Question 1

Apply the distributive property. Simplify when possible. $\frac{1}{3}(15 x+12 y)$

Accepted Answer

A)  $5 x+4 y$ 
B)  $5 x+5 y$ 
C)  $6 x+3 y$ 
D)  $5 x+y$ 
E)  $4 x+5 y$ 
A)  $5 x+4 y$ 
B)  $5 x+5 y$ 
C)  $6 x+3 y$ 
D)  $5 x+y$ 
E)  $4 x+5 y$

Question 2

State the property or properties that justify the following statement. $2(x y)=2(y x)$

Accepted Answer

A)  Commutative property. 
B)  Distributive property. 
C)  Associative property. 
D)  Additive inverse property. 
E)  Multiplicative inverse property. 
A)  Commutative property. 
B)  Distributive property. 
C)  Associative property. 
D)  Additive inverse property. 
E)  Multiplicative inverse property.

Question 3

Give the reciprocal for the number 9.

Accepted Answer

A)  $\frac{1}{90}$ 
B)  $-\frac{1}{9}$ 
C)  $\frac{1}{9}$ 
D)  $-9$ 
E)  $9$ 
A)  $\frac{1}{90}$ 
B)  $-\frac{1}{9}$ 
C)  $\frac{1}{9}$ 
D)  $-9$ 
E)  $9$

Question 4

Perform the indicated operations. Simplify as much as possible. $\frac{-30(-9)}{-45}$

Accepted Answer

A)  $-54$ 
B)  $-\frac{1}{6}$ 
C)  $6$ 
D)  $-6$ 
E)  $\frac{1}{6}$ 
A)  $-54$ 
B)  $-\frac{1}{6}$ 
C)  $6$ 
D)  $-6$ 
E)  $\frac{1}{6}$

Question 5

Use the associative property to rewrite the expression, and then simplify the result. $\frac{1}{7}(6 a)$

Accepted Answer

A)  $42 a$ 
B)  $13 a$ 
C)  $\frac{1}{13} a$ 
D)  $\frac{6}{7} a$ 
E)  $\frac{7}{6} a$ 
A)  $42 a$ 
B)  $13 a$ 
C)  $\frac{1}{13} a$ 
D)  $\frac{6}{7} a$ 
E)  $\frac{7}{6} a$

Question 6

For the sentence below, write an equivalent expression in symbols. 
 
 The product of 3 and y is less than or equal to the sum of y and 5.

Accepted Answer

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

Question 7

Perform the indicated operations. $-4 \div 28$

Accepted Answer

A)  $-7$ 
B)  $-\frac{1}{7}$ 
C)  $7$ 
D)  $\frac{1}{7}$ 
E)  $-\frac{1}{4}$ 
A)  $-7$ 
B)  $-\frac{1}{7}$ 
C)  $7$ 
D)  $\frac{1}{7}$ 
E)  $-\frac{1}{4}$

Question 8

Reduce the fraction to lowest terms.

Accepted Answer

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

Question 9

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 10

Write the following fraction as an equivalent fraction with denominator 36. $\frac{2}{9}$

Accepted Answer

The answer of Write the following fraction as an equivalent...

Question 11

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 12

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

Accepted Answer

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

Question 13

Multiply the following. $\frac{1}{6} \cdot \frac{5}{8}$

Accepted Answer

The answer of Multiply the following. $\frac{1}{6} \cdot \frac{5}{8}$...

Question 14

Apply the distributive property. Simplify when possible.

Accepted Answer

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

Question 15

Apply the distributive property. Simplify when possible.

Accepted Answer

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

Question 16

In 1993 the government standardized the way in which nutrition information was presented on the labels of most packaged food products. The figure shows a standardized food label from a package of cookies that I ate at lunch the day I was writing the problems for this problem set. Use the information in the figure to answer the following question.   If the calories category stands for calories per serving, how many calories did I consume by eating the whole package of cookies?

