Algebra S2 Final Review

Unit 1: Absolute Value

200

Evaluate for x = -3

 y = ∣x∣ + 2

y = 5

300

Solve for all values of x:

∣5x∣ = 15

x = 3 or -3

400

solve 3|x+5|=0

x=-5

500

solve 5|x-7| + 4 = 14

x=9 and x=5

Unit 2: Quadratics

200

What is the vertex of y=x²?

(0,0)

300

What is the y-intercept of y=-x²+3x-2?

(0,-2)

400

Find the vertex of y = x² - 4x + 3

(2, -1)

500

What is the standard form equation of a parabola that has a vertex (3,1) and opens upward?

*Hint: there is no vertical stretching

y= x² - 6x + 10

Unit 3: Exponentials

200

is y=2^x exponential growth or decay?

Growth

300

what is the y-intercept of y=3*2^x?

(0,3)

400

in y=a*b^x, what does b represent?

The growth or decay factor

500

A population triples every year. If it starts at 100, write a function.

y=100*3^x

Unit 4: Statistics

200

In a survey of students:

- 60 say they like only pizza

- 40 say they like only burgers

- 25 say they like both

What is the probability a student likes burgers?

65/125 (or 13/25)

300

Write in words what this means:

P(Student is happy | they have finals)

"Probability that a student is happy GIVEN they have finals"

400

A two-way table shows that 30 students own pets, 10 of whom have dogs. What is the simplified probability that a student owns a dog given they own a pet?

1/3

500

What's the equation of a line that goes through the following 2 points: (5, 27) and (10, 47)?

Write it in point-slope AND slope-intercepts forms.

Point-Slope: y - 27 = 4(x - 5) *or* y - 47 = 4(x - 10)

Slope-Intercept: y = 4x + 7