Question 1

Tell whether the given number is a solution of the equation. $5 k + 7 = 7 k - 1$ ; $k = 5$

Accepted Answer

A)  unqualified solution 
B)  removed solution 
C)  solution 
D)  not a solution 
E)  none of these 
A)  unqualified solution 
B)  removed solution 
C)  solution 
D)  not a solution 
E)  none of these

Question 2

In the expression $3 x ^ { 2 } - 2 x - 4$ , what is the constant?

Accepted Answer

A)  $4$ 
B)  $3$ 
C)  $- 4$ 
D)  $- 2$ 
A)  $4$ 
B)  $3$ 
C)  $- 4$ 
D)  $- 2$

Question 3

Write the commutative property of multiplication using the variables a and b .

Accepted Answer

A)  $a + b = b + a$ 
B)  $( a + b ) + c = a + ( b + c )$ 
C)  $( a b ) c = a ( b c )$ 
D)  $a b = b a$ 
A)  $a + b = b + a$ 
B)  $( a + b ) + c = a + ( b + c )$ 
C)  $( a b ) c = a ( b c )$ 
D)  $a b = b a$

Question 4

Use the division or the multiplication property of equality to solve $1,145 = \frac { y } { 224 }$ . What is the result? $y =$ __________

Accepted Answer

The answer of Use the division or the multiplication property...

Question 5

Find the product. $\left( 7 y ^ { 6 } x ^ { 6 } \right) \left( 2 y ^ { 2 } x ^ { 4 } \right)$

Accepted Answer

A)  $16 y ^ { 9 } x ^ { 11 }$ 
B)  $14 y ^ { 8 } x ^ { 10 }$ 
C)  $14 y ^ { 4 } x ^ { 2 }$ 
D)  $14 y ^ { 12 } x ^ { 24 }$ 
E)  $9 y ^ { 8 } x ^ { 10 }$ 
A)  $16 y ^ { 9 } x ^ { 11 }$ 
B)  $14 y ^ { 8 } x ^ { 10 }$ 
C)  $14 y ^ { 4 } x ^ { 2 }$ 
D)  $14 y ^ { 12 } x ^ { 24 }$ 
E)  $9 y ^ { 8 } x ^ { 10 }$

Question 6

Solve the equation. $3 z + 4 = 13$

Accepted Answer

A)  $z = 11$ 
B)  $z = 3$ 
C)  $z = 1$ 
D)  $z = 5$ 
E)  none of these 
A)  $z = 11$ 
B)  $z = 3$ 
C)  $z = 1$ 
D)  $z = 5$ 
E)  none of these

Question 7

Solve the equation. $5 ( x + 1 ) = 15$

Accepted Answer

A)  $x = 1$ 
B)  $x = 13$ 
C)  $x = 10$ 
D)  $x = 2$ 
E)  $x = 7$ 
A)  $x = 1$ 
B)  $x = 13$ 
C)  $x = 10$ 
D)  $x = 2$ 
E)  $x = 7$

Question 8

Evaluate the expression. $6 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 8$

Accepted Answer

A)  6,648 
B)  6,548 
C)  6,553 
D)  6,537 
E)  6,546 
A)  6,648 
B)  6,548 
C)  6,553 
D)  6,537 
E)  6,546

Question 9

Simplify the expression. $\left( 6 t ^ { 3 } \right) ^ { 2 }$

Accepted Answer

A)  $6 t ^ { 6 }$ 
B)  $6 t ^ { 3 }$ 
C)  $36 t ^ { 7 }$ 
D)  $36 t ^ { 6 }$ 
E)  $36 t ^ { 5 }$ 
A)  $6 t ^ { 6 }$ 
B)  $6 t ^ { 3 }$ 
C)  $36 t ^ { 7 }$ 
D)  $36 t ^ { 6 }$ 
E)  $36 t ^ { 5 }$

Question 10

Use an equation to solve the problem.
One-third of the movie audience left the theater in disgust. If 65 angry patrons walked out, how many were there originally?

Accepted Answer

A)  195 
B)  207 
C)  222 
D)  230 
E)  154 
A)  195 
B)  207 
C)  222 
D)  230 
E)  154

Question 11

Use a property of equality to solve the equation. Then check the result. $f + 3.3 = 1.2$ $f =$ __________

Accepted Answer

The answer of Use a property of equality to solve...

