Question 1

Use the rule for order of operations to simplify the expression as much as possible. 
 
 (1 - 7)(6 - 9)

Accepted Answer

The answer of Use the rule for order of operations...

Question 2

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 
 
 12, 16, 20, 24, __________, __________ . . .

Accepted Answer

The answer of The sequence below is an arithmetic sequence....

Question 3

Fibonacci sequence = 1, 1, 2, 3, 5, 8, . . .
Any number in the Fibonacci sequence is a Fibonacci number .
Name the Fibonacci numbers that are prime numbers and less than 30.

Accepted Answer

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

Question 4

Find the quotient. $\frac{-72}{-12}$

Accepted Answer

A)  $-6$ 
B)  $6$ 
C)  $12$ 
D)  $60$ 
E)  $-36$ 
A)  $-6$ 
B)  $6$ 
C)  $12$ 
D)  $60$ 
E)  $-36$

Question 5

Write the following fraction as an equivalent fraction with denominator 14. $\frac{2}{7}$

Accepted Answer

A)  $\frac{2}{14}$ 
B)  $\frac{28}{14}$ 
C)  $\frac{4}{14}$ 
D)  $\frac{5}{14}$ 
E)  $\frac{98}{14}$ 
A)  $\frac{2}{14}$ 
B)  $\frac{28}{14}$ 
C)  $\frac{4}{14}$ 
D)  $\frac{5}{14}$ 
E)  $\frac{98}{14}$

Question 6

For the sentence below, write an equivalent expression in symbols. 
 
 The quotient of x and 2 is equal to the sum of x and 4.

Accepted Answer

The answer of For the sentence below, write an equivalent...

Question 7

Give the absolute value for $-\frac{2}{3}$ .

Accepted Answer

A)  $\frac{2}{3}$ 
B)  $\frac{1}{6}$ 
C)  $-\frac{2}{3}$ 
D)  $6$ 
E)  $\frac{3}{2}$ 
A)  $\frac{2}{3}$ 
B)  $\frac{1}{6}$ 
C)  $-\frac{2}{3}$ 
D)  $6$ 
E)  $\frac{3}{2}$

Question 8

Find the quotient. $\frac{-4}{-24}$

Accepted Answer

The answer of Find the quotient. $\frac{-4}{-24}$...

Question 9

Simplify the expression. 
 
 | 6 - 5 |

Accepted Answer

The answer of Simplify the expression. 
 
 | 6...

Question 10

Find the LCD for each of the following; then perform the indicated operation and reduce answer to lowest terms.

Accepted Answer

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

Question 11

Use the rule for order of operations to simplify the expression as much as possible. $2^{5}+4^{2} \div 2^{2}-2^{2}$

Accepted Answer

The answer of Use the rule for order of operations...

Question 12

Use the rule for order of operations to simplify the expression as much as possible. $2 \cdot 9+8 \cdot 3$

Accepted Answer

A)  $78$ 
B)  $42$ 
C)  $77$ 
D)  $102$ 
E)  $29$ 
A)  $78$ 
B)  $42$ 
C)  $77$ 
D)  $102$ 
E)  $29$

Question 13

Work the following problem using the rule for addition of real numbers. $8+(-6)+(-10)$

Accepted Answer

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

Question 14

Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this by writing prime . 
 
 20

Accepted Answer

The answer of Factor the following number into the product...

Question 15

Perform the indicated operations. $2 \div(-14)$

Accepted Answer

A)  $-7$ 
B)  $\frac{1}{7}$ 
C)  $-\frac{1}{7}$ 
D)  $-\frac{1}{2}$ 
E)  $7$ 
A)  $-7$ 
B)  $\frac{1}{7}$ 
C)  $-\frac{1}{7}$ 
D)  $-\frac{1}{2}$ 
E)  $7$

Question 16

Use the rule for order of operations to simplify the expression as much as possible. $8 \cdot 10^{2}+2 \cdot 10+4$

Accepted Answer

The answer of Use the rule for order of operations...

Question 17

State the property or properties that justify the following statement. $4+5=5+4$

Accepted Answer

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

Question 18

Use the rule for order of operations to simplify the expression as much as possible. $6(1+5)$

Accepted Answer

A)  $31$ 
B)  $35$ 
C)  $12$ 
D)  $36$ 
E)  $11$ 
A)  $31$ 
B)  $35$ 
C)  $12$ 
D)  $36$ 
E)  $11$

Question 19

Simplify the expression 11 - (5 - 3) and the expression (11 - 5) - 3 to show that subtraction is not an associative operation.

Accepted Answer

A)  $\begin{array}{l}
11-(5-3)=3 \
(11-5)-3=9
\end{array}$ 
B)  $\begin{array}{l}
11-(5-3)=9 \
(11-5)-3=9
\end{array}$ 
C)  $\begin{array}{l}
11-(5-3)=8 \
(11-5)-3=2
\end{array}$ 
D)  $\begin{array}{l}
11-(5-3)=2 \
(11-5)-3=8
\end{array}$ 
E)  $\begin{array}{l}
11-(5-3)=9 \
(11-5)-3=3
\end{array}$ 
A)  $\begin{array}{l}
11-(5-3)=3 \
(11-5)-3=9
\end{array}$ 
B)  $\begin{array}{l}
11-(5-3)=9 \
(11-5)-3=9
\end{array}$ 
C)  $\begin{array}{l}
11-(5-3)=8 \
(11-5)-3=2
\end{array}$ 
D)  $\begin{array}{l}
11-(5-3)=2 \
(11-5)-3=8
\end{array}$ 
E)  $\begin{array}{l}
11-(5-3)=9 \
(11-5)-3=3
\end{array}$

Question 20

Perform the indicated operation.

