y9 review for term 1 test

irrational numbers

100

Is sqrt(33) rational or irrational?

irrational

200

Is sqrt(25) rational or irrational?

rational

300

Is 11/34 rational or irrational?

rational

400

what is an irrational number between 7 and 8?

square root of 50 to square root of 63

500

what are 2 irrational numbers with a sum of 3?

various answers would work

standard form

100

is this number in standard form? 23.4001

no

200

write this in standard form 260,000

2.6 * 10⁵

300

write this number in full form 4.32*10⁴

43,200

400

write this number in full form 5.27*10^-3

0.00527

500

write this in standard form 0.000045

4.5*10^-5

exponents

100

write these as a single power: 6³*6⁴

6⁷

200

write these as a single power: 4^-2/4⁵

4^-7

300

simplify (x²)⁴

x⁸

400

simplify (3x³)²

9x⁶

500

simplify 15x¹⁵/5x⁵

3x¹⁰

expressions

100

expand the brackets and simplify (3x + 1)(x - 2)

3x² - 5x - 2

200

simplify the fractions (4x/3)+(5x/3)

3x

300

make x the subject:

y = 6x - 2

x = 1/6y + 1/3

400

A rectangle has sides of length (x+3) and (6x).

write an expression in simplest form for the area of the rectangle

6x² + 18x

500

a rectangle has sides of (4x-2) and (3x). 

write an expression in simplest form for the perimeter of the rectangle

2x-4

percentages and rounding

100

what is 65 decreased by 70%?

19.5

200

what is 24 increased by 10%, then decreased by 30%?

18.48

300

what is 75 decreased by 50%, then increased by 20%?

45

400

a shirt costs $120, rounded to the nearest $10. What are the lower and upper bounds of what the exact price could be?

$115 to $124.99

500

A house costs $230,00 rounded to the nearest thousand. What are the lower and upper bounds of what the exact price could be?

$229,500 to $230,449.99