Algebra 1 Jeopardy Review

Linear Functions

100

What is the slope of the following graph?

m = 2/5

200

What is the equation for a linear function? 

Label the components. 

y = mx + b

m = slope

b = y-intercept/starting value

300

What is the equation for the following graph?

y = 2/5x + 1

400

What is the equation for the following graph

y = -3/2x - 5

500

Create a graph and table for the following equation:

y = -1/3x + 2

Check Graph

Exponential Functions

100

Sketch what an increasing and decreasing exponential function look like. Sketch 2 graphs and label them. 

Show Sketchs

200

If an exponential function is increasing, what do you know about the multiplier? What about decreasing?

Increasing: Multiplier is greater than 1

Decreasing: Multiplier is less than 1 and greater than 0 (Think decimal or fraction)

300

What is the equation of an exponential function? 

Label the components. 

y = ab^x

a = y-intercept/starting value

b = multiplier 

400

Graph the following exponential equation:

y = 2(2)^x

See graph

500

Graph the following exponential equation:

y = 30(1/3)^x

See graph

Quadratic Functions

100

Given the factored form y = (x + 4) (x - 5), what are the x-intercepts of the quadratic?

x = -4

x = 5

200

What is the y-intercept of the following quadratic equation? How can you tell?

y = x² +2x - 8

y-intercept = -8

The "c" of y = ax² + bx + c is the y-intercept. 

300

Show the set up for factoring a quadratic expression given the standard form equation y=ax² + bx + c

See Image

400

Find the x and y intercepts of the following quadratic equation:

y = 2x² - 2x - 12

x = 3

x = -2

y = -12

500

Sketch the graph of the following quadratic by finding  the x and y intercepts. 

y = 3x² + 9x + 6

x = -2

x = -1

y = 6

See graph

Exponent Rules

100

Simplify the following expression:

(xy⁵)(x⁴y³)

x⁵y⁸

200

Simplify the following expression:

x¹⁴/x⁴

x¹⁰

300

Simplify the following expression:

18x⁴/6x⁹

3x^-5 = 3/x⁵

400

Simplify the following expression:

Show Problem

x^1/4

500

Simplify the following expression:

Show Problem

x²

Systems of Equations

100

If you're going to use the Equal Values Method to solve a system of equations, what should the system of equations look like?

Both equations should have "y =" so you can set them equal to each other, hence equal values. 

Ex/ 

y = 2x + 2

y = 4x + 4

200

If you're going to use the Substitution Method to solve a system of equations, what should the system of equations look like?

One of the equations has " y = " so you can easily substitute 

Ex/

y = 4x + 12

5y + 2x = 10

300

If you're going to use the Elimination Method to solve a system of equations, what should the system of equations look like?

Terms of the Equation should be easy to eliminate (zero/cancel out)

Look for Opposites or Terms that can be easily made opposites by multiplication:

Ex/

2x + 12y = 4                     4x + 5y  = 4     

-2x - 4y = 6                       2x + 7y = 5

400

Solve the following System of Equations:

y = -3x + 5

5x - 4y = -3

(1,2)

500

Solve the following System of Equations:

−7x + y = −19

−2x + 3y = −19

(2,-5)