Question 1

Identify the following statements as either true or false. 
 
 The set of integers is a subset of the set of rational numbers.

Accepted Answer

The answer of Identify the following statements as either true...

Question 2

Simplify the expression. $-5(2)(-3)$

Accepted Answer

A)  $30$ 
B)  $13$ 
C)  $-30$ 
D)  $-13$ 
E)  $5$ 
A)  $30$ 
B)  $13$ 
C)  $-30$ 
D)  $-13$ 
E)  $5$

Question 3

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 . 
 
 2,639

Accepted Answer

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

Question 4

The temperature at noon is 10 degrees below Fahrenheit 0. By 1:00 it has risen 4 degrees. Write an expression using the numbers -10 and 4 to describe this situation.

Accepted Answer

A)  $-10-4$ 
B)  $-14+4$ 
C)  $10+4$ 
D)  $10-4$ 
E)  $-10+4$ 
A)  $-10-4$ 
B)  $-14+4$ 
C)  $10+4$ 
D)  $10-4$ 
E)  $-10+4$

Question 5

Find the fourth term in the sequence.   Enter a fraction as your answer, as necessary.

Accepted Answer

The answer of Find the fourth term in the sequence....

Question 6

The following bar chart gives the number of calories burned by a 150-pound person during 1 hour of various exercises. Use the bar char to determine the number of calories burned during 1 hour of skiing.

Accepted Answer

A)  $272 \text { calories }$ 
B)  $545 \text { calories }$ 
C)  $267 \text { calories }$ 
D)  $546 \text { calories }$ 
E)  $\text { none of these }$ 
A)  $272 \text { calories }$ 
B)  $545 \text { calories }$ 
C)  $267 \text { calories }$ 
D)  $546 \text { calories }$ 
E)  $\text { none of these }$

Question 7

Use the rule for order of operations to simplify the expression as much as possible. $8+3.6$

Accepted Answer

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

Question 8

Work the following problem using the rule for addition of real numbers. $9+(-4)$

Accepted Answer

A)  $-5$ 
B)  $9$ 
C)  $13$ 
D)  $5$ 
E)  $-13$ 
A)  $-5$ 
B)  $9$ 
C)  $13$ 
D)  $5$ 
E)  $-13$

Question 9

Perform the indicated operations. Simplify as much as possible. $\frac{4(-7-4)+5(9-10)}{7(-2)+4(-5)}$

Accepted Answer

A)  $\frac{10}{7}$ 
B)  $-\frac{49}{34}$ 
C)  $\frac{17}{12}$ 
D)  $\frac{49}{34}$ 
E)  $\frac{25}{17}$ 
A)  $\frac{10}{7}$ 
B)  $-\frac{49}{34}$ 
C)  $\frac{17}{12}$ 
D)  $\frac{49}{34}$ 
E)  $\frac{25}{17}$

Question 10

Expand and multiply. $6^{2}$

Accepted Answer

A)  $64$ 
B)  $25$ 
C)  $12$ 
D)  $8$ 
E)  $36$ 
A)  $64$ 
B)  $25$ 
C)  $12$ 
D)  $8$ 
E)  $36$

Question 11

Simplify the expression   , and then factor the result into the product of primes. (Notice one of the factors of the answer is 5.)

Accepted Answer

The answer of Simplify the expression   , and...

Question 12

Perform the indicated operation and reduce the answer to lowest terms.

Accepted Answer

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

Question 13

Expand and multiply. $8^{2}$

Accepted Answer

The answer of Expand and multiply. $8^{2}$...

Question 14

For the sentence below, write an equivalent expression in symbols. 
 
 The sum of x and 6 is 14.

Accepted Answer

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

Question 15

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 16

Carlo works as a waiter. He works double shifts 6 days a week. The lunch shift is 3 hours and the dinner shift is 2 hours. Find the total number of hours he works per week using the numbers 6, 3, and 2. Do the calculation two different ways so that the results give further justification for the distributive property.

Accepted Answer

A)  $6(3+2)=26$ $(6 \cdot 3)+(6 \cdot 2)=30$ 
B)  $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=26$ 
C)  $6(3+2)=26$ $(6 \cdot 3)+(6 \cdot 2)=26$ 
D)  $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=60$ 
E)  $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=30$ 
A)  $6(3+2)=26$ $(6 \cdot 3)+(6 \cdot 2)=30$ 
B)  $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=26$ 
C)  $6(3+2)=26$ $(6 \cdot 3)+(6 \cdot 2)=26$ 
D)  $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=60$ 
E)  $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=30$

Question 17

For the sentence below, write an equivalent expression in symbols. The product of $7$ and y is less than or equal to the sum of y and $6$ .

