Question 1

Find the absolute value. $$| 20 - 12 |$$

Accepted Answer

A) 8 
B) 10 
C) -10 
D) 0 
E) -8 
A) 8 
B) 10 
C) -10 
D) 0 
E) -8

Question 2

Solve the quadratic equation. $n ^ { 2 } - 22 = 0$ Use the following property: For any real number a , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Accepted Answer

A)  $\{ \sqrt { 22 } \}$ 
B)  $\{ 11.0 \}$ 
C)  $\{ \sqrt { 22 } , - \sqrt { 22 } \}$ 
D)  $\{ - \sqrt { 22 } \}$ 
E)  $\{ 22,0 \}$ 
A)  $\{ \sqrt { 22 } \}$ 
B)  $\{ 11.0 \}$ 
C)  $\{ \sqrt { 22 } , - \sqrt { 22 } \}$ 
D)  $\{ - \sqrt { 22 } \}$ 
E)  $\{ 22,0 \}$

Question 3

Perform the addition. Simplify the result when possible. $$\frac { 4 } { 7 } + \frac { 4 } { 7 }$$

Accepted Answer

A)  $\frac { 8 } { 9 }$ 
B)  $\frac { 8 } { 7 }$ 
C)  $\frac { 8 } { 11 }$ 
D)  $\frac { 7 } { 8 }$ 
E)  $\frac { 8 } { 49 }$ 
A)  $\frac { 8 } { 9 }$ 
B)  $\frac { 8 } { 7 }$ 
C)  $\frac { 8 } { 11 }$ 
D)  $\frac { 7 } { 8 }$ 
E)  $\frac { 8 } { 49 }$

Question 4

Evaluate. $$- 4 ^ { 2 } + 4 ^ { 2 }$$

Accepted Answer

The answer of Evaluate. \[- 4 ^ { 2 }...

Question 5

What number is the base in the expression $( - 15 ) ^ { 4 }$ ?

Accepted Answer

The answer of What number is the base in the...

Question 6

Simplify the fraction to lowest terms. $$\frac { 56 } { 7 }$$

Accepted Answer

A)  $\frac { 1 } { 7 }$ 
B)  $7$ 
C)  $\frac { 1 } { 8 }$ 
D)  $8$ 
E)  $\frac { 7 } { 56 }$ 
A)  $\frac { 1 } { 7 }$ 
B)  $7$ 
C)  $\frac { 1 } { 8 }$ 
D)  $8$ 
E)  $\frac { 7 } { 56 }$

Question 7

Evaluate the expression. $$5 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 8 \cdot 10 ^ { 1 } + 5$$

Accepted Answer

A) 5,685 
B) 5,585 
C) 5,590 
D) 5,574 
E) 5,583 
A) 5,685 
B) 5,585 
C) 5,590 
D) 5,574 
E) 5,583

Question 8

Match the statement below with the corresponding property of real numbers. $8 + ( - 8 )$

Accepted Answer

A) Associative property of addition 
B) Commutative property of addition 
C) Commutative property of multiplication 
D) Additive inverse property 
A) Associative property of addition 
B) Commutative property of addition 
C) Commutative property of multiplication 
D) Additive inverse property

Question 9

Find the difference. $$18 \frac { 3 } { 6 } - 11 \frac { 2 } { 30 }$$

Accepted Answer

A)  $7 \frac { 5 } { 6 }$ 
B)  $6 \frac { 17 } { 30 }$ 
C)  $7 \frac { 13 } { 30 }$ 
D)  $29 \frac { 13 } { 30 }$ 
E)  $7 \frac { 17 } { 30 }$ 
A)  $7 \frac { 5 } { 6 }$ 
B)  $6 \frac { 17 } { 30 }$ 
C)  $7 \frac { 13 } { 30 }$ 
D)  $29 \frac { 13 } { 30 }$ 
E)  $7 \frac { 17 } { 30 }$

Question 10

Simplify the numerical expression. $$3 ^ { - 3 }$$

Accepted Answer

A)  $\frac { 1 } { 9 }$ 
B)  $- 27$ 
C)  $\frac { 1 } { 27 }$ 
D)  $27$ 
E)  $\frac { 1 } { 10 }$ 
A)  $\frac { 1 } { 9 }$ 
B)  $- 27$ 
C)  $\frac { 1 } { 27 }$ 
D)  $27$ 
E)  $\frac { 1 } { 10 }$

Question 11

Simplify the numerical expression. $$\left( \frac { 3 ^ { - 1 } } { 5 ^ { - 2 } } \right) ^ { - 1 }$$

Accepted Answer

A)  $\frac { 9 } { 25 }$ 
B)  $\frac { 3 } { 25 }$ 
C)  $\frac { 25 } { 9 }$ 
D)  $\frac { 25 } { 3 }$ 
A)  $\frac { 9 } { 25 }$ 
B)  $\frac { 3 } { 25 }$ 
C)  $\frac { 25 } { 9 }$ 
D)  $\frac { 25 } { 3 }$

