Algebra 1 Unit 4 Test B Review Quadratics

Which graph represents the function $f\left(x\right)=\left(x-5\right)^2+3$ ? 

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Tags

CCSS.HSF-IF.C.7A

The parent function of the function $g\left(x\right)=\left(x-h\right)^2+k\$ is  $f\left(x\right)=x^2$ .  The vertex of the function g(x) is located at (9, -8).  Which function represents g(x)?

•  $g\left(x\right)=\left(x+9\right)^2-8$  

•  $g\left(x\right)=\left(x-8\right)^2+9$  

•  $g\left(x\right)=\left(x-9\right)^2-8$  

•  $g\left(x\right)=\left(x+8\right)^2+9$  

What number would you add to both sides of  $x^2-20x=5$ to complete the square? 

• 20

• 10

• 400

• 100

Tags

CCSS.HSA-REI.B.4B

Solve  $x^2+12x=-20$ by completing the square. 

•  $x=10,\ x=2$  

•  $x=-10,\ x=-2$  

•  $x=-10,\ x=2$  

•  $x=10,\ x=-2$  

Tags

CCSS.HSA-REI.B.4B

Solve $x^2+8x=33$ by completing the square. 

•  $x=3,\ x=11$  

•  $x=-11,\ x=-3$  

•  $x=-3,\ x=11$  

•  $x=-11,\ x=3$  

Tags

CCSS.HSA-REI.B.4B

What is the value of the discriminant of $0=-2x^2+6x+13$ ? 

• -68
  

• 68

• 140

•  $\sqrt{140}$  

Tags

CCSS.HSA-REI.B.4B

Use the discriminant of $f\left(x\right)=3x^2+7x+2$ to determine how many solutions this solutions this function will have.  

• 2 real solutions

• one real solution

• no real solutions

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to find the solutions of $0=-3x^2-4x+5$ .  Write answsers in simplest radical form.  

•  $\frac{4\pm\sqrt{76}}{-6}$  

•  $\frac{4\pm2\sqrt{19}}{-6}$  

•  $\frac{2\pm\sqrt{19}}{-3}$  

•  $\frac{2\pm\sqrt{76}}{-3}$  

Tags

CCSS.HSA-REI.B.4B

A rectangle's length is 4 more than twice its width. Its area is 240 square centimeters. What is the width and length of the rectangle? (Hint: set up a quadratic equation using $A=l\cdot w$ ) 

•  $w=10,\ l=-12$  

•  $w=10,\ l=24$  

•  $w=12,\ l=28$  

•  $w=24,\ l=10$  

A triangle's height is  $6c$  meters and the base is  $c-1$ meters.  The area is   $18\ m^2$ .  What equation can be used to find the height and what is the correct height?

(hint:   $A=\frac{1}{2}bh$ )  

•  $\frac{1}{2}\left(c-1\right)\left(6c\right)=18,\ height\ =3$  

•  $\frac{1}{2}\left(c-1\right)\left(6c\right)=18,\ height\ =18$  

•  $2\left(c-1\right)\left(6c\right)=18,\ height\ =-2$  

•  $2\left(c-1\right)\left(6c\right)=18,\ height\ =10.93$