mile for travel to the job site. The plumber’s total charge is represented by the expression 95t + 5m, where t represents the time in hours and m represent the mileage to the job site.
What will be the plumber’s total charge if he travels 13 miles to a job site, then spends 4 hours making the repairs?
95(4) + 5(13)
380 + 65 = $445
600
Consider the expressions:
A: 2(9g−5g)
B: 4g×g+3g
C: 4g−g−g+6g
D: 2(4g)
Which of these expressions are equivalent to 8g?
A, C and D
600
What is the value of 5c - 3d + 11 when c = 7 and d = 8?
22
600
Simplify the expression 32x+24y
8 (4x + 3y)
600
Two whole numbers have a least common multiple of 40.
● Each number is less than or equal to 10.
● The greatest common factor of the two numbers is 2.
What are the two numbers?
8 and 10
600
How could you use the GCF and the distributive property to express the sum of 63 + 81?
9 (7 + 9)