Perform the division.
176)
z3– 125
z – 5
176)
A)
z2+ 5z – 25
B)
z2– 5z + 25
C)
z2+ 5z + 25
D)
z2+ 10z + 25
Solve the problem.
177)
Determine a polynomial that represents the area of the figure.
4x +1
4x +3
177)
A)
16x2+16x +3
B)
3x2+16
C)
3x2+16x +16
D)
16x2+3
Find the product.
178)
(4x4)(2x5)
178)
A)
8x9
B)
8x20
C)
6x20
D)
6x9
179)
t(2t +8)(2t –8)
179)
A)
4t2–64
B)
4t3–64t
C)
4t4–64t2
D)
4t3+64t
39
Solve the problem. Express the answer in scientific notation to two decimals.
180)
The earth is approximately 92,900,000 miles from the sun. If 1 mile = 1.61 × 103 m, what is the
distance to the sun in meters?
180)
A)
5.7 × 10–10 m
B)
5.7 × 1010 m
C)
1.50 × 1010 m
D)
1.50 × 1011 m
Find the product.
181)
(3 x + 2 y)2
181)
A)
3 x2+ 12 xy + 4 y2
B)
9 x2+ 12 xy + 4 y2
C)
3 x2+ 4 y2
D)
9 x2+ 4 y2
Find the product. Use the FOIL method.
182)
(x + 8)(–5x – 10)
182)
A)
–5x2– 52x – 80
B)
–5x2– 50x – 80
C)
–5x2– 50x – 50
D)
–5x2– 80x – 50
Solve the problem.
183)
The area of a parallelogram is 12x3+41x2+39x +7. Find a polynomial that expresses the height if
the base is 4x +7.
183)
A)
6x2+5x + 1
B)
3x2+5x + 1
C)
3x2+10x + 1
D)
3x2+5x +7
Subtract.
184)
(2x7+ 7x9+ 5 + 7x8) – (1– 3x8+ 5x9+ 5x7)
184)
A)
12x9+ 4x8+ 7x7+ 4
B)
2x9+ 4x8+ 7x7+ 6
C)
2x9+ 10x8– 3x7+ 4
D)
12x9+ 4x8+ 7x7+ 6
40
Perform the indicated operation. Write the answer in scientific notation.
185)
16 × 105
4× 10–1
185)
A)
8× 104
B)
4× 106
C)
8× 106
D)
4× 104
Use the product rule, if possible, to simplify the expression. Write the answer in exponential form.
186)
(–8)9(–8)6
186)
A)
(8)15
B)
(64)15
C)
(–8)15
D)
(64)54
Perform the indicated operation.
187)
(5n7– 12n4– 10) – (–4n4+ 3n7– 17) + (n8+ 19)
187)
A)
n8+ 2n7– 8n4+ 26
B)
20n11
C)
n8+ 2n7– 8n4– 8
D)
n8+ 2n7– 9n4– 8
Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers.
188)
8–2
8–9
188)
A)
8–19
B)
87
C)
8–11
D)
1
87
Find the product.
189)
(4x2– 5x – 3)(x2– 3x – 2)
189)
A)
4x4– 12x3+ 7x2+ 19x + 6
B)
4x4– 17x3+ 4x2+ 19x + 6
C)
4x4– 12x3+ 4x2+ 19x + 6
D)
4x4– 17x3+ 7x2+ 19x + 6
Identify the base and the exponent for the exponential expression.
190)
–y7
190)
A)
Base: 7, exponent: y
B)
Base: y, exponent: 7
C)
Base: –y, exponent: 7
D)
Base: 7, exponent: –y
Find the product.
191)
(2k + 1)3
191)
A)
8k3+ 1
B)
8k3+8k2+4k + 1
C)
8k3+24k2+6k + 1
D)
8k3+12k2+6k + 1
192)
2y3(3y +2)(y + – 5)
192)
A)
6y5+ – 20y3
B)
–20y4+ – 20y3
C)
6y5+ – 26y4+ – 20y3
D)
–26y4+ – 20y3
Solve the problem. Express the answer in scientific notation to two decimals.
