Question 1

Evaluate the expression using order of operations.
-$5 \cdot 4^{2}$

Accepted Answer

A)  80 
B)  400 
C)  20 
D)  320 
A)  80 
B)  400 
C)  20 
D)  320 A

Question 2

Which statement tells how to evaluate $9^{4}$ ?

Accepted Answer

A)  Multiply 9 times itself 4 times. 
B)  Divide 9 by 4 . 
C)  Multiply 9 times 4 . 
D)  Multiply 4 times itself 9 times. 
A)  Multiply 9 times itself 4 times. 
B)  Divide 9 by 4 . 
C)  Multiply 9 times 4 . 
D)  Multiply 4 times itself 9 times. A

Question 3

Name the property illustrated.
-$3+(9+6)=(3+9)+6$

Accepted Answer

A)  Identity property 
B)  Commutative property 
C)  Associative property 
D)  Distributive property 
A)  Identity property 
B)  Commutative property 
C)  Associative property 
D)  Distributive property C

Question 4

Solve the problem.
-The cost of producing $x$ thousand units of a certain product is given by $C=-5.8 x^{2}+4807 x+200,000$, for $x \leq 150$. Write a rational expression that gives the average cost per unit when $x$ thousand are produced. Then find the average cost per unit when 30,000 units are produced.

Accepted Answer

A)  $\frac{-5.8 x^{2}+4807 x+200,000}{1000 x} ; \$ 162.53$ 
B)  $\frac{-5.8 x^{2}+4807 x+200,000}{1000 x} ; \$ 11.30$ 
C)  $\frac{-5.8 x^{2}+4807 x+200,000}{x} ; \$ 11.30$ 
D)  $\frac{-5.8 x^{2}+4807 x+200,000}{x} ; \$ 11,299.67$ 
A)  $\frac{-5.8 x^{2}+4807 x+200,000}{1000 x} ; \$ 162.53$ 
B)  $\frac{-5.8 x^{2}+4807 x+200,000}{1000 x} ; \$ 11.30$ 
C)  $\frac{-5.8 x^{2}+4807 x+200,000}{x} ; \$ 11.30$ 
D)  $\frac{-5.8 x^{2}+4807 x+200,000}{x} ; \$ 11,299.67$

Question 5

Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Accepted Answer

@#LAT-DLM&, because the exponent is appl

Question 6

Use factoring to solve the equation.
-$20 y^{2}+23 y+6=0$

Accepted Answer

A)  $\frac{3}{4},-\frac{2}{5}$ 
B)  $-\frac{3}{4},-\frac{2}{5}$ 
C)  $-\frac{3}{20},-\frac{1}{3}$ 
D)  $\frac{3}{4}, \frac{2}{5}$ 
A)  $\frac{3}{4},-\frac{2}{5}$ 
B)  $-\frac{3}{4},-\frac{2}{5}$ 
C)  $-\frac{3}{20},-\frac{1}{3}$ 
D)  $\frac{3}{4}, \frac{2}{5}$

Question 7

Factor out the greatest common factor.
-$60 m^{9}+108 m^{4}+84 m^{2}$

Accepted Answer

A)  No common factor 
B)  $12\left(5 m^{9}+9 m^{4}+7 m^{2}\right)$ 
C)  $m^{2}\left(60 m^{7}+108 m^{2}+84\right)$ 
D)  $12 m^{2}\left(5 m^{7}+9 m^{2}+7\right)$ 
A)  No common factor 
B)  $12\left(5 m^{9}+9 m^{4}+7 m^{2}\right)$ 
C)  $m^{2}\left(60 m^{7}+108 m^{2}+84\right)$ 
D)  $12 m^{2}\left(5 m^{7}+9 m^{2}+7\right)$

Question 8

Use the discriminant to determine the number of real solutions of the equation.
-$w^{2}-2 w+7=0$

Accepted Answer

A)  2 
B)  1 
C)  No real solutions 
A)  2 
B)  1 
C)  No real solutions

Question 9

Simplify the complex fraction.
-$\frac{\frac{1}{a}+1}{\frac{1}{a}-1}$

Accepted Answer

A)  $\frac{1+a}{1-a}$ 
B)  $1-a^{2}$ 
C)  1 
D)  $\frac{a}{1-a^{2}}$ 
A)  $\frac{1+a}{1-a}$ 
B)  $1-a^{2}$ 
C)  1 
D)  $\frac{a}{1-a^{2}}$

