Topic 1 Chapter 1 quiz

Factoring

100

Factor 10x+15

5(2x+3)

200

Factor x²+8x+12

(x+6)(x+2)

300

Factor x²+5x-24

(x+8)(x-3)

400

Factor x²-11x+30

(x-5)(x-6)

500

Factor 2x²-18x+16

2(x-8)(x-1)

Characteristics of Quadratics

100

The form used to find x-intercepts.

Factored Form

200

Which form can you find the most characteristics for?

Standard form

300

Find the characteristics of y=-(x-2)(x+4)

Concave down.

x intercepts at (2,0) and (-4,0).

400

Find the characteristics of y=2(x+4)²-3

Concave up.

Vertex at (-4,-3)

Axis of Symmetry at x=-4

500

Find the characteristics of -2x²+4x-10.

Concave down.

axis of symmetry x=1

y intercept at (0,-10)

vertex at (1,-8)

Patterns

100

What are the 3 types of patterns we looked at?

Linear, Quadratic, and Exponential

200

x     y      Find and describe the pattern (type +

1     5      describe what is happening)

2     8.5

3     12

4     15.5

Linear, increasing by 3.5

300

Find and describe the pattern (type +describe what is happening)

x     y      

1     2     

2     8

3     32

4     128

Exponential, multiplying by 4.

400

Find and describe the pattern (type +describe what is happening)

x     y      

1     5      

2     8

3     12

4     17

Quadratic, adding 1 more each time (starting with +3)

500

Find and describe the pattern (type +describe what is happening)

x     y     

1     -3      

2     6

3     -12

4     24

Exponential, multiplying by -2.

Solving for x

100

Solve for x.

4x=9

x = 9/4 or 2.25

200

Solve for x / x-intercepts.

y=(x+3)(2x+2)

x=-3, x=-1

300

Solve for x / x-intercepts.

y=x²-8x-20

x=10, x=-2

400

y=2x²+8x+16

x=-2 twice

500

y=-3x²+x+4

x=-1, x=4/3