Question 1

Evaluate.
-$\left(\frac{4}{7}\right)^{1}$

Accepted Answer

A)  $-\frac{4}{7}$ 
B)  $\frac{4}{7}$ 
C)  $\frac{7}{4}$ 
D)  1 
A)  $-\frac{4}{7}$ 
B)  $\frac{4}{7}$ 
C)  $\frac{7}{4}$ 
D)  1

Question 2

Subtract.
-$\left(9 x^{5}+2 x^{7}-2+2 x^{6}\right)-\left(-8+4 x^{6}+5 x^{7}+6 x^{5}\right)$

Accepted Answer

A)  $7 x^{7}+6 x^{6}+15 x^{5}-10$ 
B)  $-3 x^{7}-2 x^{6}+3 x^{5}+6$ 
C)  $7 x^{7}+6 x^{6}+15 x^{5}+6$ 
D)  $-3 x^{7}+6 x^{6}+15 x^{5}-10$ 
A)  $7 x^{7}+6 x^{6}+15 x^{5}-10$ 
B)  $-3 x^{7}-2 x^{6}+3 x^{5}+6$ 
C)  $7 x^{7}+6 x^{6}+15 x^{5}+6$ 
D)  $-3 x^{7}+6 x^{6}+15 x^{5}-10$

Question 3

Perform the division.
-$\left(x^{4}-81\right) \div(x+3)$

Accepted Answer

A)  $x^{3}+3 x^{2}-9 x+27$ 
B)  $x^{3}-3 x^{2}+9 x-27$ 
C)  $x^{2}+3 x+9$ 
D)  $x^{3}+3 x^{2}+9 x+27$ 
A)  $x^{3}+3 x^{2}-9 x+27$ 
B)  $x^{3}-3 x^{2}+9 x-27$ 
C)  $x^{2}+3 x+9$ 
D)  $x^{3}+3 x^{2}+9 x+27$

Question 4

Rank the numbers in order from smallest to largest.
$3.45 \times 10^{3}, 8.44 \times 10^{5}, 2.79 \times 10^{-5}, 3.48 \times 10^{3}, 5.02 \times 10^{-6}$

Accepted Answer

A)  $8.44 \times 10^{5}<3.48 \times 10^{3}<3.45 \times 10^{3}<2.79 \times 10^{-5}<$
$5.02 \times 10^{-6}$ 
B)  $5.02 \times 10^{-6}<3.45 \times 10^{3}<3.48 \times 10^{3}<8.44 \times 10^{5}<$
$2.79 \times 10^{-5}$ 
C)  $2.79 \times 10^{-5}<5.02 \times 10^{-6}<3.45 \times 10^{3}<3.48 \times 10^{3}<$
$8.44 \times 10^{5}$ 
D)  $5.02 \times 10^{-6}<2.79 \times 10^{-5}<3.45 \times 10^{3}<3.48 \times 10^{3}<$
$8.44 \times 10^{5}$ 
A)  $8.44 \times 10^{5}<3.48 \times 10^{3}<3.45 \times 10^{3}<2.79 \times 10^{-5}<$
$5.02 \times 10^{-6}$ 
B)  $5.02 \times 10^{-6}<3.45 \times 10^{3}<3.48 \times 10^{3}<8.44 \times 10^{5}<$
$2.79 \times 10^{-5}$ 
C)  $2.79 \times 10^{-5}<5.02 \times 10^{-6}<3.45 \times 10^{3}<3.48 \times 10^{3}<$
$8.44 \times 10^{5}$ 
D)  $5.02 \times 10^{-6}<2.79 \times 10^{-5}<3.45 \times 10^{3}<3.48 \times 10^{3}<$
$8.44 \times 10^{5}$

