Question 1

Multiply the following. $\frac{1}{3} \cdot \frac{2}{5}$

Accepted Answer

A)  $\frac{3}{8}$ 
B)  $\frac{1}{4}$ 
C)  $\frac{2}{15}$ 
D)  $\frac{1}{5}$ 
E)  $\frac{3}{5}$ 
A)  $\frac{3}{8}$ 
B)  $\frac{1}{4}$ 
C)  $\frac{2}{15}$ 
D)  $\frac{1}{5}$ 
E)  $\frac{3}{5}$

Question 2

Perform the indicated operation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Use the rule for multiplying two real numbers to find the following product. 
 
 -2(-1)

Accepted Answer

The answer of Use the rule for multiplying two real...

Question 4

Apply the distributive property. Simplify when possible. $4(y-1)$

Accepted Answer

A)  $3 y$ 
B)  $3 y-3$ 
C)  $4 y-3$ 
D)  $4 y-4$ 
E)  $-4 y+4$ 
A)  $3 y$ 
B)  $3 y-3$ 
C)  $4 y-3$ 
D)  $4 y-4$ 
E)  $-4 y+4$

Question 5

Perform the indicated operations. Simplify as much as possible. $\frac{-15(-6)}{-30}$ Do not convert fractions to decimal form.

Accepted Answer

The answer of Perform the indicated operations. Simplify as much...

Question 6

Perform the indicated operations. Simplify as much as possible. $\frac{20^{2}-4^{2}}{20^{2}+4^{2}}$

Accepted Answer

A)  $\frac{13}{15}$ 
B)  1 
C)  $\frac{12}{13}$ 
D)  $-1$ 
E)  $-\frac{12}{13}$ 
A)  $\frac{13}{15}$ 
B)  1 
C)  $\frac{12}{13}$ 
D)  $-1$ 
E)  $-\frac{12}{13}$

Question 7

Perform the indicated operation and reduce to lowest terms. Assume the variable represents a nonzero number.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Work the problem using the rule for addition of real numbers. $5+(-6)+(-9)$

Accepted Answer

A)  $-10$ 
B)  $-88$ 
C)  $10$ 
D)  $2$ 
E)  $8$ 
A)  $-10$ 
B)  $-88$ 
C)  $10$ 
D)  $2$ 
E)  $8$

Question 9

Apply the distributive property. Simplify when possible. $7(3 a-2 b)$

Accepted Answer

A)  $21 a-10 b$ 
B)  $21 a-2 b$ 
C)  $21 a-14 b$ 
D)  $10 a-9 b$ 
E)  $21 a-4 b$ 
A)  $21 a-10 b$ 
B)  $21 a-2 b$ 
C)  $21 a-14 b$ 
D)  $10 a-9 b$ 
E)  $21 a-4 b$

Question 10

Find the quotient. $\frac{-22}{-11}$

Accepted Answer

The answer of Find the quotient. $\frac{-22}{-11}$...

Question 11

Find the LCD for each of the following; then perform the indicated operation.   Enter a fraction as your answer, as necessary.

Accepted Answer

The answer of Find the LCD for each of the...

Question 12

Expand and multiply. $\left(\frac{2}{3}\right)^{2}$

Accepted Answer

A)  $\frac{2}{3}$ 
B)  $\frac{16}{81}$ 
C)  $\frac{8}{27}$ 
D)  $\frac{4}{3}$ 
E)  $\frac{4}{9}$ 
A)  $\frac{2}{3}$ 
B)  $\frac{16}{81}$ 
C)  $\frac{8}{27}$ 
D)  $\frac{4}{3}$ 
E)  $\frac{4}{9}$

Question 13

Reduce the fraction to lowest terms.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Find the fourth term in the sequence.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Find the LCD for each of the following; then perform the indicated operation.   Enter a fraction as your answer, as necessary.

Accepted Answer

The answer of Find the LCD for each of the...

Question 16

Use the rule for order of operations to simplify the expression as much as possible. $(4+3)^{2}$

Accepted Answer

A)  $49$ 
B)  $25$ 
C)  $17$ 
D)  $14$. 
E)  $14$ 
A)  $49$ 
B)  $25$ 
C)  $17$ 
D)  $14$. 
E)  $14$

Question 17

Work the following problem using the rule for addition of real numbers. $[9+(-1)]+[3+(-5)]$

Accepted Answer

The answer of Work the following problem using the rule...

Question 18

The following is a geometric sequence. Find the next number in the sequence. 
 
 6, -24, 96, . . .

Accepted Answer

The answer of The following is a geometric sequence. Find...

Question 19

Factor   into the product of prime factors.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

State the property or properties that justify the following statement. $(3+5)+7=3+(5+7)$

Accepted Answer

A)  Additive identity. 
B)  Associative property of multiplication. 
C)  Distributive property of multiplication. 
D)  Associative property of addition. 
E)  Commutative property of addition. 
A)  Additive identity. 
B)  Associative property of multiplication. 
C)  Distributive property of multiplication. 
D)  Associative property of addition. 
E)  Commutative property of addition.

Multiply the following. $\frac{1}{3} \cdot \frac{2}{5}$

Perform the indicated operation.

