Question 1

Multiply.
-$(x-5)(x-8)$

Accepted Answer

A)  $x^{2}-13 x+40$ 
B)  $x^{2}-13 x-13$ 
C)  $x-13 x+40$ 
D)  $x^{2}-16 x+40$ 
A)  $x^{2}-13 x+40$ 
B)  $x^{2}-13 x-13$ 
C)  $x-13 x+40$ 
D)  $x^{2}-16 x+40$

Question 2

Evaluate.
-$y^{11}$ when $y=1$

Accepted Answer

A)  11 
B)  1 
C)  0 
D)  -1 
A)  11 
B)  1 
C)  0 
D)  -1

Question 3

Subtract.
-$(-5 x+16)-(-15 x+20)$

Accepted Answer

A)  $10 x-4$ 
B)  $6 x$ 
C)  $10 x+36$ 
D)  $-20 x+36$ 
A)  $10 x-4$ 
B)  $6 x$ 
C)  $10 x+36$ 
D)  $-20 x+36$

Question 4

Convert to decimal notation.
-$2.982 \times 10^{7}$

Accepted Answer

A)  $298,200,000$ 
B)  208.74 
C)  $2,982,000$ 
D)  $29,820,000$ 
A)  $298,200,000$ 
B)  208.74 
C)  $2,982,000$ 
D)  $29,820,000$

Question 5

Simplify.
-$\left(x^{-4}\right)^{-4}$

Accepted Answer

A)  $-4 x^{-4}$ 
B)  $x^{16}$ 
C)  $\frac{1}{x^{16}}$ 
D)  $x^{0}$ 
A)  $-4 x^{-4}$ 
B)  $x^{16}$ 
C)  $\frac{1}{x^{16}}$ 
D)  $x^{0}$

Question 6

Express using positive exponents. Then simplify.
-$\frac{1}{x^{-m}}$

Accepted Answer

A)  $m x$ 
B)  $x^{m}$ 
C)  $\frac{1}{x^{m}}$ 
D)  $x^{-m}$ 
A)  $m x$ 
B)  $x^{m}$ 
C)  $\frac{1}{x^{m}}$ 
D)  $x^{-m}$

Question 7

Write the number in scientific notation.
-0.000008656

Accepted Answer

A)  $8.656 \times 10^{-6}$ 
B)  $8.656 \times 10^{6}$ 
C)  $8.656 \times 10^{-5}$ 
D)  $8.656 \times 10^{-7}$ 
A)  $8.656 \times 10^{-6}$ 
B)  $8.656 \times 10^{6}$ 
C)  $8.656 \times 10^{-5}$ 
D)  $8.656 \times 10^{-7}$

Question 8

Multiply mentally
-$\left(x-6 x^{3}\right)^{2}$

Accepted Answer

A)  $x-12 x^{2}+36 x^{6}$ 
B)  $x^{2}-12 x^{6}+36 x^{9}$ 
C)  $x^{2}-12 x^{3}+36 x^{6}$ 
D)  $x^{2}-12 x^{4}+36 x^{6}$ 
A)  $x-12 x^{2}+36 x^{6}$ 
B)  $x^{2}-12 x^{6}+36 x^{9}$ 
C)  $x^{2}-12 x^{3}+36 x^{6}$ 
D)  $x^{2}-12 x^{4}+36 x^{6}$

Question 9

Add.
-

Accepted Answer

A)  $-\frac{7}{12} x^{2}+\frac{7}{8} x+\frac{11}{10}$ 
B)  $\frac{13}{12} x^{2}+\frac{7}{8} x+\frac{11}{10}$ 
C)  $-\frac{7}{12} x^{2}-\frac{7}{8} x+\frac{11}{10}$ 
D)  $\frac{13}{12} x^{2}-\frac{7}{8} x+\frac{11}{10}$ 
A)  $-\frac{7}{12} x^{2}+\frac{7}{8} x+\frac{11}{10}$ 
B)  $\frac{13}{12} x^{2}+\frac{7}{8} x+\frac{11}{10}$ 
C)  $-\frac{7}{12} x^{2}-\frac{7}{8} x+\frac{11}{10}$ 
D)  $\frac{13}{12} x^{2}-\frac{7}{8} x+\frac{11}{10}$

Question 10

Multiply.
-$(2 x+7)(x+8)$

Accepted Answer

A)  $x^{2}+23 x+22$ 
B)  $2 x^{2}+23 x+56$ 
C)  $x^{2}+56 x+23$ 
D)  $2 x^{2}+22 x+56$ 
A)  $x^{2}+23 x+22$ 
B)  $2 x^{2}+23 x+56$ 
C)  $x^{2}+56 x+23$ 
D)  $2 x^{2}+22 x+56$

Question 11

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$7 a ^{8}$

Accepted Answer

A)  Binomial, degree 7 
B)  Monomial, degree 7 
C)  Binomial, degree 8 
D)  Monomial, degree 8 
A)  Binomial, degree 7 
B)  Monomial, degree 7 
C)  Binomial, degree 8 
D)  Monomial, degree 8

Question 12

Simplify.
-$\left(-5 x^{5} y\right)^{4}$

Accepted Answer

A)  $(-5)^{4} x^{20} y^{4}$ 
B)  $(-5)^{4} x^{9} y^{4}$ 
C)  $-20 x^{5} y^{4}$ 
D)  $-20 x^{5} y$ 
A)  $(-5)^{4} x^{20} y^{4}$ 
B)  $(-5)^{4} x^{9} y^{4}$ 
C)  $-20 x^{5} y^{4}$ 
D)  $-20 x^{5} y$

