Question 1

Match between columns
                        Premises: $( x + 5 ) ^ { 3 }$
$( 5 x ) ^ { 3 }$
$x ^ { 3 } + 5$
$5 x ^ { 3 }$

Accepted Answer

The Answer of Five times the cube of a number is...

Question 2

Solve for the variable that is capitalized. Assume that none of the variables is 0. $X + 2 y = z$

Accepted Answer

A)  $X = \frac { z } { 2 y }$ 
B)  $X = 2 y - z$ 
C)  $X = z - 2 y$ 
D)  $X = z \cdot 2 y$ 
E)  $X = z + 2 y$ 
A)  $X = \frac { z } { 2 y }$ 
B)  $X = 2 y - z$ 
C)  $X = z - 2 y$ 
D)  $X = z \cdot 2 y$ 
E)  $X = z + 2 y$ C

Question 3

Solve the equation. $2 x + 8 = 18$

Accepted Answer

A)  $x = - 5$ 
B)  $x = 8$ 
C)  $x = 4$ 
D)  $x = 13$ 
E)  $x = 5$ 
A)  $x = - 5$ 
B)  $x = 8$ 
C)  $x = 4$ 
D)  $x = 13$ 
E)  $x = 5$ E

Question 4

Convert the word phrase into an expression with a variable, and simplify the expression. The square of two times a number

Accepted Answer

A)  $4 x ^ { 2 }$ 
B)  $4 \cdot 2$ 
C)  $2 x ^ { 2 }$ 
D)  $x ^ { 2 } + 2$ 
E)  $( x + 2 ) ^ { 2 }$ 
A)  $4 x ^ { 2 }$ 
B)  $4 \cdot 2$ 
C)  $2 x ^ { 2 }$ 
D)  $x ^ { 2 } + 2$ 
E)  $( x + 2 ) ^ { 2 }$

Question 5

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $$2 s ^ { 4 } \left( - 2 s ^ { 3 } \right) \left( - 3 s ^ { 2 } \right)$$

Accepted Answer

A)  $- 12 s ^ { 24 }$ 
B)  $( 12 s ) ^ { 9 }$ 
C)  $75 ^ { 9 }$ 
D)  $12 s ^ { 9 }$ 
E)  $12 s ^ { 24 }$ 
A)  $- 12 s ^ { 24 }$ 
B)  $( 12 s ) ^ { 9 }$ 
C)  $75 ^ { 9 }$ 
D)  $12 s ^ { 9 }$ 
E)  $12 s ^ { 24 }$

Question 6

Simplify the expression as completely as possible. $$\left( - 4 w ^ { 2 } \right) \left( - 2 w ^ { 4 } \right)$$

Accepted Answer

The answer of Simplify the expression as completely as possible....

Question 7

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $$x ^ { 3 } t ^ { 3 } x ^ { 2 }$$

Accepted Answer

A)  $2 x ^ { 3 } t ^ { 5 }$ 
B)  $x ^ { 6 } t ^ { 2 }$ 
C)  $x ^ { 6 } t ^ { 3 }$ 
D)  $2 x ^ { 5 } t ^ { 3 }$ 
E)  $x ^ { 5 } t ^ { 3 }$ 
A)  $2 x ^ { 3 } t ^ { 5 }$ 
B)  $x ^ { 6 } t ^ { 2 }$ 
C)  $x ^ { 6 } t ^ { 3 }$ 
D)  $2 x ^ { 5 } t ^ { 3 }$ 
E)  $x ^ { 5 } t ^ { 3 }$

Question 8

Find the indicated sum or difference. $$- a - 2 a + ( - 2 ) a$$

Accepted Answer

A)  $- 4 a$ 
B)  $5 a$ 
C)  $- 8 a$ 
D)  $- 5 a$ 
E)  $- 3 a ^ { 3 }$ 
A)  $- 4 a$ 
B)  $5 a$ 
C)  $- 8 a$ 
D)  $- 5 a$ 
E)  $- 3 a ^ { 3 }$

Question 9

The numerical coefficient of the term 10 x is 10.

Accepted Answer

A) True 
 B)False

Question 10

Find the sum. $$9 y + 6 y + 2 y$$

Accepted Answer

A)  $17 y$ 
B)  $16 y$ 
C)  $15 y$ 
D)  $17 y ^ { 3 }$ 
E)  $17$ 
A)  $17 y$ 
B)  $16 y$ 
C)  $15 y$ 
D)  $17 y ^ { 3 }$ 
E)  $17$

Question 11

Which of the following is not a property of equations?

