Question 1

Match between columns
                        Premises: integer

Accepted Answer

The Answer of {..., -3, -2, -1, 0, 1, 2, is...

Question 2

Find the sum. $$\sqrt { 27 } + \sqrt { 75 }$$

Accepted Answer

A)  $5 \sqrt { 4 }$ 
B)  $7 \sqrt { 3 }$ 
C)  $3 \sqrt { 7 }$ 
D)  $8 \sqrt { 3 }$ 
E)  $3 \sqrt { 8 }$ 
A)  $5 \sqrt { 4 }$ 
B)  $7 \sqrt { 3 }$ 
C)  $3 \sqrt { 7 }$ 
D)  $8 \sqrt { 3 }$ 
E)  $3 \sqrt { 8 }$

Question 3

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

Accepted Answer

A)  $- \frac { 1 } { 5 }$ 
B) 5 
C) 36 
D)  $- \frac { 1 } { 25 }$ 
E) -25 
A)  $- \frac { 1 } { 5 }$ 
B) 5 
C) 36 
D)  $- \frac { 1 } { 25 }$ 
E) -25

Question 4

Find the sum. $$6 \frac { 1 } { 11 } + 9 \frac { 2 } { 5 }$$

Accepted Answer

A)  $3 \frac { 2 } { 5 }$ 
B)  $53 \frac { 38 } { 55 }$ 
C)  $15 \frac { 2 } { 5 }$ 
D)  $3 \frac { 27 } { 55 }$ 
E)  $15 \frac { 27 } { 55 }$ 
A)  $3 \frac { 2 } { 5 }$ 
B)  $53 \frac { 38 } { 55 }$ 
C)  $15 \frac { 2 } { 5 }$ 
D)  $3 \frac { 27 } { 55 }$ 
E)  $15 \frac { 27 } { 55 }$

Question 5

Simplify the numerical expression. $$10 ^ { 4 } \cdot 10 ^ { - 5 }$$

Accepted Answer

A) 1,000 
B)  $\frac { 1 } { 100 }$ 
C)  $\frac { 1 } { 1,000 }$ 
D)  $\frac { 1 } { 10 }$ 
E) 10 
A) 1,000 
B)  $\frac { 1 } { 100 }$ 
C)  $\frac { 1 } { 1,000 }$ 
D)  $\frac { 1 } { 10 }$ 
E) 10

Question 6

Simplify the expression. $\frac{6^{\frac{8}{3}}}{6^{\frac{2}{3}}}$

Accepted Answer

A)  $216$ 
B)  $1$ 
C)  $6$ 
D)  $\frac { 1 } { 6 }$ 
E)  $36$ 
A)  $216$ 
B)  $1$ 
C)  $6$ 
D)  $\frac { 1 } { 6 }$ 
E)  $36$

Question 7

List the elements in the set that are composite numbers. $$\left\{ - 5,0 , \frac { 2 } { 3 } , 1 , \sqrt { 2 } , 2,9 \right\}$$

Accepted Answer

A)  $0,1,2,9$ 
B)  $9$ 
C)  $2$ 
D)  $1,9$ 
E)  $1,2,9$ 
A)  $0,1,2,9$ 
B)  $9$ 
C)  $2$ 
D)  $1,9$ 
E)  $1,2,9$

Question 8

Multiply. $$- 9.4 \cdot 5.9 \cdot ( - 3.1 )$$

Accepted Answer

A) 171.926 
B) 166.606 
C) -17.1926 
D) -171.926 
E) 17.1926 
A) 171.926 
B) 166.606 
C) -17.1926 
D) -171.926 
E) 17.1926

Question 9

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

Accepted Answer

A)  $36$ 
B)  $6$ 
C)  $11$ 
D)  $18$ 
E)  $12$ 
A)  $36$ 
B)  $6$ 
C)  $11$ 
D)  $18$ 
E)  $12$

Question 10

If x is any nonzero real number, then $x ^ { - 5 } = \frac { 1 } { x ^ { 5 } }$ .

