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I have a math evaluation sheet I need answered. Do not need to include long explanation, just need answers to be correct. Thanks!
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Math Self-Evaluation
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Show all work clearly and circle answers.
1. Simplify:
a. 18 - 9 x (-4) ÷ 3 + 10 x 2
b. (32 - 22)3 + 42 ÷ 6 x 32 - 9
c. 4 3 ÷ 2 - 23 x 6 + 8(-1)10
2. Evaluate:
a. -4b - 2 - 3a - 1
4a
5b - 3
for a = 4, b = 5
b. 3x2y - 2xy2 + 10xy - 15y for x = -5, y = 3
3. Simplify and combine like terms:
a. 15x 2y - 4(-2xy 2 - 9xy ) + 12xy 2 - 8xy - 9x
b. (8x - 5)(x 2 + 6x )- (9x + 2)(4x 2 - 3x )
c. (1- x )3
4. Solve for the given variable:
a. 6y - 5 = -2y + 9
b. 6(3n - 9) + 45 = 12 - 4(9 - 2n)
c. 3x + 4 = 5
x-2
6
d. 8t - 6t - 1 = 5
2
e. 4 - x = 0
x 8
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5. Identify the constants in the following terms:
3
a. - 2a
7
3
b. 4 r
3
c. -1
5x
6. Express the following using inverse notation:
1
5x3
a.
b.
-1
c. 4t - 7 2
( )
2
n+1
7. Simplify:
a. 9 -2 x 62
b. -
48a -4b 6
144a 5b -3
c. (8x7y2)(2x -1y-6)3
d.
(
3a2b
2ab -3
)
3
8. Factor:
a. 5x2 - 80
b. a2 - 7a + 12
c. 18x 4y 2 + 21x 5y - 6x3y2
9. Solve for the given variables:
a. (5x + 8)(12 - 12x) = 0
b. 3x 3 -12x 2 - 96x = 0
c.
{
8x - 7y = -9
-3x + 4y = 2
10. Simplify:
a.
-12t 7 + 18t 9
-6t 3
2
b. 2x3 - 4x
2x - 8x
c. 27a 3b 3 *
d.
3a 3b 9
75a 8b
3a 4b -3
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11. Graph the given equations:
a.
y = (x + 3)2 - 4
b.
y
x
–
=–2
3
6
c
x–2
5
–
=0
3
2y – 4
d.
y = x 3 + 3x 2 – 6x
e.
y=
8
4–x
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12. Evaluate the function:
a. Find f(-3) if f (x) =
b. Find f
( )
6
if f (x) =
3x 3
9
x
+
– 4x +
2x2
3
2
–5cos(9x)
2sin(–x)
13. Analytic geometry and trigonometry:
a. Find the slope of the line going through the points (-7, 7) and (3, -5).
b. Using the point-slope formula, find the equation of the line going through the two previous points.
c. Find the distance between the points (-2, -5, 8) and (4, 0, -3).
d. Simplify:
(
e. Simplify:
sin(x)
+ cos(x)tan(x)
tan(x)
3tan(315°) + 6sin(90°)
-2cos(60°)
)
f. Solve the following right triangle:
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