Math 8.2 Jeopardy

Exponent

100

What is x?

2^(x+1)= 32

x is 4.

200

Simplify:

x⁶y^-2/x^-3y²

x⁹

300

Simplify:

x³⁵y⁸⁷z³⁷/x²⁴y¹³z⁸⁷

x¹¹y⁷⁴z^-50

400

What is the answer?

97²-3²=?

The answer is 9400.

500

2^(x²-x)= 4096

x=?

4

Solving For x

100

What is x?

3x+87=x-89

x is -88.

200

What is x?

x²+8x+16=0

x is -4.

300

What is x?

5^2x-1= 125

x is 2.

400

What is x?

x^2x-3= 131,072

x is 10.

500

What is x?

3^2(x+1)=81^(x-2)

x is 5.

Word Problems

100

If 5 pencils cost $2, how much would 12 pencils cost?

It will cost $4.8

200

A car travels 180 miles on 6 gallons of gas. How far can it travel on 15 gallons of gas?

It can travel 450 miles.

300

Emily volunteers at an animal shelter. They have rabbits and guinea pigs. There are 36 animals in total at the shelter, and the ratio of guinea pigs to rabbits is 4:5. How many guinea pigs are at the shelter?

There were 16 guinea pigs at the shelter.

400

There is a rectangle whose length and width are in a ratio of 3:2. If the length of the rectangle is reduced by 8 cm and the width is increased by 2 cm, the area increases by 96 cm² from the half of the original rectangle, what is the length and width of the original rectangle?

Length is 24cm, Width is 16cm.

500

wI Put n chocolates in a box, and when there are (2n+1) boxes with chocolates, I put them in one basket. In this way, 176 chocolates are put in boxes, and when there are 3 baskets, 2 boxes, and 1 chocolate left, then what is the value of x?

n is 5.

Linear Equation

100

What is the basic form of a linear equation?

y=mx+b

200

What is the slope in this equation?

x+2y=5

The slope is -1/2.

300

What is the linear equation that goes through

(3,8) and (5,0)?

y=−4x+20

400

What is the linear equation for a graph that passes through the points (1/2, 3/4) and (5/3, -2/3)?

y=−17/14x+19/14

500

What is the linear equation for a graph that goes through (⅔, ⅕), and (8,10)?

y= 147/110 x - 38/55

Crack The Code

100

What is x?

2, 3, 5, 8, 12, x

x is 17.

200

What is ?

2, 8, 32, 128, 512, 2048, ?

? is 8492.

300

What is x?

4, 6, 10, 14, 16, x

x is 18.

400

A secret 3-digit code is needed to open a safe. The digits in the code are three different numbers between 1 and 9.

Clues:
1. The sum of all three digits is 15.
2. The first digit is twice the third digit.
3. wwThe second digit is one more than the first digit.

What is the three digits?

The three digits are 673.

500

A secret 3-digit code is needed to unlock a vault. The digits in the code are positive integers between 1 and 9.

Clues:

1️⃣ x+y+z=18
2️⃣ 2x−y=4
3️⃣ x+2z=14

What is the 3-digit code?

The 3 digit code is 684.