College Algebra Final Review

Solve the equation    3x + 7 = 0

• x =  $-\frac{7}{3}$  

• x =  $\frac{7}{3}$  

• The solution set is $\left(-\infty,\infty\right)$  

• There is no solution

Tags

CCSS.6.EE.B.7

Solve.

 $x^2\ +6x\ +9\ =\ 14$  

•  $3\pm\sqrt{14}$  

•  $-3\pm\sqrt{14}$  

•  $11$  

•  $\pm\sqrt{14}$  

Tags

CCSS.HSA-REI.B.4B

Find the equation for the circle with center (3,1) and passing through (- 1,4)

• $\left(x+1\right)^2+\left(y\ -\ 4\right)^2\ =\ 25$

• $\left(x+1\right)^2+\left(y\ -\ 4\right)^2\ =\ 5$

• $\left(x-3\right)^2+\left(y\ -\ 1\right)^2\ =\ 25$

• $\left(x-3\right)^2+\left(y\ -\ 1\right)^2\ =\ 5$

Tags

CCSS.HSG.GPE.A.1

For the pair of functions, find the indicated sum, difference, product, or quotient.

f(x) = 8x - 7, g(x) = 5x - 3

Find ( f- g)(x)

• 3x - 4

• -3x + 4

• 3x - 10

• 13x - 10

Tags

CCSS.HSF-BF.A.1B

Find the domain of the function. 
 $f\left(x\right)=\frac{8}{x^2}$  

•  $\left(\left\{x|x>8\right\},or(8,\infty\right)$  

•  $\left(\left\{x|x<2\right\},or\ (-\infty,2\right)$  

•  $\left(\left\{x|x\ne0\right\},or\ (-\infty,0\right)U\left(0,\infty\right)$  

• All real numbers  $\left(-\infty,\infty\right)$  

Use the quadratic formula to find the exact solutions.
 $x^2\ -\ 10x\ +\ 61\ =\ 0$  

•  $5\pm6i$  

•  $11,\ -1$  

•  $-5\ \pm\ 6i$  

•  $10\ \pm12i$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Find an equation fro the circle.
Center at  $\left(2,-8\right)$ , radius of length  $\frac{1}{2}$  

•  $\left(x\ -\ 2\right)^2\ +\ \left(y\ -8\right)^2\ =\ \frac{1}{2}$  

•  $\left(x\ -\ 2\right)^2\ +\ \left(y\ +8\right)^2\ =\ \frac{1}{2}$  

•  $\left(x\ -\ 2\right)^2\ +\ \left(y+\ 8\right)^2\ =\ \frac{1}{4}$  

•  $\left(x\ +\ 2\right)^2\ +\ \left(y-\ 8\right)^2\ =\ \frac{1}{4}$  

Solve.
 $\frac{x+9}{2}\text{}-\frac{x-20}{3}=2$  

•  $x\ \ =\ -65$  

•  $x=-55$  

•  $x=15$  

•  $x\ =\ 25$  

Tags

CCSS.8.EE.C.7B

Find the vertex for the quadratic equation below.
 $f\left(x\right)=x^2\ -\ 16x\ +55$  

•  $\left(0,55\right)$  

•  $\left(-8,247\right)$  

•  $\left(-8,155\right)$  

•  $\left(8,-9\right)$  

Solve the following inequality and write interval notation for the solution set.
 $\left|x\ +8\right|\ <\ 4$  

•  $\left(-\infty,12\right)$  

•  $\left(-\infty,-4\right)$  

•  $\left(-12,-4\right)$  

•  $\left(-\infty,-12\right)U\left(-4,\infty\right)$