Mid Mod Review 1 Essay
1. Jacob lives on a street that runs east and west. The grocery store is to the east and the post office is to the west of his house. Both are on the same street as his house. Answer the questions below about the following story:
At 1:00 p.m., Jacob hops in his car and drives at a constant speed of 25 mph for 6 minutes to the post office. After 10 minutes at the post office, he realizes he is late and drives at a constant speed of 30 mph to the grocery store, arriving at 1:28 p.m. He then spends 20 minutes buying groceries.
Draw a graph that shows the distance Jacob’s car is from his house with respect to time. Remember to label your axes with the units you chose and …show more content…
Build two more numeric expressions that evaluate to 21 using the criteria above. Both must be different from the example given.
CREATED – SUMMER 2014
MATH MASTERY PROJECT
© 2014 AFUHSD. aguafria.org
This modified work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
EUREKA MATH – AFUHSD
In both of your expressions, replace 1 with a, 2 with b, 3 with c, and 4 with d to get two algebraic expressions. For example, a + ((b + c) · d) shows the replacements for the example given.
Are your algebraic expressions equivalent?
If they are equivalent, prove that they are using the properties of operations.
If not, provide two examples:
(1) Find four different numbers (other than 0, 1, 2, 3, 4) that when substituted for a, b, c, and d into each expression, the expressions evaluate to different numbers, and
(2) Find four different, non-zero numbers that when substituted into each expression, the expressions evaluate to the same number.
6. The diagram below, when completed, shows all possible ways to build equivalent expressions of 3x2 using multiplication. The equivalent expressions are connected by labeled segments stating which property of operations, A for Associative Property and C for Commutative Property, justifies why the two expressions are equivalent. Answer the following questions