Benchmark Review

The Real Number System

100

Is the following number a repeating or non-repeating decimal: 0.77777777...

repeating decimal

200

Is the following number a natural number or integer: 0

integer

300

Solve and determine if rational or irrational: square root of 16 + 3

7 rational 

400

Solve and determine if rational  or irrational (1/7)+(2/3)

17/21=0.809523809523...

500

Solve and determine if rational or irrational: square root of 2 -1

0.4142135... irrational

Linear Equations

100

4x=16

x=4

200

3x=27

x=9

300

2x+3=9

x=3

400

(x/4)-1=5

x=24

500

3(x+5)-6=90

x=27

Percent Error/Terms and Degrees

100

0.2 percent error

0.05

200

3x⁴-x²+1

Terms=3 Degrees=4

300

3x³

Terms=1 Degrees=3

400

Percent error of a square that is 2 ft by 4 ft?

40.6%

500

What is the percent error for a measurement of 5 miles?

10%

Exponential

100

f(x)=5^x

f(3)=

125

200

f(x)=7^x-3

f(2)=

46

300

f(x)=4^x+6

f(3)=

70

400

If a town with a population of 500 doubles in size every 89 years, what will the population be 178 years from now? Round to the nearest whole number.

2000

500

This year, Winchester recycled 140,000 tons of material. If this amount increases by 6% each year, how much material will be recycled 4 years in the future? Round to the nearest whole number.

239871

Miscellaneous

100

Simplify: squareroot of 16x⁸

4x⁴

200

Factor: x²+2-24

(x+6)(x-4)

300

Write in Vertex Form: y=x²+6x+18

y=(x+3)²+9

400

There are 3 consecutive integers that have a sum of 27. Which integers are they?

8,9,10

500

Solve for y.   

(x-1)/3