Question 1

Let x , y , and z represent three real numbers. Write an algebraic expression to denote the product of z , x , and y .

Accepted Answer

A)  $x y - z$ 
B)  $z - y$ 
C)  $x y z$ 
D)  $z - x y$ 
E)  $x + 2 z$ 
A)  $x y - z$ 
B)  $z - y$ 
C)  $x y z$ 
D)  $z - x y$ 
E)  $x + 2 z$ C

Question 2

Simplify the numerical expression. $$4 ( 0.1 ) ^ { 2 } - 4 ( 0.1 ) + 0.2$$

Accepted Answer

A) -3.16 
B) -2.16 
C) -0.16 
D) -5.16 
E) 0.84 
A) -3.16 
B) -2.16 
C) -0.16 
D) -5.16 
E) 0.84 C

Question 3

Simplify the complex fraction. $$\frac { \frac { 3 } { 4 } + \frac { 1 } { 4 } } { \frac { 3 } { 4 } - \frac { 1 } { 4 } }$$

Accepted Answer

2

Question 4

Find the LCM of 20 and 16.

Accepted Answer

A) 80 
B) 500 
C) 25 
D) 320 
A) 80 
B) 500 
C) 25 
D) 320

Question 5

Graph the set on the number line. $$( - \infty , - 5 ] \cup [ 6 , \infty )$$

Accepted Answer

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

Question 6

Match between columns
                        Premises: natural

Accepted Answer

The Answer of {0,1, 2, 3, ...} and {1, 2, is...

Question 7

Find the quotient. $$\left( - \frac { 3 } { 7 } \right) \div \left( - \frac { 7 } { 14 } \right)$$

Accepted Answer

A)  $\frac { 6 } { 49 }$ 
B)  $- \frac { 6 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $- \frac { 2 } { 7 }$ 
E)  $\frac { 2 } { 7 }$ 
A)  $\frac { 6 } { 49 }$ 
B)  $- \frac { 6 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $- \frac { 2 } { 7 }$ 
E)  $\frac { 2 } { 7 }$

Question 8

Simplify the algebraic expression by removing parentheses and combining similar terms. $$4 ( x + 1 ) + 6 ( x + 4 )$$

Accepted Answer

A)  $10 x - 28$ 
B)  $10 x + 28$ 
C)  $28 x - 10$ 
D)  $28 x + 10$ 
E)  $10 x - 7$ 
A)  $10 x - 28$ 
B)  $10 x + 28$ 
C)  $28 x - 10$ 
D)  $28 x + 10$ 
E)  $10 x - 7$

Question 9

Perform the operation. $$\frac { 2 } { 7 } \left( - \frac { 35 } { 2 } \right)$$

Accepted Answer

A)  $2$ 
B)  $- 5$ 
C)  $- 2$ 
D)  $5$ 
E) none of these 
A)  $2$ 
B)  $- 5$ 
C)  $- 2$ 
D)  $5$ 
E) none of these

Question 10

Find the LCM and the GCF of 100 and 120.

Accepted Answer

A) 120, 20 
B) 600, 40 
C) 600, 20 
D) 12,000, 40 
A) 120, 20 
B) 600, 40 
C) 600, 20 
D) 12,000, 40

Question 11

Find the quotient. $$\frac { 1 } { 5 } \div \frac { 11 } { 2 }$$

Accepted Answer

A)  $\frac { 3 } { 58 }$ 
B)  $\frac { 2 } { 55 }$ 
C)  $\frac { 1 } { 15 }$ 
D)  $\frac { 5 } { 58 }$ 
E)  $\frac { 1 } { 8 }$ 
A)  $\frac { 3 } { 58 }$ 
B)  $\frac { 2 } { 55 }$ 
C)  $\frac { 1 } { 15 }$ 
D)  $\frac { 5 } { 58 }$ 
E)  $\frac { 1 } { 8 }$

Question 12

Perform the multiplication. Simplify the result when possible. $$\frac { 5 } { 32 } \cdot \frac { 36 } { 5 }$$

Accepted Answer

A)  $\frac { 7 } { 6 }$ 
B)  9
$$8$$ 
C)  $\frac { 5 } { 6 }$ 
D)  $\frac { 6 } { 5 }$ 
E)  $\frac { 8 } { 7 }$ 
A)  $\frac { 7 } { 6 }$ 
B)  9
$$8$$ 
C)  $\frac { 5 } { 6 }$ 
D)  $\frac { 6 } { 5 }$ 
E)  $\frac { 8 } { 7 }$

Question 13

Simplify the algebraic expression by removing parentheses and combining similar terms. 5(- x - 1)- 3(5 x + 1)- 4( x + 3)

Accepted Answer

A) -24 x - 20 
B) -22 x - 20 
C) -22 x - 16 
D) 22 x + 20 
E) -24 x - 16 
A) -24 x - 20 
B) -22 x - 20 
C) -22 x - 16 
D) 22 x + 20 
E) -24 x - 16

