Practice test 1 for the Florida State College Basic Skills

Practice test 1 for the Florida State College Basic Skills
Math Exit Test
1.
Simplify:
3
a.
b.
c.
d.
2.
x 6 + 4
2+6–3
14
17
23
26
Simplify:
8 – (6 – 2 )2 + 33
a.
b.
c.
d.
3.
9 + 4 (2 – 3)2
-1
0
1 6/13
23
Simplify:
6 -8 + 3 +5 -
a.
b.
c.
d.
4.
2
6
8
10
12
Simplify:
-3[2x + 3(4x -3)]
a.
b.
c.
d.
5.
42x + 27
42x – 27
-42x + 27
-42x – 27
Evaluate the given expression when g = 4:
g2 – 3g + 7
a.
b.
-1
3
c.
d.
6.
11
27
Solve for x:
2(7 – 3x) = 9x - 16
a.
b.
c.
d.
7.
15
7
10
2
Solve for x:
1
x+2=4+x
3
a.
b.
c.
d.
8.
3
-3
5
-5
Solve for y:
3
y = 3x + 6z
4
a.
b.
c.
d.
9.
y = 12x + 8z
y = 9x + 18z
y = 7x + 10Z
y = 4x + 8z
Solve:
13x < 3(x – 5) + 7x
a.
b.
c.
d.
x < -5
x > -5
x<5
x>5
10.
Choose the equation that shows if six times a number is divided by 4, the result is
3 greater than the number.
6x + 3 =
b.
6x +
c.
6x
=x+3
4
d.
11.
6x
x
=3
4
x
4
=3
The width of a rectangle is 6 yards less than its length. The perimeter is 52 yards.
What is its length?
a.
b.
c.
d.
12.
13.
x
4
a.
10 yards
16 yards
32 yards
4 yards
12 cans of tuna fish cost $10.20. What proportional equation could be used to find
the cost of 15 cans?
a.
12
x
=
10.50 15
b.
12 10.50
=
15
x
c.
10.50
x
=
12
15
d.
12
15
=
x
10.50
Simplify:
(3w2x3y5)3
a.
3w5x6y8
b.
3w6x9y15
c.
6w5x6y8
d.
27 w6x9y15
14.
Simplify:
3m n 2 p
12mn 2 p 6
1
4 p5
a.
15.
b.
c.
m2n4 p7
4
d.
3
12 p 5
2ac 6
8b 7
c.
a 4c6
4b 7
d.
a 2c 2
4b 3
16e6f4
c.
8 e5f4g2
d.
8e3f9g2
3mn2
12 p 6
Simplify:
2ab 2c 4
8a 3b5c 2
a.
2b 7
8a 4 c 6
16.
Simplify:
b.
(4e3f2g0)2
a.
16e5f4g2
17.
Convert to scientific notation:
b.
0.000256
a.
b.
c.
d.
18.
2.56 x 104
2.56 x 10-4
2.56 x 10000
2.56 x 1-5
Convert to standard notation:
9.34 x 106
a.
b.
c.
d.
19.
934,000,000
93,400,000
9,340,000
934,000
Simplify:
12 y 2
7y 8 - 4y2
3y 4
a.
b.
c.
d.
20.
8y2 -10y + 4
8y2 -4y + 4
8y2 -10y + 4
8y2 -10y + 12
Simplify:
5y2(3y – 6)
a.
b.
c.
d.
21.
8y3 – 6
8y3 – 11
15y3 – 6
15y3 - 30
Simplify:
3b 4 5b
a.
b.
c.
d.
22.
2
15b2 – 14b - 8
8b2 - 4b – 2
15b2 + 3b – 6
8b2 – 14b + 8
Factor completely:
24x4y3 + 18x2y5
a.
b.
c.
d.
23.
3xy(8x3y2 + 6xy4)
2x2y3(12x2 + 9y2)
6x2y3(4x2 + 3y2)
4x2y3(3x2 + 4y2)
Factor completely:
49 – 9b2
a.
b.
c.
d.
24.
9(40 – b2)
(7 – 3b)(7 – 3b)
(7 – 3b) (7 + 3b)
(7 – 3b2)(7 + 3b2)
Factor Completely:
2x2 + 6x + x + 3
a.
(x - 3)(2x + 1)
b.
c.
d.
25.
(x - 3)(2x - 1)
(x + 3)(2x – 1)
(x + 3) (2x + 1)
Identify a factor of the trinomial below:
2
12x – 22x + 10
a.
b.
c.
d.
26.
(2x + 2)
(2x – 2)
(3x + 5)
(15x – 5)
Simplify:
2x 2
a.
b.
c.
d.
27.
7x 6
2 x
2x + 3
-2x – 3
2x - 3
-2x + 3
Solve:
4x2 – 12x – 40
a.
b.
c.
d.
28.
x = 4, x = -10
x = -4, x = 10
x = -2, x = 5
x = 2, x = -5
Solve:
3x2 + 5x + 2
a.
x = -1, x = -
b.
x = 1, x =
c.
x=
2
3
2
3
3
2
,x=
5
5
d.
29.
3
2
x=- ,x=5
5
Assume x > 0; simplify completely:
72 x 3 y 2
a.
b.
c.
9xy 8 x
4xy 18 x
6xy 2 xy
d.
6xy 2 x
30.
Simplify:
2
a.
b.
c.
d.
31.
2
6
2 + 12
2+2 3
4
12
2+ 3 3
Simplify:
3 2 12
a.
b.
c.
d.
32.
3 75
12 3
16 3 - 2 12
2 88
14 3
Identify the x and y intercept for the following equation:
6x + 2y = 18
a.
b.
c.
d.
(0, 3), (0, 9)
(3, 0), (0, 9)
(3, 9), (0, 0)
(9, 0), (0, 3)
33.
Match the linear equation to its graph:
y = 2x – 7
b.
a.
c.
d.
Answers
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33.
c
a
b
c
c
d
b
d
a
c
b
c
d
a
c
b
b
c
d
d
a
c
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d
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b
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b
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c