Integrated 1 Math

ExponentsSolve & Simplify

100

a³ • a²

a⁵

200

2x³ • 3x⁵

6x⁸

300

4x^-10 • 5x⁶

20/x⁴

400

(20y²x⁵)/(10y³x⁴)

2x/y

500

10yx^-5 • 3yx⁷

30y²x²

Scientific notation

100

325

3.25 x 10²

200

0.00297

2.97 x 10^-3

300

92100613

9.2100613 x 10⁷

400

(2 x 10^-4)(4.5 x 10^-1)

9 x 10^-5

500

(8.5 x 10⁴)/(5 x 10²)

1.7 x 10²

Slopes and Lines

100

Calculate the slope between the following points: (2,1) & (4,5)

The slope is 2.

200

Calculate the slope between the following points: (-2,-1) & (7,8)

The slope is 1.

300

Identify the slope and y-intercept for y = -2x + 5

slope = -2

y-intercept = 5

400

If the y-intercept of a line is -4 and the slope is 6, what is the equation of the line in slope intercept form.

y = 6x - 4

500

With an undefined slope and passing through the point (5,-2), what is the equation of the line?

x = 5

Solving Equations

100

x - 7 = 25

x = 32

200

-108 = 9x

-12 = x

300

2x + 6 =0

x = -3

400

√w - 2= 6 

w = 64

500

7(9 + v) = 84

v = 3

Solving Functions

100

f(x)= 2x - 9

Find f(10)

f(10) = 11

200

f(x) = x² - 1

Determine the input for 

f(x) = 99

x= 10

300

f(x) = |x| - 4

Calculate x = -7

f(-7) = 3

400

f(x) = 5 • 7^x

Calculate x= 2

f(2) = 245

500

f(x) = (x+3)/(2x- 5)

Calculate x= 2

f(2) = -5