Summer Math: Entering Algebra 1 Worksheet (Page 2 of 8) in pdf

Summer Math: Entering Algebra 1 Worksheet Page 2

The Number System (NS)

Mr. Smith has six children in his family. The list below tells you about the ages of his children.

a. No child is more than 10 years old and none of the children are the same age.

b. Alejandra is older than 8 years old, but less than 10.

c. Debra is the oldest.

d. David is 4 years younger than Debra.

e. Dexter is 3 years younger than David.

If Cristina was 5 years older, she would be as old as Debra.

g. Joey is older than Dexter but younger than David.

Make a chart showing each child and the c

2. Busy Schedule

For the sixth graders at the Kent Preparatory Middle School, music, art and physical education are scheduled

each month so that music is held only on dates that are multiples of three. Art is held only on dates that are

multiples of five, and physical education is held only on dates that are even numbers.

On which date(s) do music, art, and physical education meet on the same date? Explain how

you found your answer, making sure to use mathematical reasons and examples from the

problem.

Jake is a sixth grader at the Kent Preparatory Middle School and has had music, art, and

physical education all on the same day only six times during the ten-‐ m onth school year.

Explain why this could happen.

3. Sum of 20

How many ways can you add three different even numbers to get a sum of 20? Different

combinations of the same numbers do not count separately: 2 + 4 + 14 is the same as 4 + 2 +

14. Do not use zero in this problem. Show all your work.

Summer Math: Entering Algebra 1 Worksheet Page 2