Question 12

Use the division or the multiplication property of equality to solve $4 b = 184$ . What is the result? $b =$ __________

Accepted Answer

The answer of Use the division or the multiplication property...

Question 13

What is $t ^ { 3 } \cdot t ^ { 3 }$  rewritten using only one exponent?

Accepted Answer

A)  $t ^ { 0 }$ 
B)  $t ^ { 6 }$ 
C)  $t ^ { 3 }$ 
D)  $t ^ { 9 }$ 
E)  none of these 
A)  $t ^ { 0 }$ 
B)  $t ^ { 6 }$ 
C)  $t ^ { 3 }$ 
D)  $t ^ { 9 }$ 
E)  none of these

Question 14

In the expression $- 9 ^ { 2 }$ , what is the base?

Accepted Answer

The answer of In the expression \(- 9 ^ {...

Question 15

Use the division or the multiplication property of equality to solve $2 a = 24$ . What is the result?

Accepted Answer

A)  11 
B)  12 
C)  48 
D)  49 
E)  47 
A)  11 
B)  12 
C)  48 
D)  49 
E)  47

Question 16

Solve the equation. $3 x - 5 + 6 x - 8 x + 3 = 8$

Accepted Answer

A)  $x = 19$ 
B)  $x = - 10$ 
C)  $x = 6$ 
D)  $x = 10$ 
E)  $x = 14$ 
A)  $x = 19$ 
B)  $x = - 10$ 
C)  $x = 6$ 
D)  $x = 10$ 
E)  $x = 14$

Question 17

Use an equation to solve the problem.
Sales tax on a $9 compact disc is $0.36. At what rate is sales tax computed?

Accepted Answer

A)  8% 
B)  4% 
C)  6% 
D)  9% 
E)  7% 
A)  8% 
B)  4% 
C)  6% 
D)  9% 
E)  7%

Question 18

Determine the correct statement.

Accepted Answer

A)  $a \cdot ( b + c ) = a \cdot b + c$ 
B)  $a \cdot ( b + c ) = a \cdot b + a \cdot c$ 
C)  $a \cdot ( b + c ) = a \cdot b + a$ 
D)  $a \cdot ( b + c ) = a \cdot b + c \cdot b$ 
E)  $a \cdot ( b + c ) = a \cdot b + \frac { 1 } { b }$ 
A)  $a \cdot ( b + c ) = a \cdot b + c$ 
B)  $a \cdot ( b + c ) = a \cdot b + a \cdot c$ 
C)  $a \cdot ( b + c ) = a \cdot b + a$ 
D)  $a \cdot ( b + c ) = a \cdot b + c \cdot b$ 
E)  $a \cdot ( b + c ) = a \cdot b + \frac { 1 } { b }$

Question 19

What is the numerical coefficient of the term $- 7 m$ ?

Accepted Answer

The answer of What is the numerical coefficient of the...

Question 20

Simplify the following expression by combining like terms. $10 ( 10 a + 8 ) - 9 ( 2 a + 2 )$

Accepted Answer

The answer of Simplify the following expression by combining like...

Tell whether the given number is a solution of the equation. $5 k + 7 = 7 k - 1$ ; $k = 5$

In the expression $3 x ^ { 2 } - 2 x - 4$ , what is the constant?

Write the commutative property of multiplication using the variables a and b .

Use the division or the multiplication property of equality to solve $1,145 = \frac { y } { 224 }$ . What is the result? $y =$ __________

Find the product. $\left( 7 y ^ { 6 } x ^ { 6 } \right) \left( 2 y ^ { 2 } x ^ { 4 } \right)$

Solve the equation. $3 z + 4 = 13$

Solve the equation. $5 ( x + 1 ) = 15$

Evaluate the expression. $6 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 8$

Simplify the expression. $\left( 6 t ^ { 3 } \right) ^ { 2 }$

Use an equation to solve the problem. One-third of the movie audience left the theater in disgust. If 65 angry patrons walked out, how many were there originally?

Use a property of equality to solve the equation. Then check the result. $f + 3.3 = 1.2$ $f =$ __________

Use the division or the multiplication property of equality to solve $4 b = 184$ . What is the result? $b =$ __________

What is $t ^ { 3 } \cdot t ^ { 3 }$ rewritten using only one exponent?

In the expression $- 9 ^ { 2 }$ , what is the base?

Use the division or the multiplication property of equality to solve $2 a = 24$ . What is the result?

