Question 1

Multiply mentally.
-$(t+10)\left(t^{2}-10 t+100\right)$

Accepted Answer

A)  $t^{3}+100 t^{2}+1000$ 
B)  $t^{3}-1000$ 
C)  $t^{3}-100 t^{2}-1000$ 
D)  $t^{3}+1000$ 
A)  $t^{3}+100 t^{2}+1000$ 
B)  $t^{3}-1000$ 
C)  $t^{3}-100 t^{2}-1000$ 
D)  $t^{3}+1000$

Question 2

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

Accepted Answer

A)  20 
B)  16 
C)  36 
D)  4 
A)  20 
B)  16 
C)  36 
D)  4

Question 3

Multiply.
-$-4(-5 \mathrm{x}-2)$

Accepted Answer

A)  $20 x+8$ 
B)  $20 \mathrm{x}-2$ 
C)  $-5 x+8$ 
D)  $28 x$ 
A)  $20 x+8$ 
B)  $20 \mathrm{x}-2$ 
C)  $-5 x+8$ 
D)  $28 x$

Question 4

Give the coefficient and degree of the term
-$-11 y^{13}$

Accepted Answer

A)  $13,-11$ 
B)  11,13 
C)  $-11,13$ 
D)  13,11 
A)  $13,-11$ 
B)  11,13 
C)  $-11,13$ 
D)  13,11

Question 5

Solve the problem.
-Participants in a memorization experiment were able to recall an average of $D$ digits in $t$ minutes, where $\mathrm{D}=-0.4 \mathrm{t}^{2}+12 \mathrm{t}$. Use the graph below to estimate the number of digits recalled after 9 minutes.

Accepted Answer

A)  55 digits 
B)  115 digits 
C)  75 digits 
D)  95 digits 
A)  55 digits 
B)  115 digits 
C)  75 digits 
D)  95 digits

Question 6

Divide.
-$\left(36 x^{8}+40 x^{5}-28 x^{2}\right) \div\left(-4 x^{2}\right)$

Accepted Answer

A)  $36 x^{6}+40 x^{3}-28$ 
B)  $-9 x^{8}-10 x^{5}+7 x^{2}$ 
C)  $-9 x^{6}+40 x^{5}-28 x^{2}$ 
D)  $-9 x^{6}-10 x^{3}+7$ 
A)  $36 x^{6}+40 x^{3}-28$ 
B)  $-9 x^{8}-10 x^{5}+7 x^{2}$ 
C)  $-9 x^{6}+40 x^{5}-28 x^{2}$ 
D)  $-9 x^{6}-10 x^{3}+7$

Question 7

Express using positive exponents. Then simplify.
-$\left(\frac{1}{5}\right)^{-3}$

Accepted Answer

A)  -125 
B)  125 
C)  $\frac{1}{125}$ 
D)  $\frac{1}{15}$ 
A)  -125 
B)  125 
C)  $\frac{1}{125}$ 
D)  $\frac{1}{15}$

Question 8

Multiply.
-$-10 x^{3}\left(5 x^{7}+2 x^{5}+10\right)$

Accepted Answer

A)  $-50 x^{10}+2 x^{5}+10$ 
B)  $-50 x^{10}-20 x^{8}$ 
C)  $-50 x^{10}-20 x^{8}-100 x^{3}$ 
D)  $-50 x^{7}-20 x^{5}-100$ 
A)  $-50 x^{10}+2 x^{5}+10$ 
B)  $-50 x^{10}-20 x^{8}$ 
C)  $-50 x^{10}-20 x^{8}-100 x^{3}$ 
D)  $-50 x^{7}-20 x^{5}-100$

Question 9

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.
-$-11 s^{5}+6 s-4$

Accepted Answer

A)  Trinomial, degree 6 
B)  Binomial, degree 6 
C)  Trinomial, degree 7 
D)  Trinomial, degree 5 
A)  Trinomial, degree 6 
B)  Binomial, degree 6 
C)  Trinomial, degree 7 
D)  Trinomial, degree 5

Question 10

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

Accepted Answer

A)  $(-5)^{16} \mathrm{a} ^{16}$ 
B)  $(-5)^{16} \mathrm{a} ^{4}$ 
C)  $-20 a^{4}$ 
D)  $(-5) ^{4} \mathrm{a} ^{16}$ 
A)  $(-5)^{16} \mathrm{a} ^{16}$ 
B)  $(-5)^{16} \mathrm{a} ^{4}$ 
C)  $-20 a^{4}$ 
D)  $(-5) ^{4} \mathrm{a} ^{16}$

Question 11

What is the meaning of the expression?
-32

Accepted Answer

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

Question 12

Multiply.
-$\left(4-x^{6}\right)\left(4+x^{6}\right)$

Accepted Answer

A)  $16-x^{12}$ 
B)  $16-x^{6}$ 
C)  $16+x^{6}$ 
D)  $16-x^{36}$ 
A)  $16-x^{12}$ 
B)  $16-x^{6}$ 
C)  $16+x^{6}$ 
D)  $16-x^{36}$

Multiply mentally. - $(t+10)\left(t^{2}-10 t+100\right)$

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

Multiply. - $-4(-5 \mathrm{x}-2)$

Give the coefficient and degree of the term - $-11 y^{13}$

Divide. - $\left(36 x^{8}+40 x^{5}-28 x^{2}\right) \div\left(-4 x^{2}\right)$

Express using positive exponents. Then simplify. - $\left(\frac{1}{5}\right)^{-3}$

Multiply. - $-10 x^{3}\left(5 x^{7}+2 x^{5}+10\right)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - $-11 s^{5}+6 s-4$

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

What is the meaning of the expression? -32

Multiply. - $\left(4-x^{6}\right)\left(4+x^{6}\right)$

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

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 4: Polynomials: Operations

Multiply mentally. - (t+10)(t2−10t+100)(t+10)\left(t^{2}-10 t+100\right)(t+10)(t2−10t+100)

Evaluate the polynomial. - x2+y2−z2x^{2}+y^{2}-z^{2}x2+y2−z2 for x=2,y=4x=2, y=4x=2,y=4 , and z=4z=4z=4

Multiply. - −4(−5x−2)-4(-5 \mathrm{x}-2)−4(−5x−2)

Give the coefficient and degree of the term - −11y13-11 y^{13}−11y13

Solve the problem. -Participants in a memorization experiment were able to recall an average of DDD digits in ttt minutes, where D=−0.4t2+12t\mathrm{D}=-0.4 \mathrm{t}^{2}+12 \mathrm{t}D=−0.4t2+12t . Use the graph below to estimate the number of digits recalled after 9 minutes.

Divide. - (36x8+40x5−28x2)÷(−4x2)\left(36 x^{8}+40 x^{5}-28 x^{2}\right) \div\left(-4 x^{2}\right)(36x8+40x5−28x2)÷(−4x2)

Express using positive exponents. Then simplify. - (15)−3\left(\frac{1}{5}\right)^{-3}(51​)−3

Multiply. - −10x3(5x7+2x5+10)-10 x^{3}\left(5 x^{7}+2 x^{5}+10\right)−10x3(5x7+2x5+10)

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree. - −11s5+6s−4-11 s^{5}+6 s-4−11s5+6s−4

Simplify. - (−5a4)4\left(-5 a^{4}\right)^{4}(−5a4)4