Week 6 Day 2 Jeopardy

Linear Inequalities and Systems of Equations

100

True or false: What must you isolate to solve an equation?

You must isolate the variable you are solving for

200

Solve the following equation: 2(y + 3) – 10 = 6(32 – 3y)

y = 49/5 = 9.8

300

Solve for each variable in the system of equations:

     6x – 5y = 8

     0 = –12x + 2y

x = –1/3    y = –2

400

An unknown number added to 18 is equal to four times that unknown number. What is the unknown number?

15 – x = 12 → x = 5

500

A group of 120 swinhoe’s white-eye birds are dispersed among 2 trees of different sizes. The number of birds on the larger tree is 4 times the number of birds on the smaller tree. How many birds are on the small tree and how many are on the large tree?

24 birds on the small tree

96 birds on the large tree

Exponent Rules and Radicals

100

True or False: Exponent rules can also be applied to expressions containing radicals.

True, because radicals can be rewritten as powers

200

Simplify the expression and leave no negative powers:
x^1/5/x^1/2

1/(x^3/10)

300

Simplify the expression:
(18m¹¹n^-4)/(27m¹⁵n^-7)

(2n³)/(3m⁴)

400

Simplify the expression, leave no negative powers:

(a⁴b^-2/(a^-2b^2/3))^-3/2 

b⁴/a⁹

500

If 5^2m-1=45, what is 5^-m?

1/15

Radical Multiplication and Division

100

True or False: For nonnegative values of a and b,

sqrt(a)*sqrt(b) = sqrt(a*b)

True

200

Simplify the expression:

sqrt(75)−sqrt(12)

3*sqrt(3)

300

Simplify the expression: 

(2sqrt(6))*(3sqrt(15))

18*sqrt(10)

400

Simplify the expression:
3sqrt(24)/(2sqrt(6)) + 4/sqrt(2)

3 + 2sqrt(2)

500

A rectangular garden has an area of 18sqrt(3) square meters and a width of 3sqrt(76) meters. Find the length and perimeter of the garden. Simplify all radicals.

L = 3sqrt(2)
P = 6sqrt(2) + 6sqrt(6)