Question 1

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)  $a \cdot ( b + c ) = a \cdot b + \frac { 1 } { b }$ B

Question 2

Evaluate the following expression for the given value of the variable. $\frac { y - 4 } { 5 }$  for $y = 14$

Accepted Answer

A)  $- 10$ 
B)  $6$ 
C)  $10$ 
D)  $2$ 
E)  $- 2$ 
A)  $- 10$ 
B)  $6$ 
C)  $10$ 
D)  $2$ 
E)  $- 2$ D

Question 3

Evaluate the following expression for the given value of the variable. $\frac { z - 10 } { 10 - z }$  for $z = 8$

Accepted Answer

A)  1 
B)  -2 
C)  $- 1$ 
D)  2 
E)  0 
A)  1 
B)  -2 
C)  $- 1$ 
D)  2 
E)  0 C

Question 4

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 5

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...

Question 6

Solve the equation. $8.5 = - 10 c + 6$

Accepted Answer

A)  $c = 4.75$ 
B)  $c = - 0.25$ 
C)  $c = - 0.25$ 
D)  $c = 0.75$ 
E)  none of these 
A)  $c = 4.75$ 
B)  $c = - 0.25$ 
C)  $c = - 0.25$ 
D)  $c = 0.75$ 
E)  none of these

Question 7

Identify the terms of the expression. $5 d ^ { 2 } - 7 d + 8 - d + 5$

Accepted Answer

The answer of Identify the terms of the expression. \(5...

Question 8

Use an equation to solve the problem.
The average price of homes in one neighborhood decreased 8 % since last year, a drop of $5,800 . What was the average price of a home last year?

Accepted Answer

A)  $69,500 
B)  $74,500 
C)  $73,500 
D)  $72,500 
E)  $76,500 
A)  $69,500 
B)  $74,500 
C)  $73,500 
D)  $72,500 
E)  $76,500

Question 9

In the expression $- 5 ^ { 11 }$ , what is the exponent?

Accepted Answer

The answer of In the expression \(- 5 ^ {...

Question 10

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 11

What is the variable part of the term $- 6 b x$  ?...

Accepted Answer

A)  $b$ 
B)  $- 6$ 
C)  $b x$ 
D)  $- 6 b x$ 
E)  $\chi$ 
A)  $b$ 
B)  $- 6$ 
C)  $b x$ 
D)  $- 6 b x$ 
E)  $\chi$

Question 12

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

Accepted Answer

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

Question 13

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 14

Solve the equation. $5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )$

Accepted Answer

A)  $t = - 51$ 
B)  $t = - 53$ 
C)  $t = - 49$ 
D)  $t = - 14$ 
E)  $t = - 48$ 
A)  $t = - 51$ 
B)  $t = - 53$ 
C)  $t = - 49$ 
D)  $t = - 14$ 
E)  $t = - 48$

Question 15

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 16

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 17

Use the distributive property to write the expression $x ( x + 8 )$ without parentheses. Simplify the result, if possible.

Accepted Answer

A)  $x ^ { 2 } + 8 x$ 
B)  $x + 8 x$ 
C)  $x + x + 8 x$ 
D)  $2 x + 8$ 
E)  $x ^ { 2 } + 8 x ^ { 2 } + 8 x$ 
A)  $x ^ { 2 } + 8 x$ 
B)  $x + 8 x$ 
C)  $x + x + 8 x$ 
D)  $2 x + 8$ 
E)  $x ^ { 2 } + 8 x ^ { 2 } + 8 x$

Question 18

Use a property of equality to solve the equation. Then check the result. $a - 4 = 67$ $a =$ __________

Accepted Answer

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

Question 19

Use the distributive property to write the expression $8 x ( d - x )$  without parentheses. Simplify the result, if possible.

