PreTest Chapter 4. Leave your answer in exponent form. 1.(3 6 )(3 4 ) 3 6 + 4 3 10 Product Rule.
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Transcript of PreTest Chapter 4. Leave your answer in exponent form. 1.(3 6 )(3 4 ) 3 6 + 4 3 10 Product Rule.
PreTest
Chapter 4
Leave your answer in exponent form.
1. (36)(34)
36 + 4
310
Product Rule.
214 – 6
28
2. 26
214
Leave your answer in exponent form.
Quotient Rule.
3. (23)5
23 • 5
215
Leave your answer in exponent form.
Power Rules.
Simplify. Use positive exponents.
4. (
-10
-2xy3 5)( x3 y5)
y8x4
Multiply.
Product Rule.
5.12-20
3-5y
x5
Simplify. Use positive exponents.
x7y4
x12y3
Simplify.
Quotient Rules.
6.
9x6 y10
Simplify. Use positive exponents.
(-3x3y5 2)
Power Rules.
Evaluate.
( )5
7.3
5
or
55 x15 y10
35 z25
3125 x15 y10
243 z25
Simplify. Use positive exponents.
x3y2
z5
Evaluate.
Power Rules.
8.10
15
32 x7
Simplify. Use positive exponents.
Quotient Rules.
Simplify.
x12
x5
y10
y10
9. 3-3
33
1
271
Simplify. Use positive exponents.
Evaluate.
Negative exponents.
10.
7x3 y4
z
Simplify. Use positive exponents.
7x-3y-4z
Negative exponents.
3x3 y2
z5
11.z-5
3
Simplify. Use positive exponents.y-2x-3
Negative exponents.
12. Write in scientific notation.
104,000,000
104000000.
x 1081.04
Count the number of places to move.Positive 8 is the exponent.
13. Write in decimal notation.
1.9 x 10-3
19.
0.0019
000
The exponent is negative 3.Move the decimal point left 3 places.
14. Multiply and write in scientific notation:
)3.8(
24.32 x 109
(6.4 x 103) x 106
Use the product rule.Multiply the numbers.
14. Multiply and write in scientific notation:
)3.8(
24.32 x 109
(6.4 x 103) x 106
Use the product rule.
Write in scientific notation.
2.432 x x 109
2.432 x 1010
101
15. Add.
(4x2 – 5x + 2) + (6x2 – 7x – 5)
4x2
10x2 – 12x – 3
+ 6x2 – 7x – 5– 5x + 2
Remove both parentheses. Distribute + 1 to each term in the second parentheses.Combine like terms.
16. Subtract.
(2x2 – x + 3)
2x2
-2x2
– 4x2
– 6x + 6
– 5x + 3
Remove both parentheses. Distribute – 1 to each term in the second parentheses.Combine like terms.
– x + 3
– (4x2 + 5x – 3 )
17. Multiply.
(x3-3 x3 + 2x2 )
-9x6 – 6x5
– 5
+ 15x3
Distribute.
3
18. Multiply.
-3
-15x4 + 18x3 – 15x2y5 y6 y2
x2y2( x2 – 6xy4 )+ 5
Distribute.
5 y3
19. Multiply.
(
24x2 – 6xy – 2y2+ 8xy
24x2
FirstOuterInnerLast
+ 2xy – 2y2
Use FOIL to multiply.
Combine like terms.
4x – y)(6x + 2y)
20. Multiply.
(4x)2 – (5)2
16x2 – 25
(4x – 5)(4x + 5)
Special Case (a + b)(a – b) = a2 – b2
Square the first term.
Subtract the square of the second term.
21. Multiply.
(2x)2 – 2(2x)(3y)
4x2
(2x – 3y)2
Special Case (a – b)2 = a2 – 2ab + b2
Square the first term.
Subtract 2 times the first and second terms.
Add the square of the second term.
+ (-3y)2
– 12xy + 9y2
22. Multiply.
LastFirst(
4x5 + 10x4y2 – 20y5– 8xy3
OuterInner
Use FOIL to multiply.
No like terms.
2x + 5y2)(2x4 – 4y3)
23. Multiply.
( )( )3x
3x3
– 20+ 15x + 8x– 6x2 – 4x23x3
– 4 x2 – 2x + 5
– 10x2 + 23x – 20
Multiply each term.
Combine.
(16x4 – 24x3 – 4x2) ÷ 4x2
24. Divide.
4 – –
164 –
244 –
44
x2 x6 1
x4
x2 x2
x3
x2
x2
Write as separate fractions.
Simplify each.
(3x3 – 13x2 + 27x – 20) ÷ (3x – 4) 25. Divide.
–( ) 3x3
–( )
3x )3x3
3x
x2
3x3
-9x2 + 27x
-9x2
3x
– 3x
-9x2
15x – 20
15x3x
+ 5
–( )
15x
x2 – 3x + 5
– 4x2
+ 12x
– 20
– 13x2 + 27x – 20– 4
Divide first terms.
Multiply.
Subtract.
Bring down next term.
Write as long division.
Chapter 4
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