Question 1

Collect like terms
-$11 n^{3}+6 n^{3}$

Accepted Answer

A)  $66 n^{6}$ 
B)  $17 n^{3}$ 
C)  $66 n^{3}$ 
D)  $17 \mathrm{n}^{6}$ 
A)  $66 n^{6}$ 
B)  $17 n^{3}$ 
C)  $66 n^{3}$ 
D)  $17 \mathrm{n}^{6}$

Question 2

Multiply and simplify.
-$y^{-9} \cdot y^{-4}$

Accepted Answer

A)  $\frac{1}{y^{13}}$ 
B)  $\frac{1}{y^{-13}}$ 
C)  $y^{13}$ 
D)  $\frac{1}{y^{5}}$ 
A)  $\frac{1}{y^{13}}$ 
B)  $\frac{1}{y^{-13}}$ 
C)  $y^{13}$ 
D)  $\frac{1}{y^{5}}$

Question 3

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-If the distance from the earth to the sun were $84,000,000$ miles. How long would it take a rocket, traveling at $2.4 \times 10^{3}$ miles per hour, to reach the sun? (Round to three places)

Accepted Answer

A)  $3.5 \mathrm{hr}$ 
B)  $3.5 \times 10^{2} \mathrm{hr}$ 
C)  $3.5 \times 10^{3} \mathrm{hr}$ 
D)  $3.5 \times 10^{4} \mathrm{hr}$ 
A)  $3.5 \mathrm{hr}$ 
B)  $3.5 \times 10^{2} \mathrm{hr}$ 
C)  $3.5 \times 10^{3} \mathrm{hr}$ 
D)  $3.5 \times 10^{4} \mathrm{hr}$

Question 4

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

Accepted Answer

A)  $9 x^{2}+140 x-\frac{100}{49}$ 
B)  $9 x^{2}-\frac{100}{49}$ 
C)  $9 x^{2}-140 x-\frac{100}{49}$ 
D)  $9 x^{4}-\frac{100}{49}$ 
A)  $9 x^{2}+140 x-\frac{100}{49}$ 
B)  $9 x^{2}-\frac{100}{49}$ 
C)  $9 x^{2}-140 x-\frac{100}{49}$ 
D)  $9 x^{4}-\frac{100}{49}$

Question 5

Solve the problem.
-During the first seconds, the height $h$ in feet of a baseball after $t$ seconds is given by $h=-16 t^{2}+83 t$ +3.6 . Use the graph below to estimate the height of the ball after 4 seconds.

Accepted Answer

A)  179 feet 
B)  79 feet 
C)  35 feet 
D)  335 feet 
A)  179 feet 
B)  79 feet 
C)  35 feet 
D)  335 feet

Question 6

Write the polynomial in two ways: with its missing terms and by leaving space for them.
-$7 x^{4}-6 x^{2}+3 x$

Accepted Answer

A)  $7 x^{4}+0 x^{3}-6 x^{2}+3 x$
$7 x^{4}-6 x^{2}+3 x$ 
B)  $7 x^{4}+0 x^{3}-6 x^{2}+3 x+0$
$7 x^{4}-6 x^{2}+3 x$ 
C)  $\begin{aligned} & 7 x^{4}+0 x^{3}+6 x^{2}+3 x+0 \ & 7 x^{4}+6 x^{2}+3 x\end{aligned}$ 
D)  $7 x^{4}-6 x^{2}+3 x+0$
$7 x^{4}-6 x^{2}+3 x$ 
A)  $7 x^{4}+0 x^{3}-6 x^{2}+3 x$
$7 x^{4}-6 x^{2}+3 x$ 
B)  $7 x^{4}+0 x^{3}-6 x^{2}+3 x+0$
$7 x^{4}-6 x^{2}+3 x$ 
C)  $\begin{aligned} & 7 x^{4}+0 x^{3}+6 x^{2}+3 x+0 \ & 7 x^{4}+6 x^{2}+3 x\end{aligned}$ 
D)  $7 x^{4}-6 x^{2}+3 x+0$
$7 x^{4}-6 x^{2}+3 x$

