Week 4 Review Jeopardy

Linear equations and functions

100

The standard form of the equation of the line if:

slope = -3/5

y-intercept = 5

What is (-3/5)x + y = 5?

200

The slope-intercept form of the linear equation if:

Slope = -1

Goes through the point (4, -2)

What is y = -x + 6

300

Three forms of linear equations

What is slope-intercept form, point-slope form, and standard form?

400

A line perpendicular to 5x + y = 3

What is y = (1/5)x + 3

*any y-intercept value is fine

500

A line parallel to y = (7/9)x + 10

What is y = (7/9)x +7

*slope needs to be the same, any y-intercept is fine

Systems of linear equations and inequalities

100

In math, this is called:

y=2x +7

8y = 7x + 4

What is a system of equations?

200

Solve this system of two equations:

y = 4x -9

y = x -3

What is x = 2, y = -1

300

The solution of this set of equations solved by elimination is:

8x - 6y = -20

-16x +7y = 30

What is (-1,2)

400

A solution to the system

y < 2x + 1

y >= 10 -x 

What is (10,10)

*Many solutions possible

500

A system of equations with solution (4, -3)

What is x + y = 1, 2x + y = 5

*many solutions! 

Powers, roots and radicals

100

Sqrt(24) simplified

What is 2sqrt(6)?

200

-5sqrt(3) - 3sqrt(3) 

What is -8sqrt(3)

300

7^(4/3) in radical form

What is cuberoot(7)^4

400

1 / (sqrt(3k))^5 in exponential form

What is 3k^(-5/2)

500

simplify 4m^-2 * 2m² * 4m^3/2     

What is 32m^3/2

Exponential and logarithmic functions

100

Log6(36) = 2 in exponential form

What is 6^2 = 36

200

64^(1/2) = 8 in logarithmic form

What is Log64(8) = 1/2

300

log(u^4) / v expanded

What is 4logu - logv

400

A savings account balance is compounded annually. If the interest rate is 2% each year and the current balance is $1,430, what will be the balance 8 years from now.

What is $1.675.67?

500

Iodine-131 is used to find leaks in water pipes. It has a half-life of 8.14 days. Write the exponential decay function for a 200 mg sample.

What is y = 200(1/2)^x/8.14

Sequences and series

100

Determine if the series is arithmetic. If it is, find the common difference.

3, 5, 7, 9

What is yes, d = 2

200

Determine if the series is geometric. If yes, find the common ratio.

1/2, 1/6, 1/18, 1/54

What is yes, r = (1/3)

300

The recursive formula if:

a18 = 3362, a38 = 7362

What is an =an-1 + 200

400

Determine if the geometric series converges or diverges:

a1 = -3, r = 4

What diverges?

500

Determine if the geometric series converges or diverges

a1 = 4

r = -3/4

Converges