Question 1

Write the following statement as a mathematical expression.
Three is less than twenty-three.

Accepted Answer

A)  $3 \geq 23$ 
B)  $3 = 23$ 
C)  $3 \leq 23$ 
D)  $3  23$ 
A)  $3 \geq 23$ 
B)  $3 = 23$ 
C)  $3 \leq 23$ 
D)  $3  23$

Question 2

Write the addition property of zero using the variable m .

Accepted Answer

A)  $m + 0 = m$ 
B)  $m + 0 = 0$ 
C)  $m \cdot 0 = 0$ 
D)  Non of these 
A)  $m + 0 = m$ 
B)  $m + 0 = 0$ 
C)  $m \cdot 0 = 0$ 
D)  Non of these

Question 3

Simplify the expression.  $\left( 3 s ^ { 3 } \right) ^ { 3 }$

Accepted Answer

A)  $27 s ^ { 6 }$ 
B)  $27 s ^ { 9 }$ 
C)  $3 s ^ { 9 }$ 
D)  $27 s ^ { 3 }$ 
E)  $3 s ^ { 3 }$ 
A)  $27 s ^ { 6 }$ 
B)  $27 s ^ { 9 }$ 
C)  $3 s ^ { 9 }$ 
D)  $27 s ^ { 3 }$ 
E)  $3 s ^ { 3 }$

Question 4

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

Accepted Answer

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

Question 5

Simplify the expression by combining like terms. 
12 a + (-12 a )

Accepted Answer

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

Question 6

Find the product. $\left( 6 b ^ { 5 } \right) \left( 5 b ^ { 6 } \right)$

Accepted Answer

A)  $30 b ^ { 11 }$ 
B)  $30 b ^ { 30 }$ 
C)  $11 b ^ { 11 }$ 
D)  $11 b ^ { 30 }$ 
E)  none of these 
A)  $30 b ^ { 11 }$ 
B)  $30 b ^ { 30 }$ 
C)  $11 b ^ { 11 }$ 
D)  $11 b ^ { 30 }$ 
E)  none of these

Question 7

Use a property of equality to solve the equation. Then check the result. $4 = m - 20$ $m =$ __________

Accepted Answer

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

Question 8

Simplify and complete the expression. 
5( y - 7) + 8 y = 5 y +      - 35 =      - 35

Accepted Answer

The answer of Simplify and complete the expression. 
5( y...

Question 9

For a 49-mile trip, Stacy paid the taxi driver $23.00. If $2 was a tip, how much was the fare? 
$__________

Accepted Answer

The answer of For a 49-mile trip, Stacy paid the...

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

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 12

Identify the like terms from the list below and add them. $- 16 x , - 6,14 b , - 20 x$

Accepted Answer

The answer of Identify the like terms from the list...

Question 13

Let $y = 5$ and $z = 1$ . Write the phrase as an algebraic expression, and evaluate it. $y$   minus $Z$

Accepted Answer

A)  $y - z$ ; $5$ 
B)  $y - z$ ; $4$ 
C)  $y + z$ ; $5$ 
D)  $y + z$ ; $4$ 
E)  $y - z$ ; $- 4$ 
A)  $y - z$ ; $5$ 
B)  $y - z$ ; $4$ 
C)  $y + z$ ; $5$ 
D)  $y + z$ ; $4$ 
E)  $y - z$ ; $- 4$

Question 14

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 15

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( a ^ { - 1 } v ^ { - 2 } \right) ^ { 7 }$

Accepted Answer

A)  $a ^ { 8 } v ^ { 9 }$ 
B)  $\frac { 1 } { a ^ { 8 } v ^ { 9 } }$ 
C)  $\frac { 1 } { a ^ { 6 } v ^ { 5 } }$ 
D)  $a ^ { 7 } v ^ { 14 }$ 
E)  $\frac { 1 } { a ^ { 7 } v ^ { 14 } }$ 
A)  $a ^ { 8 } v ^ { 9 }$ 
B)  $\frac { 1 } { a ^ { 8 } v ^ { 9 } }$ 
C)  $\frac { 1 } { a ^ { 6 } v ^ { 5 } }$ 
D)  $a ^ { 7 } v ^ { 14 }$ 
E)  $\frac { 1 } { a ^ { 7 } v ^ { 14 } }$