Accepted Answer

A)  The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number. 
B)  The solution of an equation is unchanged by dividing one side of an equation by a number and the other side by its reciprocal. 
C)  The solution of an equation is unchanged by dividing both sides of the equation by the same nonzero number. 
D)  The solution of an equation is unchanged by subtracting the same number from both sides of the equation. 
E)  The solution of an equation is unchanged by adding the same number to both sides of the equation. 
A)  The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number. 
B)  The solution of an equation is unchanged by dividing one side of an equation by a number and the other side by its reciprocal. 
C)  The solution of an equation is unchanged by dividing both sides of the equation by the same nonzero number. 
D)  The solution of an equation is unchanged by subtracting the same number from both sides of the equation. 
E)  The solution of an equation is unchanged by adding the same number to both sides of the equation.

Question 12

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $X X X X$

Accepted Answer

The answer of Use the definition of exponent and the...

Question 13

Multiply. $3 x ( - 4 y ) ( - x ) ( - 4 y )$

Accepted Answer

The answer of Multiply. \(3 x ( - 4 y...

Question 14

Find the indicated sum or difference. $$( - 4 ) y + 3 y + 10 y$$

Accepted Answer

A)  $9 y ^ { 3 }$ 
B)  $13 y$ 
C)  $- 9 y$ 
D)  $9 y$ 
E)  $17 y$ 
A)  $9 y ^ { 3 }$ 
B)  $13 y$ 
C)  $- 9 y$ 
D)  $9 y$ 
E)  $17 y$

Question 15

Solve the equation. $\frac { x } { 6 } + 6 = 8$

Accepted Answer

A)  $x = 8$ 
B)  $x = 42$ 
C)  $x = 12$ 
D)  $x = 84$ 
E)  $x = 2$ 
A)  $x = 8$ 
B)  $x = 42$ 
C)  $x = 12$ 
D)  $x = 84$ 
E)  $x = 2$

Question 16

Simplify the expression. $$( t + 3 ) ( 3 t - 14 )$$

Accepted Answer

A)  $3 t ^ { 2 } - 8 t - 17$ 
B)  $3 t ^ { 2 } - 5 t + 42$ 
C)  $3 t ^ { 2 } - 5 t - 42$ 
D)  $3 t ^ { 2 } - 23 t - 42$ 
E)  $3 t ^ { 2 } + 5 t - 42$ 
A)  $3 t ^ { 2 } - 8 t - 17$ 
B)  $3 t ^ { 2 } - 5 t + 42$ 
C)  $3 t ^ { 2 } - 5 t - 42$ 
D)  $3 t ^ { 2 } - 23 t - 42$ 
E)  $3 t ^ { 2 } + 5 t - 42$

Question 17

A molecule of $\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }$ consists of 2 iron atoms and 3 oxygen atoms. How many total atoms do y molecules contain?

Accepted Answer

A)  $2 y + 3$ 
B)  $y + 5$ 
C)  $5 y$ 
D)  $6 y$ 
E)  $5 + 2 y$ 
A)  $2 y + 3$ 
B)  $y + 5$ 
C)  $5 y$ 
D)  $6 y$ 
E)  $5 + 2 y$

Question 18

Find the indicated sum or difference. $$\left( 7 b ^ { 2 } + 9 b \right) + \left( 9 b ^ { 2 } - 7 b + 8 \right)$$

Accepted Answer

A)  $16 b ^ { 2 } + 2 b - 8$ 
B)  $17 b ^ { 2 } + 2 b + 8$ 
C)  $16 b ^ { 2 } + 2 b + 8$ 
D)  $16 b ^ { 2 } + 2 b$ 
E)  $16 b ^ { 2 } + 16 b + 8$ 
A)  $16 b ^ { 2 } + 2 b - 8$ 
B)  $17 b ^ { 2 } + 2 b + 8$ 
C)  $16 b ^ { 2 } + 2 b + 8$ 
D)  $16 b ^ { 2 } + 2 b$ 
E)  $16 b ^ { 2 } + 16 b + 8$

Question 19

The first step in solving $s + 9 = 66$ is to subtract __________ from both sides.

Accepted Answer

The answer of The first step in solving \(s +...

Question 20

Simplify the expression $$( n - 3 ) ( n - 8 )$$

Accepted Answer

A)  $n ^ { 2 } - 11 n + 24$ 
B)  $12 n + 24$ 
C)  $n ^ { 2 } - 11 n$ 
D)  $n ^ { 2 } - 11 n - 24$ 
E)  $n ^ { 2 } + 11 n + 24$ 
A)  $n ^ { 2 } - 11 n + 24$ 
B)  $12 n + 24$ 
C)  $n ^ { 2 } - 11 n$ 
D)  $n ^ { 2 } - 11 n - 24$ 
E)  $n ^ { 2 } + 11 n + 24$

Solve for the variable that is capitalized. Assume that none of the variables is 0. $X + 2 y = z$

Solve the equation. $2 x + 8 = 18$

Convert the word phrase into an expression with a variable, and simplify the expression. The square of two times a number

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $2 s ^ { 4 } \left( - 2 s ^ { 3 } \right) \left( - 3 s ^ { 2 } \right)$

Simplify the expression as completely as possible. $\left( - 4 w ^ { 2 } \right) \left( - 2 w ^ { 4 } \right)$

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $x ^ { 3 } t ^ { 3 } x ^ { 2 }$

Find the indicated sum or difference. $- a - 2 a + ( - 2 ) a$

The numerical coefficient of the term 10 x is 10.

