8th-grade math jeopardy

word problems

100

if 4 times a number is decreased by 20, the result is 20 less than 6 times the number. find the number.

x=0

200

Samuel, Jacob, and Lynn are siblings, Samuel is 10 years older than Jacob and 1/2 the age of Lynn. if their combined age is 46 how old is each one. 

jacob= 4 years old

samuel= 14 years old

lynn= 28 years old

300

charlie has $4.85 in coins. if he has 6 more nickels than dimes and twice as many quarters as dimes, how many coins of each type does he have?

13 nickels

7 dimes

14 quarters

400

the length of a rectangle is twice the width if the length is increased by 6, and the width is doubled, a new rectangle is formed whose perimeter is 20 more than the perimeter of the original rectangle. find the dimensions of the original rectangle. 

width= 4 units 

length= 8 units

500

find 3 consecutive even integers such that 60 decreased by twice the middle integer is 22 less than the smallest integer.

26,28,30

functions

100

given h(x)=3x-1 find h(2)

5

200

what is the range of the relation y=2x²+5x If the domain is the set {-2,0,1,2}

{-2,0,7,8}

300

given h(x)=3x-1 find h(a+3)

3a+8

400

find the domain and range for the function f(x)radical2x+4

domain=x> or =-2

range=y> or = 0

500

graph the system of inequalities: y>or=2x+3 and y+x>0

point of intersection: (-1,1)

quadratics

100

write  y=-x²-6x-29 in vertex form by completing the square, then state the vertex.

y=-1(x+3)-20

vertex=(-3,-20)

200

solve x²-6x+1=0 using the quadratic formula

3+/-2 radical 2

300

state the vertex of y=5(x+4)²+20 then write the function in standard form

y=5x²+40x+100

vertex= (-4,20)

400

find the zeros of 10x²+x-21 by factoring

x=7/5 

x=3/2

500

charlie tosses a coin off a bridge into the stream below it. the distance in feet. the coin is above water is modeled by the equation y=-16x²+96x+112 where x represents the time in seconds. what is the initial height of the coin?

112ft

solving equations....

100

name the property: 50-50=0

additive inverse property

200

solve for x: -3x+4<10

x>-2

300

-40 radical(24x¹⁰y²z¹⁰)/ -4 radical(3x²y²z¹⁰)

20x⁴z⁴radical 22

400

-3/4 radical 72

-9/2 radical 2

500

3/2x+1/4=13/6x+7/8

x=-16/5

polynomials

100

simplify: 6x+2x²-(11+3x²)

6x-11-x²

200

39a^a/-12a³

-3a⁶

300

find the value of x that makes the statement true: 5^2x+1*5^3x=5³¹

x=6

400

-9x^-6y¹²z/15x⁸yz⁸=

-3y¹¹/5x¹⁴z⁷

500

18x²-57x-21

6x(3x-1)(2x-7)