Question 14

Find the value of the expression. $$- | - 35 |$$

Accepted Answer

A) - 35 
B) 35 
C) 80 
D) - 80 
E) 0 
A) - 35 
B) 35 
C) 80 
D) - 80 
E) 0

Question 15

Simplify the numerical expression. $$( 5 - 8 ) ^ { 2 }$$

Accepted Answer

A) 9 
B) 8 
C) -9 
D) 11 
E) -5 
A) 9 
B) 8 
C) -9 
D) 11 
E) -5

Question 16

Evaluate the expression. $8 \frac { 4 } { 7 } \cdot \left( - \frac { 1 } { 3 } \right) ^ { 2 } \cdot \left( \frac { 2 } { 3 } \right)$

Accepted Answer

The answer of Evaluate the expression. \(8 \frac { 4...

Question 17

Dividing a decimal by $10 ^ { 3 }$ is equivalent to multiplying it by which number?

Accepted Answer

A)  $10 ^ { - 1.5 }$ 
B)  $10 ^ { 6 }$ 
C)  $10 ^ { - 3 }$ 
D)  $10 ^ { 1.5 }$ 
E)  $10 ^ { 3 }$ 
A)  $10 ^ { - 1.5 }$ 
B)  $10 ^ { 6 }$ 
C)  $10 ^ { - 3 }$ 
D)  $10 ^ { 1.5 }$ 
E)  $10 ^ { 3 }$

Question 18

Evaluate the expression. $$( 4.26 ) ^ { 2 } - ( 4.62 ) ^ { 2 } - ( 0.16 ) ^ { 2 }$$

Accepted Answer

A) - 6.8 
B) - 1.5 
C) - 4.3 
D) - 3.2 
E) - 0.4 
A) - 6.8 
B) - 1.5 
C) - 4.3 
D) - 3.2 
E) - 0.4

Question 19

Evaluate the expression. $$\left( 1 - \frac { 1 } { 3 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 3 } \right) ^ { 2 }$$

Accepted Answer

A)  $2 \frac { 2 } { 9 }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $3 \frac { 2 } { 9 }$ 
D)  $1 \frac { 2 } { 9 }$ 
E)  $1 \frac { 1 } { 9 }$ 
A)  $2 \frac { 2 } { 9 }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $3 \frac { 2 } { 9 }$ 
D)  $1 \frac { 2 } { 9 }$ 
E)  $1 \frac { 1 } { 9 }$

Question 20

The set of __________ numbers is {1, 2, 3, 4, ... }.

Accepted Answer

A) irrational 
B) integer 
C) natural 
D) whole 
E) negative 
A) irrational 
B) integer 
C) natural 
D) whole 
E) negative

Let x , y , and z represent three real numbers. Write an algebraic expression to denote the product of z , x , and y .

Simplify the numerical expression. $4 ( 0.1 ) ^ { 2 } - 4 ( 0.1 ) + 0.2$

Simplify the complex fraction. $\frac { \frac { 3 } { 4 } + \frac { 1 } { 4 } } { \frac { 3 } { 4 } - \frac { 1 } { 4 } }$

Find the LCM of 20 and 16.

Graph the set on the number line. $( - \infty , - 5 ] \cup [ 6 , \infty )$

Find the quotient. $\left( - \frac { 3 } { 7 } \right) \div \left( - \frac { 7 } { 14 } \right)$

Simplify the algebraic expression by removing parentheses and combining similar terms. $4 ( x + 1 ) + 6 ( x + 4 )$

Perform the operation. $\frac { 2 } { 7 } \left( - \frac { 35 } { 2 } \right)$

Find the LCM and the GCF of 100 and 120.

Find the quotient. $\frac { 1 } { 5 } \div \frac { 11 } { 2 }$

Perform the multiplication. Simplify the result when possible. $\frac { 5 } { 32 } \cdot \frac { 36 } { 5 }$

Simplify the algebraic expression by removing parentheses and combining similar terms. 5(- x - 1)- 3(5 x + 1)- 4( x + 3)

Find the value of the expression. $- | - 35 |$

Simplify the numerical expression. $( 5 - 8 ) ^ { 2 }$

Evaluate the expression. $8 \frac { 4 } { 7 } \cdot \left( - \frac { 1 } { 3 } \right) ^ { 2 } \cdot \left( \frac { 2 } { 3 } \right)$

Dividing a decimal by $10 ^ { 3 }$ is equivalent to multiplying it by which number?

Evaluate the expression. $( 4.26 ) ^ { 2 } - ( 4.62 ) ^ { 2 } - ( 0.16 ) ^ { 2 }$

Evaluate the expression. $\left( 1 - \frac { 1 } { 3 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 3 } \right) ^ { 2 }$

The set of __________ numbers is {1, 2, 3, 4, ... }.

