Question 1

Express using positive exponents. Then simplify.
-$\frac{1}{x^{-7}}$

Accepted Answer

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

Question 2

Multiply.
-$\left(9 y^{2}-4\right)\left(9 y^{2}+4\right)$

Accepted Answer

A)  $81 y^{4}-72 y^{2}+72$ 
B)  $9 y^{2}-16$ 
C)  $81 y^{4}-16$ 
D)  $81 y^{2}+16$ 
A)  $81 y^{4}-72 y^{2}+72$ 
B)  $9 y^{2}-16$ 
C)  $81 y^{4}-16$ 
D)  $81 y^{2}+16$

Question 3

Solve the problem.
-The height $\mathrm{H}$ (in feet) of a ball thrown into the air from the top of a building after $t$ seconds is given by $\mathrm{H}=-16 \mathrm{t}^{2}+76 \mathrm{t}+217$. Use the graph below to find the approximate value of $-16 t^{2}+76 t+217$ for $x=1$.

Accepted Answer

A)  377 feet 
B)  237 feet 
C)  277 feet 
D)  317 feet 
A)  377 feet 
B)  237 feet 
C)  277 feet 
D)  317 feet

Question 4

Subtract.
-

Accepted Answer

A)  $-2 x^{6}-9 x^{5}-32$ 
B)  $-2 x^{6}-9 x^{5}-6$ 
C)  $-2 x^{6}-4 x^{5}-32$ 
D)  $-17 x^{11}$ 
A)  $-2 x^{6}-9 x^{5}-32$ 
B)  $-2 x^{6}-9 x^{5}-6$ 
C)  $-2 x^{6}-4 x^{5}-32$ 
D)  $-17 x^{11}$

Question 5

Collect like terms.
-$15 a^{4}-9 a^{4}+11 a^{3}+11 a^{4}-2 a^{3}$

Accepted Answer

A)  Can't be simplified 
B)  $26 a^{4}$ 
C)  $26 a^{7}$ 
D)  $17 a^{4}+9 a^{3}$ 
A)  Can't be simplified 
B)  $26 a^{4}$ 
C)  $26 a^{7}$ 
D)  $17 a^{4}+9 a^{3}$

Question 6

Multiply.
-$(2 x+11)(2 x-11)$

Accepted Answer

A)  $2 x^{2}-44 x-121$ 
B)  $4 x^{2}+44 x-121$ 
C)  $4 x^{2}-44 x-121$ 
D)  $4 x^{2}-121$ 
A)  $2 x^{2}-44 x-121$ 
B)  $4 x^{2}+44 x-121$ 
C)  $4 x^{2}-44 x-121$ 
D)  $4 x^{2}-121$

Question 7

Multiply.
-$\left(3 x^{2}\right)(0)$

Accepted Answer

A)  3 
B)  $3 x^{2}$ 
C)  0 
D)  1 
A)  3 
B)  $3 x^{2}$ 
C)  0 
D)  1

Question 8

Write the number in scientific notation.
-0.000543

Accepted Answer

A)  $5.43 \times 10^{-5}$ 
B)  $5.43 \times 10^{4}$ 
C)  $5.43 \times 10^{-3}$ 
D)  $5.43 \times 10^{-4}$ 
A)  $5.43 \times 10^{-5}$ 
B)  $5.43 \times 10^{4}$ 
C)  $5.43 \times 10^{-3}$ 
D)  $5.43 \times 10^{-4}$

Question 9

Perform the division.
-$\frac{-6 x^{3}-11 x^{2}+22 x-8}{3 x-2}$

Accepted Answer

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

Question 10

Divide and simplify.
-$\frac{y^{-11}}{y^{4}}$

Accepted Answer

A)  $y^{7}$ 
B)  $\frac{1}{y^{-7}}$ 
C)  $\frac{1}{y^{15}}$ 
D)  $y^{15}$ 
A)  $y^{7}$ 
B)  $\frac{1}{y^{-7}}$ 
C)  $\frac{1}{y^{15}}$ 
D)  $y^{15}$

