Question 1

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)  $\frac { 1 } { a ^ { 7 } v ^ { 14 } }$ E

Question 2

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

Accepted Answer

21

Question 3

Use the division or the multiplication property of equality to solve $28 a = 2,072$ . What is the result? $a =$ __________

Accepted Answer

74

Question 4

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)  $3 x ^ { 15 } c ^ { 12 }$

Question 5

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 6

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 48.

Accepted Answer

A)  -15, -16, -17 
B)  15, 14, 13 
C)  17, 18, 19 
D)  20, 21, 22 
E)  15, 16, 17 
A)  -15, -16, -17 
B)  15, 14, 13 
C)  17, 18, 19 
D)  20, 21, 22 
E)  15, 16, 17

Question 7

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 8

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 9

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 10

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

Accepted Answer

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

Question 11

In the expression $- 4 ^ { - 10 }$ , what is the base and the exponent?

Accepted Answer

The answer of In the expression \(- 4 ^ {...

Question 12

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 13

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 14

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 15

What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$  rewritten using only one exponent?

Accepted Answer

A)  $8 c ^ { 7 }$ 
B)  $40 c$ 
C)  $40 c ^ { 6 }$ 
D)  $40 c ^ { 7 }$ 
E)  $9 c ^ { 7 }$ 
A)  $8 c ^ { 7 }$ 
B)  $40 c$ 
C)  $40 c ^ { 6 }$ 
D)  $40 c ^ { 7 }$ 
E)  $9 c ^ { 7 }$

Question 16

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 17

Use an equation to solve the problem.
A sport jacket that sells for $180 has a markup of $90. Find the wholesale price.

Accepted Answer

A)  $70 
B)  $85 
C)  $105 
D)  $90 
E)  $100 
A)  $70 
B)  $85 
C)  $105 
D)  $90 
E)  $100

Question 18

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 19

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 20

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

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

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

Use the division or the multiplication property of equality to solve $28 a = 2,072$ . What is the result? $a =$ __________

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

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

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 48.

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

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

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

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

In the expression $- 4 ^ { - 10 }$ , what is the base and the exponent?

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

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?

What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$ rewritten using only one exponent?

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

Use an equation to solve the problem. A sport jacket that sells for $180 has a markup of $90. Find the wholesale price.

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

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

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

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Exam 8: An Introduction to Algebra

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

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

Use the division or the multiplication property of equality to solve 28a=2,07228 a = 2,07228a=2,072 . What is the result? a=a =a= __________

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

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

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 48.

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

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

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

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

In the expression −4−10- 4 ^ { - 10 }−4−10 , what is the base and the exponent?

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

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?

What is 2c3(4c2)5c22 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }2c3(4c2)5c2 rewritten using only one exponent?

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

Use an equation to solve the problem. A sport jacket that sells for $180 has a markup of $90. Find the wholesale price.

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

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)

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

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

Use the division or the multiplication property of equality to solve $28 a = 2,072$ . What is the result? $a =$ __________

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

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

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

In the expression $- 4 ^ { - 10 }$ , what is the base and the exponent?

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

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

What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$ rewritten using only one exponent?

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

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

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

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