Question 7

Find the degree of the polynomial.
-$x y z^{4}+x^{4} y^{4}+x z^{3}$

Accepted Answer

A)  3 
B)  8 
C)  6 
D)  4 
A)  3 
B)  8 
C)  6 
D)  4

Question 8

Multiply.
-$(x-0.6)(x+0.6)$

Accepted Answer

A)  $x^{2}-1.2 x+0.36$ 
B)  $x^{2}-1.2 x-0.36$ 
C)  $x^{2}-0.36$ 
D)  $x^{2}+0.36$ 
A)  $x^{2}-1.2 x+0.36$ 
B)  $x^{2}-1.2 x-0.36$ 
C)  $x^{2}-0.36$ 
D)  $x^{2}+0.36$

Question 9

Perform the division.
-$\frac{z^{3}-64}{z-4}$

Accepted Answer

A)  $z^{2}+4 z-16$ 
B)  $z^{2}+8 z+16$ 
C)  $z^{2}-4 z+16$ 
D)  $z^{2}+4 z+16$ 
A)  $z^{2}+4 z-16$ 
B)  $z^{2}+8 z+16$ 
C)  $z^{2}-4 z+16$ 
D)  $z^{2}+4 z+16$

Question 10

Express using positive exponents. Then simplify.
-4-3

Accepted Answer

A)  -64 
B)  64 
C)  $\frac{1}{12}$ 
D)  $\frac{1}{64}$ 
A)  -64 
B)  64 
C)  $\frac{1}{12}$ 
D)  $\frac{1}{64}$

Question 11

Divide
-$\frac{80 x^{5}-80 x}{8}$

Accepted Answer

A)  $80 x^{5}-10 x$ 
B)  $10 x^{4}-10$ 
C)  $10 x^{5}-10 x$ 
D)  $10 x^{5}-80 x$ 
A)  $80 x^{5}-10 x$ 
B)  $10 x^{4}-10$ 
C)  $10 x^{5}-10 x$ 
D)  $10 x^{5}-80 x$

Question 12

Multiply.
-$\left(5 x^{2}-4\right)\left(x^{6}-3\right)$

Accepted Answer

A)  $5 x^{12}-4 x^{6}-15 x^{2}-12$ 
B)  $15 x^{8}-4 x^{6}-15 x^{2}+12$ 
C)  $5 x^{8}-4 x^{6}-15 x^{2}+12$ 
D)  $5 x^{12}-4 x^{6}+15 x^{2}-12$ 
A)  $5 x^{12}-4 x^{6}-15 x^{2}-12$ 
B)  $15 x^{8}-4 x^{6}-15 x^{2}+12$ 
C)  $5 x^{8}-4 x^{6}-15 x^{2}+12$ 
D)  $5 x^{12}-4 x^{6}+15 x^{2}-12$

Question 13

Add.
-$\left(5 x^{8}-8 x^{5}+4 x^{2}+6\right)+\left(6 x^{7}+3 x^{5}-4 x\right)$

Accepted Answer

A)  $11 x^{8}-11 x^{5}+4 x^{2}-4 x+6$ 
B)  $11 x^{8}-5 x^{5}+4 x^{2}-4 x+6$ 
C)  $5 x^{8}+6 x^{7}+5 x^{5}+4 x^{2}-4 x+6$ 
D)  $5 x^{8}+6 x^{7}-5 x^{5}+4 x^{2}-4 x+6$ 
A)  $11 x^{8}-11 x^{5}+4 x^{2}-4 x+6$ 
B)  $11 x^{8}-5 x^{5}+4 x^{2}-4 x+6$ 
C)  $5 x^{8}+6 x^{7}+5 x^{5}+4 x^{2}-4 x+6$ 
D)  $5 x^{8}+6 x^{7}-5 x^{5}+4 x^{2}-4 x+6$