Question 10

Solve the formula for the specified variable.
-$V=\frac{1}{3} B h$ for $h$

Accepted Answer

A)  $h=\frac{3 B}{V}$ 
B)  $h=\frac{V}{3 B}$ 
C)  $h=\frac{B}{3 V}$ 
D)  $h=\frac{3 V}{B}$ 
A)  $h=\frac{3 B}{V}$ 
B)  $h=\frac{V}{3 B}$ 
C)  $h=\frac{B}{3 V}$ 
D)  $h=\frac{3 V}{B}$

Question 11

Solve the problem.
-The finance charge on a loan taken out by Edward is $\$ 702$. If there were 36 equal monthly installments needed to repay the loan, and the loan is paid in full with 4 months remaining, find the total finance charge paid. (Round answer to the nearest cent.)

Accepted Answer

A)  $\$ 702.00$ 
B)  $\$ 556.54$ 
C)  $\$ 10.54$ 
D)  $\$ 691.46$ 
A)  $\$ 702.00$ 
B)  $\$ 556.54$ 
C)  $\$ 10.54$ 
D)  $\$ 691.46$

Question 12

Find the product.
-$(0.005 x-0.23)(0.7 x+0.46)$

Accepted Answer

A)  $0.705 x^{2}-0.1587 x-0.1058$ 
B)  $0.0035 x^{2}-0.1587 x-0.1587$ 
C)  $0.705 x^{2}-0.1587 x-0.1587$ 
D)  $0.0035 x^{2}-0.1587 x-0.1058$ 
A)  $0.705 x^{2}-0.1587 x-0.1058$ 
B)  $0.0035 x^{2}-0.1587 x-0.1587$ 
C)  $0.705 x^{2}-0.1587 x-0.1587$ 
D)  $0.0035 x^{2}-0.1587 x-0.1058$

Question 13

Find approximate solutions of the equation.
-$5 y^{2}-4.9 y-7.2=0$

Accepted Answer

A)  1.79 or -0.81 
B)  0.81 or -0.81 
C)  0.81 or -1.79 
D)  1.79 or -1.79 
A)  1.79 or -0.81 
B)  0.81 or -0.81 
C)  0.81 or -1.79 
D)  1.79 or -1.79

Question 14

Solve the equation.
-$-7.2 q=-43.2-1.8 q$

Accepted Answer

A)  -49 
B)  6.3 
C)  6.0 
D)  8 
A)  -49 
B)  6.3 
C)  6.0 
D)  8

Question 15

Write the rational exponent expression as an equivalent radical expression.
-$5 x^{-1 / 5}$

Accepted Answer

A)  $\sqrt[5]{-5 x}$ 
B)  $-5 \sqrt[5]{x}$ 
C)  $\frac{5}{\sqrt[5]{x}}$ 
D)  $\sqrt[5]{5 x}$ 
A)  $\sqrt[5]{-5 x}$ 
B)  $-5 \sqrt[5]{x}$ 
C)  $\frac{5}{\sqrt[5]{x}}$ 
D)  $\sqrt[5]{5 x}$

Question 16

Evaluate the expression. Write answer without exponents.
-$(-13)^{0}$

Accepted Answer

A)  0 
B)  1 
C)  -1 
D)  -13 
A)  0 
B)  1 
C)  -1 
D)  -13

Question 17

Determine whether the statement is true or false.
-Every rational number is an integer.

