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
−1x + (−9)
−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.
(−4x − 15) + (17 + 7x)
3x + (−2)
3x + 2
11x + (−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.
(−7 + 3.8p) + (10.7p − 4)
1.45p + (−11)
6.9p + (−3)
14.5p + (−11)
14.5p + (−3)
Question 5(Multiple Choice Worth 2 points)
(Adding and Subtracting Linear Expressions MC)
Write the following expression in simplest form.
(4 + 15.6a) − (7 + 3.7a)
19.3a + (−3)
19.3a + (−11)
11.9a + (−3)
1.19a + (−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 (−3.78b + 12) − (4.82b − 16)
Step 1 −3.78b + 12 + −4.82b − 16
Step 2 −3.78b + −4.82b + 12 − 16
Step 3 (−3.78b + −4.82b) + (12 − 16)
Step 4 −8.6b + (−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)