Question 1

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

Accepted Answer

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

Question 2

Multiply or divide and write scientific notation for the result.
-$\frac{14.96 \times 10^{1}}{4.4 \times 10^{8}}$

Accepted Answer

A)  $3.4 \times 10^{9}$ 
B)  $6.8 \times 10^{9}$ 
C)  $6.8 \times 10^{-7}$ 
D)  $3.4 \times 10^{-7}$ 
A)  $3.4 \times 10^{9}$ 
B)  $6.8 \times 10^{9}$ 
C)  $6.8 \times 10^{-7}$ 
D)  $3.4 \times 10^{-7}$

Question 3

Multiply.
-$\left(0.1 x^{5}\right)\left(0.8 x^{3}\right)$

Accepted Answer

A)  $-0.08 x^{8}$ 
B)  $-0.08 x^{15}$ 
C)  $0.08 \mathrm{x}^{8}$ 
D)  $0.08 \mathrm{x}^{15}$ 
A)  $-0.08 x^{8}$ 
B)  $-0.08 x^{15}$ 
C)  $0.08 \mathrm{x}^{8}$ 
D)  $0.08 \mathrm{x}^{15}$

Question 4

Multiply.
-$(-9 y-7)\left(3 y^{2}-y-3\right)$

Accepted Answer

A)  $-27 y^{3}+34 y+21$ 
B)  $12 y^{2}+34 y+21$ 
C)  $-27 y^{3}-12 y^{2}+34 y+21$ 
D)  $-27 y^{3}-30 y^{2}+34 y+21$ 
A)  $-27 y^{3}+34 y+21$ 
B)  $12 y^{2}+34 y+21$ 
C)  $-27 y^{3}-12 y^{2}+34 y+21$ 
D)  $-27 y^{3}-30 y^{2}+34 y+21$

Question 5

Collect like terms and then arrange in descending order.
-$-9+7 x^{5}+6 x^{4}+4 x^{5}+4 x^{4}-9$

Accepted Answer

A)  $11+10 x^{5}-18 x^{4}$ 
B)  $3 x^{9}$ 
C)  $-5 x^{5}+11 x^{4}-3$ 
D)  $11 x^{5}+10 x^{4}-18$ 
A)  $11+10 x^{5}-18 x^{4}$ 
B)  $3 x^{9}$ 
C)  $-5 x^{5}+11 x^{4}-3$ 
D)  $11 x^{5}+10 x^{4}-18$

Question 6

Add.
-$\left(9 \mathrm{x}^{8}-7 \mathrm{x}^{3}+3 \mathrm{x}^{2}+7\right)+\left(4 \mathrm{x}^{7}+5 \mathrm{x}^{3}-4 \mathrm{x}\right)$

Accepted Answer

A)  $9 x^{8}+4 x^{7}-2 x^{3}+3 x^{2}-4 x+7$ 
B)  $9 x^{8}+4 x^{7}+2 x^{3}+3 x^{2}-4 x+7$ 
C)  $13 x^{8}-2 x^{3}+3 x^{2}-4 x+7$ 
D)  $13 x^{8}-12 x^{3}+3 x^{2}-4 x+7$ 
A)  $9 x^{8}+4 x^{7}-2 x^{3}+3 x^{2}-4 x+7$ 
B)  $9 x^{8}+4 x^{7}+2 x^{3}+3 x^{2}-4 x+7$ 
C)  $13 x^{8}-2 x^{3}+3 x^{2}-4 x+7$ 
D)  $13 x^{8}-12 x^{3}+3 x^{2}-4 x+7$

Question 7

Express using positive exponents. Then simplify.
-$(-3)^{-4}$

Accepted Answer

A)  $\frac{1}{12}$ 
B)  $-\frac{1}{81}$ 
C)  - 81 
D)  81 
A)  $\frac{1}{12}$ 
B)  $-\frac{1}{81}$ 
C)  - 81 
D)  81

Question 8

Evaluate the polynomial.
-$-5 x^{3}+4 x^{2}+3$, when $x=2$

Accepted Answer

A)  -29 
B)  -21 
C)  -31 
D)  -33 
A)  -29 
B)  -21 
C)  -31 
D)  -33

Question 9

Collect like terms and then arrange in descending order.
-$3 x^{6}+2 x^{8}-6 x^{6}+14 x^{8}-2 x^{8}$

Accepted Answer

A)  Can't be simplified 
B)  $11 \mathrm{x}^{8}$ 
C)  $14 x^{8}-3 x^{6}$ 
D)  $11 x^{14}$ 
A)  Can't be simplified 
B)  $11 \mathrm{x}^{8}$ 
C)  $14 x^{8}-3 x^{6}$ 
D)  $11 x^{14}$