Question 5

Evaluate the polynomial.
-$x^{2} y z+x+y$ for $x=1, y=-4$, and $z=1$

Accepted Answer

A)  7 
B)  -4 
C)  4 
D)  -7 
A)  7 
B)  -4 
C)  4 
D)  -7

Question 6

Multiply.
-$(3 x-1)(-5 x+2)$

Accepted Answer

A)  $-2 x^{2}+11 x+11$ 
B)  $-15 x^{2}+11 x+11$ 
C)  $-15 x^{2}+11 x-2$ 
D)  $-2 x^{2}+11 x-2$ 
A)  $-2 x^{2}+11 x+11$ 
B)  $-15 x^{2}+11 x+11$ 
C)  $-15 x^{2}+11 x-2$ 
D)  $-2 x^{2}+11 x-2$

Question 7

Collect like terms.
-$-9 x^{3}-6 x^{3}$

Accepted Answer

A)  Can't be simplified 
B)  $-45 x$ 
C)  $-15 x^{3}$ 
D)  $-15 x^{6}$ 
A)  Can't be simplified 
B)  $-45 x$ 
C)  $-15 x^{3}$ 
D)  $-15 x^{6}$

Question 8

Multiply.
-$(3 a-8)^{2}$

Accepted Answer

A)  $9 a^{2}-48 a+64$ 
B)  $9 a^{2}+64$ 
C)  $3 a^{2}+64$ 
D)  $3 a^{2}-48 a+64$ 
A)  $9 a^{2}-48 a+64$ 
B)  $9 a^{2}+64$ 
C)  $3 a^{2}+64$ 
D)  $3 a^{2}-48 a+64$

Question 9

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$-16 z+8$

Accepted Answer

A)  Binomial, degree 2 
B)  Monomial, degree -16 
C)  Binomial, degree 0 
D)  Binomial, degree 1 
A)  Binomial, degree 2 
B)  Monomial, degree -16 
C)  Binomial, degree 0 
D)  Binomial, degree 1

Question 10

What is the meaning of the expression?
-$5^{2}$

Accepted Answer

A)  7 
B)  3 
C)  $2 \cdot 5$ 
D)  $5 \cdot 5$ 
A)  7 
B)  3 
C)  $2 \cdot 5$ 
D)  $5 \cdot 5$

Question 11

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$-7 x$

Accepted Answer

A)  Monomial, degree 1 
B)  Monomial, degree -7 
C)  Binomial, degree 0 
D)  Monomial, degree 0 
A)  Monomial, degree 1 
B)  Monomial, degree -7 
C)  Binomial, degree 0 
D)  Monomial, degree 0

Question 12

Convert to decimal notation.
-$5.573 \times 10^{-5}$

Accepted Answer

A)  0.0005573 
B)  0.000005573 
C)  0.00005573 
D)  $-557,300$ 
A)  0.0005573 
B)  0.000005573 
C)  0.00005573 
D)  $-557,300$

Question 13

Multiply.
-$\left(2 y^{2}+4 y+3\right)\left(y^{2}-3 y+3\right)$

Accepted Answer

A)  $2 y^{4}-2 y^{3}-3 y^{2}+3 y+9$ 
B)  $2 y^{4}-6 y^{3}-6 y^{2}+3 y+9$ 
C)  $2 y^{4}-2 y^{3}-6 y^{2}+3 y+9$ 
D)  $2 y^{4}-6 y^{3}-3 y^{2}+3 y+9$ 
A)  $2 y^{4}-2 y^{3}-3 y^{2}+3 y+9$ 
B)  $2 y^{4}-6 y^{3}-6 y^{2}+3 y+9$ 
C)  $2 y^{4}-2 y^{3}-6 y^{2}+3 y+9$ 
D)  $2 y^{4}-6 y^{3}-3 y^{2}+3 y+9$

Question 14

Divide and simplify.
-$\frac{(4 p)^{9}}{(4 p)^{6}}$

Accepted Answer

A)  $\frac{p^{3}}{64}$ 
B)  $\frac{1}{64 p^{3}}$ 
C)  $64 p^{3}$ 
D)  $\frac{64}{p^{3}}$ 
A)  $\frac{p^{3}}{64}$ 
B)  $\frac{1}{64 p^{3}}$ 
C)  $64 p^{3}$ 
D)  $\frac{64}{p^{3}}$

