Math 3 EOC Review

Absolute Value Functions

100

Solve the inequality to find the range of x values that make the equation true.

4l2x-3l-7 < 5

0 < x < 3

200

If a box of spaghetti can weigh 32 grams with a tolerance of 0.25 grams what is the range a box of spaghetti can weigh?

31.75-32.25 grams

300

Solve the inequality to find the range of x values that make the equation true.

4l2x-5l-9 < -1

1.5 < x < 3.5

400

In the absolute value function

y = |x - h|+k

when it has |x - 3| in the equation... the graph moves...

the graph moves to the right 3 spaces

500

What is the formula when using absolute value word problems

|x - goal| < tolerance

Factor/ Equivalence

100

Factor

2x²-6x-20

2(x+2)(x-5)

200

x³-216x²

x²(x-216)

300

x²-100y²

(x-10y)(x+10y)

400

Which Expression is equivalent to

(x+7)/(x²+4x-21) divided by (x+5)/(x²+8x+15)

(x-3)/(x+3) or (x+3)/(x-3)

(x+3)/(x-3)

500

Factor

3x²+7x-10

(x-1)(3x+10)

Miscellaneous

100

Find the inverse of the following function:

f(x)= 6-x

f^-1(x)=-x+6

200

What is the length of the radius of the circle represented by the equation

x²+y²-4x-4y+4=0

2 Units

300

What is the distance to the nearest hundredth of a unit between the two zeros that are closest to each other

h(x)=4x³-5x²-23x+6

2.25

400

What is the solution to the equation

(2x-3)/(x-1) = (8x+1)/(4x+5)

2.8

500

Which 3D shapes have a parallel cross section of a circle?

Cylinder

Sphere

Cone

Exponents/LogFunctions

100

What is the value of x to the nearest hundreth

2^(5x+1)-4=7

x=.49

200

Find the value of x.

8*4^(2x-1)-1=7

x=1/2

300

Rewrite as a logarithm

5*18^(4x+2)+2=27

log₁₈(5)=4x+2

400

What is the value of x to the nearest ten thousandth?

9^-3x+2=48

0.0794

500

Martha paints a room in 4 hours and Jaime paints the same room in 7 hours.  How long does it take them to paint the room together?

Round to the nearest hundredth.

2.55 hours

Random Trivia

100

How many US state names contain the letter y?

Bonus: Name them.

6: Kentucky, Maryland, New Jersey, New York, Pennsylvania, Wyoming

200

What is the largest animal to have ever lived?

Blue Whale

300

In golf, what is the name for scoring 2 strokes under par?

Eagle

400

Who was the first man in space?

Yuri Gagarin

500

Who is the first playable female video game character?

Bonus: In what year did their game release?

Ms. Pac-man

1982

Note: Technically there's a slightly earlier one named Billie Sue, but you probably would have never heard of that one.