Week 32 Warm-Ups

The opposite of 5 is

Mathematical Equivalence

ON

The absolute value of 28 is

Mathematical Equivalence

ON

Match the following algebraic expression with an equivalent expression.

• 2n - 2

• n + (-32)

• 2n + ( -1 )

• 2n - 1

• 2 ( n - 1 )

• n - 32

x + 6 = 13 is an ​ (a)   because it has ​​ (b)   . The solution is ​ (c)   .

• equation
• expression

• inequality

• x-7

• an equal sign
• no equal sign

• x=7

• 9 friends each had n pencils in their pencil pouch. The group of friends had at least 63 pencils.

• 9 more than n candles is no more than 63 total candles.

• 9 characters in a book each had n nicknames. There were no more than 63 nicknames in the book.

• There were n total pets owned by a class. There were less than 9 pets owned by each student and the teacher was 63.

Opposites can be positive or negative.

• False
• True

Tags

6.3

In a 2-variable equation ​ (a)   depends on ​ (b)   .

• y
• x

∣-61∣ ____ ∣5∣

• <

• >

• =

Categorize these equations and situations into multiplicative and additive categories.

Groups:

(a) Additive

,

(b) Multiplicative

• Chris had 8 paperclips and True gave him some more. Now he has 15 paperclips.

• Keyonia had 13 pens and Bailey had some as well. Together they had 13 pens.

• Sarah has 3 tests to study for. Each test requires n hours of study. She has 18 total hours.

• There are 5 boxes, each containing n notebooks. In total, there are 25 notebooks.

Organize these triangle attributes into the correct category.

Groups:

(a) Will NOT make a triangle

,

(b) WILL make a triangle

• Angles of 50*, 50*, 90*

• Side lengths of 5 ft, 20 ft, 11 ft

• Side lengths of 60 mm, 30 mm, 30 mm

• Side Lengths of 7, 5, 4

• Angles of 30*, 60*, 90*

• Angles of 56*, 92*, 42*