Accepted Answer

A) True 
 B)False

Question 18

Factor completely.
-$192 k^{3} m-375 m^{4}$

Accepted Answer

A)  $3 m(64 k-5 m)\left(k^{2}+20 k m+25 m^{2}\right)$ 
B)  $3 m(4 k-5 m)\left(16 k^{2}+20 k m+25 m^{2}\right)$ 
C)  $3 \mathrm{~m}\left(4 \mathrm{k}+5 \mathrm{~m}^{2}\right)\left(16 \mathrm{k}^{2}-20 \mathrm{~km}+25 \mathrm{~km}{ }^{2}\right)$ 
D)  $\left(12 \mathrm{~km}-15 \mathrm{~m}^{2}\right)\left(16 \mathrm{k}^{2}+25 \mathrm{~m}^{2}\right)$ 
A)  $3 m(64 k-5 m)\left(k^{2}+20 k m+25 m^{2}\right)$ 
B)  $3 m(4 k-5 m)\left(16 k^{2}+20 k m+25 m^{2}\right)$ 
C)  $3 \mathrm{~m}\left(4 \mathrm{k}+5 \mathrm{~m}^{2}\right)\left(16 \mathrm{k}^{2}-20 \mathrm{~km}+25 \mathrm{~km}{ }^{2}\right)$ 
D)  $\left(12 \mathrm{~km}-15 \mathrm{~m}^{2}\right)\left(16 \mathrm{k}^{2}+25 \mathrm{~m}^{2}\right)$

Question 19

Find the product.
-$(3 \mathrm{p}-1)\left(9 \mathrm{p}^{2}+3 \mathrm{p}+1\right)$

Accepted Answer

A)  $9 p^{3}-1$ 
B)  $27 p^{3}+12 p^{2}-1$ 
C)  $27 p^{3}-1$ 
D)  $27 p^{3}+1$ 
A)  $9 p^{3}-1$ 
B)  $27 p^{3}+12 p^{2}-1$ 
C)  $27 p^{3}-1$ 
D)  $27 p^{3}+1$

Question 20

Write the rational exponent expression as an equivalent radical expression.
-$(7 \mathrm{x})^{-1 / 7}$

Accepted Answer

A)  $\frac{-7}{\sqrt[7]{x}}$ 
B)  $\frac{1}{\sqrt[7]{-7 x}}$ 
C)  $\frac{1}{\sqrt[7]{7 x}}$ 
D)  $7 \sqrt[7]{x}$ 
A)  $\frac{-7}{\sqrt[7]{x}}$ 
B)  $\frac{1}{\sqrt[7]{-7 x}}$ 
C)  $\frac{1}{\sqrt[7]{7 x}}$ 
D)  $7 \sqrt[7]{x}$

Evaluate the expression using order of operations. - $5 \cdot 4^{2}$

Which statement tells how to evaluate $9^{4}$ ?

Name the property illustrated. - $3+(9+6)=(3+9)+6$

Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Use factoring to solve the equation. - $20 y^{2}+23 y+6=0$

Factor out the greatest common factor. - $60 m^{9}+108 m^{4}+84 m^{2}$

Use the discriminant to determine the number of real solutions of the equation. - $w^{2}-2 w+7=0$

Simplify the complex fraction. - $\frac{\frac{1}{a}+1}{\frac{1}{a}-1}$

Solve the formula for the specified variable. - $V=\frac{1}{3} B h$ for $h$

Solve the problem. -The finance charge on a loan taken out by Edward is $\$ 702$ . If there were 36 equal monthly installments needed to repay the loan, and the loan is paid in full with 4 months remaining, find the total finance charge paid. (Round answer to the nearest cent.)

Find the product. - $(0.005 x-0.23)(0.7 x+0.46)$

Find approximate solutions of the equation. - $5 y^{2}-4.9 y-7.2=0$

Solve the equation. - $-7.2 q=-43.2-1.8 q$

Write the rational exponent expression as an equivalent radical expression. - $5 x^{-1 / 5}$

Evaluate the expression. Write answer without exponents. - $(-13)^{0}$

Determine whether the statement is true or false. -Every rational number is an integer.

Factor completely. - $192 k^{3} m-375 m^{4}$

Find the product. - $(3 \mathrm{p}-1)\left(9 \mathrm{p}^{2}+3 \mathrm{p}+1\right)$

Write the rational exponent expression as an equivalent radical expression. - $(7 \mathrm{x})^{-1 / 7}$

Graphs, Lines, and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Exam 1: Algebra and Equations

Evaluate the expression using order of operations. - 5⋅425 \cdot 4^{2}5⋅42

Which statement tells how to evaluate 949^{4}94 ?