Accepted Answer

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

Question 11

Find the sum. $\frac { 16 } { 13 } + 5$

Accepted Answer

A)  $6 \frac { 3 } { 13 }$ 
B)  $5 \frac { 3 } { 13 }$ 
C)  $5 \frac { 4 } { 13 }$ 
D)  $6 \frac { 4 } { 13 }$ 
E)  $65 \frac { 3 } { 13 }$ 
A)  $6 \frac { 3 } { 13 }$ 
B)  $5 \frac { 3 } { 13 }$ 
C)  $5 \frac { 4 } { 13 }$ 
D)  $6 \frac { 4 } { 13 }$ 
E)  $65 \frac { 3 } { 13 }$

Question 12

List the numbers in the set that are natural numbers. $$\left\{ - 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2 , \sqrt { 6 } , 3.75,6,8 \right\}$$

Accepted Answer

A)  $1,2,6,8$ 
B)  $- 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2,3.75,6,8$ 
C)  $- 5 , - 1 , - \frac { 4 } { 5 } , 0,1,2,3.75,6,8$ 
D)  $- 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2 , \sqrt { 6 } , 3.75,6,8$ 
E)  $- 5 , - 1,0,1,2,3.75,6,8$ 
A)  $1,2,6,8$ 
B)  $- 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2,3.75,6,8$ 
C)  $- 5 , - 1 , - \frac { 4 } { 5 } , 0,1,2,3.75,6,8$ 
D)  $- 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2 , \sqrt { 6 } , 3.75,6,8$ 
E)  $- 5 , - 1,0,1,2,3.75,6,8$

Question 13

Subtract. $$44.5$$
$24.1$

Accepted Answer

A) 20.2 
B) 21.4 
C) 20.4 
D) 20.5 
E) 19.4 
A) 20.2 
B) 21.4 
C) 20.4 
D) 20.5 
E) 19.4

Question 14

Solve the quadratic equation. $2 ( x + 8 ) ^ { 2 } - 5 = 3$ Use the following property: For any real number $D$ , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Accepted Answer

A) x = -10 or x = -9 
B) x = 0 
C) x = -6 or x = -10 
D) x = 1 or x = -3 
E) x = -1 or x = -13 
A) x = -10 or x = -9 
B) x = 0 
C) x = -6 or x = -10 
D) x = 1 or x = -3 
E) x = -1 or x = -13

Question 15

Simplify the expression. $$\left( \frac { 125 } { 216 } \right) ^ { \frac { 4 } { 3 } }$$

Accepted Answer

A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 3,125 } { 7,776 }$ 
C)  $\frac { 625 } { 1,296 }$ 
D)  $\frac { 1,296 } { 625 }$ 
E)  $\frac { 627 } { 1,298 }$ 
A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 3,125 } { 7,776 }$ 
C)  $\frac { 625 } { 1,296 }$ 
D)  $\frac { 1,296 } { 625 }$ 
E)  $\frac { 627 } { 1,298 }$

Question 16

Evaluate. $- 6 ^ { 2 } + 6 ^ { 2 }$

Accepted Answer

The answer of Evaluate. \(- 6 ^ { 2 }...

Question 17

Graph the set on the number line. $$[ - 3 , \infty )$$

Accepted Answer

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

Question 18

Simplify the expression. $$\left( - 3 z ^ { 2 } - 4 z + 7 \right) + \left( 2 z ^ { 2 } + 2 z - 1 \right) - \left( 4 z ^ { 2 } - 20 z + 9 \right)$$

Accepted Answer

A)  $- 5 z ^ { 2 } + 18 z - 3$ 
B)  $9 z ^ { 2 } + 26 z - 3$ 
C)  $- 5 z ^ { 2 } + 18 z - 17$ 
D)  $- 5 z ^ { 2 } + 26 z - 17$ 
E) none of these 
A)  $- 5 z ^ { 2 } + 18 z - 3$ 
B)  $9 z ^ { 2 } + 26 z - 3$ 
C)  $- 5 z ^ { 2 } + 18 z - 17$ 
D)  $- 5 z ^ { 2 } + 26 z - 17$ 
E) none of these

Question 19

Find the value of the expression $\left( \frac { 1 } { 2 } \right) ^ { 7 }$ .