Question 15

Collect like terms
-$-3 n^{9}-3 n^{9}+9 n^{9}$

Accepted Answer

A)  $3 n 27$ 
B)  $81 n^{9}$ 
C)  $81 n^{27}$ 
D)  $3 n^{9}$ 
A)  $3 n 27$ 
B)  $81 n^{9}$ 
C)  $81 n^{27}$ 
D)  $3 n^{9}$

Question 16

Evaluate the polynomial.
-$-10 x^{2}+3 x+1$, when $x=2$

Accepted Answer

A)  -43 
B)  -37 
C)  -33 
D)  -13 
A)  -43 
B)  -37 
C)  -33 
D)  -13

Question 17

Multiply or divide and write scientific notation for the result.
-$\left(4.77 \times 10^{-2}\right)\left(6.55 \times 10^{-5}\right)$

Accepted Answer

A)  $3.12 \times 10^{-6}$ 
B)  $3.12 \times 10^{10}$ 
C)  $3.1 \times 10^{-6}$ 
D)  $3.1 \times 10^{10}$ 
A)  $3.12 \times 10^{-6}$ 
B)  $3.12 \times 10^{10}$ 
C)  $3.1 \times 10^{-6}$ 
D)  $3.1 \times 10^{10}$

Question 18

Solve the problem.
-Participants in a memorization experiment were able to recall an average of $D$ digits in $t$ minutes, where $D=-0.1 t^{2}+8 t$. Use the graph below to find the approximate value of $-0.1 t^{2}+8 t$ for $t=2$.

Accepted Answer

A)  -5 digits 
B)  35 digits 
C)  55 digits 
D)  15 digits 
A)  -5 digits 
B)  35 digits 
C)  55 digits 
D)  15 digits

Question 19

Find the degree of the polynomial.
-$x^{4} y z-x^{6} y^{2}-4 x^{3} y^{2} z^{3}$

Accepted Answer

A)  8 
B)  6 
C)  3 
D)  4 
A)  8 
B)  6 
C)  3 
D)  4

Question 20

Subtract.
-$\left(0.7 x^{4}-0.8 x^{3}+0.9\right)-\left(4.6 x^{4}+2.1 x-1.3\right)$

Accepted Answer

A)  $-3.9 x^{4}-0.8 x^{3}-2.1 x+2.2$ 
B)  $-3.9 x^{4}-0.8 x^{3}-2.1 x-0.4$ 
C)  $-3.9 x^{4}-0.8 x^{3}+2.1 x+2.2$ 
D)  $-3.9 x^{4}-0.9 x^{3}-0.4$ 
A)  $-3.9 x^{4}-0.8 x^{3}-2.1 x+2.2$ 
B)  $-3.9 x^{4}-0.8 x^{3}-2.1 x-0.4$ 
C)  $-3.9 x^{4}-0.8 x^{3}+2.1 x+2.2$ 
D)  $-3.9 x^{4}-0.9 x^{3}-0.4$

Evaluate. - $\left(\frac{4}{7}\right)^{1}$

Subtract. - $\left(9 x^{5}+2 x^{7}-2+2 x^{6}\right)-\left(-8+4 x^{6}+5 x^{7}+6 x^{5}\right)$

Perform the division. - $\left(x^{4}-81\right) \div(x+3)$

Rank the numbers in order from smallest to largest. $3.45 \times 10^{3}, 8.44 \times 10^{5}, 2.79 \times 10^{-5}, 3.48 \times 10^{3}, 5.02 \times 10^{-6}$

Evaluate the polynomial. - $x^{2} y z+x+y$ for $x=1, y=-4$ , and $z=1$

Multiply. - $(3 x-1)(-5 x+2)$

Collect like terms. - $-9 x^{3}-6 x^{3}$

Multiply. - $(3 a-8)^{2}$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $-16 z+8$

What is the meaning of the expression? - $5^{2}$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $-7 x$