Question 13

Collect like terms and then arrange in descending order.
-$4 x^{4}+13 x^{6}-10 x^{4}+12 x^{6}-3 x^{6}$

Accepted Answer

A)  $16 x^{10}$ 
B)  $22 x^{6}-6 x^{4}$ 
C)  $16 x^{6}$ 
D)  Can't be simplified 
A)  $16 x^{10}$ 
B)  $22 x^{6}-6 x^{4}$ 
C)  $16 x^{6}$ 
D)  Can't be simplified

Question 14

Divide and simplify.
-$\frac{x}{x^{13}}$

Accepted Answer

A)  $\frac{1}{x^{12}}$ 
B)  $x^{13}$ 
C)  $x^{12}$ 
D)  $\frac{1}{x^{13}}$ 
A)  $\frac{1}{x^{12}}$ 
B)  $x^{13}$ 
C)  $x^{12}$ 
D)  $\frac{1}{x^{13}}$

Question 15

Multiply.
-$(0.1 x-0.3)^{2}$

Accepted Answer

A)  $0.01 x^{2}+0.06 x-0.09$ 
B)  $0.01 x^{2}+0.06 x+0.09$ 
C)  $0.01 x^{2}-0.06 x+0.09$ 
D)  $0.01 x^{2}+0.09$ 
A)  $0.01 x^{2}+0.06 x-0.09$ 
B)  $0.01 x^{2}+0.06 x+0.09$ 
C)  $0.01 x^{2}-0.06 x+0.09$ 
D)  $0.01 x^{2}+0.09$

Question 16

Identify the degree of each term and the degree of the polynomial.
-$8 x^{2}-3 x+7$

Accepted Answer

A)  $2,0,0 ; 2$ 
B)  2, 1, 0; 2 
C)  $8,-3,7 ; 8$ 
D)  2, 1, 0; 8 
A)  $2,0,0 ; 2$ 
B)  2, 1, 0; 2 
C)  $8,-3,7 ; 8$ 
D)  2, 1, 0; 8

Question 17

Convert to decimal notation.
-$6.19 \times 10^{-4}$

Accepted Answer

A)  $-619,000$ 
B)  0.0000619 
C)  0.000619 
D)  0.00619 
A)  $-619,000$ 
B)  0.0000619 
C)  0.000619 
D)  0.00619

Question 18

Multiply.
-($4 a+11 c)(4 a-11 c)$

Accepted Answer

A)  16a2 - 88ac - 121c2 
B)  16a2 - 121c2 
C)  4a2 - 11c2 
D)  16a2 + 88ac - 121c2 
A)  16a2 - 88ac - 121c2 
B)  16a2 - 121c2 
C)  4a2 - 11c2 
D)  16a2 + 88ac - 121c2

Question 19

Compute each expression and compare.
-$6^{2}+8^{2} ;(6+8)^{2}$

Accepted Answer

A)  $100 ; 28$; sum of squares is greater than square of sum 
B)  $28 ; 28$; both are equal 
C)  100; 196; square of sum is greater than sum of squares 
D)  $28 ; 196$; square of sum is greater than sum of squares 
A)  $100 ; 28$; sum of squares is greater than square of sum 
B)  $28 ; 28$; both are equal 
C)  100; 196; square of sum is greater than sum of squares 
D)  $28 ; 196$; square of sum is greater than sum of squares

Question 20

Multiply.
-$(6 p-7)(6 p+7)$

Accepted Answer

A)  $36 p^{2}-49$ 
B)  $36 p^{2}-84 p-49$ 
C)  $36 p^{2}+84 p-49$ 
D)  $p^{2}-49$ 
A)  $36 p^{2}-49$ 
B)  $36 p^{2}-84 p-49$ 
C)  $36 p^{2}+84 p-49$ 
D)  $p^{2}-49$

Multiply. - $(x-5)(x-8)$

Evaluate. - $y^{11}$ when $y=1$

Subtract. - $(-5 x+16)-(-15 x+20)$

Convert to decimal notation. - $2.982 \times 10^{7}$

Simplify. - $\left(x^{-4}\right)^{-4}$

Express using positive exponents. Then simplify. - $\frac{1}{x^{-m}}$

Write the number in scientific notation. -0.000008656

Multiply mentally - $\left(x-6 x^{3}\right)^{2}$

Add. -

Multiply. - $(2 x+7)(x+8)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $7 a ^{8}$

Simplify. - $\left(-5 x^{5} y\right)^{4}$

Collect like terms and then arrange in descending order. - $4 x^{4}+13 x^{6}-10 x^{4}+12 x^{6}-3 x^{6}$

Divide and simplify. - $\frac{x}{x^{13}}$

Multiply. - $(0.1 x-0.3)^{2}$

Identify the degree of each term and the degree of the polynomial. - $8 x^{2}-3 x+7$

Convert to decimal notation. - $6.19 \times 10^{-4}$

Multiply. -( $4 a+11 c)(4 a-11 c)$

Compute each expression and compare. - $6^{2}+8^{2} ;(6+8)^{2}$

Multiply. - $(6 p-7)(6 p+7)$

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

Multiply. - (x−5)(x−8)(x-5)(x-8)(x−5)(x−8)

Evaluate. - y11y^{11}y11 when y=1y=1y=1

Subtract. - (−5x+16)−(−15x+20)(-5 x+16)-(-15 x+20)(−5x+16)−(−15x+20)

Convert to decimal notation. - 2.982×1072.982 \times 10^{7}2.982×107

Simplify. - (x−4)−4\left(x^{-4}\right)^{-4}(x−4)−4

Express using positive exponents. Then simplify. - 1x−m\frac{1}{x^{-m}}x−m1​