Redwood High School. Department of Mathematics
Adv Algebra S1 worksheet #2. SHOW YOUR WORK
Hard worker's name:___________________________________
Solve the system by graphing.
1) 2x + 3y = 33
-2x + 2y = 2
Solve the system by substitution.
4) x - 5y = -40
2x - 5y = -35
4)
7x 5y
+
=4
3
4
5)
5)
5x
- 2y = 21
6
6) 3x + 4y = 9
3x + 4y = 7
6)
7) x + y = 6
x - y = 10
7)
Write an equation in standard form using only integers for
the line described.
8) The line perpendicular to
8)
x = 1 and containing (4,
-5)
2) 3x + 2y = 5
-6x - 4y = 5
9) The line parallel to y = 0
and containing (7, 3)
10) The line with slope -2,
going through (-10, 0)
3)
Solve the system by addition.
11) -7x - 7 = -7y
-5x + 2y = -13
3
1
x- y=5
2
3
5
2
x + y = 12
2
3
12)
3x y
- = -18
2
3
9)
10)
11)
12)
3x 2y
+
= -9
4
9
13)
1
1
x+ y=4
8
4
13)
1
1
x+ y=7
4
2
14) 7x + 8y = -3
14x = -5 - 16y
1
14)
Find the x- and y-intercepts for the equation. Then graph
it.
15) 25y - 5x = -10
16) y -
1
x=4
2
17) -3x - 6y = 18
Solve the problem.
18) An investment is worth $
2674 in 1995. By 1998 it
has grown to $2989. Let V
be the value of the
investment in the year x,
where x = 0 represents
1995. Write a linear
function that models the
value of the investment in
the year x.
19) In 1995, the average
annual salary for
elementary school
teachers was $24, 269. In
2000, the average annual
salary for elementary
school teachers was
$28,148. Let S be the
average annual salary in
the year x, where x = 0
represents the year 1995.
a) Write a linear function
that models the average
annual salary for
elementary school
teachers in terms of year
x.
b) Use this function to
determine the average
annual salary for
elementary school
teachers in 2009.
18)
19)
2
20) During the month of
January 1997, the depth,
d, of snow in inches at the
base of one ski resort
could be approximated by
d = -2t + 64, where t is the
number of days since
December 31st. Estimate
the depth of snow on
January 28th.
20)
21) A vendor has learned
that, by pricing pretzels at
$1.75, sales will reach 118
pretzels per day. Raising
the price to $2.50 will
cause the sales to fall to 85
pretzels per day. The
number of pretzels, N, is a
linear function of the
price, x. Write a linear
function that models the
number of pretzels sold
per day when the price is
x dollars each.
21)
Answer Key
Testname: ADV ALGEBRA TEST S1 1 V2.0
1) {(6, 7)}
2)
3) {(4, 3)}
4) {(5, 9)}
5) {(6, -8)}
6)
7) {(8, -2)}
8) y = -5
9) y = 3
10) 2x + y = -20
11) {(5, 6)}
12) {(-12, 0)}
13)
14)
2
15) 0, - , 2, 0
5
16) (0, 4), (-8, 0)
3
Answer Key
Testname: ADV ALGEBRA TEST S1 1 V2.0
17) (0, -3), (-6, 0)
18) V(x) = 105x + 2674
19) a) S(x) = 775.8x + 24,269
b) $35,130.20
20) 8 inches
21) N(x) = -44x + 195
4