193)
The national debt of a country is $28,350,000,000 and the population is 3,150,000. What is the debt
per person? Write answer without exponents.
193)
A)
$90,000
B)
$89,302,500
C)
$9000
D)
$900
Add.
194)
2a4+ 9a2
7a4– 3a2
194)
A)
15a6
B)
9a8+ 6a4
C)
15a12
D)
9a4+ 6a2
Evaluate the expression.
195)
4–3
195)
A)
1
12
B)
1
64
C)
–64
D)
64
196)
1
5
–4
196)
A)
625
B)
1
625
C)
1
20
D)
–625
Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation.
197)
320,000,000(0.000098)
0.00007
197)
A)
44.8 ×108
B)
44.8 ×107
C)
4.48 ×108
D)
4.48 ×106
Provide an appropriate response.
198)
Find a polynomial that represents the perimeter.
8k2+ 8x
8k2+ 4
198)
A)
16k2+ 8x + 4
B)
16k2+ 12x
C)
32k2+ 24x
D)
32k2+ 16x + 8
Add like terms, if possible, and write the result in descending powers of the variable.
199)
6z2+ 7z3
199)
A)
13z2
B)
13z5
C)
7z3+ 6z2
D)
13z7
Find the value of the polynomial.
200)
4x3– 4x2– 7 when x =2
200)
A)
17
B)
–1
C)
–3
D)
9
Use the product rule, if possible, to simplify the expression. Write the answer in exponential form.
201)
1010 +109
201)
A)
1027
B)
2020
C)
1012
D)
The product rule does not apply.
44
Add.
202)
(7 + 3n6– 2n3) + (9n6+ 9n3– 5)
202)
A)
12n6+ 7n3+ 2
B)
12 + 7n6+ 2n3
C)
16n6+ 12n3– 7
D)
21n9
D)
Perform the division. Write the answer with positive exponents.
203)
–9x8+ 21x6– 18x4
–3x6
203)
A)
3x2– 7 +6
x
B)
3x2– 7 +6
x2
C)
3x – 7 +6
x
D)
3x – 7 +6
x2
D)
Find the product. Use the FOIL method.
204)
(3x + 8)(x + 8)
204)
A)
3x2+ 32x + 64
B)
3x2+ 32x + 32
C)
3x2+ 30x + 64
D)
3x2+ 64x + 32
D)
Subtract.
205)
9n7– 7n5+ 20
3n7– 16n5– 4
205)
A)
6n7+ 9n5+ 16
B)
39n12
C)
6n7+ 9n5+ 24
D)
6n7– 4n5+ 16
D)
45
A
Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers.
206)
14x–2
(2x)3
206)
A)
7
4x5
B)
7
16x5
C)
7x5
4
D)
7
x5
Add.
207)
(8n7+ 7n – 6n5) + (–5n5+ 6n7+ 3n)
207)
A)
13n7+ 3n5– 3n
B)
14n7– 11n5+ 10n
C)
14n – 11n7+ 10n5
D)
13n13
Add or subtract as indicated.
208)
(x3y2+ 2x2y3+ 2xy – 3) + (x2y3– 7x3y2+ 2xy – 5)
208)
A)
–6x3y2+ 3x2y3+ 4xy – 8
B)
–6x3y2+ 3x2y3+ 2xy – 8
C)
2x3y2– 5x2y3+ 4xy – 8
D)
–8x3y2+ 3x2y3+ 4xy – 8
Find the product.
209)
4t4(t – 4)(4t – 5)
209)
A)
16t6+ 80t4
B)
16t6+ 80t5– 84t4
C)
16t6– 84t5+ 80t4
D)
16t6– 64t5+ 80t4
Use the power rules for exponents to simplify. Write the answer in exponential form.
