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Question 1(Multiple Choice Worth 2 points)
(Adding and Subtracting Linear Expressions MC)

Write the following expression in simplest form.

the expression negative three fourths times x minus 8 minus the expression negative 17 plus two eighths times x

βˆ’1x + (βˆ’9)
βˆ’1x + (9)
four eighths times x plus nine
four eighths times x plus negative twenty five
Question 2(Multiple Choice Worth 2 points)
(Adding and Subtracting Linear Expressions MC)

Write the following expression using the fewest possible terms.

(βˆ’4x βˆ’ 15) + (17 + 7x)

3x + (βˆ’2)
3x + 2
11x + (βˆ’2)
11x + 32
Question 3(Multiple Choice Worth 2 points)
(Adding and Subtracting Linear Expressions MC)

Write the following expression using the fewest possible terms.

the expression quantity two fifths times t minus 7 plus two thirds times t end quantity minus quantity five sixths times t plus 14 end quantity

7 over 30 times t plus negative 7
7 over 30 times t plus negative 21
negative 57 over 30 times t plus negative 7
57 over 30 times t plus negative 21
Question 4(Multiple Choice Worth 2 points)
(Adding and Subtracting Linear Expressions MC)

Write the following expression using the fewest possible terms.

(βˆ’7 + 3.8p) + (10.7p βˆ’ 4)

1.45p + (βˆ’11)
6.9p + (βˆ’3)
14.5p + (βˆ’11)
14.5p + (βˆ’3)
Question 5(Multiple Choice Worth 2 points)
(Adding and Subtracting Linear Expressions MC)

Write the following expression in simplest form.

(4 + 15.6a) βˆ’ (7 + 3.7a)

19.3a + (βˆ’3)
19.3a + (βˆ’11)
11.9a + (βˆ’3)
1.19a + (βˆ’11)
Question 6 (Essay Worth 4 points)
(Adding and Subtracting Linear Expressions HC)

Margie's work for adding linear expressions is shown below. After checking her answer with the answer key, she solved it incorrectly.


Given (βˆ’3.78b + 12) βˆ’ (4.82b βˆ’ 16)
Step 1 βˆ’3.78b + 12 + βˆ’4.82b βˆ’ 16
Step 2 βˆ’3.78b + βˆ’4.82b + 12 βˆ’ 16
Step 3 (βˆ’3.78b + βˆ’4.82b) + (12 βˆ’ 16)
Step 4 βˆ’8.6b + (βˆ’4)


Part A: Identify and explain the first step where Margie made an error. (2 points)

Part B: Explain how to correctly write the expression in fewest terms by correcting the error in Part A. Show all work. (2 points)