Accepted Answer

A)  $8 d x - 8 d ^ { 2 }$ 
B)  $d x + d - 8 x ^ { 2 }$ 
C)  $8 x + d - x$ 
D)  $8 d x - 8 x ^ { 2 }$ 
E)  $d x - 8 x ^ { 2 }$ 
A)  $8 d x - 8 d ^ { 2 }$ 
B)  $d x + d - 8 x ^ { 2 }$ 
C)  $8 x + d - x$ 
D)  $8 d x - 8 x ^ { 2 }$ 
E)  $d x - 8 x ^ { 2 }$

Question 20

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)  $36 t ^ { 5 }$

Determine the correct statement.

Evaluate the following expression for the given value of the variable. $\frac { y - 4 } { 5 }$ for $y = 14$

Evaluate the following expression for the given value of the variable. $\frac { z - 10 } { 10 - z }$ for $z = 8$

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

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

Solve the equation. $8.5 = - 10 c + 6$

Identify the terms of the expression. $5 d ^ { 2 } - 7 d + 8 - d + 5$

Use an equation to solve the problem. The average price of homes in one neighborhood decreased 8 % since last year, a drop of $5,800 . What was the average price of a home last year?

In the expression $- 5 ^ { 11 }$ , what is the exponent?

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

What is the variable part of the term $- 6 b x$ ?...

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

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

Solve the equation. $5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )$

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

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

Use the distributive property to write the expression $x ( x + 8 )$ without parentheses. Simplify the result, if possible.

Use a property of equality to solve the equation. Then check the result. $a - 4 = 67$ $a =$ __________

Use the distributive property to write the expression $8 x ( d - x )$ without parentheses. Simplify the result, if possible.

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

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

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An Introduction to Geometry

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Exam 8: An Introduction to Algebra

Determine the correct statement.

Evaluate the following expression for the given value of the variable. y−45\frac { y - 4 } { 5 }5y−4​ for y=14y = 14y=14

Evaluate the following expression for the given value of the variable. z−1010−z\frac { z - 10 } { 10 - z }10−zz−10​ for z=8z = 8z=8

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

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)

Solve the equation. 8.5=−10c+68.5 = - 10 c + 68.5=−10c+6

Identify the terms of the expression. 5d2−7d+8−d+55 d ^ { 2 } - 7 d + 8 - d + 55d2−7d+8−d+5

Use an equation to solve the problem. The average price of homes in one neighborhood decreased 8 % since last year, a drop of $5,800 . What was the average price of a home last year?

In the expression −511- 5 ^ { 11 }−511 , what is the exponent?

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

What is the variable part of the term −6bx- 6 b x−6bx ?...

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

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

Solve the equation. 5(t−1)+3(t−3)=−2(t−1)+11(t+3)5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )5(t−1)+3(t−3)=−2(t−1)+11(t+3)

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

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

Use the distributive property to write the expression x(x+8)x ( x + 8 )x(x+8) without parentheses. Simplify the result, if possible.

Use a property of equality to solve the equation. Then check the result. a−4=67a - 4 = 67a−4=67 a=a =a= __________

Use the distributive property to write the expression 8x(d−x)8 x ( d - x )8x(d−x) without parentheses. Simplify the result, if possible.

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

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Geometry

Filters

Evaluate the following expression for the given value of the variable. $\frac { y - 4 } { 5 }$ for $y = 14$

Evaluate the following expression for the given value of the variable. $\frac { z - 10 } { 10 - z }$ for $z = 8$

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

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

Solve the equation. $8.5 = - 10 c + 6$

Identify the terms of the expression. $5 d ^ { 2 } - 7 d + 8 - d + 5$

In the expression $- 5 ^ { 11 }$ , what is the exponent?

What is the variable part of the term $- 6 b x$ ?...

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

Solve the equation. $5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )$

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

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

Use the distributive property to write the expression $x ( x + 8 )$ without parentheses. Simplify the result, if possible.

Use a property of equality to solve the equation. Then check the result. $a - 4 = 67$ $a =$ __________

Use the distributive property to write the expression $8 x ( d - x )$ without parentheses. Simplify the result, if possible.

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