9th Grade Algebra

Basic

100

Find the product

(k-2)(k+5)

k² + 3k - 10

200

Factor

8ab²-12ab

4ab(2b-3)

300

AUDIENCE QUESTION

Jack has a reading list of 12 books. How many ways can he select 9 books from the list to check out of the library?

220

400

A photo that is 4 inches wide by 6 inches long must be reduced to fit in a space 3 inches wide. How long will the reduced photo be?

4.5 inches

500

The walls of a recreation center are being covered with paneling. A doorway is 0.9 meter wide and 2.5 meters high. What is the length of the widest rectangular panel that can be taken through this doorway?

about 2.66m

Equations and Inequalities

100

Solve

-3(a-3) + 2(3a-2)=14

a=3

200

Solve

4 la-6l =16

(2,10)

300

AUDIENCE QUESTION

Simplify

4x - 3y + 7x +5y

11x + 2y

400

-5 < 4x+3< 19

-2< x <4

500

Carson has $35 to spend at the water park. The admission price is $25 and each soda s $2.50. Write an inequality to show how many sodas he can buy?

35>and equal 25 + 2.50s

Linear Relations and Functions

100

Find the value of f(2w) if f(x)=-3x+2

-6w + 2

200

Write the slope-intercept form for the line that passes through (-3,5) and is perpendicular to

y=2/3x-8?

y=-3/2x +1/2

300

What transformation is shown in the equation

y=x² + 5

translation

400

AUDIENCE QUESTION

What is the slope of (2,5) and (6,-3)?

-2

500

Given y=2.24x + 16.45, which statement best describes the effect of decreasing the y-intercept by 20.25?

The x-intercept increases

Systems of Equations and Inequalities

100

Solve the systems

3x + 4y = 8

x - 3y= -6

(0,2)

200

Solve the systems

a - 4b + c = 3

b - 3c = 10

3b - 8c = 24

(-23, -8, -6)

300

AUDIENCE QUESTION

What is the determinant for

3   -7

2    6

32

400

Perform the operation

-2   0      +      1    9

6    8              -3   -4

-1    9

 3     4

500

Solve the matrices

-3  0  2    x     8   -1

6  -1  5          -4   3

                     6    7

-12    17

 82     26

Fun Math

100

AUDIENCE QUESTION

I am the smallest positive integer that can be divided completely by 2, 4, 6, 8 and 10. What number am I?

120

200

How many digits does the number 10 to the 100th power have?

101

300

A natural number is doubled when added to its reciprocal. Find that number!

1

400

A kite's diagonal (AC) is 4.5 cm long. The other diagonal (BD) is 3.5 cm longer than the diagonal AC. What is the area of the kite ABCD?

18

500

What is the smallest positive integer that is both a square number and a triangular number (other than 1)?

36