Question 1

Perform the indicated operation and reduce to lowest terms.

Accepted Answer

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

Question 2

The following is a geometric sequence. Find the next number in the sequence. $1, \frac{1}{6}, \frac{1}{36}$

Accepted Answer

A)  $-\frac{1}{216}$ 
B)  $\frac{1}{6}$ 
C)  $\frac{1}{216}$ 
D)  $\frac{1}{42}$ 
E)  $-\frac{1}{42}$ 
A)  $-\frac{1}{216}$ 
B)  $\frac{1}{6}$ 
C)  $\frac{1}{216}$ 
D)  $\frac{1}{42}$ 
E)  $-\frac{1}{42}$ C

Question 3

Use the rule for order of operations to simplify the expression as much as possible. $12-4(3 \cdot 2-11)$

Accepted Answer

A)  $37$ 
B)  $32$ 
C)  $59$ 
D)  $216$ 
E)  $40$ 
A)  $37$ 
B)  $32$ 
C)  $59$ 
D)  $216$ 
E)  $40$ B

Question 4

Reduce the fraction to lowest terms.

Accepted Answer

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

Question 5

Find the LCD for each of the following; then perform the indicated operation.

Accepted Answer

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

Question 6

Factor   into the product of prime factors.

Accepted Answer

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

Question 7

Use the rule for order of operations to simplify the expression as much as possible. $6+5 \cdot 9$

Accepted Answer

A)  $20$ 
B)  $50$ 
C)  $51$ 
D)  $99$ 
E)  $59$ 
A)  $20$ 
B)  $50$ 
C)  $51$ 
D)  $99$ 
E)  $59$

Question 8

The temperature is $43^{\circ} \mathrm{F}$ at 4:00 in the afternoon. If the temperature drops $4^{\circ} \mathrm{F}$ every hour after that, what is the temperature at 11:00 in the evening? __________ ${\circ} \mathrm{F}$

Accepted Answer

The answer of The temperature is $43^{\circ} \mathrm{F}$ at 4:00...

Question 9

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 10

Perform the indicated operations. Simplify as much as possible. $\frac{(5+3)^{2}}{-5^{2}-3^{2}}$ Do not convert fractions to decimal form.

Accepted Answer

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

Question 11

Work the following problem using the rule for addition of real numbers. $-13+(-19)$

Accepted Answer

A)  $-29$ 
B)  $32$ 
C)  $6$ 
D)  $-6$ 
E)  $-32$ 
A)  $-29$ 
B)  $32$ 
C)  $6$ 
D)  $-6$ 
E)  $-32$

Question 12

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 13

Divide and reduce the answer to lowest terms. $\frac{8}{9} \div \frac{8}{9}$

Accepted Answer

A)  $\frac{64}{81}$ 
B)  $\frac{16}{9}$ 
C)  $1$ 
D)  $\frac{81}{64}$ 
E)  $\frac{8}{81}$ 
A)  $\frac{64}{81}$ 
B)  $\frac{16}{9}$ 
C)  $1$ 
D)  $\frac{81}{64}$ 
E)  $\frac{8}{81}$

Question 14

Work the following problem using the rule for addition of real numbers. $(-9+2)+[1+(-7)]+(-4)$

Accepted Answer

A)  $1$ 
B)  $-23$ 
C)  $-17$ 
D)  $21$ 
E)  $17$ 
A)  $1$ 
B)  $-23$ 
C)  $-17$ 
D)  $21$ 
E)  $17$

Question 15

Work the following problem using the rule for addition of real numbers. $-26+9$

Accepted Answer

A)  $-26$ 
B)  $17$ 
C)  $-35$ 
D)  $-17$ 
E)  $35$ 
A)  $-26$ 
B)  $17$ 
C)  $-35$ 
D)  $-17$ 
E)  $35$

Question 16

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

Accepted Answer

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

Question 17

Find the next number in the sequence. $9,-36,144$

Accepted Answer

A)  $585$ 
B)  $576$ 
C)  $-36$ 
D)  $-576$ 
E)  $-585$ 
A)  $585$ 
B)  $576$ 
C)  $-36$ 
D)  $-576$ 
E)  $-585$

Question 18

Identify the following statements as either true or false.
The set of rational numbers and the set of irrational numbers have some elements in common.

Accepted Answer

A)  true 
B)  false 
A)  true 
B)  false

Question 19

Apply the distributive property. Simplify when possible. $8(x+2)$

Accepted Answer

A)  $x+20$ 
B)  $8 x+8$ 
C)  $x+16$ 
D)  $16 x$ 
E)  $8 x+16$ 
A)  $x+20$ 
B)  $8 x+8$ 
C)  $x+16$ 
D)  $16 x$ 
E)  $8 x+16$

Question 20

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

Accepted Answer

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

Perform the indicated operation and reduce to lowest terms.

