Algebraic Complex- Double Points
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?
(y-3)/4
Write an algebraic expression to model the following situation: 7 more than one-half of p
0.5p + 7
Evaluate the following expression if x=2: 3x - 16
3(2) - 16
6 - 16 = -10
Are the following expressions equivalent?: 2 + 7n and 3n + 2 + 4n. Show reasoning.
Yes, you can combined like terms 3n and 4n to make 7n
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 on Tuesday.
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
Evaluate the following expression if z=12: 4 + 5z/6
4 + 5(12)/6
4 + 60/6
4 +10 = 14
Are the following expressions equivalent?: 2z + 5 and z + 8 + z - 3. Show reasoning.
Yes, you can combine like-terms z and z to get 2z and 8 - 3 = 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?” How might Abby and Nia respond? (Must be a "simplified expression)
Let t = turtle, f = fish, d= dog, c=cat
3t+4f+ 1d+ 2c + 2t + 2f + 3d
Ans: 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
Evaluate the following expression if r=18: 16 - 2r/3 - 4
16 - 2(18)/3 - 4
16 - 36/3 - 4
16 - 12 - 4
4 - 4 = 0
Are the following expressions equivalent?: 3w - 5 and 2 + w + 3 - 4w. Show reasoning.
No. Like-terms w and -4w result in - 3w
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.
Ans = 95.24 - 4f
1day = $1.19 + f
4days = 4(1.19 + f) = 4.76 + 4f
Left = 100 -(4.76 + 4f) = 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 following expression: 17 + (-2w) + (-2) - 4w
-6w + 15
Evaluate the following expression if x=3: (11+x)/2 -(9x-3)/4
(11+3)/2 - (9(3)-3)/4
14/2 - (27-3)/4
14/2 - 24/4
7 - 6 =1
Are the following expressions equivalent?: 12y/3 and 3y.Show reasoning.
No. 12/3=4
BONUS You Earn 1000 points
BONUS You Earn 1000 points
Write an algebraic expression to model the following situation: The product of 3 and k decreased by 2
3 (k-2)
Simplify the following expression: 8p - 9r + 6r + (-3) - p + 2
7p - 3r + (-1)
Evaluate the following expression if y=7: The sum of 21/y and 4y/2
21/y + 4y/2
21/7 + 4(7)/2
21/7 + 28/2
3 + 14 =17
Are the following expressions equivalent?: 60s/5 and 14s - 2s
Yes. 60/5=12