Question 16

Simplify the product. $- 3 x ^ { 2 } c ^ { 5 } \left( - 2 c ^ { 2 } x ^ { 5 } \right)$

Accepted Answer

A)  $6 x ^ { 7 } c ^ { 7 }$ 
B)  $- 6 x ^ { 5 } c ^ { 7 }$ 
C)  $2 x ^ { 7 } c ^ { 7 }$ 
D)  $3 x ^ { 7 } c ^ { 2 }$ 
E)  none of these 
A)  $6 x ^ { 7 } c ^ { 7 }$ 
B)  $- 6 x ^ { 5 } c ^ { 7 }$ 
C)  $2 x ^ { 7 } c ^ { 7 }$ 
D)  $3 x ^ { 7 } c ^ { 2 }$ 
E)  none of these

Question 17

Which of the following formulas illustrates the associative property of multiplication?

Accepted Answer

A)  $( a \cdot b ) \cdot c = a \cdot ( b \cdot c )$ 
B)  $a ( b + c ) = a b + b c$ 
C)  $a + b = b + a$ 
D)  None of these 
A)  $( a \cdot b ) \cdot c = a \cdot ( b \cdot c )$ 
B)  $a ( b + c ) = a b + b c$ 
C)  $a + b = b + a$ 
D)  None of these

Question 18

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 19

The width of a rectangle is 17 inches less than $\frac { 1 } { 2 }$  of its length. If the perimeter of the rectangle 98 inches, find the area of the rectangle. ( Hint: Find the width and the length first. )

Accepted Answer

A)  $550 \mathrm { in } ^ { 2 }$ 
B)  $5 \mathrm { in } ^ { 2 }$ 
C)  $44 \mathrm { in } ^ { 2 }$ 
D)  $220 \mathrm { in } ^ { 2 }$ 
E)  $110 \mathrm { in } ^ { 2 }$ 
A)  $550 \mathrm { in } ^ { 2 }$ 
B)  $5 \mathrm { in } ^ { 2 }$ 
C)  $44 \mathrm { in } ^ { 2 }$ 
D)  $220 \mathrm { in } ^ { 2 }$ 
E)  $110 \mathrm { in } ^ { 2 }$

Question 20

Simplify the expression.  $\left( 3 x ^ { 5 } c ^ { 4 } \right) ^ { 3 }$

Accepted Answer

A)  $27 x ^ { 15 } c ^ { 12 }$ 
B)  $3 x ^ { 8 } c ^ { 7 }$ 
C)  $27 x ^ { 5 } c ^ { 4 }$ 
D)  $27 x ^ { 8 } c ^ { 7 }$ 
E)  $3 x ^ { 15 } c ^ { 12 }$ 
A)  $27 x ^ { 15 } c ^ { 12 }$ 
B)  $3 x ^ { 8 } c ^ { 7 }$ 
C)  $27 x ^ { 5 } c ^ { 4 }$ 
D)  $27 x ^ { 8 } c ^ { 7 }$ 
E)  $3 x ^ { 15 } c ^ { 12 }$

Write the following statement as a mathematical expression. Three is less than twenty-three.

Write the addition property of zero using the variable m .

Simplify the expression. $\left( 3 s ^ { 3 } \right) ^ { 3 }$

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

Simplify the expression by combining like terms. 12 a + (-12 a )

Find the product. $\left( 6 b ^ { 5 } \right) \left( 5 b ^ { 6 } \right)$

Use a property of equality to solve the equation. Then check the result. $4 = m - 20$ $m =$ __________

Simplify and complete the expression. 5( y - 7) + 8 y = 5 y + - 35 = - 35

For a 49-mile trip, Stacy paid the taxi driver $23.00. If $2 was a tip, how much was the fare? $__________

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?