Question 14

Collect like terms
-$8 n^{3}-12 n-10 n^{3}-9$

Accepted Answer

A)  $-23 n^{3}$ 
B)  $-2 n^{3}-12 n-9$ 
C)  $960 n^{3}-9$ 
D)  $-14 n^{3}-9$ 
A)  $-23 n^{3}$ 
B)  $-2 n^{3}-12 n-9$ 
C)  $960 n^{3}-9$ 
D)  $-14 n^{3}-9$

Question 15

Collect like terms.
-$\frac{7}{10} x^{3}-x+9+\frac{3}{7} x^{3}+4 x-2$

Accepted Answer

A)  $\frac{79}{70} x^{3}+3 x+11$ 
B)  $\frac{79}{70} x^{3}+3 x+7$ 
C)  $\frac{79}{70} x^{3}+5 x+7$ 
D)  $\frac{10}{17} x^{3}+3 x+7$ 
A)  $\frac{79}{70} x^{3}+3 x+11$ 
B)  $\frac{79}{70} x^{3}+3 x+7$ 
C)  $\frac{79}{70} x^{3}+5 x+7$ 
D)  $\frac{10}{17} x^{3}+3 x+7$

Question 16

Find the total area of all shaded rectangles.
-

Accepted Answer

A)  $25 x^{2}+80 x+64$ 
B)  $5 x^{2}+40 x+64$ 
C)  $5 x^{2}+80 x+64$ 
D)  $25 x^{2}+40 x+64$ 
A)  $25 x^{2}+80 x+64$ 
B)  $5 x^{2}+40 x+64$ 
C)  $5 x^{2}+80 x+64$ 
D)  $25 x^{2}+40 x+64$

Question 17

Multiply.
-$(-2 y+7)\left(8 y^{2}-y+1\right)$

Accepted Answer

A)  $10 y^{2}-9 y+7$ 
B)  $-16 y^{3}-9 y+7$ 
C)  $-16 y^{3}+58 y^{2}-9 y+7$ 
D)  $-16 y^{3}+54 y^{2}-9 y+7$ 
A)  $10 y^{2}-9 y+7$ 
B)  $-16 y^{3}-9 y+7$ 
C)  $-16 y^{3}+58 y^{2}-9 y+7$ 
D)  $-16 y^{3}+54 y^{2}-9 y+7$

Question 18

Multiply.
-$(2 x+9 y)^{2}$

Accepted Answer

A)  $4 x^{2}+36 x y+81 y^{2}$ 
B)  $2 x^{2}+81 y^{2}$ 
C)  $2 x^{2}+36 x y+81 y^{2}$ 
D)  $4 x^{2}+81 y^{2}$ 
A)  $4 x^{2}+36 x y+81 y^{2}$ 
B)  $2 x^{2}+81 y^{2}$ 
C)  $2 x^{2}+36 x y+81 y^{2}$ 
D)  $4 x^{2}+81 y^{2}$

Question 19

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.
-A company produced 2,470,000 small appliances in one year and made a profit of $6,900,000. What was the profit on each appliance?

Accepted Answer

A)  $\$ 27.90$ 
B)  $\$ 2.79 \times 10^{3}$ 
C)  $\$ 2.79 \times 10^{6}$ 
D)  $\$ 2.79$ 
A)  $\$ 27.90$ 
B)  $\$ 2.79 \times 10^{3}$ 
C)  $\$ 2.79 \times 10^{6}$ 
D)  $\$ 2.79$

Question 20

Solve the problem.
-The distance $D$ in feet it takes a car travelling at $x \mathrm{mph}$ to come to a full stop after hitting the brakes is given by $\mathrm{D}=1.23 \mathrm{x}^{2}+0.076 \mathrm{x}$. Use the graph below to find the approximate value of 1.23 $\mathrm{x}^{2}+0.076 \mathrm{x}$ for $\mathrm{x}=55$.

