Question 1

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

Accepted Answer

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

Question 2

Simplify the expression. $8(-2)^{3}-7(-2)^{4}$

Accepted Answer

A)  $-176$ 
B)  $8$ 
C)  $176$ 
D)  $-409$ 
E)  $-8$ 
A)  $-176$ 
B)  $8$ 
C)  $176$ 
D)  $-409$ 
E)  $-8$

Question 3

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

Accepted Answer

The answer of Perform the indicated operation and reduce to...

Question 4

What is the quotient of $-30$ and $-5$ ?

Accepted Answer

A)  $-\frac{1}{6}$ 
B)  $-6$ 
C)  $6$ 
D)  $\frac{1}{6}$ 
E)  $-30$ 
A)  $-\frac{1}{6}$ 
B)  $-6$ 
C)  $6$ 
D)  $\frac{1}{6}$ 
E)  $-30$

Question 5

Find the product. $-6(-1)$

Accepted Answer

A)  $-6$ 
B)  $7$ 
C)  $5$ 
D)  $-7$ 
E)  $6$ 
A)  $-6$ 
B)  $7$ 
C)  $5$ 
D)  $-7$ 
E)  $6$

Question 6

Multiply the following fraction. $\left(-\frac{5}{7}\right)^{2}$

Accepted Answer

The answer of Multiply the following fraction. $\left(-\frac{5}{7}\right)^{2}$...

Question 7

Divide and reduce the answer to lowest terms. $-\frac{7}{8} \div \frac{7}{8}$

Accepted Answer

The answer of Divide and reduce the answer to lowest...

Question 8

Use the associative property to rewrite the expression, and then simplify the result.

Accepted Answer

The answer of Use the associative property to rewrite the...

Question 9

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

Accepted Answer

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

Question 10

Apply the distributive property. Simplify when possible.

Accepted Answer

The answer of Apply the distributive property. Simplify when possible....

Question 11

Work the problem using the rule for addition of real numbers. $-1+(-3)+[-6+(-2)]$

Accepted Answer

A)  $-4$ 
B)  $12$ 
C)  $-12$ 
D)  $-8$ 
E)  $4$ 
A)  $-4$ 
B)  $12$ 
C)  $-12$ 
D)  $-8$ 
E)  $4$

Question 12

Factor   into the product of prime factors by first factoring 21 and 45 completely.

Accepted Answer

The answer of Factor   into the product of...

Question 13

Simplify the expression. $10-|9-2(4-2)|$

Accepted Answer

A)  $9$ 
B)  $-4$ 
C)  $4$ 
D)  $5$ 
E)  $-5$ 
A)  $9$ 
B)  $-4$ 
C)  $4$ 
D)  $5$ 
E)  $-5$

Question 14

Work the following problem using the rule for addition of real numbers. $-13+(-20)$

Accepted Answer

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

Question 15

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.

Accepted Answer

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

Question 16

Perform the indicated operations. Simplify as much as possible. $\frac{|8-4|}{8-4}$ Do not convert fractions to decimal form.

Accepted Answer

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

Question 17

For the sentence below, write an equivalent expression in symbols. The sum of x and $3$ is $15$ .

Accepted Answer

A)  $x+15=3$ 
B)  $x=18$ 
C)  $x=3+15$ 
D)  $3 x=15$ 
E)  $x+3=15$ 
A)  $x+15=3$ 
B)  $x=18$ 
C)  $x=3+15$ 
D)  $3 x=15$ 
E)  $x+3=15$

Question 18

Simplify. $-11+2(-3+9)+(-8)$

Accepted Answer

The answer of Simplify. $-11+2(-3+9)+(-8)$...

Question 19

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

Accepted Answer

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

Question 20

Use the rule for order of operations to simplify the expression as much as possible. $3 \cdot 10^{2}+2 \cdot 10+6$

Accepted Answer

A)  $326$ 
B)  $86$ 
C)  $3,066$ 
D)  $9,026$ 
E)  $926$ 
A)  $326$ 
B)  $86$ 
C)  $3,066$ 
D)  $9,026$ 
E)  $926$

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

Simplify the expression. $8(-2)^{3}-7(-2)^{4}$

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

What is the quotient of $-30$ and $-5$ ?

