Algebra Review Section 5.1-5.3

Which of the following represent direct variation? Check all that apply.

• y = 2x

• 2y + 1 = 6x

• 9y + 4 = 8x

• 2y = 10x

• 3x = 21y

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

When giving your answer write "m=___ and y-intercept= _____"  (No spaces in between the equal signs)

Identify the slope and y-intercept of the line: 

y = (3/4)x + 7

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

Suppose y varies directly with x, and y =30 when x = 3. What direct variation equation relates x and y? What is the value of k, the constant of variation?

• k = 10

• k = 90

• k = 60

• k = 1/10

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

Which graph shows the equation y = 3x?

• Graph E

• Graph D

• Graph F

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.2

At the beginning of the year, Jack had $990 in the bank. Each week he deposited $50 from his bank account. Give an equation that represents the relationship.

• y = 990x – 50

• y = 50x – 990

• y = 50x + 990

• y = –50x + 990

Tags

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope of the line that passes through the pair of points: (6,-5) and (7,-5)

• -5

• 0

• undefined

• -1/5

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

A ________ line has a slope of zero.

Tags

CCSS.HSS.ID.C.7

Determine whether the table could describe a direct variation and explain. If you decided the relationship could be a direct variation, find the constant of variation.

• Yes because y/x is the same for each data pair therefore y varies directly with x.

• No because the ratio y/x is not the same for all data pairs therefore y does not vary directly with x.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.2

CCSS.8.F.B.4

Suppose y varies directly with x, and y = -10 when x = 5. What direct variation equation relates x and y? What is the value of y when x =2? You need to write the equation AND what you get when you plug 4 in for x into the equation

• Equation: y = 2x

  When x=2, y = 4.

• Equation: y = -2x

  When x=2, y = -4

• Equation: y = (-1/2)x

  When x = 2, y = -1

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

Write an equation describes the relationship between the total number of calories burned on 

Saturday, t, and the number of hours spent raking leaves, h for the following situation:

On Saturday Peter burned 150 calories while swimming. After swimming, he raked leaves and burned 200 calories an hour.

• t = 200 + 150x

• y = 200x + 150

• t = 200h + 150

• y = 200 + 150x

Tags

CCSS.8.F.A.1

CCSS.8.F.B.4