Algebraic Complex
Writing Algebraic Expressions
Simplifying Expressions
Evaluating Expressions
Equivalent Expressions
100

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

100

Write an algebraic expression to model the following situation: 7 more than one-half of p

0.5p + 7

100
Simplify the following expression: v + v + 5 - 2 + 3v
5v + 3
100
Evaluate the following expression if x=2: 3x - 16
3(2) - 16 6 - 16 -10
100
Are the following expressions equivalent?: 2 + 7n and 3n + 2 + 4n
Yes
200

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 + 2.18m

200

Jim is k years old. Alex is 4/7 of his age. How old is Alex in terms of k?

4/7k

200
Simplify the following expression: 4k - 3j + 6 + k + 2j
-j + 5k + 6
200
Evaluate the following expression if z=12: 4 + 5z/6
4 + 5(12)/6 4 + 60/6 4 +10 14
200
Are the following expressions equivalent?: 2x + 5 and z + 8 + z - 3
Yes
300

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?

Let t = turtle, f = fish, d= dog, c=cat

3t+4f+ 1d+ 2c + 2t + 2f + 3d 

Ans: 5t + 6f + 4d + 2c

300
Write an algebraic expression to model the following situation: 17 less than the quotient of k and 4
k/4 - 17
300
Simplify the following expression: 3 + 4p + r - 8p + 6p + 1 - 3r
2p - 2r + 4
300
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
300
Are the following expressions equivalent?: 3w - 5 and 2 + w + 3 - 4w
No.
400

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

400

Write an algebraic expression to model the following situation: 6 less than the product of 8 and k

8k - 6

400
Simplify the following expression: 17 + (-2w) - (-2) - 4w
-6w + 19
400
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
400
Are the following expressions equivalent?: 12y/3 and 3y
No
500

Juab Junior High School wants to meet its goal of reading 10,000 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?

Ans: 10000 - 3x -3y -3z or 10000 - 3(x + y + z)

7: x books per week; 8 = y books per week, 9 = z books per week

1 week books = x + y + z

3 weeks = 3(x + y + z) = (3x +3y + 3z)

500
Write an algebraic expression to model the following situation: The product of 3 and k decreased by 2
3(k-2)
500
Simplify the following expression: 8p - 9r + 6r - (-3) - p + 2
7p - 3r + 5
500
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
500
Are the following expressions equivalent?: 60s/5 and s - (-14s) - 3s
Yes.
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