Chapter 7 Review

Exponents

100

(4x⁴y^-3)³

64x¹²/y⁹

200

(3x^-4y⁸z^-5)³

27y²⁴/x¹²z¹⁵

300

(16x⁵y⁸z^-4)/(12x⁴y^-4z^-6)

(4xy¹²z²)/3

400

(18x^-7y⁴z⁶)/(12x^-3y^-2z³)

(3y⁶z³)/(2x⁴)

500

(2x^-3y⁸z⁴)³/(4x^-5y¹²z^-3)

(2y¹²z¹⁵)/(x⁴)

Scientific Notation

100

(2.8x10^-7)(4.6x10³)

1.29x10⁵

200

(6.2x10¹⁰)(4.3x10^-3)

2.67x10⁸

300

(7.5x10^-6)(6.2x10^-5)

4.65x10^-10

400

8.9x10^-6/6.4x10^-3

1.39x10^-3

500

2.1x10^-8/5.3x10^-5

3.96x10^-4

miscellaneous

100

Write the equation that passes through the points (-2,5) and (5,26).

y=3x+11

200

What are the 5 congruent reasons?

AAS, ASA, SAS, SSS, HL

300

Write the equation that passes through the points (2,-6) and (8,3)

y=3/2x-9

400

Joe and his brother, Walter, each have savings accounts. Joe decided to save money before Walter did and has $850 in his account.  He gets paid $75 a day from his job.  His brother Walter has $325 in his account, but gets paid $100 a day from his job.  How many days will it take Walter to have the same amount as him?  How much will that be?  

It'll take 21 days and they'll have $2,425

500

The cost of an adult ticket is $15 and the cost of a child’s ticket is $8.  If the box office knows they sold 5 more than twice as many adult tickets as children’s tickets and they made $1063, how many adult tickets did they sell?  How many children’s tickets did they sell?

Sold 57 adult tickets and 26 children tickets

Solving

100

3(2x+5)+6=4(3x-4)+2

x=35/6

200

(2x+3)²=2x(2x-5)+12

x=3/22

300

(3x-2)²=3x(3x+4)-10

x=7/12

400

(2x-5)²+8=2x(2x+3)-6

x=3/2

500

(4x-1)²-7=4x(4x+3)+13

x=-19/20

Midpoint/Distance

100

What is the midpoint between (-3,5) and (3,7)

(0,6)

200

What is the midpoint between (5,-6) and (9,5)

(7,-0.5)

300

What is the midpoint between (-8,2) and (11,15)

(1.5,8.5)

400

What is the distance between (3,4) and (6,8)

5

500

What is the distance between (-4,5) and (2,10)

square root 61