Which quantity could go in the blank to make the equation below true? s+3s+6s___=10s a. 6s
b. 2s
c. 9s
d. 7s
9. This question has two parts. Be sure to answer both parts of the question using the distributive property.
Part A:
9(2x+5)
Part B:
6(s+3h+4z)
10. This question has multiple parts. Be sure to answer all parts of this question.
Joen poured 3.2 liters of water into a partially filled pitcher. The pitcher then contained 15.8 liters.
Part A
Make a diagram to represent this situation.
Part B
Create an equation that represents this situation.
11. Sally’s teacher asks him if these two expressions 3x+5 and 4x are equivalent. Ahmad says the expressions are equivalent because the value of each expression is 20 when x=5. Is Sally correct? Explain your thinking.
12. This question has two parts. Be sure to answer both parts of the question. Here is an expression:
2*4^t
Part A
Evaluate the expression when t is 2.
Part B
Evaluate the expression when t is 3.
13. Part A
3/10 of the students in a school are in sixth grade.
If the school has s students, create an expression for the number of sixth graders in terms of s.
Part B
How many 6th graders are there if the school has 28 students?
Part C
How many students are in the school if 32 of them are sixth graders?
14. Melanie makes apple mango juice by mixing 3 cups of apple juice with every 7 cups of mango juice.
Part A
How much apple juice does Melanie need if she uses 14 cups of mango juice?
Part B
How much mango juice does Melanie need if she uses 18 cups of apple juice?
Part C
Create a graph showing the pair of measurements.
Part D
Let “a” represent the number of cups of apple juice and “m” represent the number of mango juice.
Create an equation that shows how “a” and “m” are related.,