Topic 1.7 and 1.8 Equations

An equation is...

• a problem that contains at least one variable and at least one operation; no equal sign

• a mathematical sentence showing two expressions are equal.

• The solution for a variable

• The value that results in a true sentence

Tags

CCSS.6.EE.B.5

 A mathematical phrase involving at least one variable and sometimes numbers and operation symbols. 

• Variable
• Algebraic Expression
• Constant
• Coefficient

Tags

CCSS.6.EE.A.2B

A letter or symbol used to represent a number or quantities that vary

• constant
• coefficient
• variable
• term

Tags

CCSS.6.EE.A.2B

Which of the following is an expression?

• 6x + 2x = 6
• 10 = 5x
• 2x + 6x - 10
• 6x² + 10 = 25

Tags

CCSS.6.EE.A.2B

Which of the following is an equation?

• 6x + 2x - 6
• 6x² + 10 = 25
• 6x² + 10 - 25
• 10y - 6 + 34u

Tags

CCSS.6.EE.B.5

What is the following sentence as an equation?

Five times a number is thirty-five

• 5 x n = 35

• 35 = 5 / n

• 5 + n = 35

• 35 = 5 - n

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

• C = 8

• J = 8 x 2

• 8 = 2 x J

• 8 = 2 + J

• J - 2 + 8

Tags

CCSS.HSA.CED.A.3

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

• j + 26 = 47

• 26j = 47

• j - 26 = 47

• 47j = 26

Tags

CCSS.HSA.CED.A.3

1. Which situation is best represented by the following equation?

45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Tags

CCSS.7.EE.B.4A

The model represents an equation.

What value of x makes the equation true?

• 3

• 8

• 6

• 4

Tags

CCSS.6.EE.B.5