Question 10

Divide and simplify.
-$\frac{(26 x)^{5}}{(26 x)^{6}}$

Accepted Answer

A)  $\frac{1}{26 x^{5}}$ 
B)  $26 x$ 
C)  $\frac{1}{26 x}$ 
D)  $\frac{1}{\mathrm{x}^{5}}$ 
A)  $\frac{1}{26 x^{5}}$ 
B)  $26 x$ 
C)  $\frac{1}{26 x}$ 
D)  $\frac{1}{\mathrm{x}^{5}}$

Question 11

Multiply and simplify.
-$3^{-3} \cdot 3^{5}$

Accepted Answer

A)  $3^{2}$ 
B)  1 
C)  $3^{5}$ 
D)  $3^{7}$ 
A)  $3^{2}$ 
B)  1 
C)  $3^{5}$ 
D)  $3^{7}$

Question 12

Evaluate.
-$m^{2}$ when $m=10$

Accepted Answer

A)  20 
B)  12 
C)  200 
D)  100 
A)  20 
B)  12 
C)  200 
D)  100

Question 13

Evaluate.
-$m^{3}$ when $m=5$

Accepted Answer

A)  125 
B)  4 
C)  15 
D)  8 
A)  125 
B)  4 
C)  15 
D)  8

Question 14

Multiply.
-$(\mathrm{w}-10)^{2}$

Accepted Answer

A)  $w^{2}+100$ 
B)  $w^{2}-20 w+100$ 
C)  $w+100$ 
D)  $100 w^{2}-20 w+100$ 
A)  $w^{2}+100$ 
B)  $w^{2}-20 w+100$ 
C)  $w+100$ 
D)  $100 w^{2}-20 w+100$

Question 15

Arrange the polynomial in descending order.
-$x^{6}+x+6 x^{3}+1+5 x^{2}$

Accepted Answer

A)  $1+x+5 x^{2}+6 x^{3}+x^{6}$ 
B)  $6 x^{3}+5 x^{2}+1+x^{6}+x$ 
C)  $x^{6}+6 x^{3}+5 x^{2}+x+1$ 
D)  $x+5 x^{2}+6 x^{3}+x^{6}+1$ 
A)  $1+x+5 x^{2}+6 x^{3}+x^{6}$ 
B)  $6 x^{3}+5 x^{2}+1+x^{6}+x$ 
C)  $x^{6}+6 x^{3}+5 x^{2}+x+1$ 
D)  $x+5 x^{2}+6 x^{3}+x^{6}+1$

Question 16

Multiply and simplify.
-$y^{4} \cdot y^{0}$

Accepted Answer

A)  $y^{40}$ 
B)  $y^{4}$ 
C)  0 
D)  1 
A)  $y^{40}$ 
B)  $y^{4}$ 
C)  0 
D)  1

Question 17

Multiply.
-$-11 x^{5}\left(-7 x^{5}-5 x^{2}\right)$

Accepted Answer

A)  $132 x^{5}$ 
B)  $132 x^{10}+132 x^{7}$ 
C)  $77 x^{10}+55 x^{7}$ 
D)  $77 x^{10}-5 x^{2}$ 
A)  $132 x^{5}$ 
B)  $132 x^{10}+132 x^{7}$ 
C)  $77 x^{10}+55 x^{7}$ 
D)  $77 x^{10}-5 x^{2}$

Question 18

Give the coefficient and degree of the term
-$5 x^{2} y^{2} z^{2}$

Accepted Answer

A)  5,7 
B)  5, 6 
C)  5, 2 
D)  5, degree undefined 
A)  5,7 
B)  5, 6 
C)  5, 2 
D)  5, degree undefined

Question 19

Multiply.
-$10 x^{7}\left(-8 x^{7}-11 x^{2}-8\right)$

Accepted Answer

A)  $-80 x^{14}-110 x^{9}-80 x^{7}$ 
B)  $-80 x^{7}-110 x^{2}-80$ 
C)  $-80 x^{14}-110 x^{9}$ 
D)  $-80 x^{14}-11 x^{2}-8$ 
A)  $-80 x^{14}-110 x^{9}-80 x^{7}$ 
B)  $-80 x^{7}-110 x^{2}-80$ 
C)  $-80 x^{14}-110 x^{9}$ 
D)  $-80 x^{14}-11 x^{2}-8$

Question 20

Convert to decimal notation.
-$4.93 \times 10^{-4}$

Accepted Answer

A)  $-493,000$ 
B)  0.000493 
C)  0.00493 
D)  0.0000493 
A)  $-493,000$ 
B)  0.000493 
C)  0.00493 
D)  0.0000493

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

Multiply or divide and write scientific notation for the result. - $\frac{14.96 \times 10^{1}}{4.4 \times 10^{8}}$