Convert to decimal notation. - $5.573 \times 10^{-5}$

Multiply. - $\left(2 y^{2}+4 y+3\right)\left(y^{2}-3 y+3\right)$

Divide and simplify. - $\frac{(4 p)^{9}}{(4 p)^{6}}$

Collect like terms - $-3 n^{9}-3 n^{9}+9 n^{9}$

Evaluate the polynomial. - $-10 x^{2}+3 x+1$ , when $x=2$

Multiply or divide and write scientific notation for the result. - $\left(4.77 \times 10^{-2}\right)\left(6.55 \times 10^{-5}\right)$

Find the degree of the polynomial. - $x^{4} y z-x^{6} y^{2}-4 x^{3} y^{2} z^{3}$

Subtract. - $\left(0.7 x^{4}-0.8 x^{3}+0.9\right)-\left(4.6 x^{4}+2.1 x-1.3\right)$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 10: Polynomials: Operations

Evaluate. - (47)1\left(\frac{4}{7}\right)^{1}(74​)1

Subtract. - (9x5+2x7−2+2x6)−(−8+4x6+5x7+6x5)\left(9 x^{5}+2 x^{7}-2+2 x^{6}\right)-\left(-8+4 x^{6}+5 x^{7}+6 x^{5}\right)(9x5+2x7−2+2x6)−(−8+4x6+5x7+6x5)

Perform the division. - (x4−81)÷(x+3)\left(x^{4}-81\right) \div(x+3)(x4−81)÷(x+3)

Rank the numbers in order from smallest to largest. 3.45×103,8.44×105,2.79×10−5,3.48×103,5.02×10−63.45 \times 10^{3}, 8.44 \times 10^{5}, 2.79 \times 10^{-5}, 3.48 \times 10^{3}, 5.02 \times 10^{-6}3.45×103,8.44×105,2.79×10−5,3.48×103,5.02×10−6

Evaluate the polynomial. - x2yz+x+yx^{2} y z+x+yx2yz+x+y for x=1,y=−4x=1, y=-4x=1,y=−4 , and z=1z=1z=1

Multiply. - (3x−1)(−5x+2)(3 x-1)(-5 x+2)(3x−1)(−5x+2)

Collect like terms. - −9x3−6x3-9 x^{3}-6 x^{3}−9x3−6x3

Multiply. - (3a−8)2(3 a-8)^{2}(3a−8)2

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - −16z+8-16 z+8−16z+8

What is the meaning of the expression? - 525^{2}52

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - −7x-7 x−7x

Convert to decimal notation. - 5.573×10−55.573 \times 10^{-5}5.573×10−5

Multiply. - (2y2+4y+3)(y2−3y+3)\left(2 y^{2}+4 y+3\right)\left(y^{2}-3 y+3\right)(2y2+4y+3)(y2−3y+3)

Divide and simplify. - (4p)9(4p)6\frac{(4 p)^{9}}{(4 p)^{6}}(4p)6(4p)9​

Collect like terms - −3n9−3n9+9n9-3 n^{9}-3 n^{9}+9 n^{9}−3n9−3n9+9n9

Evaluate the polynomial. - −10x2+3x+1-10 x^{2}+3 x+1−10x2+3x+1 , when x=2x=2x=2

Multiply or divide and write scientific notation for the result. - (4.77×10−2)(6.55×10−5)\left(4.77 \times 10^{-2}\right)\left(6.55 \times 10^{-5}\right)(4.77×10−2)(6.55×10−5)

Solve the problem. -Participants in a memorization experiment were able to recall an average of DDD digits in ttt minutes, where D=−0.1t2+8tD=-0.1 t^{2}+8 tD=−0.1t2+8t . Use the graph below to find the approximate value of −0.1t2+8t-0.1 t^{2}+8 t−0.1t2+8t for t=2t=2t=2 .

Find the degree of the polynomial. - x4yz−x6y2−4x3y2z3x^{4} y z-x^{6} y^{2}-4 x^{3} y^{2} z^{3}x4yz−x6y2−4x3y2z3

Subtract. - (0.7x4−0.8x3+0.9)−(4.6x4+2.1x−1.3)\left(0.7 x^{4}-0.8 x^{3}+0.9\right)-\left(4.6 x^{4}+2.1 x-1.3\right)(0.7x4−0.8x3+0.9)−(4.6x4+2.1x−1.3)