Accepted Answer

A)  $1,050 \text { calories }$ 
B)  $420 \text { calories }$ 
C)  $390 \text { calories }$ 
D)  $210 \text { calories }$ 
E)  $391 \text { calories }$ 
A)  $1,050 \text { calories }$ 
B)  $420 \text { calories }$ 
C)  $390 \text { calories }$ 
D)  $210 \text { calories }$ 
E)  $391 \text { calories }$

Question 17

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 18

Use the associative property to rewrite the expression, and then simplify the result. $8+(7+x)$

Accepted Answer

A)  $56+x$ 
B)  $8+7 x$ 
C)  $87+x$ 
D)  $15+x$ 
E)  $15 x$ 
A)  $56+x$ 
B)  $8+7 x$ 
C)  $87+x$ 
D)  $15+x$ 
E)  $15 x$

Question 19

Match between columns
                        Premises: 11ec1544_3702_eab9_8a2d_ebed5df518e9_TBX8671_11
$\text { Commutative property. }$

Accepted Answer

The Answer of 11ec1544_3702_eabb_8a2d_9bf6b9d4ce23_TBX8671_11 and 11ec1544_3702_c3a7_8a2d_f14bb99ee025_TBX8671_11 and 11ec1544_3702_eaba_8a2d_7970c35f7e53_TBX8671_11 and 11ec1544_3702_c3a8_8a2d_7fd57a81e750_TBX8671_11 is...

Question 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 by writing prime . 
 
 1,925

Accepted Answer

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

Apply the distributive property. Simplify when possible. $\frac{1}{3}(15 x+12 y)$

State the property or properties that justify the following statement. $2(x y)=2(y x)$

Give the reciprocal for the number 9.

Perform the indicated operations. Simplify as much as possible. $\frac{-30(-9)}{-45}$

Use the associative property to rewrite the expression, and then simplify the result. $\frac{1}{7}(6 a)$

For the sentence below, write an equivalent expression in symbols. The product of 3 and y is less than or equal to the sum of y and 5.

Perform the indicated operations. $-4 \div 28$

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

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.

Write the following fraction as an equivalent fraction with denominator 36. $\frac{2}{9}$

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.

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

Multiply the following. $\frac{1}{6} \cdot \frac{5}{8}$

Apply the distributive property. Simplify when possible.

Apply the distributive property. Simplify when possible.

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.

Use the associative property to rewrite the expression, and then simplify the result. $8+(7+x)$

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 . 1,925

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

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Exam 1: The Basics

Apply the distributive property. Simplify when possible. 13(15x+12y)\frac{1}{3}(15 x+12 y)31​(15x+12y)

State the property or properties that justify the following statement. 2(xy)=2(yx)2(x y)=2(y x)2(xy)=2(yx)

Give the reciprocal for the number 9.

Perform the indicated operations. Simplify as much as possible. −30(−9)−45\frac{-30(-9)}{-45}−45−30(−9)​

Use the associative property to rewrite the expression, and then simplify the result. 17(6a)\frac{1}{7}(6 a)71​(6a)

For the sentence below, write an equivalent expression in symbols. The product of 3 and y is less than or equal to the sum of y and 5.

Perform the indicated operations. −4÷28-4 \div 28−4÷28

Reduce the fraction to lowest terms.

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.

Write the following fraction as an equivalent fraction with denominator 36. 29\frac{2}{9}92​

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.

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

Multiply the following. 16⋅58\frac{1}{6} \cdot \frac{5}{8}61​⋅85​

Apply the distributive property. Simplify when possible.

Apply the distributive property. Simplify when possible.

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.

Use the associative property to rewrite the expression, and then simplify the result. 8+(7+x)8+(7+x)8+(7+x)

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 . 1,925

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

Apply the distributive property. Simplify when possible. $\frac{1}{3}(15 x+12 y)$

State the property or properties that justify the following statement. $2(x y)=2(y x)$

Perform the indicated operations. Simplify as much as possible. $\frac{-30(-9)}{-45}$

Use the associative property to rewrite the expression, and then simplify the result. $\frac{1}{7}(6 a)$

Perform the indicated operations. $-4 \div 28$

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

Write the following fraction as an equivalent fraction with denominator 36. $\frac{2}{9}$

Multiply the following. $\frac{1}{6} \cdot \frac{5}{8}$

Use the associative property to rewrite the expression, and then simplify the result. $8+(7+x)$