Multiply. - $\left(0.1 x^{5}\right)\left(0.8 x^{3}\right)$

Multiply. - $(-9 y-7)\left(3 y^{2}-y-3\right)$

Collect like terms and then arrange in descending order. - $-9+7 x^{5}+6 x^{4}+4 x^{5}+4 x^{4}-9$

Add. - $\left(9 \mathrm{x}^{8}-7 \mathrm{x}^{3}+3 \mathrm{x}^{2}+7\right)+\left(4 \mathrm{x}^{7}+5 \mathrm{x}^{3}-4 \mathrm{x}\right)$

Express using positive exponents. Then simplify. - $(-3)^{-4}$

Evaluate the polynomial. - $-5 x^{3}+4 x^{2}+3$ , when $x=2$

Collect like terms and then arrange in descending order. - $3 x^{6}+2 x^{8}-6 x^{6}+14 x^{8}-2 x^{8}$

Divide and simplify. - $\frac{(26 x)^{5}}{(26 x)^{6}}$

Multiply and simplify. - $3^{-3} \cdot 3^{5}$

Evaluate. - $m^{2}$ when $m=10$

Evaluate. - $m^{3}$ when $m=5$

Multiply. - $(\mathrm{w}-10)^{2}$

Arrange the polynomial in descending order. - $x^{6}+x+6 x^{3}+1+5 x^{2}$

Multiply and simplify. - $y^{4} \cdot y^{0}$

Multiply. - $-11 x^{5}\left(-7 x^{5}-5 x^{2}\right)$

Give the coefficient and degree of the term - $5 x^{2} y^{2} z^{2}$

Multiply. - $10 x^{7}\left(-8 x^{7}-11 x^{2}-8\right)$

Convert to decimal notation. - $4.93 \times 10^{-4}$

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. - (x2+3)2\left(x^{2}+3\right)^{2}(x2+3)2

Multiply or divide and write scientific notation for the result. - 14.96×1014.4×108\frac{14.96 \times 10^{1}}{4.4 \times 10^{8}}4.4×10814.96×101​

Multiply. - (0.1x5)(0.8x3)\left(0.1 x^{5}\right)\left(0.8 x^{3}\right)(0.1x5)(0.8x3)

Multiply. - (−9y−7)(3y2−y−3)(-9 y-7)\left(3 y^{2}-y-3\right)(−9y−7)(3y2−y−3)

Collect like terms and then arrange in descending order. - −9+7x5+6x4+4x5+4x4−9-9+7 x^{5}+6 x^{4}+4 x^{5}+4 x^{4}-9−9+7x5+6x4+4x5+4x4−9

Add. - (9x8−7x3+3x2+7)+(4x7+5x3−4x)\left(9 \mathrm{x}^{8}-7 \mathrm{x}^{3}+3 \mathrm{x}^{2}+7\right)+\left(4 \mathrm{x}^{7}+5 \mathrm{x}^{3}-4 \mathrm{x}\right)(9x8−7x3+3x2+7)+(4x7+5x3−4x)

Express using positive exponents. Then simplify. - (−3)−4(-3)^{-4}(−3)−4

Evaluate the polynomial. - −5x3+4x2+3-5 x^{3}+4 x^{2}+3−5x3+4x2+3 , when x=2x=2x=2

Collect like terms and then arrange in descending order. - 3x6+2x8−6x6+14x8−2x83 x^{6}+2 x^{8}-6 x^{6}+14 x^{8}-2 x^{8}3x6+2x8−6x6+14x8−2x8

Divide and simplify. - (26x)5(26x)6\frac{(26 x)^{5}}{(26 x)^{6}}(26x)6(26x)5​

Multiply and simplify. - 3−3⋅353^{-3} \cdot 3^{5}3−3⋅35

Evaluate. - m2m^{2}m2 when m=10m=10m=10

Evaluate. - m3m^{3}m3 when m=5m=5m=5

Multiply. - (w−10)2(\mathrm{w}-10)^{2}(w−10)2

Arrange the polynomial in descending order. - x6+x+6x3+1+5x2x^{6}+x+6 x^{3}+1+5 x^{2}x6+x+6x3+1+5x2

Multiply and simplify. - y4⋅y0y^{4} \cdot y^{0}y4⋅y0

Multiply. - −11x5(−7x5−5x2)-11 x^{5}\left(-7 x^{5}-5 x^{2}\right)−11x5(−7x5−5x2)

Give the coefficient and degree of the term - 5x2y2z25 x^{2} y^{2} z^{2}5x2y2z2

Multiply. - 10x7(−8x7−11x2−8)10 x^{7}\left(-8 x^{7}-11 x^{2}-8\right)10x7(−8x7−11x2−8)

Convert to decimal notation. - 4.93×10−44.93 \times 10^{-4}4.93×10−4