Mini Unit - Algebra

Direct Variation

100

If x = 4 and y = 36, find the value of y when x = 27

243

200

If x = 12 and y = 3, find the value of y when x = 36

9

300

If x = 54 and y = 9, find the value of x when y = 12

72

400

If a pizza with a 6 inch radius cost $18.00, how much would a pizza with a 11 inch radius cost?

$33.00

500

If a fox can cover 7 miles in 12 minutes, how long would it take him to cover 210 miles?

360 minutes

Arithmetic Sequences

100

Find the common difference: 8, 3, -2, -7

-5

200

Find the common difference: -21, 9, 39, 69

30

300

Find the nth term (create a formula): 1, 3, 5, 7, 9

2n - 1

400

Find the nth term (create a formula): 2, 6, 10, 14

4n - 2

500

Find the 15th term of the arithmetic sequence: -3, 4, 11, 18

95

Parallel Lines

100

Find the slope of a line parallel to y = 2x +4

2

200

Find the slope of a line parallel to 3x + 4y = −8

-3/4

300

Find a line that passes through (4, −3) and is parallel to y = −2x

y = -2x + 5

400

Find a line that passes through (2, 3) and is parallel to y = 5/2x - 1

y = 5/2x - 2

500

Find a line that passes through (-5, -4) and is parallel to y =3/5x - 2

y = 3/5x - 1

Perpendicular Lines

100

Find the slope of a line perpendicular to y = -1/3 x

3 or 3/1

200

Find the slope of a line perpendicular to x − 3y = −6

-3

300

Find a line that passes through (4, −3) and is perpendicular to −x + 2y = −6

y = -2x + 5

400

Find a line that passes through (5, −1) and is perpendicular to −5x + 2y = 10

y = -2/5x + 1

500

Find a line that passes through (−2, 5) and is perpendicular to −x + y = −2

y = -x + 3

Inverse Functions

100

Find the inverse of each relation (5, -4) (-3, -2) (-8, 7)

(-4, 5) (-2, -3) (7, -8)

200

Find the inverse of each relation (0, -5) (-6, -7) (-3, 1)

(-5, 0) (-7, -6) (1, -3)

300

Find the inverse of the function f(x) = 6/5x - 3

5/6 (x + 3) or 5/6x + 15/6

400

Find the inverse of the function x + 5y = 12

-5x + 12

500

Find the inverse of the function -4y - 3x = 15 + 2y

-2x - 5