Find the sum. $9 y + 6 y + 2 y$

Which of the following is not a property of equations?

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $X X X X$

Multiply. $3 x ( - 4 y ) ( - x ) ( - 4 y )$

Find the indicated sum or difference. $( - 4 ) y + 3 y + 10 y$

Solve the equation. $\frac { x } { 6 } + 6 = 8$

Simplify the expression. $( t + 3 ) ( 3 t - 14 )$

A molecule of $\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }$ consists of 2 iron atoms and 3 oxygen atoms. How many total atoms do y molecules contain?

Find the indicated sum or difference. $\left( 7 b ^ { 2 } + 9 b \right) + \left( 9 b ^ { 2 } - 7 b + 8 \right)$

The first step in solving $s + 9 = 66$ is to subtract __________ from both sides.

Simplify the expression $( n - 3 ) ( n - 8 )$

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Exam 3: Introduction to Algebra

Solve for the variable that is capitalized. Assume that none of the variables is 0. X+2y=zX + 2 y = zX+2y=z

Solve the equation. 2x+8=182 x + 8 = 182x+8=18

Convert the word phrase into an expression with a variable, and simplify the expression. The square of two times a number

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 2s4(−2s3)(−3s2)2 s ^ { 4 } \left( - 2 s ^ { 3 } \right) \left( - 3 s ^ { 2 } \right)2s4(−2s3)(−3s2)

Simplify the expression as completely as possible. (−4w2)(−2w4)\left( - 4 w ^ { 2 } \right) \left( - 2 w ^ { 4 } \right)(−4w2)(−2w4)

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. x3t3x2x ^ { 3 } t ^ { 3 } x ^ { 2 }x3t3x2

Find the indicated sum or difference. −a−2a+(−2)a- a - 2 a + ( - 2 ) a−a−2a+(−2)a

The numerical coefficient of the term 10 x is 10.

Find the sum. 9y+6y+2y9 y + 6 y + 2 y9y+6y+2y

Which of the following is not a property of equations?

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. XXXXX X X XXXXX

Multiply. 3x(−4y)(−x)(−4y)3 x ( - 4 y ) ( - x ) ( - 4 y )3x(−4y)(−x)(−4y)

Find the indicated sum or difference. (−4)y+3y+10y( - 4 ) y + 3 y + 10 y(−4)y+3y+10y

Solve the equation. x6+6=8\frac { x } { 6 } + 6 = 86x​+6=8

Simplify the expression. (t+3)(3t−14)( t + 3 ) ( 3 t - 14 )(t+3)(3t−14)

A molecule of Fe2O3\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }Fe2​O3​ consists of 2 iron atoms and 3 oxygen atoms. How many total atoms do y molecules contain?

Find the indicated sum or difference. (7b2+9b)+(9b2−7b+8)\left( 7 b ^ { 2 } + 9 b \right) + \left( 9 b ^ { 2 } - 7 b + 8 \right)(7b2+9b)+(9b2−7b+8)

The first step in solving s+9=66s + 9 = 66s+9=66 is to subtract __________ from both sides.

Simplify the expression (n−3)(n−8)( n - 3 ) ( n - 8 )(n−3)(n−8)

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Probability

Statistics

Graphs

Filters

Solve for the variable that is capitalized. Assume that none of the variables is 0. $X + 2 y = z$

Solve the equation. $2 x + 8 = 18$

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $2 s ^ { 4 } \left( - 2 s ^ { 3 } \right) \left( - 3 s ^ { 2 } \right)$

Simplify the expression as completely as possible. $\left( - 4 w ^ { 2 } \right) \left( - 2 w ^ { 4 } \right)$

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $x ^ { 3 } t ^ { 3 } x ^ { 2 }$

Find the indicated sum or difference. $- a - 2 a + ( - 2 ) a$

Find the sum. $9 y + 6 y + 2 y$

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. $X X X X$

Multiply. $3 x ( - 4 y ) ( - x ) ( - 4 y )$

Find the indicated sum or difference. $( - 4 ) y + 3 y + 10 y$

Solve the equation. $\frac { x } { 6 } + 6 = 8$

Simplify the expression. $( t + 3 ) ( 3 t - 14 )$

A molecule of $\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }$ consists of 2 iron atoms and 3 oxygen atoms. How many total atoms do y molecules contain?

Find the indicated sum or difference. $\left( 7 b ^ { 2 } + 9 b \right) + \left( 9 b ^ { 2 } - 7 b + 8 \right)$

The first step in solving $s + 9 = 66$ is to subtract __________ from both sides.

Simplify the expression $( n - 3 ) ( n - 8 )$