Algebra I Regents Rev

A rectangular picture measures 5 inches by 7 inches.  Sally builds a wooden frame so that the framed picture takes up an area of 119 inches.   Which equation  can be used to determine the length and width of the picture frame?

• (5 + x)(7 + x) = 119
• 5x + 7x = 119
• (5 - x) + (7 - x) = 119
• (5 + 2x)(7 + 2x) = 119

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Which of the following graphs represent the piecewise function  f(x)?

• (1)
• (2)
• (3)
• (4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• (1)
• (2)
• (3)
• (4)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• (a)
• (b)
• (c)
• (d)

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

• (a)
• (b)
• (c)
• (d)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

An animal shelter spends $2.50 per day for each cat and $4.75 per day for each dog.  They spent $46.25 caring for cats and dogs on Monday.  If there were a total of 14 animals at the shelter on Monday, how many dogs were there?      

• 5
• 9
• 8
• impossible to determine with the given information

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

A rock is dropped off a ledge on the moon according to the formula  d(t) = .7t², find the average speed, in meters per second, between 4 and 8 seconds after it was dropped. 

• .12 m/s
• 8.4 m/s
• 4 m/s
• .7 m/s

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.6

• (1)
• (2)
• (3)
• (4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Re-write g(x) = -x² + 4x + 1 in vertex form by completing the square. 

• g(x) = -(x + 2)² + 5
• g(x) = -(x - 2)² + 5
• g(x) = (x + 2)² - 5
• g(x) = -(x - 2)² - 3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

• (1)
• (2)
• (3)
• (4)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1