Solve the equation. $3 x - 5 + 6 x - 8 x + 3 = 8$

Use an equation to solve the problem. Sales tax on a $9 compact disc is $0.36. At what rate is sales tax computed?

Determine the correct statement.

What is the numerical coefficient of the term $- 7 m$ ?

Simplify the following expression by combining like terms. $10 ( 10 a + 8 ) - 9 ( 2 a + 2 )$

Whole Numbers

The Integers

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Ratio, Proportion, and Measurement

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An Introduction to Geometry

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Exam 8: An Introduction to Algebra

Tell whether the given number is a solution of the equation. 5k+7=7k−15 k + 7 = 7 k - 15k+7=7k−1 ; k=5k = 5k=5

In the expression 3x2−2x−43 x ^ { 2 } - 2 x - 43x2−2x−4 , what is the constant?

Write the commutative property of multiplication using the variables a and b .

Use the division or the multiplication property of equality to solve 1,145=y2241,145 = \frac { y } { 224 }1,145=224y​ . What is the result? y=y =y= __________

Find the product. (7y6x6)(2y2x4)\left( 7 y ^ { 6 } x ^ { 6 } \right) \left( 2 y ^ { 2 } x ^ { 4 } \right)(7y6x6)(2y2x4)

Solve the equation. 3z+4=133 z + 4 = 133z+4=13

Solve the equation. 5(x+1)=155 ( x + 1 ) = 155(x+1)=15

Evaluate the expression. 6⋅103+5⋅102+4⋅101+86 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 86⋅103+5⋅102+4⋅101+8

Simplify the expression. (6t3)2\left( 6 t ^ { 3 } \right) ^ { 2 }(6t3)2

Use an equation to solve the problem. One-third of the movie audience left the theater in disgust. If 65 angry patrons walked out, how many were there originally?

Use a property of equality to solve the equation. Then check the result. f+3.3=1.2f + 3.3 = 1.2f+3.3=1.2 f=f =f= __________

Use the division or the multiplication property of equality to solve 4b=1844 b = 1844b=184 . What is the result? b=b =b= __________

What is t3⋅t3t ^ { 3 } \cdot t ^ { 3 }t3⋅t3 rewritten using only one exponent?

In the expression −92- 9 ^ { 2 }−92 , what is the base?

Use the division or the multiplication property of equality to solve 2a=242 a = 242a=24 . What is the result?

Solve the equation. 3x−5+6x−8x+3=83 x - 5 + 6 x - 8 x + 3 = 83x−5+6x−8x+3=8

Use an equation to solve the problem. Sales tax on a $9 compact disc is $0.36. At what rate is sales tax computed?

Determine the correct statement.

What is the numerical coefficient of the term −7m- 7 m−7m ?

Simplify the following expression by combining like terms. 10(10a+8)−9(2a+2)10 ( 10 a + 8 ) - 9 ( 2 a + 2 )10(10a+8)−9(2a+2)

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Geometry

Filters

Tell whether the given number is a solution of the equation. $5 k + 7 = 7 k - 1$ ; $k = 5$

In the expression $3 x ^ { 2 } - 2 x - 4$ , what is the constant?

Use the division or the multiplication property of equality to solve $1,145 = \frac { y } { 224 }$ . What is the result? $y =$ __________

Find the product. $\left( 7 y ^ { 6 } x ^ { 6 } \right) \left( 2 y ^ { 2 } x ^ { 4 } \right)$

Solve the equation. $3 z + 4 = 13$

Solve the equation. $5 ( x + 1 ) = 15$

Evaluate the expression. $6 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 8$

Simplify the expression. $\left( 6 t ^ { 3 } \right) ^ { 2 }$

Use a property of equality to solve the equation. Then check the result. $f + 3.3 = 1.2$ $f =$ __________

Use the division or the multiplication property of equality to solve $4 b = 184$ . What is the result? $b =$ __________

What is $t ^ { 3 } \cdot t ^ { 3 }$ rewritten using only one exponent?

In the expression $- 9 ^ { 2 }$ , what is the base?

Use the division or the multiplication property of equality to solve $2 a = 24$ . What is the result?

Solve the equation. $3 x - 5 + 6 x - 8 x + 3 = 8$

What is the numerical coefficient of the term $- 7 m$ ?

Simplify the following expression by combining like terms. $10 ( 10 a + 8 ) - 9 ( 2 a + 2 )$