Accepted Answer

A)  $7 y \leq y+6$ 
B)  $7-y \geq y+1$ 
C)  $7 y \leq 6 y$ 
D)  $7 y \leq x+6$ 
E)  $7 y \geq y+6$ 
A)  $7 y \leq y+6$ 
B)  $7-y \geq y+1$ 
C)  $7 y \leq 6 y$ 
D)  $7 y \leq x+6$ 
E)  $7 y \geq y+6$

Question 18

Find the perimeter and area of the figure.   perimeter = __________ inch(es) area = __________ square inch(es)

Accepted Answer

The answer of Find the perimeter and area of the...

Question 19

What is the quotient of -10 and -5?

Accepted Answer

The answer of What is the quotient of -10 and...

Question 20

Perform the indicated operation and reduce to lowest terms.

Accepted Answer

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

Identify the following statements as either true or false. The set of integers is a subset of the set of rational numbers.

Simplify the expression. $-5(2)(-3)$

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 . 2,639

The temperature at noon is 10 degrees below Fahrenheit 0. By 1:00 it has risen 4 degrees. Write an expression using the numbers -10 and 4 to describe this situation.

Find the fourth term in the sequence. $Find the fourth term in the sequence. Enter a fraction as your answer, as necessary.$ Enter a fraction as your answer, as necessary.

The following bar chart gives the number of calories burned by a 150-pound person during 1 hour of various exercises. Use the bar char to determine the number of calories burned during 1 hour of skiing.

Use the rule for order of operations to simplify the expression as much as possible. $8+3.6$

Work the following problem using the rule for addition of real numbers. $9+(-4)$

Perform the indicated operations. Simplify as much as possible. $\frac{4(-7-4)+5(9-10)}{7(-2)+4(-5)}$

Expand and multiply. $6^{2}$

Simplify the expression , and then factor the result into the product of primes. (Notice one of the factors of the answer is 5.)

Perform the indicated operation and reduce the answer to lowest terms.

Expand and multiply. $8^{2}$

For the sentence below, write an equivalent expression in symbols. The sum of x and 6 is 14.

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

For the sentence below, write an equivalent expression in symbols. The product of $7$ and y is less than or equal to the sum of y and $6$ .

Find the perimeter and area of the figure. perimeter = inch(es) area = square inch(es)

What is the quotient of -10 and -5?

Perform the indicated operation and reduce to lowest terms.

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

Identify the following statements as either true or false. The set of integers is a subset of the set of rational numbers.

Simplify the expression. −5(2)(−3)-5(2)(-3)−5(2)(−3)

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 . 2,639

The temperature at noon is 10 degrees below Fahrenheit 0. By 1:00 it has risen 4 degrees. Write an expression using the numbers -10 and 4 to describe this situation.

Find the fourth term in the sequence. Enter a fraction as your answer, as necessary.

The following bar chart gives the number of calories burned by a 150-pound person during 1 hour of various exercises. Use the bar char to determine the number of calories burned during 1 hour of skiing.

Use the rule for order of operations to simplify the expression as much as possible. 8+3.68+3.68+3.6

Work the following problem using the rule for addition of real numbers. 9+(−4)9+(-4)9+(−4)

Perform the indicated operations. Simplify as much as possible. 4(−7−4)+5(9−10)7(−2)+4(−5)\frac{4(-7-4)+5(9-10)}{7(-2)+4(-5)}7(−2)+4(−5)4(−7−4)+5(9−10)​

Expand and multiply. 626^{2}62

Simplify the expression , and then factor the result into the product of primes. (Notice one of the factors of the answer is 5.)

Perform the indicated operation and reduce the answer to lowest terms.

Expand and multiply. 828^{2}82

For the sentence below, write an equivalent expression in symbols. The sum of x and 6 is 14.

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

For the sentence below, write an equivalent expression in symbols. The product of 777 and y is less than or equal to the sum of y and 666 .

Find the perimeter and area of the figure. perimeter = __________ inch(es) area = __________ square inch(es)

What is the quotient of -10 and -5?

Perform the indicated operation and reduce to lowest terms.

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

Simplify the expression. $-5(2)(-3)$

Find the fourth term in the sequence. $Find the fourth term in the sequence. Enter a fraction as your answer, as necessary.$ Enter a fraction as your answer, as necessary.

Use the rule for order of operations to simplify the expression as much as possible. $8+3.6$

Work the following problem using the rule for addition of real numbers. $9+(-4)$

Perform the indicated operations. Simplify as much as possible. $\frac{4(-7-4)+5(9-10)}{7(-2)+4(-5)}$

Expand and multiply. $6^{2}$

Expand and multiply. $8^{2}$

For the sentence below, write an equivalent expression in symbols. The product of $7$ and y is less than or equal to the sum of y and $6$ .

Find the perimeter and area of the figure. perimeter = inch(es) area = square inch(es)