Topic 6 Cumulative Test Review

Mystery!

100

Which relation is a function?

A)  (-2, 1), (1, 2), (-1, 1), (-2, -1)

B)  (1, -3), (-3, 1), (0, -3), (-3, -27)

C)  (1, 2), (3, 2), (5, -3), (6, -3)

C

200

Simplify:

sqrt 243

81sqrt3

300

Solve:

-2x - 3/4 (24x - 52) = 6

x = 33/20

400

What are the x-intercept and y-intercept of the linear equation?

y- 4=3/4 (x-2)

(0, 5/2)

(-10/3, 0)

500

Solve:

|x-9| - 5 = -1

x = 13 or 5

Recursively explicit? Or explicitly recursive?

100

Write a recursive formula and the simplified explicit formula for the following sequence:

-18, -22, -26, -30, -34,...

a_1 = -18

a_n = a_(n-1) - 4

a_n = -14 - 4n

200

Write an recursive formula given the explicit formula, and identify the first term.

a_{_n} = 8 + 20n

a_₁ = 28, a__n = a_{_(n-1)} +20

300

Write the simplified explicit formula given the recursive formula:

a_{_n} = a_{_(n-1)} + 8; a_{_1} = 16

a_{_n} = 8 + 8n

400

Write an explicit formula for the sequence:

3, 3.6, 4.32, 5.184,...

a_n = 3(1.2)^^(n-1)

500

Write the recursive formula for the sequence:

9, 9.9, 10.89, 11.979, ...

a_1 = 9

a_n = 1.1(a_{_(n-1)})

Solving Linear Systems

100

Solve:

x - 2y = 0

5x + 6y = -16

(-2, -1)

200

Solve:

-4x + 2y = -13

9x - 2y = -17

(-6, -18.5)

300

One line contains (-2, 2) and (2, 0).  On the same graph, another line contains (-6, -2) and (-2, 4).  What is the solution?

(-3, 2.5)

400

Solve:

y = 4x + 6 

y = 3x + 12

(6, 30)

500

Bill and Carole went to the Scottsdale Bakery.  Bill bought 6 eclairs and 14 donuts for $24.96.  Carole bought 12 of each for $25.92.  What is the price of each eclair and each donut?

Each eclair is $.66.

Each donut is $1.50.

Identifying linear equations and their relatives

100

The graphs of 3x + 6y = 18 and y = mx + 6 are parallel.  What is the value of m?

-1/2

200

Write an equation in standard form which passes through the points 

(4, 0) and (0, -2).

x - 2y = 4

300

Rewrite the following equation to solve for x:

y = -3/4 x - 12

x = -4/3 y - 16

400

A line passes through the points A(n, 6) and B(3, 7) and is parallel to y = 2x + 5.  What is the value of n?

2.5

500

Find the equation of a line perpendicular to the given line passing through the point (-1, 4).  

2x - y = -6

y = -1/2 x + 7/2

Inequality Paradise

100

-x < -4

Is the circle open or shaded?  Is the line of solutions pointing left or right?

Shaded; right

200

The graph on the number line resembles a dumbbell with an open circle over -6 and a closed (shaded) circle over -2.  Write the inequality to represent this graph.

-6 < x < -2

300

Solve.

-3x > - 6 or 5x < -5

x < 2 or x < -1, which means x < 2 is the answer!

400

Solve.

-5 < -3x - 2 < 4

-2 < x < 1

500

Solve. 

-5 - 3/4 y < -17

y > 16