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Real Number Systems

100

Give an example of a fraction that converts to a repeating decimal. 

example: 1/3 

200

Give an example of a perfect square. 

64, 25, 9 

300

Is -17 rational or irrational? 

Rational

400

Give an example of an integer. 

2, 0, 7, 6 

500

Classify 30/3 as either natural, whole, integer, rational, irrational, or real. Choose the most specific category. 

Natural 

Exponents and Scientific Notation

100

Simplify 

x⁵ * x⁸

x¹³

200

(xy)⁵

x⁵y⁵

300

(x^-3)² * x¹² simplify

1

400

Put 12,560,000 in scientific notation

1.256 * 10⁷

500

Write the following number in standard notation: 3.83 * 10^-4

0.000383

Linear Equations

100

Simplify:

4x-2x-20x+x

-17x

200

Simplify: 

1/2(36+10k) 

18+5k

300

Solve for m: 

7m-17=60 

m=11

400

Solve for x:

12+2x+1=59

x=23

500

Solve for x

4(2x-7)-2x=-10

x=3

Functions

100

Is the following a function:

(-6,7) (-1,4) (2,9) (-6, 11) 

No repeated x 

200

Is the following linear or non-linear:

y=2x+4 

yes; y=mx+b

300

Draw a graph that is linear, and increasing. 

answers vary 

400

Find the slope of the following points (-2,5) and (2,1) 

slope: -1

500

Write an equation in slope intercept form: 

Slope= 7  Point (0,2) 

y=7x+2

Pythagorean Theorem

100

What is the longest side on a right triangle called? 

Hypotenuse. 

200

What is the pythagorean theorem. 

a²+b²=c²

300

Draw a right triangle. Label the legs and hypotenuse. 

answers will vary. 

400

is the following a right triangle? 

28,53, 45 

yes. 

500

Find the length of the 3rd side using pythagorean theorem.  

Leg 1: 12

Leg 2: 20 

Hypotenuse: missing

Hypotenuse: 23.3