Question 1

Write the number in scientific notation.
-0.000048612

Accepted Answer

A)  $4.8612 \times 10^{-4}$ 
B)  $4.8612 \times 10^{4}$ 
C)  $4.8612 \times 10^{5}$ 
D)  $4.8612 \times 10^{-5}$ 
A)  $4.8612 \times 10^{-4}$ 
B)  $4.8612 \times 10^{4}$ 
C)  $4.8612 \times 10^{5}$ 
D)  $4.8612 \times 10^{-5}$

Question 2

Identify the coefficient of each term of the polynomial.
-$-7 x-2 y-a$

Accepted Answer

A)  $-7,-2,-1$ 
B)  -7 and -2 
C)  7,-2, 1 
D)  $-7,2,1$ 
A)  $-7,-2,-1$ 
B)  -7 and -2 
C)  7,-2, 1 
D)  $-7,2,1$

Question 3

Express using positive exponents. Then simplify.
-x-8

Accepted Answer

A)  $\frac{1}{x^{-8}}$ 
B)  $8 x$ 
C)  $\frac{1}{x^{8}}$ 
D)  $x^{8}$ 
A)  $\frac{1}{x^{-8}}$ 
B)  $8 x$ 
C)  $\frac{1}{x^{8}}$ 
D)  $x^{8}$

Question 4

Multiply.
-$(w-3)^{2}$

Accepted Answer

A)  $9 w^{2}-6 w+9$ 
B)  $w+9$ 
C)  $w^{2}+9$ 
D)  $w^{2}-6 w+9$ 
A)  $9 w^{2}-6 w+9$ 
B)  $w+9$ 
C)  $w^{2}+9$ 
D)  $w^{2}-6 w+9$

Question 5

Multiply and simplify.
-$y^{14} \cdot y^{0}$

Accepted Answer

A)  1 
B)  $\mathrm{y}^{140}$ 
C)  0 
D)  $y^{14}$ 
A)  1 
B)  $\mathrm{y}^{140}$ 
C)  0 
D)  $y^{14}$

Question 6

Multiply.
-$(5 y-3)\left(25 y^{2}+15 y+9\right)$

Accepted Answer

A)  $125 y^{3}+27$ 
B)  $25 y^{3}+27$ 
C)  $125 y^{3}-27$ 
D)  $125 y^{3}+45 y^{2}-27$ 
A)  $125 y^{3}+27$ 
B)  $25 y^{3}+27$ 
C)  $125 y^{3}-27$ 
D)  $125 y^{3}+45 y^{2}-27$

Question 7

Evaluate.
-$-\mathrm{p}^{4}$, when $\mathrm{p}=6$

Accepted Answer

A)  1296 
B)  5 
C)  24 
D)  -1296 
A)  1296 
B)  5 
C)  24 
D)  -1296

Question 8

Multiply or divide and write scientific notation for the result.
-$\left(4 \times 10^{7}\right) \div 10^{2}$

Accepted Answer

A)  $4 \times 10^{16}$ 
B)  $4 \times 10^{5}$ 
C)  $4 \times 10^{8}$ 
D)  $4 \times 10^{9}$ 
A)  $4 \times 10^{16}$ 
B)  $4 \times 10^{5}$ 
C)  $4 \times 10^{8}$ 
D)  $4 \times 10^{9}$

Question 9

Divide
-$\frac{4 x^{3} y^{2}+4 x^{5} y^{6}-4 x^{6} y^{3}}{2 x^{3} y^{2}}$

Accepted Answer

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

Question 10

Solve the problem.
-Find a polynomial for the sum of the areas of these circles.

