Review

Unit 2

100

Find the solution of the system of equations:

              9x+y=-12

              7x+y=-10

-1,-3

200

Solve the system by substitution:

                 y=4x

                y=7x-30

(10,40)

300

                      Solve by substitution 

                               -x+5y=-45

                               y=2x

-5,-10

400

Given f(x)=2x+2, solve for x when f(x)=−4.

-3=x

500

Given h(x)=−x+1, solve for x when h(x)=6.

-5=x

Unit 3

100

A function where the highest exponent is squared is called a ______ function

Quadratic 

200

The _____ is the higest or lowest point of your graph.

Vertex

300

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y) point.

                        y=−x²−16x−57 

(-8,7)

400

Use the quadratic formula to solve. Express your answer in the simplest form.

                     15a²+18a+3= 4a

a={-1/3,  -3/5}

500

Solve the equation for all real solutions in simplest form.

                       4z²−15z+12=0

Radical does not simplify.

Unit 4

100

Find the 81st term of the arithmetic sequence 24, 11, -2, ...

a_{81 =-1016}

200

Find the 13th term of the geometric sequence 7, -21, 63, ...

a_13=3720087

300

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

                       13,26,52,...

                  Find the 6th term

416

400

If a₁=9 and a_n=a_n-1+2 then find the value of a₄

15

500

If (1)=4 and f(n) =f(n-1)-5 then find the value of f(4).

-11

Unit 5

100

Given the function f(x)=−x²−7x+20, determine the average rate of change of the function over the interval 8≤x≤0.

1

200

Is this function linear or exponential? 

x         y

-1       1

0       -1

1       -3

2       -5

3       -7

Linear 

300

Look at this table: 

x           y                  

-9         19

-8          16

-7          13

-6          10

-5           7

Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.

y=

Since m=–3 and b=–8, the function is y=–3x–8.

400

Is this function linear, quadratic, or exponential? 

x        y

5       25

6       36

7       49

8       64

9       81

Quadratic Function

500

Given the function f(x)=−x²−7x+20, determine the average rate of change of the function over the interval −8≤x≤0.

1

Unit 6

100

Find the median and mean of the data set below: 

                28,39,2,39,17,20,16

The Median is 20

The Mean is 23

200

Median is the...?

The middle number in a sorted list of numbers.

300

In the data set below, what is the mean absolute deviation? 

2,4,4,3,3,5

If the answer is a decimal, round it to the nearest tenth.

mean absolute deviation (MAD):

MAD, is 0.8.

400

In the data set below, what is the variance?

2,4,4,5,8,5,7

If the answer is a decimal, round it to the nearest tenth.

variance (σ2):

 the variance, σ2, is 3.4.

500

In the data set below, what is the variance?

   7,5,9,3,5

 If the answer is a decimal, round it to the nearest tenth.
variance (σ2): 

the variance, σ2, is 4.2.