Question 12

Evaluate the expression. $$3.5 + | 6.1 + ( - 3.4 ) |$$

Accepted Answer

A) 8.9 
B) 9.7 
C) 6.2 
D) 7.3 
E) 10.6 
A) 8.9 
B) 9.7 
C) 6.2 
D) 7.3 
E) 10.6

Question 13

Multiply and simplify where possible. $$\sqrt { 27 } \sqrt { 33 }$$

Accepted Answer

A)  $11 \sqrt { 11 }$ 
B)  $3 \sqrt { 11 }$ 
C)  $9 \sqrt { 11 }$ 
D)  $11 \sqrt { 3 }$ 
E)  $27 \sqrt { 11 }$ 
A)  $11 \sqrt { 11 }$ 
B)  $3 \sqrt { 11 }$ 
C)  $9 \sqrt { 11 }$ 
D)  $11 \sqrt { 3 }$ 
E)  $27 \sqrt { 11 }$

Question 14

Find the sum. $$( - 0.2 ) + 0.9$$

Accepted Answer

A) 0.7 
B) 1.2 
C) 0.8 
D) 0.5 
E) 1.3 
A) 0.7 
B) 1.2 
C) 0.8 
D) 0.5 
E) 1.3

Find the absolute value. $| 20 - 12 |$

Solve the quadratic equation. $n ^ { 2 } - 22 = 0$ Use the following property: For any real number a , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Perform the addition. Simplify the result when possible. $\frac { 4 } { 7 } + \frac { 4 } { 7 }$

Evaluate. $- 4 ^ { 2 } + 4 ^ { 2 }$

What number is the base in the expression $( - 15 ) ^ { 4 }$ ?

Simplify the fraction to lowest terms. $\frac { 56 } { 7 }$

Evaluate the expression. $5 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 8 \cdot 10 ^ { 1 } + 5$

Match the statement below with the corresponding property of real numbers. $8 + ( - 8 )$

Find the difference. $18 \frac { 3 } { 6 } - 11 \frac { 2 } { 30 }$

Simplify the numerical expression. $3 ^ { - 3 }$

Simplify the numerical expression. $\left( \frac { 3 ^ { - 1 } } { 5 ^ { - 2 } } \right) ^ { - 1 }$

Evaluate the expression. $3.5 + | 6.1 + ( - 3.4 ) |$

Multiply and simplify where possible. $\sqrt { 27 } \sqrt { 33 }$

Find the sum. $( - 0.2 ) + 0.9$

Equations, Inequalities, and Problem Solving

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Exam 1: Basic Concepts and Properties

Find the absolute value. ∣20−12∣| 20 - 12 |∣20−12∣

Solve the quadratic equation. n2−22=0n ^ { 2 } - 22 = 0n2−22=0 Use the following property: For any real number a , x2=ax ^ { 2 } = ax2=a if and only if x=ax = \sqrt { a }x=a​ or x=−ax = - \sqrt { a }x=−a​ .

Perform the addition. Simplify the result when possible. 47+47\frac { 4 } { 7 } + \frac { 4 } { 7 }74​+74​

Evaluate. −42+42- 4 ^ { 2 } + 4 ^ { 2 }−42+42

What number is the base in the expression (−15)4( - 15 ) ^ { 4 }(−15)4 ?

Simplify the fraction to lowest terms. 567\frac { 56 } { 7 }756​

Evaluate the expression. 5⋅103+5⋅102+8⋅101+55 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 8 \cdot 10 ^ { 1 } + 55⋅103+5⋅102+8⋅101+5

Match the statement below with the corresponding property of real numbers. 8+(−8)8 + ( - 8 )8+(−8)

Find the difference. 1836−1123018 \frac { 3 } { 6 } - 11 \frac { 2 } { 30 }1863​−11302​

Simplify the numerical expression. 3−33 ^ { - 3 }3−3

Simplify the numerical expression. (3−15−2)−1\left( \frac { 3 ^ { - 1 } } { 5 ^ { - 2 } } \right) ^ { - 1 }(5−23−1​)−1

Evaluate the expression. 3.5+∣6.1+(−3.4)∣3.5 + | 6.1 + ( - 3.4 ) |3.5+∣6.1+(−3.4)∣

Multiply and simplify where possible. 2733\sqrt { 27 } \sqrt { 33 }27​33​

Find the sum. (−0.2)+0.9( - 0.2 ) + 0.9(−0.2)+0.9

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

Find the absolute value. $| 20 - 12 |$

Solve the quadratic equation. $n ^ { 2 } - 22 = 0$ Use the following property: For any real number a , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Perform the addition. Simplify the result when possible. $\frac { 4 } { 7 } + \frac { 4 } { 7 }$

Evaluate. $- 4 ^ { 2 } + 4 ^ { 2 }$

What number is the base in the expression $( - 15 ) ^ { 4 }$ ?

Simplify the fraction to lowest terms. $\frac { 56 } { 7 }$

Evaluate the expression. $5 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 8 \cdot 10 ^ { 1 } + 5$

Match the statement below with the corresponding property of real numbers. $8 + ( - 8 )$

Find the difference. $18 \frac { 3 } { 6 } - 11 \frac { 2 } { 30 }$

Simplify the numerical expression. $3 ^ { - 3 }$

Simplify the numerical expression. $\left( \frac { 3 ^ { - 1 } } { 5 ^ { - 2 } } \right) ^ { - 1 }$

Evaluate the expression. $3.5 + | 6.1 + ( - 3.4 ) |$

Multiply and simplify where possible. $\sqrt { 27 } \sqrt { 33 }$

Find the sum. $( - 0.2 ) + 0.9$