Find the product. $-6(-1)$

Multiply the following fraction. $\left(-\frac{5}{7}\right)^{2}$

Divide and reduce the answer to lowest terms. $-\frac{7}{8} \div \frac{7}{8}$

Use the associative property to rewrite the expression, and then simplify the result.

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

Apply the distributive property. Simplify when possible.

Work the problem using the rule for addition of real numbers. $-1+(-3)+[-6+(-2)]$

Factor into the product of prime factors by first factoring 21 and 45 completely.

Simplify the expression. $10-|9-2(4-2)|$

Work the following problem using the rule for addition of real numbers. $-13+(-20)$

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.

Perform the indicated operations. Simplify as much as possible. $\frac{|8-4|}{8-4}$ Do not convert fractions to decimal form.

For the sentence below, write an equivalent expression in symbols. The sum of x and $3$ is $15$ .

Simplify. $-11+2(-3+9)+(-8)$

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

Use the rule for order of operations to simplify the expression as much as possible. $3 \cdot 10^{2}+2 \cdot 10+6$

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions

Roots and Radicals

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Exam 1: The Basics

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

Simplify the expression. 8(−2)3−7(−2)48(-2)^{3}-7(-2)^{4}8(−2)3−7(−2)4

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

What is the quotient of −30-30−30 and −5-5−5 ?

Find the product. −6(−1)-6(-1)−6(−1)

Multiply the following fraction. (−57)2\left(-\frac{5}{7}\right)^{2}(−75​)2

Divide and reduce the answer to lowest terms. −78÷78-\frac{7}{8} \div \frac{7}{8}−87​÷87​

Use the associative property to rewrite the expression, and then simplify the result.

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

Apply the distributive property. Simplify when possible.

Work the problem using the rule for addition of real numbers. −1+(−3)+[−6+(−2)]-1+(-3)+[-6+(-2)]−1+(−3)+[−6+(−2)]

Factor into the product of prime factors by first factoring 21 and 45 completely.

Simplify the expression. 10−∣9−2(4−2)∣10-|9-2(4-2)|10−∣9−2(4−2)∣

Work the following problem using the rule for addition of real numbers. −13+(−20)-13+(-20)−13+(−20)

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.

Perform the indicated operations. Simplify as much as possible. ∣8−4∣8−4\frac{|8-4|}{8-4}8−4∣8−4∣​ Do not convert fractions to decimal form.

For the sentence below, write an equivalent expression in symbols. The sum of x and 333 is 151515 .

Simplify. −11+2(−3+9)+(−8)-11+2(-3+9)+(-8)−11+2(−3+9)+(−8)

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

Use the rule for order of operations to simplify the expression as much as possible. 3⋅102+2⋅10+63 \cdot 10^{2}+2 \cdot 10+63⋅102+2⋅10+6

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. $8(-2)^{3}-7(-2)^{4}$

What is the quotient of $-30$ and $-5$ ?

Find the product. $-6(-1)$

Multiply the following fraction. $\left(-\frac{5}{7}\right)^{2}$

Divide and reduce the answer to lowest terms. $-\frac{7}{8} \div \frac{7}{8}$

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

Work the problem using the rule for addition of real numbers. $-1+(-3)+[-6+(-2)]$

Simplify the expression. $10-|9-2(4-2)|$

Work the following problem using the rule for addition of real numbers. $-13+(-20)$

Perform the indicated operations. Simplify as much as possible. $\frac{|8-4|}{8-4}$ Do not convert fractions to decimal form.

For the sentence below, write an equivalent expression in symbols. The sum of x and $3$ is $15$ .

Simplify. $-11+2(-3+9)+(-8)$

Use the rule for order of operations to simplify the expression as much as possible. $3 \cdot 10^{2}+2 \cdot 10+6$