Algebra 1 Final Exam Review

Evaluating Expressions

100

Evaluate: 

4y - (3x+1) when  x = 1 and y = 2

What is 4?

200

Evaluate:   

(4x-y)/2; when  x = 3 and y = 2

What is 5?

300

Evaluate:  

r-(r-q)^3; when  q = 2 and r = 2

What is 2?

400

Evaluate:  

z - z/y  when  y = 7/5 and z = 2 1/2

What is 

5/7 ?

500

Evaluate:  

k(k-h)  when  h = 2 1/6 and k = 2 1/2

What is 

35/3 or 11 2/3

MultiStep Equations and Inequalities

100

Evaluate:  

-8(6-2r)=-6+2r

What is 3?

200

Evaluate:  

-2r+5=-3(1-2r)+8

What is 0?

300

Evaluate:  

(n-4)/(n-7)=10/5

What is 10?

400

Evaluate:  

-3(6x+6)<-126

What is x > 6?

500

Evaluate: 

-297<-2x-7(1+8x)

What is x < 5 ?

Radicals AND Systems of Equations and Inequalities

100

What is the solution to the following system of equations?

 x+2y=23 

 4x+10y=110 

What is (5,9) ?

200

What is the solution to the following system of equations?

 9x+12y=216 

6x+4y=108

What is (12,9)?

300

Which of the following ordered pairs are solutions to this system of inequalities?  List ALL that apply!

y> -x + 1

y> 1/3 x - 3

(3,1)      (1,0)     (3,-2)     (4,2)    (1,2)

What are:  (3,1), (4,2), and (1,2)?

400

Given:   sqrt245r 

Which of the following is in simplest form?

 3sqrt6r              6sqrt5r       

 4rsqrt3         7sqrt5r 

What is 

7sqrt5r

500

Simplify.  Your answer should contain only positive exponents.

(3mn^-2 2n^-1)/(3m^-1 n^2)

 1/(16n^2m^6          2/(mn^2)         

 1/(n^8 m)           (n^6 m^2)/4      

What is 

2/(mn^2)

Linear Equations AND Identifying and EvaluatingFunctions

100

What is the equation of a line that has a slope of -2 and goes through the point (-4,1)?

What is -2x-7 ?

200

What is the equation of a line that goes through the ordered pair (3,-2) and has a slope of 0?

What is y=-2 ?

300

Evaluate the function below:

 f(x) = x^2+5x-24 ; f(3) 

What is 0 ?

400

Evaluate the function below:

f(x) = (x+3)/(x-3); f(15)

Give your answer in simplest form.

What is 

3/2 ?

500

Which of the following IS a function?

 {(3,-2), (4,-2), (6,1)} 

 {(4,0), (3,-2),(4,5),(0,4)} 

What is 

{(3,-2),(4,-2),(6,1)} ?

Factoring Polynomials and Solving Quadratics

100

What are the roots of this quadratic equation?

a^2-4a+3=0

What are 1 and 3?

{1,3}

200

What are the solutions to this quadratic equation?

n^2-5n-24=0

What are -3 and 8?

{-3,8}

300

Factor Completely:

5x^2+41x-36

Choose ALL that apply:

 (5x+4)  (5x-4) 

 (x-9)  (x+9) 

 5x       9 

What are 

(5x-4)and (x+9)?

400

Factor Completely:

 2k^2+13k-70 

Choose ALL that apply:

 (2k+7)  (2k-7) 

 (7k-8)  (k+5) 

 (k+10)      6 

What are 

(2k-7) and ((k+10)?

500

If a quadratic equation intersects the x-axis at -2 and 5, what are the factors of the quadratic equation?

What are (x+2) and (x-5)?