Quiz 3.1 and 3.3 Review

Linear/Non Linear Functions

100

For the function f(x) = 2 - x, fill in the following table: 

|  x  |  y  |

   -3  |         

   0   |          

    3  |          

5

2

-1

200

For the function f(x) = x + 6 fill in the following table: 

|  x  |  y  |

   -3  |         

   -2   |          

    3  |          

3

4

9

300

For the function f(x) = 2 - x², fill in the following table: 

|  x  |  y  |

   -4  |         

   0   |          

    2  |          

-14

2

-2

400

For the function f(x) = |2 - x|, fill in the following table: 

|  x  |  y  |

   -3  |         

   0   |          

    3  |          

5

2

1

500

For the function f(x) = -|2 - x²|, fill in the following table: 

|  x  |  y  |

   0  |         

   3   |          

    4  |          

-2

-7

-14

x- and y- intercepts

100

Find the x and y intercepts for the following equation: 

x + 2y = 4

x-intercept = (4,0)

y-intercept = (0,2)

200

Find the x and y intercepts for the following equation: 

3x - 4y = 12

x-intercept = (4,0)

y-intercept = (0,-3)

300

Find the x and y intercepts for the following equation: 

5x - 2y = 10

x-intercept = (2,0)

y-intercept = (0,-5)

400

Find the x and y intercepts for the following equation: 

-6x + 3y = 24

x-intercept = (-4,0)

y-intercept = (0,8)

500

Find the x and y intercepts for the following equation: 

y = -3

x-intercept = none

y-intercept = (0,-3)

Rate of Change

100

What is the formula for rate of change? 

rate of change = (change in y) / (change in x) 

200

What is the rate of change for the following table:

x |  5  |  10  |  15  |  20 |

y |  2  |  3    |  4    |  5   |

rate of change = 1/5

300

What is the rate of change for the following table: 

x|   1   |  2  |  3  |   4  |

y|  15  |  9  |  3  |  -3  |

rate of change = -6

400

Find the rate of change of the following table: 

x|  4  |  2  |  0  |  -2  |  -4  |

y| -1  |  1  |  3  |   5  |   7  |

rate of change = -1

500

Find the rate of change of the following table: 

x| 1 | 3 | 5 | 7 |

y| 3 | 3 | 3 | 3 |

rate of change = 0

Slope

100

What are the two formulas for slope?

slope = rise/run AND m = (y₂-y₁)/(x₂-x₁) 

200

What is the slope of a horizontal line? 

slope = 0 

300

Find the slope of the line that passes through (5,3) and (6,9)

m = 6

400

Find the slope of the line that passes through (2,3) and (1,8) 

m = -5

500

Find the slope of the line that passes through (2,10) and (4,-2)

m = -6

Review

100

Solve the following: 

(3 - 5)² - 3 + 6

7

200

Convert this verbal expression into an algebraic expression: 

seven times a number is less than fifteen

15 - 7x

300

Solve: 

-3x + 5 = -10

x = 5

400

Solve: 

2x + 3 = 5x - 2

x = 5/-3

500

3(-4x - 2) + 7 < 13

x > -1