Question 1

Simplify the algebraic expression below by combining similar terms. $-$ 7( a + 21) $-$ 23( a + 25) + 4( a + 12)

Accepted Answer

The answer of Simplify the algebraic expression below by combining...

Question 2

Simplify the algebraic expression below by combining similar terms. 5( a + 5) + 30( a + 13)

Accepted Answer

The answer of Simplify the algebraic expression below by combining...

Question 3

3 is a factor of 29

Accepted Answer

A) True 
 B)False

Question 4

What is the least common multiple of t and v if the greatest common factor of t and v is 8?

Accepted Answer

A)  t 
B)  v 
C)  t + v 
D)  $\frac { tv } { 8 }$ 
E)  none of these 
A)  t 
B)  v 
C)  t + v 
D)  $\frac { tv } { 8 }$ 
E)  none of these

Question 5

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 11 z + 24 f + 29 z $-$ 25 f for z = 10, f = 8

Accepted Answer

A)  392 
B)  208 
C)  -82 
D)  408 
E)  none of these 
A)  392 
B)  208 
C)  -82 
D)  408 
E)  none of these

Question 6

Use the distributive property to rewrite the simplified expression below. 10(5 + 4)

Accepted Answer

A)  (4 + 5)(4 + 10) 
B)  10(5) + 10(4) 
C)  (10 + 5)(10 + 4) 
D)  5(10) + 5(4) 
E)  none of these 
A)  (4 + 5)(4 + 10) 
B)  10(5) + 10(4) 
C)  (10 + 5)(10 + 4) 
D)  5(10) + 5(4) 
E)  none of these

Question 7

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( z $-$ c ) $-$ ( z + c ) for z = 6, c = 18

Accepted Answer

A)  -12 
B)  42 
C)  36 
D)  30 
E)  none of these 
A)  -12 
B)  42 
C)  36 
D)  30 
E)  none of these

Question 8

Every composite number can be expressed as a product of prime numbers.

Accepted Answer

A) True 
 B)False

Question 9

Use the number line interpretation to find the sum. $-$ 11 + 10

Accepted Answer

A)  -1 
B)  2 
C)  -3 
D)  6 
A)  -1 
B)  2 
C)  -3 
D)  6

Question 10

Use the income and expenses interpretation for the addition of real numbers to find the following sum. 230 + ( $-$ 170)

Accepted Answer

The answer of Use the income and expenses interpretation for...

Question 11

Subtraction can be done in vertical format. Find the difference. $$\begin{array} { r } 
- \quad 18 \
- \quad 18\
\hline
\end{array}$$

Accepted Answer

The answer of Subtraction can be done in vertical format....

Question 12

Find the sum. 66 + ( $-$ 82)

Accepted Answer

To find the sum of 66 and (-82), you nee

Question 13

Subtract as indicated below. $-$ 18 $-$ ( $-$ 4)

Accepted Answer

The answer of Subtract as indicated below. $-$ 18 $-$...

Question 14

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 5( z $-$ 6) $-$ 18( z + 18) for z = 8

Accepted Answer

The answer of Simplify the algebraic expression below, and then...

Question 15

Simplify the numerical expression. $\frac { 15 - 79 } { 8 }$

Accepted Answer

A)  8 
B)  15 
C)  -15 
D)  -8 
E)  6 
A)  8 
B)  15 
C)  -15 
D)  -8 
E)  6

Question 16

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables 6 ( p + r ) $-$ 14 ( p $-$ r ) for p = 4, r = 8

Accepted Answer

The answer of Simplify the algebraic expression below, and then...

Question 17

Find the greatest common factor of the numbers below. 6 and 62

Accepted Answer

The answer of Find the greatest common factor of the...

Question 18

Simplify the numerical expression. 4(18 + 7) $-$ 3(9 $-$ 2)

Accepted Answer

The answer of Simplify the numerical expression. 4(18 + 7)...

Question 19

Use the divisibility rules to help determine the prime factorization of the following number. 22

Accepted Answer

A)  $3 \cdot 11$ 
B)  $2 \cdot 10$ 
C)  $4 \cdot 11$ 
D)  $2 \cdot 11$ 
E)  none of these 
A)  $3 \cdot 11$ 
B)  $2 \cdot 10$ 
C)  $4 \cdot 11$ 
D)  $2 \cdot 11$ 
E)  none of these

Question 20

Simplify the algebraic expression below by combining similar terms. 5 tr $-$ 22 t $-$ 19 tr + 30 t

Accepted Answer

A)  5 tr + 8 t 
B)  -14 tr + 8 t 
C)  -14 t + 8 tr 
D)  -14 tr + 30 t 
E)  none of these 
A)  5 tr + 8 t 
B)  -14 tr + 8 t 
C)  -14 t + 8 tr 
D)  -14 tr + 30 t 
E)  none of these

Simplify the algebraic expression below by combining similar terms. $-$ 7( a + 21) $-$ 23( a + 25) + 4( a + 12)

Simplify the algebraic expression below by combining similar terms. 5( a + 5) + 30( a + 13)

3 is a factor of 29

What is the least common multiple of t and v if the greatest common factor of t and v is 8?

