Midterm Review

Equations & Inequalities

100

Solve:

⁴⁄₉(⅜x - ²⁷⁄₁₆)=¹³⁄₄ 

x=24

200

Solve for b:

9a=¹²ᵃ⁺³ᵇ⁄₄

b=8a

300

Solve:

-2(7+y)≥ -8(y+1)

y≥ 1

400

Solve: 

|2+7v|+11=27

v={⁻¹⁸⁄₇,2}

500

Solve:

 |3-9y|≤33

y ≤ 4 and y ≥ ⁻¹⁰⁄₃

Functions

100

Is it a function?

https://docs.google.com/document/d/1K6FouVeJhb7Bp9qIFgxMksmXWjTgpzGk8cEIgosJojs/edit

yes

200

What is the domain and range of the graph?

https://docs.google.com/document/d/1K6FouVeJhb7Bp9qIFgxMksmXWjTgpzGk8cEIgosJojs/edit

domain: (-∞ ,∞ )

range: [2,∞ )

300

What is the domain and range of the graph?

https://docs.google.com/document/d/1K6FouVeJhb7Bp9qIFgxMksmXWjTgpzGk8cEIgosJojs/edit

domain: (-3,1]

range: (-4,0]

400

Evaluate f(-2) for the function f(x)=15x+17

f(-2)=-12

500

Evaluate f(a+4) for the function f(x)=x²-3x+1

f(a+4)= a²+5a+5

Linear Equations

100

Is (-1,3) a solution of 2x+4y<10?

(-1,3) is not a solution of 2x+4y<10

200

Write an equation in slope-intercept form that has a slope of 2 and goes throught the point (2,3).

y=2x+¾

300

Find the slope of the two points:

(17,-13) (17,8)

m=undefined

400

Write the equation of a line that is perpendicular to y=3x-2 and goes through the point (-3,-1).

y=-⅓x-2

500

Write the equation of a line that is parallel to y=-⁸⁄₅x+1 and goes throught the point (5,-4).

y=-⁸⁄₅+4

Piecewise & Absolute Value

100

Find the vertex:

y=3|3x|-1 

(0,-1)

200

Evaluate f(0) for f(x)= {_{2x-1  if x<1}  

                                              ^{-x+3  if x>1}

f(0)=-1

300

Find the vertex:

y=3|2x+4| 

(-2,0)

400

Evaluate f(1) for f(x)= {_{x+2  if x<1}

                                               ^{3x  if x>1}

f(1)= 3

500

Find the vertex:

y=2|3x+3|+3 

(-1,3)

Systems

100

Solve:

16x+6y=24

8x+y=20

(3,-4)

200

Solve:

-5x+5y=-10

-10x+3y=-27

(3,1)

300

Solve:

20x+16y=-24

-10x-8y=12

Infinitly many solutions

400

Solve:

-2x-10y=6

10x+8y=-30

(-3,0)

500

Solve:

9x+8y=-1

18x+16y=2

No solution