Basic Algebra and Arithmetic Concepts

This video tutorial covers several mathematical problems for 7th-grade students. It begins with rewriting subtraction equations as addition equations, followed by finding differences using number line diagrams. The tutorial then explains how to calculate the percentage gratuity from a restaurant bill. It continues with solving equations mentally and understanding the constant of proportionality between kilograms and pounds. The video concludes with a call to action for viewers to support the channel.

How can the equation a - 9 = 6 be rewritten as an addition equation?

• a + 9 = 6

• a = 9 - 6

• a + (-9) = 6

• a = 6 - 9

Tags

CCSS.6.EE.B.7

What is the opposite of -12 in the equation z - (-12) = 15?

• -12

• -15

• 12

• 15

Tags

CCSS.2.OA.A.1

What is the difference between 9 and 4?

• 7

• 5

• 3

• 13

Tags

CCSS.7.NS.A.1C

What is the result of 4 minus a negative 9?

• -5

• 13

• 5

• -13

Tags

CCSS.7.NS.A.1C

What is the total when -4 is subtracted from -9?

• 5

• -5

• 13

• -13

Tags

CCSS.6.RP.A.3C

If a restaurant bill is $59 and you pay $72, what is the percentage gratuity?

• 22%

• 15%

• 25%

• 20%

Tags

CCSS.1.OA.D.8

What number should be added to 30 to get 40?

• 5

• 20

• 10

• 15

Tags

CCSS.6.EE.B.7

What is the solution to the equation -1 + C = -2?

• 0

• -1

• -2

• 1

Tags

CCSS.5.MD.A.1

How many kilograms are equivalent to 11 pounds?

• 2 kg

• 3 kg

• 4 kg

• 5 kg

Tags

CCSS.7.RP.A.2B

What is the constant of proportionality when converting 1 kilogram to pounds?

• 4.4

• 3.3

• 2.2

• 1.1

Tags

CCSS.7.RP.A.2B