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Algebra Probe E-1
Page 1
Evaluate a2 – b ÷ 2 when
a = 4 and b = 6
Solve:
3x + 4 = 19
x=
Which line on the graph is
y + 2x = 4 ?
A
Simplify:
3(m + 2) + 2(m – 1)
B
C
D
a)
b)
c)
d)
8
22
15
5
a) 1
b) 5
c) 10
d) 13
Evaluate the expression:
6
Solve the linear system:
x–y=4
x + 2y = 19
2
a)
b)
c)
d)
Line A
Line B
Line C
Line D
This graph shows the solution for
which equation?
-8 -6 -4 -2 0
a) – 36
c)
1
12
OSEP Award# H324C030060
b)
1
36
d) – 12
a)
b)
c)
d)
(– 1, – 5)
(5, 8)
(– 2, 19)
(9, 5)
a)
b)
c)
d)
a)
b)
c)
d)
x>–3
2x  – 6
– 3x > 9
3x  9
5m + 4
5m + 1
6m + 8
6m – 8
Write the equation in slopeintercept form if m =
1
and b = 3
2
2 4 6 8
a) y = 2x + 3
c) x =
1
y–3
2
b) y = 3x +
d) y =
1
2
1
x+3
2
© 2007, Project AAIMS, Iowa State University
Algebra Probe E-1
Page 2
Evaluate d + 3e2 when
d = 5 and e = 2
a)
b)
c)
d)
a) –
11
23
17
10
ab 3
10
3
b) – 2
c) 2
d) 6
Simplify the expression:
a2
Solve:
6c + 4 = – 3c – 14
c=

b4
Solve the linear system:
– 6x + 3y = – 6
2x + 6y = 30
Find the slope of a line through
(1, – 1) (5, 2)
a)
1
5
c) – 6
b)
3
4
d) –
4
3
Simplify:
b2 – 4b + 2b2 + 7 – 5
Simplify:
6(2b – 3) – 3(2 – b)
a)
b)
c)
d)
15b – 24
9b – 9
9b + 12
15b + 12
Write the equation of a line through
(5, 3) (4, 9). Use point-slope form.
a3
a)
a8
a 3b3
b)
ab8
a 4b3
d)
b
a2
d)
b
a
OSEP Award# H324C030060
a)
b)
c)
d)
(6, 3)
(3, 4)
(2, 6)
(4, – 3)
a)
b)
c)
d)
3b2 – 4b + 2
2b +2
– b2 – 4b + 12
3b2 – 4b + 12
a)
b)
c)
d)
y + 1 = 2(x – 4)
y + 4 = – 6(x – 1)
y – 3 = – 6(x – 5)
y = – 6x + 30
© 2007, Project AAIMS, Iowa State University
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