Algebraic Complex
Sally had y pieces of Candy. She ate 3 of them. Then she split the remain candy equally among 4 friends. How many pieces of Candy did each friend receive? Write an algebraic expression to represent this problem.
(y-3)/4
Write an algebraic expression to model the following situation: 7 more than one-half of p
0.5p + 7
Simplify the expression: v + v + 5 - 2 + 3v
5v + 3
Evaluate the following expression if x=2: 3x - 16
-10
Expressions equivalent?: 2 + 7n and 3n + 2 + 4m
No, 2 + 7n not equal to 4m + 3n + 2
Marcia ran m miles on Monday. On Tuesday, she ran 18% farther than she ran on Monday. Write an expression for how far Marcia ran in total.
m + 1.18m
Jim is k years old. Alex is 4/7 of his age. How old is Alex in terms of k?
4/7k
Simplify the expression: 4k - 3j + 6 + k + 2j
-j + 5k + 6
Evaluate the following expression if z=12: 4 + 5z/6
14
Expressions equivalent?: 2z + 5 and z + 8 + z - 3
Yes 2z + 5 = 2z + 5
Abby has 3 turtles, 4 fish, a dog and 2 cats. Nia has 2 turtles, 2 fish, and 3 dogs. Mr. Garcia asks them, “how many pets do you two have all together and how much money would you make if you sold them?” Write an Algebraic Expression.
5t + 6f + 4d + 2c
Write an algebraic expression to model the following situation: 17 less than the quotient of k and 4
k/4 - 17
Simplify the expression: 3 + 4p + r - 8p + 6p + 1 - 3r
2p - 2r + 4
Evaluate the following expression if r=18: 16 - 2r/3 - 4
0
Expressions equivalent?: 3w - 5 and -2 + w - 3 - 4w
No. 3w - 5 not equal to -3w - 5
Martin’s grandma gave him a $100 gift certificate to his favorite restaurant. Everyday for four days Martin went to the restaurant and bought a drink for $1.19 and fries for f dollars. Write an expression for how much money Martin has left on his gift certificate.
95.24 - 4f
Write an algebraic expression to model the following situation: 6 less than the product of 8 and k
8k - 6
Simplify the expression: 17 + (-2w) - (-2) - 4w
-6w + 19
Evaluate the following expression if x=3: (11+x)/2 -(9x-3)/4
1
Expressions equivalent?: 12y/3 and 3y
Show work
No. 4y not equal to 3y
A Junior High School wants to meet its goal of reading 1,000 books in three months. If 7th grade reads x number of books every week, 8th grade reads y number of books every week, and 9th grade reads z number of books every week, write an expression for how many books the school will still need to read after 3 weeks?
1000 - 3x -3y -3z or 1000 - 3(x + y + z)
Write an algebraic expression to model the following situation: The product of 3 and k decreased by 2
3k - 2
Simplify the expression: 8p - 9r + 6r - (-3) - p + 2
7p - 3r + 5
Evaluate the following expression if y=7: The sum of 21/y and 4y/2
17
Expressions equivalent?: 60s/5 and s - (-14s) - 3s
Show work
Yes. 12s = 12s