Semester 1 Review 8 Extended

Algebraic Structures

100

(x+2)(x + 3)

x²+5x+6

200

-3(2x - 1)

-6x + 3

300

(2x+4)²

4x²+16x+16

400

5 + 3(2x - 4) - 6(x+1)²

-6x²-6x-13

500

4 - 2(x + 1)³ + x - 8

-2x³-6x²-5x-6

Linear Relationships

100

What is the slope of y=-2x+3

m=-2

-2x not accepted

200

What is the slope and y-intercept of

-4y - 3x = 2?

m=-3/4

y-intercept is -1/2

300

Is the coordinate (1,2) on the line y-x=1?

yes, if you input x=1 into the equation, y=2 making (1,2) a coordinate on the line.

400

Give a horizontal line through the coordinate (3,4).

y=4

500

Give the vertical line through (-1,5)

x=-1

Statistics

100

What is the mean of the data set

1,2,2,5,6

mean is 3.2

200

What is the median of the data set

1,3,2,5,6,3,3,7

1,2,3,3,3,5,6,7

the middle two values are 3 and 3, so the median is 3.

300

If the mean of the data is 3, what is the missing value?

3,4,5,3,1,2,1,3,x

x = 5

400

After 4 tests, Pat’s mean score is 82%.

How much must Pat score in her 5th test if she wants to increase her mean score to 85%?

97%

500

Pets.            Frequency  

(mean pets approx 2.568)

1.                   4

2                  17

3                  10

4                   x

5.                  3

x=3

solving Equations

100

-3x + 4 = 37

x = -11

200

2m - 10 = 6

m = 8

300

x/4 + 6 = -1

x = -28

400

5 - 2x = -13

x = 9

500

x/3 - 7 = -3

x = 12

Solve x^2 equations

100

x² = 36

6, -6

200

x² + 4 = 29

5, -5

300

5x² = 80

4, -4

400

x²/4 = 25

10, -10

500

2x² - 7 = 121

8, -8