Accepted Answer

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

Use the rule for order of operations to simplify the expression as much as possible. (1 - 7)(6 - 9)

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 12, 16, 20, 24, , . . .

Fibonacci sequence = 1, 1, 2, 3, 5, 8, . . . Any number in the Fibonacci sequence is a Fibonacci number . Name the Fibonacci numbers that are prime numbers and less than 30.

Find the quotient. $\frac{-72}{-12}$

Write the following fraction as an equivalent fraction with denominator 14. $\frac{2}{7}$

For the sentence below, write an equivalent expression in symbols. The quotient of x and 2 is equal to the sum of x and 4.

Give the absolute value for $-\frac{2}{3}$ .

Find the quotient. $\frac{-4}{-24}$

Simplify the expression. | 6 - 5 |

Find the LCD for each of the following; then perform the indicated operation and reduce answer to lowest terms.

Use the rule for order of operations to simplify the expression as much as possible. $2^{5}+4^{2} \div 2^{2}-2^{2}$

Use the rule for order of operations to simplify the expression as much as possible. $2 \cdot 9+8 \cdot 3$

Work the following problem using the rule for addition of real numbers. $8+(-6)+(-10)$

Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this by writing prime . 20

Perform the indicated operations. $2 \div(-14)$

Use the rule for order of operations to simplify the expression as much as possible. $8 \cdot 10^{2}+2 \cdot 10+4$

State the property or properties that justify the following statement. $4+5=5+4$

Use the rule for order of operations to simplify the expression as much as possible. $6(1+5)$

Simplify the expression 11 - (5 - 3) and the expression (11 - 5) - 3 to show that subtraction is not an associative operation.

Perform the indicated operation.

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Exam 1: The Basics

Use the rule for order of operations to simplify the expression as much as possible. (1 - 7)(6 - 9)

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 12, 16, 20, 24, __________, __________ . . .

Fibonacci sequence = 1, 1, 2, 3, 5, 8, . . . Any number in the Fibonacci sequence is a Fibonacci number . Name the Fibonacci numbers that are prime numbers and less than 30.

Find the quotient. −72−12\frac{-72}{-12}−12−72​

Write the following fraction as an equivalent fraction with denominator 14. 27\frac{2}{7}72​

For the sentence below, write an equivalent expression in symbols. The quotient of x and 2 is equal to the sum of x and 4.

Give the absolute value for −23-\frac{2}{3}−32​ .

Find the quotient. −4−24\frac{-4}{-24}−24−4​

Simplify the expression. | 6 - 5 |

Find the LCD for each of the following; then perform the indicated operation and reduce answer to lowest terms.

Use the rule for order of operations to simplify the expression as much as possible. 25+42÷22−222^{5}+4^{2} \div 2^{2}-2^{2}25+42÷22−22

Use the rule for order of operations to simplify the expression as much as possible. 2⋅9+8⋅32 \cdot 9+8 \cdot 32⋅9+8⋅3

Work the following problem using the rule for addition of real numbers. 8+(−6)+(−10)8+(-6)+(-10)8+(−6)+(−10)

Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this by writing prime . 20

Perform the indicated operations. 2÷(−14)2 \div(-14)2÷(−14)

Use the rule for order of operations to simplify the expression as much as possible. 8⋅102+2⋅10+48 \cdot 10^{2}+2 \cdot 10+48⋅102+2⋅10+4

State the property or properties that justify the following statement. 4+5=5+44+5=5+44+5=5+4

Use the rule for order of operations to simplify the expression as much as possible. 6(1+5)6(1+5)6(1+5)

Simplify the expression 11 - (5 - 3) and the expression (11 - 5) - 3 to show that subtraction is not an associative operation.

Perform the indicated operation.

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

The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 12, 16, 20, 24, , . . .

Find the quotient. $\frac{-72}{-12}$

Write the following fraction as an equivalent fraction with denominator 14. $\frac{2}{7}$

Give the absolute value for $-\frac{2}{3}$ .

Find the quotient. $\frac{-4}{-24}$

Use the rule for order of operations to simplify the expression as much as possible. $2^{5}+4^{2} \div 2^{2}-2^{2}$

Use the rule for order of operations to simplify the expression as much as possible. $2 \cdot 9+8 \cdot 3$

Work the following problem using the rule for addition of real numbers. $8+(-6)+(-10)$

Perform the indicated operations. $2 \div(-14)$

Use the rule for order of operations to simplify the expression as much as possible. $8 \cdot 10^{2}+2 \cdot 10+4$

State the property or properties that justify the following statement. $4+5=5+4$

Use the rule for order of operations to simplify the expression as much as possible. $6(1+5)$