CP Algebra 1 Final Review

Systems of Equations

100

What are three types of ways to solve a system of equations?

Graphing, Subsistution, Elimination

200

If x=2 and 3x+y=5, what is the value of y? 

y = -1

300

If   y=2x+5  and  y=-3x+10 , what is the y value? 

y = 7

400

When solving the system of equations, what expression could be substituted for r in the second equation?   

r = 4 – t 

3r + 2t = 15  

4-t

500

Solve the system of equations.  

y=x+5 

4x-2y=-16

(-3, 2)

Transformations

100

What is a type of transformation?

Answers may vary. 

200

What is changed/added where with a transformation to the right or the left?

Add or subtract number in the exponent.

300

What type of transformation is applied to f(x)=2^x to obtain f(x)=2^-x

Reflection about the y axis

400

If   f(x)=2^x, write a function that is a vertical stretch by a factor of 4?

f(x)=4 * 2^x

500

Write a function that is a shift of f(x)=3^x two units to the right?

3^(x-2)

Quadratics

100

What is the y-intercept y=-3x²+6x-5

y=-5

200

What is the axis of symmetry  y=-3x²+6x-5

x=1

300

Does the equation have a max or min y=-3x²+6x-5?

Maximum

400

What is the vertex y=-3x²+6x-5

(1,-2)

500

What is the domain of y=-3x²+6x-5

(-oo, +oo)

Exponents

100

x⁰

1

200

 x*x^3*x^5 

x^9

300

 x^6/x^3 

x^3

400

 (4k^2)/(8k^5) 

1/(2k^3)

500

(2x²)³(x³)³

8x¹⁵

Factoring

100

(x+5)²

x²+10x+25

200

(3n+2)(3n-2)

9n²-4

300

(x-5)²

x²-10x+25

400

(x+5)(x+2)

x²+7x+10

500

 (p-15)^2=121 

x=26, x=4