Accepted Answer

A)  3900 feet 
B)  4000 feet 
C)  3700 feet 
D)  3600 feet 
A)  3900 feet 
B)  4000 feet 
C)  3700 feet 
D)  3600 feet

Collect like terms - $11 n^{3}+6 n^{3}$

Multiply and simplify. - $y^{-9} \cdot y^{-4}$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -If the distance from the earth to the sun were $84,000,000$ miles. How long would it take a rocket, traveling at $2.4 \times 10^{3}$ miles per hour, to reach the sun? (Round to three places)

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

Write the polynomial in two ways: with its missing terms and by leaving space for them. - $7 x^{4}-6 x^{2}+3 x$

Find the degree of the polynomial. - $x y z^{4}+x^{4} y^{4}+x z^{3}$

Multiply. - $(x-0.6)(x+0.6)$

Perform the division. - $\frac{z^{3}-64}{z-4}$

Express using positive exponents. Then simplify. -4^-3

Divide - $\frac{80 x^{5}-80 x}{8}$

Multiply. - $\left(5 x^{2}-4\right)\left(x^{6}-3\right)$

Add. - $\left(5 x^{8}-8 x^{5}+4 x^{2}+6\right)+\left(6 x^{7}+3 x^{5}-4 x\right)$

Collect like terms - $8 n^{3}-12 n-10 n^{3}-9$

Collect like terms. - $\frac{7}{10} x^{3}-x+9+\frac{3}{7} x^{3}+4 x-2$

Find the total area of all shaded rectangles. -

Multiply. - $(-2 y+7)\left(8 y^{2}-y+1\right)$

Multiply. - $(2 x+9 y)^{2}$

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. -A company produced 2,470,000 small appliances in one year and made a profit of $6,900,000. What was the profit on each appliance?

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

Collect like terms - 11n3+6n311 n^{3}+6 n^{3}11n3+6n3

Multiply and simplify. - y−9⋅y−4y^{-9} \cdot y^{-4}y−9⋅y−4

Multiply mentally - (3x2−107)(3x2+107)\left(3 x^{2}-\frac{10}{7}\right)\left(3 x^{2}+\frac{10}{7}\right)(3x2−710​)(3x2+710​)

Solve the problem. -During the first seconds, the height hhh in feet of a baseball after ttt seconds is given by h=−16t2+83th=-16 t^{2}+83 th=−16t2+83t +3.6 . Use the graph below to estimate the height of the ball after 4 seconds.

Write the polynomial in two ways: with its missing terms and by leaving space for them. - 7x4−6x2+3x7 x^{4}-6 x^{2}+3 x7x4−6x2+3x

Find the degree of the polynomial. - xyz4+x4y4+xz3x y z^{4}+x^{4} y^{4}+x z^{3}xyz4+x4y4+xz3

Multiply. - (x−0.6)(x+0.6)(x-0.6)(x+0.6)(x−0.6)(x+0.6)

Perform the division. - z3−64z−4\frac{z^{3}-64}{z-4}z−4z3−64​

Express using positive exponents. Then simplify. -4-3

Divide - 80x5−80x8\frac{80 x^{5}-80 x}{8}880x5−80x​

Multiply. - (5x2−4)(x6−3)\left(5 x^{2}-4\right)\left(x^{6}-3\right)(5x2−4)(x6−3)

Add. - (5x8−8x5+4x2+6)+(6x7+3x5−4x)\left(5 x^{8}-8 x^{5}+4 x^{2}+6\right)+\left(6 x^{7}+3 x^{5}-4 x\right)(5x8−8x5+4x2+6)+(6x7+3x5−4x)

Collect like terms - 8n3−12n−10n3−98 n^{3}-12 n-10 n^{3}-98n3−12n−10n3−9

Collect like terms. - 710x3−x+9+37x3+4x−2\frac{7}{10} x^{3}-x+9+\frac{3}{7} x^{3}+4 x-2107​x3−x+9+73​x3+4x−2