Accepted Answer

A)  $\frac { 1 } { 128 }$ 
B)  $\frac { 1 } { 64 }$ 
C)  $\frac { 1 } { 512 }$ 
D)  $\frac { 1 } { 256 }$ 
E)  $\frac { 1 } { 1,024 }$ 
A)  $\frac { 1 } { 128 }$ 
B)  $\frac { 1 } { 64 }$ 
C)  $\frac { 1 } { 512 }$ 
D)  $\frac { 1 } { 256 }$ 
E)  $\frac { 1 } { 1,024 }$

Question 20

Simplify the fraction to lowest terms. $\frac { 4 } { 7 }$

Accepted Answer

A)  $0.4$ 
B)  $\frac { 2 } { 7 }$ 
C)  $\frac { 2 } { 4 }$ 
D)  $\frac { 7 } { 4 }$ 
E) Does not simplify further. 
A)  $0.4$ 
B)  $\frac { 2 } { 7 }$ 
C)  $\frac { 2 } { 4 }$ 
D)  $\frac { 7 } { 4 }$ 
E) Does not simplify further.

Find the sum. $\sqrt { 27 } + \sqrt { 75 }$

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

Find the sum. $6 \frac { 1 } { 11 } + 9 \frac { 2 } { 5 }$

Simplify the numerical expression. $10 ^ { 4 } \cdot 10 ^ { - 5 }$

Simplify the expression. $\frac{6^{\frac{8}{3}}}{6^{\frac{2}{3}}}$

List the elements in the set that are composite numbers. $\left\{ - 5,0 , \frac { 2 } { 3 } , 1 , \sqrt { 2 } , 2,9 \right\}$

Multiply. $- 9.4 \cdot 5.9 \cdot ( - 3.1 )$

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

If x is any nonzero real number, then $x ^ { - 5 } = \frac { 1 } { x ^ { 5 } }$ .

Find the sum. $\frac { 16 } { 13 } + 5$

List the numbers in the set that are natural numbers. $\left\{ - 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2 , \sqrt { 6 } , 3.75,6,8 \right\}$

Subtract. $44.5$ $24.1$

Solve the quadratic equation. $2 ( x + 8 ) ^ { 2 } - 5 = 3$ Use the following property: For any real number $D$ , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Simplify the expression. $\left( \frac { 125 } { 216 } \right) ^ { \frac { 4 } { 3 } }$

Evaluate. $- 6 ^ { 2 } + 6 ^ { 2 }$

Graph the set on the number line. $[ - 3 , \infty )$

Simplify the expression. $\left( - 3 z ^ { 2 } - 4 z + 7 \right) + \left( 2 z ^ { 2 } + 2 z - 1 \right) - \left( 4 z ^ { 2 } - 20 z + 9 \right)$

Find the value of the expression $\left( \frac { 1 } { 2 } \right) ^ { 7 }$ .

Simplify the fraction to lowest terms. $\frac { 4 } { 7 }$

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

Exam 1: Basic Concepts and Properties

Find the sum. 27+75\sqrt { 27 } + \sqrt { 75 }27​+75​

Simplify the numerical expression. −(15)−2- \left( \frac { 1 } { 5 } \right) ^ { - 2 }−(51​)−2

Find the sum. 6111+9256 \frac { 1 } { 11 } + 9 \frac { 2 } { 5 }6111​+952​

Simplify the numerical expression. 104⋅10−510 ^ { 4 } \cdot 10 ^ { - 5 }104⋅10−5

Simplify the expression. 683623\frac{6^{\frac{8}{3}}}{6^{\frac{2}{3}}}632​638​​

List the elements in the set that are composite numbers. {−5,0,23,1,2,2,9}\left\{ - 5,0 , \frac { 2 } { 3 } , 1 , \sqrt { 2 } , 2,9 \right\}{−5,0,32​,1,2​,2,9}

Multiply. −9.4⋅5.9⋅(−3.1)- 9.4 \cdot 5.9 \cdot ( - 3.1 )−9.4⋅5.9⋅(−3.1)

Simplify the expression. (213323)3\left( 2 \frac { 1 } { 3 } 3 ^ { \frac { 2 } { 3 } } \right) ^ { 3 }(231​332​)3

If x is any nonzero real number, then x−5=1x5x ^ { - 5 } = \frac { 1 } { x ^ { 5 } }x−5=x51​ .

