Ms U's Algebra II Test Review

Coordinate Plane

100

Find the distance between the points (1, 6) and (9, 6).

8 units.

200

Find the midpoint of points (1, 6) and (9, 6)

(5, 6)

300

Find the distance between points (2, 4) and (5, 8)

5 units

400

Find the midpoint between points (2, 4) and (5, 8)

(7/2, 6)

500

Find the midpoint between (-4, -6) and (3, 7)

(-1/2, 1/2)

Slope and Y-intercept

100

What is the slope of y = 5x+9?

5

200

What is the y-intercept of y = 4x + 6?

6

300

What is the slope of y = (1/2)x + 10

1/2

400

What is the y-intercept of y = 3x

0

500

What is the slope of y = x + 3

1

Composition

100

If f(x) = -2x + 6 and h(x) = -1, what is f(h(x))

8

200

If f(x) = x² - 6 and h(x) = -x - 7, what is (h∘f)(x)

-x² - 1

300

If g(x) = x + 1 and f(x) = 2t - 3, find g(f(x))

f^-1(x) = 2x-2

400

If g(x) = 2x - 1 and f(x) = 3x + 4, find f(g(x))

6x + 7

Inverses

100

Find the inverse of f(x) = 6x

f^-1(x) = x/6

200

What is the inverse of f(x) = 8x + 7?

f^-1(x) = (x - 7)/8

300

What is the inverse of f(x) = (2 + 10r) / 7

f^-1(x) = (7r - 2) / 10

400

Find the inverse of f(x) = 3m + 9

f^-1(x) = (m - 9)/3

500

Find the inverse of f(x) = (5 + 11q)/2

f^-1(x) = (2q - 5)/11

Inequalities

100

Solve this inequality: s - 8 > -10

s > -2

200

Solve this inequality: 9 > -6 + p

p < 15

300

Solve this inequality: 5 - 6q > -43

q < 8

400

Solve this inequality : 41 > -4a + 5

a > -9

500

Solve this inequality: 6 + p/2 < -6

p < -24