The following is a geometric sequence. Find the next number in the sequence. $1, \frac{1}{6}, \frac{1}{36}$

Use the rule for order of operations to simplify the expression as much as possible. $12-4(3 \cdot 2-11)$

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.

Factor into the product of prime factors.

Use the rule for order of operations to simplify the expression as much as possible. $6+5 \cdot 9$

The temperature is $43^{\circ} \mathrm{F}$ at 4:00 in the afternoon. If the temperature drops $4^{\circ} \mathrm{F}$ every hour after that, what is the temperature at 11:00 in the evening? __________ ${\circ} \mathrm{F}$

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.

Perform the indicated operations. Simplify as much as possible. $\frac{(5+3)^{2}}{-5^{2}-3^{2}}$ Do not convert fractions to decimal form.

Work the following problem using the rule for addition of real numbers. $-13+(-19)$

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

Divide and reduce the answer to lowest terms. $\frac{8}{9} \div \frac{8}{9}$

Work the following problem using the rule for addition of real numbers. $(-9+2)+[1+(-7)]+(-4)$

Work the following problem using the rule for addition of real numbers. $-26+9$

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

Find the next number in the sequence. $9,-36,144$

Identify the following statements as either true or false. The set of rational numbers and the set of irrational numbers have some elements in common.

Apply the distributive property. Simplify when possible. $8(x+2)$

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

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

Perform the indicated operation and reduce to lowest terms.

The following is a geometric sequence. Find the next number in the sequence. 1,16,1361, \frac{1}{6}, \frac{1}{36}1,61​,361​

Use the rule for order of operations to simplify the expression as much as possible. 12−4(3⋅2−11)12-4(3 \cdot 2-11)12−4(3⋅2−11)

Reduce the fraction to lowest terms.

Find the LCD for each of the following; then perform the indicated operation.

Factor into the product of prime factors.

Use the rule for order of operations to simplify the expression as much as possible. 6+5⋅96+5 \cdot 96+5⋅9

The temperature is 43∘F43^{\circ} \mathrm{F}43∘F at 4:00 in the afternoon. If the temperature drops 4∘F4^{\circ} \mathrm{F}4∘F every hour after that, what is the temperature at 11:00 in the evening? __________ ∘F{\circ} \mathrm{F}∘F

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

Perform the indicated operations. Simplify as much as possible. (5+3)2−52−32\frac{(5+3)^{2}}{-5^{2}-3^{2}}−52−32(5+3)2​ Do not convert fractions to decimal form.

Work the following problem using the rule for addition of real numbers. −13+(−19)-13+(-19)−13+(−19)

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

Divide and reduce the answer to lowest terms. 89÷89\frac{8}{9} \div \frac{8}{9}98​÷98​

Work the following problem using the rule for addition of real numbers. (−9+2)+[1+(−7)]+(−4)(-9+2)+[1+(-7)]+(-4)(−9+2)+[1+(−7)]+(−4)

Work the following problem using the rule for addition of real numbers. −26+9-26+9−26+9

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

Find the next number in the sequence. 9,−36,1449,-36,1449,−36,144

Identify the following statements as either true or false. The set of rational numbers and the set of irrational numbers have some elements in common.

Apply the distributive property. Simplify when possible. 8(x+2)8(x+2)8(x+2)

Use the rule for order of operations to simplify the expression as much as possible. (5+4)2(5+4)^{2}(5+4)2

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 following is a geometric sequence. Find the next number in the sequence. $1, \frac{1}{6}, \frac{1}{36}$

Use the rule for order of operations to simplify the expression as much as possible. $12-4(3 \cdot 2-11)$

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

Use the rule for order of operations to simplify the expression as much as possible. $6+5 \cdot 9$

The temperature is $43^{\circ} \mathrm{F}$ at 4:00 in the afternoon. If the temperature drops $4^{\circ} \mathrm{F}$ every hour after that, what is the temperature at 11:00 in the evening? __________ ${\circ} \mathrm{F}$

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.

Perform the indicated operations. Simplify as much as possible. $\frac{(5+3)^{2}}{-5^{2}-3^{2}}$ Do not convert fractions to decimal form.

Work the following problem using the rule for addition of real numbers. $-13+(-19)$

Divide and reduce the answer to lowest terms. $\frac{8}{9} \div \frac{8}{9}$

Work the following problem using the rule for addition of real numbers. $(-9+2)+[1+(-7)]+(-4)$

Work the following problem using the rule for addition of real numbers. $-26+9$

Find the next number in the sequence. $9,-36,144$

Apply the distributive property. Simplify when possible. $8(x+2)$

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