Math 112-001 Spring Exam 1

Quadratics

100

Solve by factoring: 

x²+10x+16=0

-2, -8

200

How many real solutions does x²-4x +4=0 have?

1

300

Solve

4x²-36=0

x= -3,+3

400

Solve using any method

2x²+11x -13=0

-13/2, 1

500

Solve and give the REAL solutions 

9x²+24x +16=0

x=-4/3

Other equations

100

Solve 

|x|=7

x= +/- 7

200

Solve the rational equation

3/x=3

1

300

|3x+1|=5

x=-2, 4/3

400

solve

x⁴-8x²+12=0

x= +/-√2, +/-2

500

Solve

x^4/3-12x^2/3 + 35=0

x=+/- 8, +/-27

Inequalities

100

Solve 

x>4

x=(4, ∞)

200

solve -4x≥12

x≤-3

300

Solve -1<2x-7<9

(3,8)

400

(x+1)(x-5)<0

(-1,5)

500

Solve |3x-7|≥10

(−∞,−1]∪[17/3,∞)

Imaginary /Complex #s

100

Find the real and imaginary part of

(6-9i)/3

real: 2

Imaginary: -3i

200

Multiply

(3 +2i)(4-i)

14 + 5i

300

Simplify

(4+3i) + (2-5i²)

11 + 3i

400

Solve and write in a +bi form

x²+10x + 26=0

x= -5+/- i

500

Solve 

(2-5i)/(1 +3i)

What is 

-13/10 -11i/10

Random

100

Solve 

(x-2)² - 9(x-2) +20=0

6,7 😛😛😛😛🔥🔥🔥🔥

200

Write this on a number line

(-∞,-4)U(-4,5)U(5,∞)

BONUS: If this was a function, what would these intervals of values describe

check number line

Domain or Range

300

What is the quadratic equation and 

BONUS an example of a time you should use it

x= +/-b√(b²-4ac)/2a

when the x method doesn't work or any problem if you really don't know how to factor

400

Solve

2x²+11x−13=0

BONUS

if this were a parabola, what would the x values be known as

x=-13/2, 1

"Zeros" of the graph/where the graph touches x-axis/x-intercepts

500

DOUBLE JEOPARDY: 

A ball is thrown upward from the ground with height given by
h(t)=−16t²+32t
When does the ball hit the ground again? (in seconds)

2 seconds