Name the property illustrated. - 3+(9+6)=(3+9)+63+(9+6)=(3+9)+63+(9+6)=(3+9)+6

Simplify the expressions (2x)0(2 x)^{0}(2x)0 and (2x0)\left(2 x^{0}\right)(2x0) and explain how you arrived at your answers.

Use factoring to solve the equation. - 20y2+23y+6=020 y^{2}+23 y+6=020y2+23y+6=0

Factor out the greatest common factor. - 60m9+108m4+84m260 m^{9}+108 m^{4}+84 m^{2}60m9+108m4+84m2

Use the discriminant to determine the number of real solutions of the equation. - w2−2w+7=0w^{2}-2 w+7=0w2−2w+7=0

Simplify the complex fraction. - 1a+11a−1\frac{\frac{1}{a}+1}{\frac{1}{a}-1}a1​−1a1​+1​

Solve the formula for the specified variable. - V=13BhV=\frac{1}{3} B hV=31​Bh for hhh

Solve the problem. -The finance charge on a loan taken out by Edward is $702\$ 702$702 . If there were 36 equal monthly installments needed to repay the loan, and the loan is paid in full with 4 months remaining, find the total finance charge paid. (Round answer to the nearest cent.)

Find the product. - (0.005x−0.23)(0.7x+0.46)(0.005 x-0.23)(0.7 x+0.46)(0.005x−0.23)(0.7x+0.46)

Find approximate solutions of the equation. - 5y2−4.9y−7.2=05 y^{2}-4.9 y-7.2=05y2−4.9y−7.2=0

Solve the equation. - −7.2q=−43.2−1.8q-7.2 q=-43.2-1.8 q−7.2q=−43.2−1.8q

Write the rational exponent expression as an equivalent radical expression. - 5x−1/55 x^{-1 / 5}5x−1/5

Evaluate the expression. Write answer without exponents. - (−13)0(-13)^{0}(−13)0

Determine whether the statement is true or false. -Every rational number is an integer.

Factor completely. - 192k3m−375m4192 k^{3} m-375 m^{4}192k3m−375m4

Find the product. - (3p−1)(9p2+3p+1)(3 \mathrm{p}-1)\left(9 \mathrm{p}^{2}+3 \mathrm{p}+1\right)(3p−1)(9p2+3p+1)

Write the rational exponent expression as an equivalent radical expression. - (7x)−1/7(7 \mathrm{x})^{-1 / 7}(7x)−1/7

Graphs, Lines, and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Evaluate the expression using order of operations. - $5 \cdot 4^{2}$

Which statement tells how to evaluate $9^{4}$ ?

Name the property illustrated. - $3+(9+6)=(3+9)+6$

Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Use factoring to solve the equation. - $20 y^{2}+23 y+6=0$

Factor out the greatest common factor. - $60 m^{9}+108 m^{4}+84 m^{2}$

Use the discriminant to determine the number of real solutions of the equation. - $w^{2}-2 w+7=0$

Simplify the complex fraction. - $\frac{\frac{1}{a}+1}{\frac{1}{a}-1}$

Solve the formula for the specified variable. - $V=\frac{1}{3} B h$ for $h$

Solve the problem. -The finance charge on a loan taken out by Edward is $\$ 702$ . If there were 36 equal monthly installments needed to repay the loan, and the loan is paid in full with 4 months remaining, find the total finance charge paid. (Round answer to the nearest cent.)

Find the product. - $(0.005 x-0.23)(0.7 x+0.46)$

Find approximate solutions of the equation. - $5 y^{2}-4.9 y-7.2=0$

Solve the equation. - $-7.2 q=-43.2-1.8 q$

Write the rational exponent expression as an equivalent radical expression. - $5 x^{-1 / 5}$

Evaluate the expression. Write answer without exponents. - $(-13)^{0}$

Factor completely. - $192 k^{3} m-375 m^{4}$

Find the product. - $(3 \mathrm{p}-1)\left(9 \mathrm{p}^{2}+3 \mathrm{p}+1\right)$

Write the rational exponent expression as an equivalent radical expression. - $(7 \mathrm{x})^{-1 / 7}$