Find the sum. 1613+5\frac { 16 } { 13 } + 51316​+5

List the numbers in the set that are natural numbers. {−5,−1,−45,0,1,1312,2,6,3.75,6,8}\left\{ - 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2 , \sqrt { 6 } , 3.75,6,8 \right\}{−5,−1,−54​,0,1,1213​,2,6​,3.75,6,8}

Subtract. 44.544.544.5 24.124.124.1

Solve the quadratic equation. 2(x+8)2−5=32 ( x + 8 ) ^ { 2 } - 5 = 32(x+8)2−5=3 Use the following property: For any real number DDD , x2=ax ^ { 2 } = ax2=a if and only if x=ax = \sqrt { a }x=a​ or x=−ax = - \sqrt { a }x=−a​ .

Simplify the expression. (125216)43\left( \frac { 125 } { 216 } \right) ^ { \frac { 4 } { 3 } }(216125​)34​

Evaluate. −62+62- 6 ^ { 2 } + 6 ^ { 2 }−62+62

Graph the set on the number line. [−3,∞)[ - 3 , \infty )[−3,∞)

Simplify the expression. (−3z2−4z+7)+(2z2+2z−1)−(4z2−20z+9)\left( - 3 z ^ { 2 } - 4 z + 7 \right) + \left( 2 z ^ { 2 } + 2 z - 1 \right) - \left( 4 z ^ { 2 } - 20 z + 9 \right)(−3z2−4z+7)+(2z2+2z−1)−(4z2−20z+9)

Find the value of the expression (12)7\left( \frac { 1 } { 2 } \right) ^ { 7 }(21​)7 .

Simplify the fraction to lowest terms. 47\frac { 4 } { 7 }74​

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 sum. $\sqrt { 27 } + \sqrt { 75 }$

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

Find the sum. $6 \frac { 1 } { 11 } + 9 \frac { 2 } { 5 }$

Simplify the numerical expression. $10 ^ { 4 } \cdot 10 ^ { - 5 }$

Simplify the expression. $\frac{6^{\frac{8}{3}}}{6^{\frac{2}{3}}}$

List the elements in the set that are composite numbers. $\left\{ - 5,0 , \frac { 2 } { 3 } , 1 , \sqrt { 2 } , 2,9 \right\}$

Multiply. $- 9.4 \cdot 5.9 \cdot ( - 3.1 )$

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

If x is any nonzero real number, then $x ^ { - 5 } = \frac { 1 } { x ^ { 5 } }$ .

Find the sum. $\frac { 16 } { 13 } + 5$

List the numbers in the set that are natural numbers. $\left\{ - 5 , - 1 , - \frac { 4 } { 5 } , 0,1 , \frac { 13 } { 12 } , 2 , \sqrt { 6 } , 3.75,6,8 \right\}$

Subtract. $44.5$ $24.1$

Solve the quadratic equation. $2 ( x + 8 ) ^ { 2 } - 5 = 3$ Use the following property: For any real number $D$ , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Simplify the expression. $\left( \frac { 125 } { 216 } \right) ^ { \frac { 4 } { 3 } }$

Evaluate. $- 6 ^ { 2 } + 6 ^ { 2 }$

Graph the set on the number line. $[ - 3 , \infty )$

Simplify the expression. $\left( - 3 z ^ { 2 } - 4 z + 7 \right) + \left( 2 z ^ { 2 } + 2 z - 1 \right) - \left( 4 z ^ { 2 } - 20 z + 9 \right)$

Find the value of the expression $\left( \frac { 1 } { 2 } \right) ^ { 7 }$ .

Simplify the fraction to lowest terms. $\frac { 4 } { 7 }$