Accepted Answer

A)  $\pi r^{2}+260 \pi$ 
B)  $\pi+260$ 
C)  $(260+\pi) r^{2}$ 
D)  $\pi r^{2}+196 \pi$ 
A)  $\pi r^{2}+260 \pi$ 
B)  $\pi+260$ 
C)  $(260+\pi) r^{2}$ 
D)  $\pi r^{2}+196 \pi$

Question 11

Simplify.
-$\left(-3 p^{-4} q^{4} r^{-4}\right)^{6}$

Accepted Answer

A)  $\frac{(-3)^{6} q^{24}}{p^{24} r^{24}}$ 
B)  $(-3)^{6} \mathrm{p}^{24} \mathrm{q}^{24} \mathrm{r} 24$ 
C)  $\frac{(-3)^{6}}{p^{24} q^{24} r^{24}}$ 
D)  $\frac{(-3)^{6} \mathrm{p}^{24}}{\mathrm{q}^{24} \mathrm{r}^{24}}$ 
A)  $\frac{(-3)^{6} q^{24}}{p^{24} r^{24}}$ 
B)  $(-3)^{6} \mathrm{p}^{24} \mathrm{q}^{24} \mathrm{r} 24$ 
C)  $\frac{(-3)^{6}}{p^{24} q^{24} r^{24}}$ 
D)  $\frac{(-3)^{6} \mathrm{p}^{24}}{\mathrm{q}^{24} \mathrm{r}^{24}}$

Question 12

Multiply.
-$(7 y+x)(7 y-x)$

Accepted Answer

A)  $49 y^{2}+14 x y-x^{2}$ 
B)  $49 y^{2}-x^{2}$ 
C)  $14 y^{2}-x^{2}$ 
D)  $49 y^{2}-14 x y-x^{2}$ 
E)  $16 a^{2}+88 a c-121 c^{2}$ 
A)  $49 y^{2}+14 x y-x^{2}$ 
B)  $49 y^{2}-x^{2}$ 
C)  $14 y^{2}-x^{2}$ 
D)  $49 y^{2}-14 x y-x^{2}$ 
E)  $16 a^{2}+88 a c-121 c^{2}$

Question 13

Multiply and simplify.
-$\left(m n^{4}\right)\left(m^{2} n^{7}\right)$

Accepted Answer

A)  $m^{3} n^{11}$ 
B)  $m^{2} n^{28}$ 
C)  $2 m^{3} 2 n^{11}$ 
D)  $m^{2} n 11$ 
A)  $m^{3} n^{11}$ 
B)  $m^{2} n^{28}$ 
C)  $2 m^{3} 2 n^{11}$ 
D)  $m^{2} n 11$

Question 14

Simplify.
-$-(-6 x)$

Accepted Answer

A)  $6 x$ 
B)  $\frac{1}{6} x$ 
C)  0 
D)  $-6 x$ 
A)  $6 x$ 
B)  $\frac{1}{6} x$ 
C)  0 
D)  $-6 x$

Question 15

Add.
-

Accepted Answer

A)  $15+3 x^{5}-4 x^{3}$ 
B)  $14 x^{8}$ 
C)  $5 x^{5}+14 x^{3}-5$ 
D)  $15 x^{5}+3 x^{3}-4$ 
A)  $15+3 x^{5}-4 x^{3}$ 
B)  $14 x^{8}$ 
C)  $5 x^{5}+14 x^{3}-5$ 
D)  $15 x^{5}+3 x^{3}-4$

Question 16

Multiply.
-$5 x^{6}\left(9 x^{6}+11 x^{3}+10\right)$

Accepted Answer

A)  $45 x^{12}+11 x^{3}+10$ 
B)  $45 x^{6}+55 x^{3}+50$ 
C)  $45 x^{12}+55 x^{9}$ 
D)  $45 x^{12}+55 x^{9}+50 x^{6}$ 
A)  $45 x^{12}+11 x^{3}+10$ 
B)  $45 x^{6}+55 x^{3}+50$ 
C)  $45 x^{12}+55 x^{9}$ 
D)  $45 x^{12}+55 x^{9}+50 x^{6}$

Question 17

Solve the problem.
-During the first seconds, the height $h$ in feet of a baseball after $t$ seconds is given by $h=-16 t^{2}+82 t$ + 4.2. Use the graph below to estimate the height of the ball after 3 seconds.

