# Mid Mod Review 1 Essay

1137 Words Nov 23rd, 2014 5 Pages
EUREKA MATH – AFUHSD

Mid-Module Review

M1

ALGEBRA I

Name

Date

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.
a.

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
For example, 1+((2+3) · 4) is one such expression.
a.

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

TM

2

EUREKA MATH – AFUHSD

Mid-Module Review

M1

ALGEBRA I

b.

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.
 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

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