1: (2x - 1)2 =
4x2 - 12
4x2 - 36
4x2 - 4x + 1
2x3 - 8x2 - 8x + 11
2: Simplify: 3 + {4y + 2(x2 + y)} + x2
2x2 + 3 + 5y
3x2 + 8y
3x2 + 6y + 3
3x2 + 3 + 5y
3: What is the solution set to this system?
3x + 8y = 4
15x + 10y = -10
(2, -2)
(-3, 1)
(-4/3, 1)
no solution
4: -62 =
36
-12
no real solution
-36
5: Complete the square:
(½)x2 + 2x + 1 = 0
x =
-2 ± 2 √2
-2 ± √2
1, -2
-1 ± √2
6: What's missing in this factorization?
2x2 + 8x + 6
2(x + 1)(____)
2 + x
x + 3
3x + 4
x - 2
7: Which describes the graph of 2x - 3y < 6?
the solid line 2x - 3y = 6 and the half-plane above it
the solid line 2x - 3y = 6 and the half-plane below it
the half-plane above the dashed line 2x - 3y = 6
the half-plane below the dashed line 2x - 3y = 6
8: Simplify:
√16x8y4
4x4y2
4x2y2
2x2y
8x4y2
9: Solve for y.
|y − 3| = 4
-1
7
1, -7
7, -1
10: Divide using long or synthetic division:
(x3 - 2x2 + 5x - 3)/(x - 1) =
x2 - 3x - 10 + [1/(x - 1)]
x2 + 3x + 2
x2 - x + 4 + [1 /(x - 1)]
2x2 + 5x + 3
11: If a = -2 and b = 4, find b − a2
0
4
-4
36
12: The graph of the solution for |x - 3| < 9 is
an open circle on -9, shading to left, and an open circle on 9, shading to right
an open circle on -6, shading to left, and an open circle on 12, shading to right
an open circle on -6, an open circle on 12, and shading in between
an empty line ( no shading)
13: Solve for x:
x − 3√x = 10
x =
4, 25
4
10
25
14: What's missing in this factorization?
5z + 8yx + 4yz + 10x
(5 + 4y)(____)
3x + 2z
z + 2x
xy + 2z
2 + xz
15: Simplify:
(-2/3) / (-4/3) =
1/2
8/9
-2
3/4
16: What is the equation of the line through point (2, -3) with slope -4?
y = (3/2) x + 1
y = 2x - 3
y = -x + (½)
y = -4x + 5
17: Solve for r:
17r = 5r2 + 6
1/5, -2/3
2/5, 3
1/5, 5/4
-1, 3
18: Write the following number in standard form:
5.3 x 10-3 =
5.3 x 1/10
15
0.0053
0.00053
19: Find the solution set for x:
2x - 4 (x + 1) ≤ -8
the set of all numbers greater than 2
the set of all numbers greater than or equal to 2
the set of all real numbers
the set of all real numbers less than or equal to 2
20: Simplify:
(1 + √3)2
3√5 + 10√3
4 + 2√3
2 + √3
18
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