Algebra I Regents Review

The expression  $w^4-36$  is equivalent to 

•  $\left(w^2-18\right)\left(w^2-18\right)$  

•  $\left(w^2+18\right)\left(w^2-18\right)$  

•  $\left(w^2-6\right)\left(w^2-6\right)$  

•  $\left(w^2+6\right)\left(w^2-6\right)$  

If f(x) = 4x + 5, what is the value of f(-3)?

• -2

• -7

• 17

• 4

Given:

 $f\left(x\right)=\left(x-2\right)^2+4$  

 $g\left(x\right)=\left(x-5\right)^2+4$  

When compared to the graph of f(x), the graph of g(x) is

• shifted 3 units to the left

• shifted 3 units to the right

• shifted 5 units to the left

• shifted 5 units to the right

• Anne

• Bob

• Carrie

• Dylan

When solving  $p^2+5=8p-7$  , Kate wrote

  $p^2+12=8p$ . The property she used us

• the associative property

• the commutative property

• the distributive property

• the addition property of equality

David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?

• $42<x\le57$

• $42>x\ge57$

• $42<x$ or $x\le57$

• $42>x$ or $x\ge57$

When 3a + 7b > 2a - 8b is solved for a, the result is

• a > -b

• a < -b

• a < -15b

• a > -15b

The area of a rectangle is represented by  $3x^2-10x-8$ . Which expression can also be used to represent the area of the same rectangle?

•  $\left(3x+2\right)\left(x-4\right)$  

•  $\left(3x+2\right)\left(x+4\right)$  

•  $\left(3x+4\right)\left(x-2\right)$  

•  $\left(3x-4\right)\left(x+2\right)$  

• I and III

• I and IV

• II and III

• II and IV

• A, only

• B, only

• A and C, only

• A,B, and C