Algebra 2 + Trig

Simplifying Radicals

100

Simplify the square root of 49.

7

200

Simplify the square root of 196.

14

300

Simplify the square root of 20.

2 radical 5

400

Simplify the square root of 90.

3 radical 10

500

Simplify the square root of 108

6 radical 3

Domain, Range, and Functions

100

In an inequality, what symbol do we use for open circles, infinity, and negative infinity?

< (less than)

200

Is x = y² +1 a function?

no

300

What is the range of the graph y = 3x - 2?

-infinity < y < infinity

(-infinity, infinity)

all real numbers

400

What is the domain of the graph?

-infinity < x < 2

(-infinity, 2)

500

What is the range of the graph?

-3 <= y < 5

[-5, 5)

Evaluating Functions

100

Find f(2) if f(x) = 3x + 1

f(2) = 7

200

Find h(3) if h(x) = 4 - x²

h(3) = -5

300

Find g(2) if g(x) = 2x² - 3x + 7

g(2) = 9

400

Find f(x + 1) if f(x) = 3x - 1

f(x + 1) = 3x + 2

500

Find h(2x) if h(x) = x² +5

h(2x) = 4x² +5

Slope

100

What is the slope of the line y=4x+2?

4

200

What is the slope of a line parallel to the line y=-3x+7?

-3

300

What is the slope of a line perpendicular to the line y=3x-5?

-1/3

400

Find the slope of the line going through the points (-2, 6) and (-2, -7).

undefined

500

Find the slope of the line going through the points (-1, 4) and (1, -2).

-3

Equations of Lines

100

What is the slope-intercept form equation of the line with slope 3 and y-intercept -2?

y = 3x - 2

200

Write the point-slope form equation of the line with slope -2 going through the point (3, 4).

y - 4 = -2(x - 3)

300

What is the standard form equation of the line

y = 2x - 5

-2x + y = -5

or

2x - y = 5

400

Write the slope-intercept form equation of the line

y - 4 = 3(x - 2)

y = 3x - 2

500

What is the standard form equation of the line

y = (2/3)x + 2

-2x + 3y = 6

or

2x - 3y = -6