Question

i can rewrite expressions in different forms.

1. mr. glass asked his students to write an expression that was equivalent to -5(4x - 9). circle the names of any students who correctly completed the task.

lang
-10(2x - 4) + 5
caitlyn
-20x + 45
ezra
3(7x - 15) - x
clarita
5 - 20(x - 2)

1. carl and deshaun are each mixing solutions in a flask. carl’s flask has x milliliters of liquid. deshaun’s flask has 30% more milliliters than carl’s flask. which expression could be used to represent the number of milliliters of liquid in deshaun’s flask?

a. x + 0.3x
b. 1.3x
c. both a and b
d. neither a nor b

1. write an expression to represent the perimeter of the figure below.

x + 2
2x - 3

Explanation:

Question 9

Step1: Simplify original expression

$-5(4x - 9) = -20x + 45$

Step2: Check Lang's expression

$-10(2x - 4) + 5 = -20x + 40 + 5 = -20x + 45$

Step3: Check Caitlyn's expression

$-20x + 45$ (matches directly)

Step4: Check Ezra's expression

$3(7x - 15) - x = 21x - 45 - x = 20x - 45$ (does not match)

Step5: Check Clarita's expression

$5 - 20(x - 2) = 5 - 20x + 40 = -20x + 45$

Question 10

Step1: Calculate 30% of Carl's liquid

$0.3x$

Step2: Write Deshaun's total liquid

$x + 0.3x$

Step3: Simplify the expression

$x + 0.3x = 1.3x$

Step4: Compare options

Both $x+0.3x$ and $1.3x$ are valid.

Question 11

Step1: Recall rectangle perimeter formula

$P = 2(l + w)$

Step2: Substitute length and width

$P = 2[(2x - 3) + (x + 2)]$

Step3: Simplify inside parentheses

$(2x - 3) + (x + 2) = 3x - 1$

Step4: Compute final perimeter

$2(3x - 1) = 6x - 2$

Answer:

1. Caitlyn, Lang, Clarita
2. C. Both A and B
3. $6x - 2$