Spring Final Review

Solving and Simplifying

100

Solve the equation

2x+4=20

x=8

200

Simplify the expression

5(x-4)-2(2x+6)

x-32

300

Solve this equation

4x+10=2x-20

x=-15

400

Solve for h

A=1/2bh

h=2a/b

500

Solve this literal equation 

|x-3|=9

x=12

x=-6

Linear Forms and Slope

100

Find the slope of a line that crosses through points (0,-2) and (3,4)

m=2

200

Write an equation for a line that passes through the point (2,5) and has a slope of 12.

y-5=12(x-2)

300

Rewrite the following equation from standard form to slope-intercept form:

2x+y=12

y=-2x+12

400

Find the y-intercept of the equation 

y-4=2(x+8)

(0,20)

500

You bought $25.40 worth of candy for your teachers for Christmas. A package of Hershey’s minis is $2.98 and a package of Reese’s trees is $3.50. Write an equation to represent how many packages of each kind of candy you purchased. *Define your variables*

2.98h+3.50r=25.40

h=Hersheys

r=Reases

Miscellaneous

100

What is DOMAIN

a. all possible x-values

b. all possible y-values

c. where the line crosses the x-axis

d. where the line crosses the y-axis

Domain: 

A. All possible X-values

200

For an absolute value function, if the graph opens UP (it has a valley) does it have an absolute minimum or an absolute maximum? 

Absolute Minimum 

300

What two things does a graph have to have to be direct variation?

A straight line (constant rate of change)

Goes through the origin (0,0)

400

Evaluate f(5) for the function f(x)=8x-2

x=38

500

Simplify using exponent rules

x²(x⁴)

x⁶

Systems of Equations

100

How many solutions would these equations have?

y=2x+4

y=2x+4

Infinite 

200

For two lines to be parallel, what do the equations need to look like? (ex. same or different slopes? same or different y-intercepts?)

Same slope, different y-intercepts

300

Solve the system of equations using any method 

x+3y=18

-x-4y=-25

(-3,7)

400

Find the solution to the system using any method 

-3x+15y=24

3x+7y=-2

(-3,1)

500

How many solutions will the following system have?

2x+2y=160

x+y=45

No Solution

Inequalities and Systems

100

For the inequality y>-2x+30,

Would the line be solid or dashed?

Dashed 

200

Solve -2x+5>25

x>-10

300

For the inequality y<-2x+3, 

is (0,0) a solution?

Yes! (0<3 is true!)

400

Solve and graph the following inequality 

3x+4<25

x<7

Open Circle going left 

500

Which is a solution to the following system of linear inequalities? *Use desmos to graph or solve algebraically*

y>2x+3                 y<-1/2x+5

A. (0,0)  B.  (2,8)   C. (-6,0)

C. (-6,0)