Algebra 1 Review Part 1

Solving Equations

100

12x + 4 = 40

x = 3

200

(x - 5)/3 = 8

x = 29

300

3(2x+2) - 4(x-5) = 18

x = -4

400

-5-9x = 3(1-3x)-8

All Real Numbers

500

-4(2x+1) = -8x - 2

No Real Solutions

Solving Inequalities

100

9 + 4x > 21

x > 3

200

(2/3)x - 16 < 25

x < 61.5

300

-200 > -5(y-2)

y > 42

400

-4 < -13(y+1)+4y

y < -1

500

A = (h(a+b))/2 

solve for b

b = 2A/h - a

Identifying Functions

100

Is the given relation a function: {(5, -2), (3, -5), (2, -5, (0, 2), (-1, -3)}

Yes

200

^{What is the Vertical Line Test?}

If a vertical line intersects a graph more than once, it is not a function

300

Is the following a function? A quadratic rotated 90 degrees around its origin.

No

400

Is it a function? y² = 4 - x²

No

500

y - 3 = sqrt(4-x²)

Yes

Correlation and Causation

100

What is the difference between Correlation and Causation?

Correlation is the relationship between 2 data sets while Causation is when one thing directly causes the next.

200

What is correlation and what variable is used to measure its strength?

Describes the relation between 2 sets of data; r

300

Correlation or Causation? Music Lessons and Brain Development 

Correlation 

400

What is the direction and strength when r = 0.9

Strong Positive

500

What is the direction and strength when r = -0.6

Weak Negative

Transformations

100

What is the parent function of a linear function?

f(x) = x

200

What transformations does this show? g(x) = f(x-2)

Horizontal Translation Right 2 units

300

What transformations does this show? g(x) = 2f(x)-3

Vertical Stretch by a factor of 2 and vertical translation down 3 units

400

What transformations does this show? g(x) = f(-2x)

A Horizontal Compression by a factor of 2 and a reflection over the y-axis

500

Which equation has a vertical stretch? g(x) = (1/2)f(x) or g(x) = f(2x)

g(x) = f(2x)