worksheets2 - (a y = x and y = 3-x(b y = 2 x and 2 x y = 12...

Algebra Review to Accompany Chapter 3
Problem 1
Solve the equation
(a) 2 x - 5 = 4 x - 9
(b) 0 . 5 x - 3 = 7
(c)
5
3
( y + 2) =
1
2
- y
(d) 3 t -
2( t - 1)
3
= 4
(e) 2( r + 5) - 3 = 3( r - 8) + 21
(f) B - 4[ B - 3(1 - B )] = 42
(g) 1 . 06 s - 0 . 01(248 . 4 - s ) = 22 . 67 s
Problem 2
Solve for the indicated variable.
(a) l = l
0
+
k
2
w , for w .
(b) h = v
0
t +
1
2
at
2
, for a .
(c) by - d = ay + c , for y .
(d) S =
rL - a
r - 1
, for r .
(e) 2 x - ( xy
0
+ yy
0
) + 2 yy
0
= 0, for y
0
Problem 3
Solve the systems of equations
(a)
±
x + y = 3
x - y = 5
(b)
±
3 x - 2 y = 6
y = 2 x - 5
(c)
±
2 x + 3 y = 7
y = -
3
5
x + 6
(d)
±
2( x + y ) = 3
x = y + 3( x - 5)
Problem 4
Graph the functions and find the points of intersection