SHW Algebra 1 July Community Event!

Solving equations and Inequalities

100

24x-7=17 

x=1

200

4x−7(2−x)=3x+2

x=2

300

x² + 8x + 15 = 0

x = -3, -5

400

-6x + 50 < 4x - 30

x > 8

500

4x/x² - 25 = 1/5 - x

x = -1

Linear equations and graphs

100

y = 4x + 3

What is the y-intercept and slope of this line?

slope = 4

y-intercept = 3

200

Which ordered pair is a solution of the equation?

 5x-2y=18

A. (5,3)  B. (4,1)  C. Both  D. Neither

B

300

What is the equation for a graph passing through the points (0, 4) and (3, 0)?

y = -4/3x + 4

400

y = 4/3x + 5/6

What is the slope of the line perpendicular to this?

slope = -3/4

500

A) -3x = -2y + 10

B) y = -2/3x + 9

C) y = 3/2x + 6

What lines are parallel? What lines are perpendicular? 3 PAIRS TO BE FOUND!

Parallel: A,C

Perpendicular: A,B and B,C

Exponents and Radicals

100

3⁹/3⁶

3³

200

√27a 

Remove perfect squares from this radical!

3√3a

300

x⁷y⁶/x⁴y¹⁵

FULLY SIMPLIFY!

x³y^-9 = x³/y⁹

400

2x=√(x+3)

x=1

500

4√(4x+9)=3x+8

x=-20/9, x=4

Quadratics

100

u²−5u−14=0

2 SOLUTIONS 

u=-2, u=7

200

z²−16z+61=2z−20

1 SOLUTION 

z=9

300

x² + 15x = -50

2 SOLUTIONS

x=-10

x=-5

400

9u²−16=0

2 SOLUTIONS

u=4/3, u=-4/3

500

2x² - 8x + 6 = 0

2 SOLUTIONS

x=3, x=1

Functions

100

f(x) = 3x + 2

f(5) = 

17

200

f(x) = 3x² + 6x + 9

f(0) =

9

300

f(x) = 5x + 3 

g(x) = 2x + 7

f(g(3)) = 

68

400

Two functions are given below. How many solutions does the system have?

f(x) = 3x + 2 

f(x) = 5x - 4 

1

500

f(x) = 4x - 8

a). What is f^-1(x)

b). What is f^-1(3)

a). 4y = x + 8 -> f^-1(x) = 1/4x + 2

b). 11/4