Use the rule for multiplying two real numbers to find the following product. -2(-1)

Apply the distributive property. Simplify when possible. $4(y-1)$

Perform the indicated operations. Simplify as much as possible. $\frac{-15(-6)}{-30}$ Do not convert fractions to decimal form.

Perform the indicated operations. Simplify as much as possible. $\frac{20^{2}-4^{2}}{20^{2}+4^{2}}$

Perform the indicated operation and reduce to lowest terms. Assume the variable represents a nonzero number.

Work the problem using the rule for addition of real numbers. $5+(-6)+(-9)$

Apply the distributive property. Simplify when possible. $7(3 a-2 b)$

Find the quotient. $\frac{-22}{-11}$

Find the LCD for each of the following; then perform the indicated operation. $Find the LCD for each of the following; then perform the indicated operation. Enter a fraction as your answer, as necessary.$ Enter a fraction as your answer, as necessary.

Expand and multiply. $\left(\frac{2}{3}\right)^{2}$

Reduce the fraction to lowest terms. $Reduce the fraction to lowest terms.$

Find the fourth term in the sequence.

Find the LCD for each of the following; then perform the indicated operation. $Find the LCD for each of the following; then perform the indicated operation. Enter a fraction as your answer, as necessary.$ Enter a fraction as your answer, as necessary.

Use the rule for order of operations to simplify the expression as much as possible. $(4+3)^{2}$

Work the following problem using the rule for addition of real numbers. $[9+(-1)]+[3+(-5)]$

The following is a geometric sequence. Find the next number in the sequence. 6, -24, 96, . . .

Factor into the product of prime factors.

State the property or properties that justify the following statement. $(3+5)+7=3+(5+7)$

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions

Roots and Radicals

Quadratic Equations

Filters

Exam 1: The Basics

Multiply the following. 13⋅25\frac{1}{3} \cdot \frac{2}{5}31​⋅52​

Perform the indicated operation.

Use the rule for multiplying two real numbers to find the following product. -2(-1)

Apply the distributive property. Simplify when possible. 4(y−1)4(y-1)4(y−1)

Perform the indicated operations. Simplify as much as possible. −15(−6)−30\frac{-15(-6)}{-30}−30−15(−6)​ Do not convert fractions to decimal form.

Perform the indicated operations. Simplify as much as possible. 202−42202+42\frac{20^{2}-4^{2}}{20^{2}+4^{2}}202+42202−42​

Perform the indicated operation and reduce to lowest terms. Assume the variable represents a nonzero number.

Work the problem using the rule for addition of real numbers. 5+(−6)+(−9)5+(-6)+(-9)5+(−6)+(−9)

Apply the distributive property. Simplify when possible. 7(3a−2b)7(3 a-2 b)7(3a−2b)

Find the quotient. −22−11\frac{-22}{-11}−11−22​

Find the LCD for each of the following; then perform the indicated operation. Enter a fraction as your answer, as necessary.

Expand and multiply. (23)2\left(\frac{2}{3}\right)^{2}(32​)2

Reduce the fraction to lowest terms.

Find the fourth term in the sequence.

Find the LCD for each of the following; then perform the indicated operation. Enter a fraction as your answer, as necessary.

Use the rule for order of operations to simplify the expression as much as possible. (4+3)2(4+3)^{2}(4+3)2

Work the following problem using the rule for addition of real numbers. [9+(−1)]+[3+(−5)][9+(-1)]+[3+(-5)][9+(−1)]+[3+(−5)]

The following is a geometric sequence. Find the next number in the sequence. 6, -24, 96, . . .

Factor into the product of prime factors.

State the property or properties that justify the following statement. (3+5)+7=3+(5+7)(3+5)+7=3+(5+7)(3+5)+7=3+(5+7)

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions

Roots and Radicals

Quadratic Equations

Filters

Multiply the following. $\frac{1}{3} \cdot \frac{2}{5}$

Apply the distributive property. Simplify when possible. $4(y-1)$

Perform the indicated operations. Simplify as much as possible. $\frac{-15(-6)}{-30}$ Do not convert fractions to decimal form.

Perform the indicated operations. Simplify as much as possible. $\frac{20^{2}-4^{2}}{20^{2}+4^{2}}$

Work the problem using the rule for addition of real numbers. $5+(-6)+(-9)$

Apply the distributive property. Simplify when possible. $7(3 a-2 b)$

Find the quotient. $\frac{-22}{-11}$

Find the LCD for each of the following; then perform the indicated operation. $Find the LCD for each of the following; then perform the indicated operation. Enter a fraction as your answer, as necessary.$ Enter a fraction as your answer, as necessary.

Expand and multiply. $\left(\frac{2}{3}\right)^{2}$

Reduce the fraction to lowest terms. $Reduce the fraction to lowest terms.$

Find the LCD for each of the following; then perform the indicated operation. $Find the LCD for each of the following; then perform the indicated operation. Enter a fraction as your answer, as necessary.$ Enter a fraction as your answer, as necessary.

Use the rule for order of operations to simplify the expression as much as possible. $(4+3)^{2}$

Work the following problem using the rule for addition of real numbers. $[9+(-1)]+[3+(-5)]$

State the property or properties that justify the following statement. $(3+5)+7=3+(5+7)$