Units 1-4 Review

Unit 1

100

k/3 - 19 = 26 

What is k = 135? 

200

-6 - 3(2k + 4) = 18

What is k = -6? 

300

3(n-1) = 5n + 3 - 2n

What is no solution? 

400

Solve for d. 

-2(-2 + 2d) > 4(d-1)

 What is d < 1?

500

Determine if the number (-4) is a solution of the inequality. 

2y + 1 > -5

What is no. 

Unit 2

100

Determine if this set is a function or not and explain why. 

(1,6) (2,6) (3,4) (4,5)(6,1) 

What is... Yes it is a function because each input has exactly one output. 

200

What are the other 3 ways of referring to your x-values? 

What are... Input, Independent variable, Domain 

300

What is the equation of the line that passes through (3, 6) and (-5, 6)?

What is y = 6? 

400

Write the equation of the line that passes through the point (-1, 2) and (2,4). 

What is ... y - 2 = 2/3 (x + 1) OR y - 4 = 2/3 (x - 2)?

500

What is the equation of a line that is perpendicular to the line y = 2x + 6 and passes through the point (-1, 4) 

What is y - 4 = -1/2 (x +1)?

Unit 3

100

Graph the system of inequalities: 

y > - 3x + 1 

y < 2x + 4 

Check work. 

200

Graph the systems of equations: 

4x + y = 6

y = -4x - 1

Check work.

300

Johnny wants to buy food for his friends. Each burrito costs $6.50 burritos and each bag of chips cost $2.50. He spends a total of $47.50. He bought 12 items in total. 

Define your variables and set up a system of equations. 

x = # of burritos 

y = # of bags of chips 

6.50x + 2.50y = 47.50 

x + y = 12

400

Solve using substitution 

y = 4 + 3

x = -2y

( -14, 7) 

500

4b = 3a + 7 

-2a + 4b = -3

(-10, -23/4) 

Unit 4

100

Define residual

The distance a point is away from the LOBF. 

200

What two things must you include when describing correlation?

What is... Strength and direction?

300

What does it mean if a point has a negative residual?

What is... The line overestimated the point because the point is below the line. 

400

Name an example of two things that would have a negative correlation.

Answers vary. 

500

What are the three things needed for a linear model to be appropriate?

What is... a linear scatter plot, a residual plot with no pattern, and a correlation coefficient that is strong. 

Miscellaneous

100

How do we write point-slope form, standard form, and slope-intercept form? 

What is...

y - y1 = m (x - x1) 

AX + BY = C

y = mx + b

200

Solve for x. 

1/4x + 1/2 - 1/8 = 4 - x 

x = 2.9 

300

What would be the solution to a systems of equations where the two equations are the same?

What is... all real numbers on the line. 

400

Solve for E.

BR = E/A + K

A(BR - K) = E 

500

Solve for X. 

3² + x² - 10 = 5

What is... +/- 2.