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 11 z + 24 f + 29 z $-$ 25 f for z = 10, f = 8

Use the distributive property to rewrite the simplified expression below. 10(5 + 4)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( z $-$ c ) $-$ ( z + c ) for z = 6, c = 18

Every composite number can be expressed as a product of prime numbers.

Use the number line interpretation to find the sum. $-$ 11 + 10

Use the income and expenses interpretation for the addition of real numbers to find the following sum. 230 + ( $-$ 170)

Subtraction can be done in vertical format. Find the difference. -18 -18

Find the sum. 66 + ( $-$ 82)

Subtract as indicated below. $-$ 18 $-$ ( $-$ 4)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 5( z $-$ 6) $-$ 18( z + 18) for z = 8

Simplify the numerical expression. $\frac { 15 - 79 } { 8 }$

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables 6 ( p + r ) $-$ 14 ( p $-$ r ) for p = 4, r = 8

Find the greatest common factor of the numbers below. 6 and 62

Simplify the numerical expression. 4(18 + 7) $-$ 3(9 $-$ 2)

Use the divisibility rules to help determine the prime factorization of the following number. 22

Simplify the algebraic expression below by combining similar terms. 5 tr $-$ 22 t $-$ 19 tr + 30 t

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 1: Some Basic Concepts of Arithmetic and Algebra

Simplify the algebraic expression below by combining similar terms. −-− 7( a + 21) −-− 23( a + 25) + 4( a + 12)

Simplify the algebraic expression below by combining similar terms. 5( a + 5) + 30( a + 13)

3 is a factor of 29

What is the least common multiple of t and v if the greatest common factor of t and v is 8?

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 11 z + 24 f + 29 z −-− 25 f for z = 10, f = 8

Use the distributive property to rewrite the simplified expression below. 10(5 + 4)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( z −-− c ) −-− ( z + c ) for z = 6, c = 18

Every composite number can be expressed as a product of prime numbers.

Use the number line interpretation to find the sum. −-− 11 + 10

Use the income and expenses interpretation for the addition of real numbers to find the following sum. 230 + ( −-− 170)

Subtraction can be done in vertical format. Find the difference. -18 -18

Find the sum. 66 + ( −-− 82)

Subtract as indicated below. −-− 18 −-− ( −-− 4)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 5( z −-− 6) −-− 18( z + 18) for z = 8

Simplify the numerical expression. 15−798\frac { 15 - 79 } { 8 }815−79​

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables 6 ( p + r ) −-− 14 ( p −-− r ) for p = 4, r = 8

Find the greatest common factor of the numbers below. 6 and 62

Simplify the numerical expression. 4(18 + 7) −-− 3(9 −-− 2)

Use the divisibility rules to help determine the prime factorization of the following number. 22

Simplify the algebraic expression below by combining similar terms. 5 tr −-− 22 t −-− 19 tr + 30 t

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Simplify the algebraic expression below by combining similar terms. $-$ 7( a + 21) $-$ 23( a + 25) + 4( a + 12)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 11 z + 24 f + 29 z $-$ 25 f for z = 10, f = 8

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( z $-$ c ) $-$ ( z + c ) for z = 6, c = 18

Use the number line interpretation to find the sum. $-$ 11 + 10

Use the income and expenses interpretation for the addition of real numbers to find the following sum. 230 + ( $-$ 170)

Find the sum. 66 + ( $-$ 82)

Subtract as indicated below. $-$ 18 $-$ ( $-$ 4)

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 5( z $-$ 6) $-$ 18( z + 18) for z = 8

Simplify the numerical expression. $\frac { 15 - 79 } { 8 }$

Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables 6 ( p + r ) $-$ 14 ( p $-$ r ) for p = 4, r = 8

Simplify the numerical expression. 4(18 + 7) $-$ 3(9 $-$ 2)

Simplify the algebraic expression below by combining similar terms. 5 tr $-$ 22 t $-$ 19 tr + 30 t