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

Identify the like terms from the list below and add them. $- 16 x , - 6,14 b , - 20 x$

Let $y = 5$ and $z = 1$ . Write the phrase as an algebraic expression, and evaluate it. $y$ minus $Z$

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

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( a ^ { - 1 } v ^ { - 2 } \right) ^ { 7 }$

Simplify the product. $- 3 x ^ { 2 } c ^ { 5 } \left( - 2 c ^ { 2 } x ^ { 5 } \right)$

Which of the following formulas illustrates the associative property of multiplication?

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

The width of a rectangle is 17 inches less than $\frac { 1 } { 2 }$ of its length. If the perimeter of the rectangle 98 inches, find the area of the rectangle. ( Hint: Find the width and the length first. )

Simplify the expression. $\left( 3 x ^ { 5 } c ^ { 4 } \right) ^ { 3 }$

Whole Numbers

The Integers

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An Introduction to Geometry

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Exam 8: An Introduction to Algebra

Write the following statement as a mathematical expression. Three is less than twenty-three.

Write the addition property of zero using the variable m .

Simplify the expression. (3s3)3\left( 3 s ^ { 3 } \right) ^ { 3 }(3s3)3

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

Simplify the expression by combining like terms. 12 a + (-12 a )

Find the product. (6b5)(5b6)\left( 6 b ^ { 5 } \right) \left( 5 b ^ { 6 } \right)(6b5)(5b6)

Use a property of equality to solve the equation. Then check the result. 4=m−204 = m - 204=m−20 m=m =m= __________

Simplify and complete the expression. 5( y - 7) + 8 y = 5 y + - 35 = - 35

For a 49-mile trip, Stacy paid the taxi driver $23.00. If $2 was a tip, how much was the fare? $__________

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?

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

Identify the like terms from the list below and add them. −16x,−6,14b,−20x- 16 x , - 6,14 b , - 20 x−16x,−6,14b,−20x

Let y=5y = 5y=5 and z=1z = 1z=1 . Write the phrase as an algebraic expression, and evaluate it. yyy minus ZZZ

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= __________

Simplify the following algebraic expression and express your answer using positive exponents only. (a−1v−2)7\left( a ^ { - 1 } v ^ { - 2 } \right) ^ { 7 }(a−1v−2)7

Simplify the product. −3x2c5(−2c2x5)- 3 x ^ { 2 } c ^ { 5 } \left( - 2 c ^ { 2 } x ^ { 5 } \right)−3x2c5(−2c2x5)

Which of the following formulas illustrates the associative property of multiplication?

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

The width of a rectangle is 17 inches less than 12\frac { 1 } { 2 }21​ of its length. If the perimeter of the rectangle 98 inches, find the area of the rectangle. ( Hint: Find the width and the length first. )

Simplify the expression. (3x5c4)3\left( 3 x ^ { 5 } c ^ { 4 } \right) ^ { 3 }(3x5c4)3

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Geometry

Filters

Simplify the expression. $\left( 3 s ^ { 3 } \right) ^ { 3 }$

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

Find the product. $\left( 6 b ^ { 5 } \right) \left( 5 b ^ { 6 } \right)$

Use a property of equality to solve the equation. Then check the result. $4 = m - 20$ $m =$ __________

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

Identify the like terms from the list below and add them. $- 16 x , - 6,14 b , - 20 x$

Let $y = 5$ and $z = 1$ . Write the phrase as an algebraic expression, and evaluate it. $y$ minus $Z$

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

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( a ^ { - 1 } v ^ { - 2 } \right) ^ { 7 }$

Simplify the product. $- 3 x ^ { 2 } c ^ { 5 } \left( - 2 c ^ { 2 } x ^ { 5 } \right)$

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

The width of a rectangle is 17 inches less than $\frac { 1 } { 2 }$ of its length. If the perimeter of the rectangle 98 inches, find the area of the rectangle. ( Hint: Find the width and the length first. )

Simplify the expression. $\left( 3 x ^ { 5 } c ^ { 4 } \right) ^ { 3 }$