Unit 4 and 5 Jeopardy

Nonproportional Linear Relationships

100

For the linear function g(x) = 5x - 2 identify the slope and the y-intercept

slope is 5 and y-intercept is -2

200

For the function f(x) = -5x + 2 evaluate the function at x = -2.5

14.5

300

Which of the following represents the average rate of change of the function f(x) = (4/5)x + 2 over the interval 1 < x < 5

4/5

400

What is the equation of a line whose slope is 3 and which passes through the point (3, 10)

y = 3x + 1

500

Define a proportional relationship between x and y

The variables x and y are proportional if y/x = k or y = kx. Or, if one variable is always a constant multiple of the other

Writing Equations in y =mx +b form

100

What is the slope intercept form of a linear equation? 

y = mx + b

200

Rewrite in y = mx + b form

-2x + y = 1

y = 2x + 1

300

Rewrite in y = mx + b

3y - 2x = 9

y = (2/3)x + 3

400

Write an equation for the line that passes through the points (1, 1) and (3, 5)

y = 2x - 1

500

Write an equation that goes through the points (-4, 2) and (1, -5)

y = (-7/5)x - (18/5)

Systems of Equations and Graphing

100

The solution to a system of equations is a ______________

point (where they intersect)

200

Is (2,1) a solution to the system of equations?

x + y = 3

2y = 3x - 4

Yes

300

Is (-2, 1) a solution to the system of equations?

x - 2y = 4

3x + y = 5

No

400

Is (-2, -5) a solution to the system of equations?

4x - y = 3

y = (1/2) x + 4 

No

500

Is (20, 52) a solution to the system of equations below?

y = 0.75x + 37

y = 1.5x + 22

yes

Substitution Method

100

2x - 3y = -1

y = x - 1

(4, 3)

200

y = 5x - 7

-3x - 2y = -12

(2,3)

300

y = 6x - 11

-2x - 3y = -7

(2, 1)

400

-4x + y = 6

-5x - y = 21

(-3, -6)

500

2x + y = 20

6x - 5y = 12

(7, 6)

Elimination Method

100

x - y = 11

2x + y = 19

(10, -1)

200

-6x + 6y = 6

-6x + 3y = -12

(5,6)

300

7x - 14y = -21

-4x + 7y = 6

(9,6)

400

-4x - 4y = 24

7x + 3y = -18

(0, -6)

500

10x + 10y = 2

4x + 4y = 4

No solution