210)
4(rt)9
210)
A)
4r9t
B)
4r9t9
C)
49r9t9
D)
4rt9
Determine whether or not the number is written in scientific notation.
211)
45.39 × 1011
211)
A)
in scientific notation
B)
not in scientific notation
Add like terms, if possible, and write the result in descending powers of the variable.
212)
7x4+ 2x2– 4x4
212)
A)
5x10
B)
5x2
C)
3x4+ 2x2
D)
Cannot be simplified
Perform the division.
213)
(x4– 81) ÷ (x + 3)
213)
A)
x2+ 3x + 9
B)
x3– 3x2+ 9x – 27
C)
x3+ 3x2+ 9x + 27
D)
x3+ 3x2– 9x + 27
Perform the indicated operation. Write the answer in scientific notation.
214)
5.4 × 10–7
2× 10–3
214)
A)
5.4 × 10–10
B)
2.70 × 10–10
C)
2.70 × 10–4
D)
5.4 × 10–4
Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
215)
15c5+ 8c4– 7c3
215)
A)
Trinomial, degree 12
B)
Binomial, degree 4
C)
Trinomial, degree 5
D)
Binomial, degree 12
Identify the base and the exponent for the exponential expression.
216)
12x6
216)
A)
Base: 12x, exponent: 6
B)
Base: x, exponent: 6
C)
Base: 6, exponent: 12x
D)
Base: 6, exponent: x
Solve the problem.
217)
Find an expression that represents the volume of the figure.
4xy
7x3y
4xy8
217)
A)
112x3y8
B)
112x4y9
C)
28x5y10
D)
112x5y10
Write the number in scientific notation.
218)
0.000104
218)
A)
1.04 × 10–4
B)
1.04 × 10–5
C)
1.04 × 10–3
D)
1.04 × 104
C
Find the product.
219)
(p + 7q)(p – 7q)
219)
A)
p2– 14pq – 49q2
B)
p2+ 14pq – 49q2
C)
p2– 14q2
D)
p2– 49q2
Solve the problem.
220)
Determine a polynomial that represents the area of the figure.
3x –4
3x +4
220)
A)
6x2–8
B)
6x2+8
C)
9x2–16
D)
9x2+16
Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
221)
12y4+ 3y3– 2
221)
A)
Trinomial, degree 4
B)
Trinomial, degree 7
C)
Binomial, degree 4
D)
Trinomial, degree 8
Evaluate the expression.
222)
140+ (–7)0
222)
A)
7
B)
0
C)
1
D)
2
49
D
Find the product.
223)
(7 m – 5 w)( 7m + 5 w)
223)
A)
7 m2– 5 w2
B)
49 m2– 70 mw – 25 w2
C)
49 m2+ 70 mw – 25 w2
D)
49 m2– 25 w2
Find the value of the polynomial.
224)
–6x2+ 9x – 2 when x = – 2
224)
A)
–54
B)
–8
C)
–48
D)
–44
Perform the indicated operation.
225)
(9x4–3x2+ x) – (7x3+5x2+3x) + (4x2– x)
225)
A)
9x4–7x3–2x2+3x
B)
9x4+7x3–12x2–3x
C)
–3x5+ 7x4–3x
D)
9x4–7x3–4x2–3x
Write the number without exponents.
226)
8.985 × 10–5
226)
A)
0.00008985
B)
–898,500
C)
0.0008985
D)
0.000008985
Evaluate the expression.
227)
(–2)–4
227)
A)
16
B)
–16
C)
–1
16
D)
1
16
D
Perform the indicated operation.
228)
Find the sum of (–3+ 8n7– 9n6) and (8n7+ 5n6– 3).
228)
A)
5n7+ 13n6– 12
B)
6n13
C)
16n7– 4n6– 6
D)
16 – 4n7– 6n6
51
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
56