Question 11

Multiply.
-$\left(2 m^{2}+m+2\right)(5 m+9)$

Accepted Answer

A)  $7 m^{2}+19 m+18$ 
B)  $10 m^{3}+13 m^{2}+19 m+18$ 
C)  $10 m^{3}+23 m^{2}+19 m+18$ 
D)  $10 m^{3}+19 m+18$ 
A)  $7 m^{2}+19 m+18$ 
B)  $10 m^{3}+13 m^{2}+19 m+18$ 
C)  $10 m^{3}+23 m^{2}+19 m+18$ 
D)  $10 m^{3}+19 m+18$

Question 12

Collect like terms and then arrange in descending order.
-$-1+3 x+\frac{4}{9} x^{3}+10-x+\frac{7}{9} x^{3}$

Accepted Answer

A)  $\frac{11}{9} x^{3}+4 x+9$ 
B)  $\frac{11}{9} x^{3}+2 x+9$ 
C)  $\frac{11}{18} x^{3}+2 x+9$ 
D)  $\frac{11}{9} x^{3}+2 x+11$ 
A)  $\frac{11}{9} x^{3}+4 x+9$ 
B)  $\frac{11}{9} x^{3}+2 x+9$ 
C)  $\frac{11}{18} x^{3}+2 x+9$ 
D)  $\frac{11}{9} x^{3}+2 x+11$

Question 13

Evaluate.
--150

Accepted Answer

A)  0 
B)  1 
C)  -1 
D)  -15 
A)  0 
B)  1 
C)  -1 
D)  -15

Question 14

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

Accepted Answer

A)  $x^{4}+2 x^{3} y+2 x^{2} y^{2}+11 x y^{3}+4 y^{4}$ 
B)  $x^{4}+4 x^{3} y+8 x^{2} y^{2}+11 x y^{3}+4 y^{4}$ 
C)  $x^{4}+2 x^{3} y+2 x^{2} y^{2}+13 x y^{3}-4 y^{4}$ 
D)  $x^{4}+4 x^{3} y+2 x^{2} y^{2}+11 x y^{3}-4 y^{4}$ 
A)  $x^{4}+2 x^{3} y+2 x^{2} y^{2}+11 x y^{3}+4 y^{4}$ 
B)  $x^{4}+4 x^{3} y+8 x^{2} y^{2}+11 x y^{3}+4 y^{4}$ 
C)  $x^{4}+2 x^{3} y+2 x^{2} y^{2}+13 x y^{3}-4 y^{4}$ 
D)  $x^{4}+4 x^{3} y+2 x^{2} y^{2}+11 x y^{3}-4 y^{4}$

Question 15

Simplify.
-$\left(\frac{5}{b^{-3}}\right)^{5}$

Accepted Answer

A)  $\frac{3125}{b^{15}}$ 
B)  $\frac{1}{3125 b^{15}}$ 
C)  $3125 b^{15}$ 
D)  $\frac{b^{15}}{3125}$ 
A)  $\frac{3125}{b^{15}}$ 
B)  $\frac{1}{3125 b^{15}}$ 
C)  $3125 b^{15}$ 
D)  $\frac{b^{15}}{3125}$

Question 16

Multiply and simplify.
-$5^{9} \cdot 5^{-2}$

Accepted Answer

A)  $5^{2}$ 
B)  $5^{9}$ 
C)  $5^{5}$ 
D)  $5^{7}$ 
A)  $5^{2}$ 
B)  $5^{9}$ 
C)  $5^{5}$ 
D)  $5^{7}$

Question 17

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

Accepted Answer

A)  $x^{4}$ 
B)  $\frac{1}{x^{2}}$ 
C)  $x^{2}$ 
D)  $\frac{1}{x^{4}}$ 
A)  $x^{4}$ 
B)  $\frac{1}{x^{2}}$ 
C)  $x^{2}$ 
D)  $\frac{1}{x^{4}}$

