Chapter 1 Quadratic Functions and Equations in One Variable

Which of the following is not a quadratic

expression in one variable ?

• $\frac{2}{3}\ y^2-5$
  

• $3x^2+x^{-2}$

• p(3 - 2p)

• $-\frac{1}{3}k^2+4k$

Express the quadratic equation 

 $\frac{4}{2y-1}=7-\frac{3}{y}$  

•  $14y^2+17y-3=0$ 

•  $14y^2+17y+3=0$  

•  $14y^2-17y-3=0$  

•  $14y^2-17y+3=0$  

Tags

CCSS.HSA.REI.A.2

1. Solve the following quadratic equation :

4x ( 2x – 1 ) – x = 3.

• $x=-1,\ x=\frac{3}{8}$

• $x=-\frac{3}{4},\ x\ =\ \frac{1}{2}$

• $x=-\frac{1}{2,}x=\frac{3}{4}$

• $x=-\frac{3}{8\ },\ x=1$

Tags

CCSS.HSA-REI.B.4B

Which graph represents f (x) = 2x - ?

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7E

• $f\left(x\right)\ =\ x^2-4x+16$

• $f\left(x\right)=\left(x-2\right)^2-16$

• $f\left(x\right)=-x^2-2x+16$

• $f\left(x\right)=-\left(x-2\right)^2+16$

Tags

CCSS.HSF-IF.C.7A

     Given the roots of the graph of the quadratic 

 $function\ f\left(x\right)=-x^2+2x+8\ are\ -2\ and\ 4.$ Find the coordinates of the maximum point. 

• ( -1, 11 )

• ( -1, 9 )

• ( 1, 9 )

• ( 1, 11 )

Tags

CCSS.HSF-IF.C.7A

Determine the coordinates of the minimum point from the graph of the quadratic function  $f\left(x\right)=x^2+6x-1$       

• ( -3, -10 )

• ( -3,   0 )

• ( 3, 10 )

• ( 3,   0 )

Tags

CCSS.HSF-IF.C.7A

Find the equation of axis of symmetry of the graph of the quadratic function  $f\left(x\right)=3x^2-x-2\left(5-x\right)$  

•  $x=\frac{10}{3}$  

•  $x=\frac{1}{6}$  

•  $x=-\frac{1}{6}$  

•  $x=-\frac{10}{3}$  

Given one of the roots of the quadratic equation $x^2-px-10=0\ is\ 5,\$  calculate the value of p. 

  

• 3

• 2

• -2

• -3

Tags

CCSS.HSA-REI.B.4B

The length of a rectangle exceeds its width by

5 cm. The area of the rectangle is 500 .

Calculate its length, in cm.

• 10

• 15

• 20

• 25