1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

  1. a.To solve the equation graphically, let y 1 =
    x^2 – 3x– 3,y 2 = 0. Graph these on the same set
    of axes and identify the points of intersection:


The x-coordinates of the points of intersection
are the solutions of the original equation:
approximately x= –0.791, 3.791.


  1. b.To solve the given equation graphically, let y 1
    =x^2 and y 2 = –2x. Graph these on the same set
    of axes and identify the points of intersection:


The x-coordinates of the points of intersection
are the solutions of the original equation:x=
–2, 0.

y^1

y^2

–5–4–3–2–1 1 2 3 4 5
–2

–4

10

8

6

4

x^2

y^1

–10 –8 –6 –4 –2 2 4 6 8 10 y^2
–2
–4
–6
–8
–10

10
8
6
4
2

ANSWERS & EXPLANATIONS–

652. b.To solve the given equation graphically, let y 1 = 0.20x^2 – 2.20x+ 2,y 2 = 0. Graph these on the same
set of axes and identify the points of intersection:

The x-coordinates of the points of intersection are the solutions of the original equation. We conclude
that the solutions are x= 1, 10.

y^2

y^1
10

8

6

4

2

–2^36912
–9 –6 –3^1518

–4

–6
Free download pdf