Question 18

Collect like terms
-$8 x^{2} y+2 z^{2} y+3 x^{2} y+7 z^{2} y$

Accepted Answer

A)  $20 z^{2} y$ 
B)  $9 x^{2} y+11 z^{2} y$ 
C)  $11 x^{2} y+9 z^{2} y$ 
D)  $20 x^{2} y$ 
A)  $20 z^{2} y$ 
B)  $9 x^{2} y+11 z^{2} y$ 
C)  $11 x^{2} y+9 z^{2} y$ 
D)  $20 x^{2} y$

Question 19

Add.
-

Accepted Answer

A)  $11 x^{8}-11 x^{6}-16 x^{4}+8$ 
B)  $-16 x^{18}+8$ 
C)  $2 x^{4}+2 x^{3}+10 x^{2}-4$ 
D)  $11 x^{4}-11 x^{3}-16 x^{2}+8$ 
A)  $11 x^{8}-11 x^{6}-16 x^{4}+8$ 
B)  $-16 x^{18}+8$ 
C)  $2 x^{4}+2 x^{3}+10 x^{2}-4$ 
D)  $11 x^{4}-11 x^{3}-16 x^{2}+8$

Question 20

Multiply.
-$\left(x+\frac{1}{3}\right)\left(2 x^{3}+4 x^{2}-4 x-4\right)$

Accepted Answer

A)  $2 x^{4}+\frac{14}{3} x^{3}-\frac{8}{3} x^{2}-\frac{16}{3} x-\frac{4}{3}$ 
B)  $2 x^{4}+\frac{14}{3} x^{3}+\frac{16}{3} x^{2}+\frac{16}{3} x-\frac{4}{3}$ 
C)  $2 x^{4}+\frac{14}{3} x^{3}+\frac{16}{3} x^{2}-\frac{16}{3} x-\frac{4}{3}$ 
D)  $2 x^{4}-\frac{14}{3} x^{3}+\frac{8}{3} x^{2}-\frac{16}{3} x+\frac{4}{3}$ 
A)  $2 x^{4}+\frac{14}{3} x^{3}-\frac{8}{3} x^{2}-\frac{16}{3} x-\frac{4}{3}$ 
B)  $2 x^{4}+\frac{14}{3} x^{3}+\frac{16}{3} x^{2}+\frac{16}{3} x-\frac{4}{3}$ 
C)  $2 x^{4}+\frac{14}{3} x^{3}+\frac{16}{3} x^{2}-\frac{16}{3} x-\frac{4}{3}$ 
D)  $2 x^{4}-\frac{14}{3} x^{3}+\frac{8}{3} x^{2}-\frac{16}{3} x+\frac{4}{3}$

Express using positive exponents. Then simplify. - $\frac{1}{x^{-7}}$

Multiply. - $\left(9 y^{2}-4\right)\left(9 y^{2}+4\right)$

Subtract. -

Collect like terms. - $15 a^{4}-9 a^{4}+11 a^{3}+11 a^{4}-2 a^{3}$

Multiply. - $(2 x+11)(2 x-11)$

Multiply. - $\left(3 x^{2}\right)(0)$

Write the number in scientific notation. -0.000543

Perform the division. - $\frac{-6 x^{3}-11 x^{2}+22 x-8}{3 x-2}$

Divide and simplify. - $\frac{y^{-11}}{y^{4}}$

Multiply. - $\left(2 m^{2}+m+2\right)(5 m+9)$

Collect like terms and then arrange in descending order. - $-1+3 x+\frac{4}{9} x^{3}+10-x+\frac{7}{9} x^{3}$

Evaluate. --15⁰

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

Simplify. - $\left(\frac{5}{b^{-3}}\right)^{5}$

Multiply and simplify. - $5^{9} \cdot 5^{-2}$

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

Collect like terms - $8 x^{2} y+2 z^{2} y+3 x^{2} y+7 z^{2} y$

Add. -

Multiply. - $\left(x+\frac{1}{3}\right)\left(2 x^{3}+4 x^{2}-4 x-4\right)$

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

Express using positive exponents. Then simplify. - 1x−7\frac{1}{x^{-7}}x−71​

Multiply. - (9y2−4)(9y2+4)\left(9 y^{2}-4\right)\left(9 y^{2}+4\right)(9y2−4)(9y2+4)