Equations, Inequalities, and Problem Solving

Polynomials

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Equations and Inequalities in Two Variables

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Exam 1: Basic Concepts and Properties

Let x , y , and z represent three real numbers. Write an algebraic expression to denote the product of z , x , and y .

Simplify the numerical expression. 4(0.1)2−4(0.1)+0.24 ( 0.1 ) ^ { 2 } - 4 ( 0.1 ) + 0.24(0.1)2−4(0.1)+0.2

Simplify the complex fraction. 34+1434−14\frac { \frac { 3 } { 4 } + \frac { 1 } { 4 } } { \frac { 3 } { 4 } - \frac { 1 } { 4 } }43​−41​43​+41​​

Find the LCM of 20 and 16.

Graph the set on the number line. (−∞,−5]∪[6,∞)( - \infty , - 5 ] \cup [ 6 , \infty )(−∞,−5]∪[6,∞)

Find the quotient. (−37)÷(−714)\left( - \frac { 3 } { 7 } \right) \div \left( - \frac { 7 } { 14 } \right)(−73​)÷(−147​)

Simplify the algebraic expression by removing parentheses and combining similar terms. 4(x+1)+6(x+4)4 ( x + 1 ) + 6 ( x + 4 )4(x+1)+6(x+4)

Perform the operation. 27(−352)\frac { 2 } { 7 } \left( - \frac { 35 } { 2 } \right)72​(−235​)

Find the LCM and the GCF of 100 and 120.

Find the quotient. 15÷112\frac { 1 } { 5 } \div \frac { 11 } { 2 }51​÷211​

Perform the multiplication. Simplify the result when possible. 532⋅365\frac { 5 } { 32 } \cdot \frac { 36 } { 5 }325​⋅536​

Simplify the algebraic expression by removing parentheses and combining similar terms. 5(- x - 1)- 3(5 x + 1)- 4( x + 3)

Find the value of the expression. −∣−35∣- | - 35 |−∣−35∣

Simplify the numerical expression. (5−8)2( 5 - 8 ) ^ { 2 }(5−8)2

Evaluate the expression. 847⋅(−13)2⋅(23)8 \frac { 4 } { 7 } \cdot \left( - \frac { 1 } { 3 } \right) ^ { 2 } \cdot \left( \frac { 2 } { 3 } \right)874​⋅(−31​)2⋅(32​)

Dividing a decimal by 10310 ^ { 3 }103 is equivalent to multiplying it by which number?

Evaluate the expression. (4.26)2−(4.62)2−(0.16)2( 4.26 ) ^ { 2 } - ( 4.62 ) ^ { 2 } - ( 0.16 ) ^ { 2 }(4.26)2−(4.62)2−(0.16)2

Evaluate the expression. (1−13)2+(1+13)2\left( 1 - \frac { 1 } { 3 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 3 } \right) ^ { 2 }(1−31​)2+(1+31​)2

The set of __________ numbers is {1, 2, 3, 4, ... }.

Equations, Inequalities, and Problem Solving

Polynomials

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Equations and Inequalities in Two Variables

Conic Sections

Functions

Systems of Equations

Exponential and Logarithmic Functions

Filters

Simplify the numerical expression. $4 ( 0.1 ) ^ { 2 } - 4 ( 0.1 ) + 0.2$

Simplify the complex fraction. $\frac { \frac { 3 } { 4 } + \frac { 1 } { 4 } } { \frac { 3 } { 4 } - \frac { 1 } { 4 } }$

Graph the set on the number line. $( - \infty , - 5 ] \cup [ 6 , \infty )$

Find the quotient. $\left( - \frac { 3 } { 7 } \right) \div \left( - \frac { 7 } { 14 } \right)$

Simplify the algebraic expression by removing parentheses and combining similar terms. $4 ( x + 1 ) + 6 ( x + 4 )$

Perform the operation. $\frac { 2 } { 7 } \left( - \frac { 35 } { 2 } \right)$

Find the quotient. $\frac { 1 } { 5 } \div \frac { 11 } { 2 }$

Perform the multiplication. Simplify the result when possible. $\frac { 5 } { 32 } \cdot \frac { 36 } { 5 }$

Find the value of the expression. $- | - 35 |$

Simplify the numerical expression. $( 5 - 8 ) ^ { 2 }$

Evaluate the expression. $8 \frac { 4 } { 7 } \cdot \left( - \frac { 1 } { 3 } \right) ^ { 2 } \cdot \left( \frac { 2 } { 3 } \right)$

Dividing a decimal by $10 ^ { 3 }$ is equivalent to multiplying it by which number?

Evaluate the expression. $( 4.26 ) ^ { 2 } - ( 4.62 ) ^ { 2 } - ( 0.16 ) ^ { 2 }$

Evaluate the expression. $\left( 1 - \frac { 1 } { 3 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 3 } \right) ^ { 2 }$