Algebra 2 Unit 1 Review: Misc. Practice

Solve the system of equations: x + y = 0 3x + 2y = 1

(1, -1)

Solve the system of equations: 6x + 8y - 6z = 62 10x - 12y - 14z = 14 12x - 8y + 20z = -68

(2, 4, -3)

The cost of renting a bounce house includes a $50 deposit and a per person cost of $3. Describe this as a function and find the cost for 14 people. How many people paid if the cost was $107?

C(x) = 3x + 50; $92; 19 people

How do you find the y-intercept?

Look for the ordered pair on the y-axis or plug 0 into the equation for x and solve for y.

How do you find the x-intercept?

Look for the ordered pair(s) on the x-axis or plug 0 into the equation for y (also f(x)) and solve for x.

f(x) = -|x - 5| - 6; describe transformation

Reflection over the x-axis, right 5, down 6

What does symmetric over the y-axis mean?

The graph is a mirror image of itself on either side of the y-axis.

What makes two lines perpendicular?

They have opposite reciprocal slopes.

What makes two lines parallel?

They have the same slopes.

f(x) = 0.5x - 5; describe transformation

Vertical shrink 0.5, down 5

f(x) = -2x + 4; describe transformation

Vertical stretch 2, Reflection over the x-axis, up 4

f(x) = 3|x + 7| + 10

Vertical stretch 3, left 7, up 10

Write the equation of a line parallel to y = 3x - 4 through (5,1)

y - 1 = 3(x - 5) OR y = 3x = 14

Write the equation of a line perpendicular to y = -2x + 5 through (-1,4)

y - 4 = .5(x + 1) OR y = .5x + 4.5

Given (3,-4) and (2,6) find point slope equation

y - 6 = -10(x - 2) OR y + 4 = -10(x - 3)

Using technology, find the line of best fit for: ticket price (x): 17, 20, 22, 26 tickets sold (y): 450, 423, 400, 395 Then predict the number of tickets sold when the ticket price is $30 and determine what price tickets should be in order to sell 410.

y = -6.2x + 549; $363; $22.42

Change 6x - 3y = 15 into slope-intercept form

y = 2x - 5

Which equation is a function, x = 3 or y = 3?

y = 3 is a function, x = 3 is a vertical line (fails vertical line test)