8th Grade Final Review

Linear Relationships

100

Find slope : W=9,000-250t

-250

200

What is the equation of the line passing through points (-5,11) and (10,8)

y=-1/5x+10

300

Identify slope of the following points (4,-8) and (4,1)

undefined

400

Identify slope and y-intercept of the equation y=2-x/3

slope: -1/3

y-intercept: 2

500

Write the equation of the line perpendicular to y=1-2/3x and contains point (6,-4)

y=3/2x-13

Quadratic Relationships

100

Solve by factoring: 9x-21x²=0

3x(7x-3)

x=0, 3/7

200

Solve by factoring x²+3xy-54y²

(x+9y)(x-6y)

x=-9y, 6y

300

Does the equation have a minimum or maximum point?

y=5x²+3

Minimum point

400

Simplify and name the polynomial:

(p-2)(3p²+p-5)

3p³-5p²-7p+10

Cubic Polynomial with 4 Terms

500

If 3 is a zero of x²-9x+k=0, what is the value of k?

k=18

Geometry

100

What is the length of b of a right triangle when a=16 and c=34?

b=30

200

What is the image if (-2,3) is translated 4 left?

(-6,3)

300

Write the algebraic rule that translates a figure right 15, down 8, and left 6?

(x,y) ---> (x+9,y-8)

400

What is the rule to reflect points over the y-axis?

(x,y) ---> (-x,y)

500

Name a point √61 away from (-3,8)

(2,14)

***There are multiple answers*** 

Exponential Relationships

100

Which is larger 7^-89 or 7^-90?

7^-89

200

Rewrite with an exponent : 3^-3

1/27

300

Write in standard notation: 1.863*10^-6

0.000001863

400

Write without an exponent (-9/5)^-2

25/81

500

What is the original quantity?

y=500*2^x

500 unites 

Solving Multivariable Equations

100

Solve for y:

(x+3y)/(4w)=5z

y=(20wz-x)/3

200

Solve for q

pq-5=t+2-5t

q=(7-4t)/p

300

Simplify with positive exponents:

a³*2a^-6

2/a³

400

Simplify 5m-3(n-10)+4(m-12)

3m-n+10

500

Solve for y

(3-4y)/2=3x=6+y

y=5/3-x