Final Exam Review!

​o: Final Exam Review :o

​This will go a little differently than the usual Quizizz route...

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​I have made a compilation of good example problems of the various topics that Math 10 has covered thus far...

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​They have pulled out of the midterms/warmups/quizzes/exit slips...

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​...and we will go over them together so that we all know how to approach them on the final exam!

​First, let's do a couple quick solving equation problems:

Multiple Choice

Solve for x: $$\frac{1}{3}x+\frac{1}{5}y=\frac{6}{5}y-5$$  

• x=3y-15

• y=3x-15

• $$x=\frac{1}{3}y$$  

• $$x=3y+15$$  

Multiple Choice

If y=2, solve for x: $$-\frac{5}{3}x+y=\frac{2}{3}$$  

• x=5

• x=4

• $$x=\frac{4}{5}$$  

• $$x=\frac{5}{4}$$  

​Let's review LINES...

and systems of LINEAR equations

and systems of LINEAR inequalities...

​Find the equation of the line that passes through (1,2) and (5,1/2)

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​Graph the equation 2x+2y=12

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Multiple Choice

If the slope of a line is 5, what is the slope of a line of the line that is parallel to it?

• 5

• $$\frac{1}{5}$$  

• $$-\frac{1}{5}$$  

• -5

Multiple Choice

If the slope of a line is 1/2, what is the slope of a line that is perpendicular to it?

• $$\frac{1}{2}$$  

• 2

• $$-2$$  

• $$-\frac{1}{2}$$  

​Note: graphing regular linear equations is almost the same thing...but the solution is the intersection point

​Here, the solution SET is the shaded area

​Next up: Compound Inequalities

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​Represent all solutions for these inequalities in the three different ways:

​FACTOR factor FaCtOr:

​Finally, let's talk about FUNCTIONS:

​-regular

​-exponential

​-logarithmic

Multiple Choice

If $$f\left(x\right)=x^2-3$$  , what is f(0) and f(-1)?

• -3 and -2

• 0 and 1

• -3 and 2

• 0 and -2

Multiple Choice

Solve for x: $$\log_8\left(4\right)=2x+3$$  

• $$x=7$$  

• $$x=-\frac{7}{6}$$  

• $$x=\frac{6}{7}$$  

• $$x=\frac{7}{6}$$  

Multiple Choice

Solve for x: $$2^x=12$$  

• x=2

• $$x=\log_2\left(12\right)$$  

• $$x=\log_{12}\left(2\right)$$  

• $$x=12$$