Integrated 1A Final Exam

Equation of a Line

100

Parallel to y=-²/₃x+5 through the point (-3, -5)

y=-²/₃x -7

200

Parallel to y= -2x + 1 through the point (-1, 4)

y = -2x + 2

300

Perpendicular to y = -¹/₆x + 7 through the point (1, 7)

y = 6x + 1

400

Write the equation of a line passing through (-4, -2) and (-6, -5).

y= ³/₂x + 4

500

Perpendicular to y = -⁴/₃x + 7 through the point (4, 2)

y= ³/₄x - 1

Multiplying Binomials

100

(x + 1)(x - 8)

x² - 7x - 8

200

(3x - 10)(x - 2)

3x² - 16x +20

300

(2x - 10)(3x + 9)

6x² - 12x -90

400

(4x + 3)(4x - 3)

16x² - 9

500

(5x + 2)²

25x² + 20x + 4

Rewriting, Looking Inside, Undoing

100

4(x - 2) = 24

x = 8

200

2√(x - 3) = 8

x= 19

300

(x - 1)² = 9

x = 4 and x = -2

400

√(2x + 5) = 10

x = 47.5

500

^13x/₆ + ^3x/₂ = -²²/₃

x = -2

Laws of Exponents

100

4x^-5

4
_

x⁵

200

(³/₄)^-2

= ¹⁶/₉

300

a³b²(b^-2)³

a³
__
b⁴

400

3x^-4

_____

x^-2y^-3

3y³
_____

x²

500

(3x^-2)⁴

3
__
x⁸

Solving One-Variable Equations

100

-8x - 6 = -5x -27

x = 7

200

4(2x - 5) = -4

x = 2

300

-2(-x +4) - 3x + 2 = -5

x = -1

400

x - (-6.4x +3.2) = x

x = 0.5

500

^x-7/_2x-9 = ⁴/₃

x = 3