Accepted Answer

A)  -144 feet 
B)  106 feet 
C)  88 feet 
D)  142 feet 
A)  -144 feet 
B)  106 feet 
C)  88 feet 
D)  142 feet

Question 18

Multiply.
-$\left(\frac{1}{8} x^{5}\right)\left(\frac{1}{4} x^{7}\right)$

Accepted Answer

A)  $\frac{1}{32} x^{12}$ 
B)  $-\frac{1}{32} x^{12}$ 
C)  $\frac{1}{12} x^{35}$ 
D)  $\frac{1}{32} x^{35}$ 
A)  $\frac{1}{32} x^{12}$ 
B)  $-\frac{1}{32} x^{12}$ 
C)  $\frac{1}{12} x^{35}$ 
D)  $\frac{1}{32} x^{35}$

Question 19

Simplify.
-$-\left(-5 x^{4}-7 x^{3}-x^{2}+2.6\right)$

Accepted Answer

A)  $5 x^{4}-7 x^{3}-x^{2}+2.6$ 
B)  $-5 x^{4}-7 x^{3}-x^{2}+2.6$ 
C)  $5 x^{4}-7 x^{3}+x^{2}-2.6$ 
D)  $5 x^{4}+7 x^{3}+x^{2}-2.6$ 
A)  $5 x^{4}-7 x^{3}-x^{2}+2.6$ 
B)  $-5 x^{4}-7 x^{3}-x^{2}+2.6$ 
C)  $5 x^{4}-7 x^{3}+x^{2}-2.6$ 
D)  $5 x^{4}+7 x^{3}+x^{2}-2.6$

Question 20

Express using positive exponents. Then simplify.
-$\left(\frac{1}{3}\right)^{-2}$

Accepted Answer

A)  $\frac{1}{9}$ 
B)  9 
C)  $-\frac{1}{9}$ 
D)  - 9 
A)  $\frac{1}{9}$ 
B)  9 
C)  $-\frac{1}{9}$ 
D)  - 9

Write the number in scientific notation. -0.000048612

Identify the coefficient of each term of the polynomial. - $-7 x-2 y-a$

Express using positive exponents. Then simplify. -x^-8

Multiply. - $(w-3)^{2}$

Multiply and simplify. - $y^{14} \cdot y^{0}$

Multiply. - $(5 y-3)\left(25 y^{2}+15 y+9\right)$

Evaluate. - $-\mathrm{p}^{4}$ , when $\mathrm{p}=6$

Multiply or divide and write scientific notation for the result. - $\left(4 \times 10^{7}\right) \div 10^{2}$

Divide - $\frac{4 x^{3} y^{2}+4 x^{5} y^{6}-4 x^{6} y^{3}}{2 x^{3} y^{2}}$

Solve the problem. -Find a polynomial for the sum of the areas of these circles.

Simplify. - $\left(-3 p^{-4} q^{4} r^{-4}\right)^{6}$

Multiply. - $(7 y+x)(7 y-x)$

Multiply and simplify. - $\left(m n^{4}\right)\left(m^{2} n^{7}\right)$

Simplify. - $-(-6 x)$

Add. -

Multiply. - $5 x^{6}\left(9 x^{6}+11 x^{3}+10\right)$

Multiply. - $\left(\frac{1}{8} x^{5}\right)\left(\frac{1}{4} x^{7}\right)$

Simplify. - $-\left(-5 x^{4}-7 x^{3}-x^{2}+2.6\right)$

Express using positive exponents. Then simplify. - $\left(\frac{1}{3}\right)^{-2}$

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

Write the number in scientific notation. -0.000048612

Identify the coefficient of each term of the polynomial. - −7x−2y−a-7 x-2 y-a−7x−2y−a

Express using positive exponents. Then simplify. -x-8

Multiply. - (w−3)2(w-3)^{2}(w−3)2

Multiply and simplify. - y14⋅y0y^{14} \cdot y^{0}y14⋅y0

Multiply. - (5y−3)(25y2+15y+9)(5 y-3)\left(25 y^{2}+15 y+9\right)(5y−3)(25y2+15y+9)

Evaluate. - −p4-\mathrm{p}^{4}−p4 , when p=6\mathrm{p}=6p=6

Multiply or divide and write scientific notation for the result. - (4×107)÷102\left(4 \times 10^{7}\right) \div 10^{2}(4×107)÷102

Divide - 4x3y2+4x5y6−4x6y32x3y2\frac{4 x^{3} y^{2}+4 x^{5} y^{6}-4 x^{6} y^{3}}{2 x^{3} y^{2}}2x3y24x3y2+4x5y6−4x6y3​