Question 1

Simplify the algebraic expression. $$\left( 8 c ^ { 2 } + 8 c + 3 \right) - \left( 6 c ^ { 2 } - 5 c + 2 \right)$$

Accepted Answer

A)  $2 c ^ { 2 } + 3 c$ 
B)  $14 c ^ { 2 } + 3 c + 5$ 
C)  $2 c ^ { 2 } + 3 c - 5$ 
D)  $48 c ^ { 4 } + 40 c ^ { 2 } + 1$ 
E)  $2 c ^ { 2 } + 13 c + 1$ 
A)  $2 c ^ { 2 } + 3 c$ 
B)  $14 c ^ { 2 } + 3 c + 5$ 
C)  $2 c ^ { 2 } + 3 c - 5$ 
D)  $48 c ^ { 4 } + 40 c ^ { 2 } + 1$ 
E)  $2 c ^ { 2 } + 13 c + 1$

Question 2

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

Accepted Answer

A)  $Z Z Z$ 
B)  $Z$ 
C)  $z ^ { 3 }$ 
D)  $3 z$ 
E)  none of these 
A)  $Z Z Z$ 
B)  $Z$ 
C)  $z ^ { 3 }$ 
D)  $3 z$ 
E)  none of these

Question 3

Advanced-purchase tickets to an art exhibition cost $9, while tickets purchased at the door cost $13. If a total of 180 tickets were sold and $2,220 was collected, how many advanced-purchase tickets were sold? 
__________ advanced-purchase tickets

Accepted Answer

The answer of Advanced-purchase tickets to an art exhibition cost...

Question 4

Use the division property of equality to solve the equation. $$6 a = 78$$

Accepted Answer

A)  $a = 13$ 
B)  $a = 84$ 
C)  $a = 36$ 
D)  $a = 72$ 
E)  $a = 19$ 
A)  $a = 13$ 
B)  $a = 84$ 
C)  $a = 36$ 
D)  $a = 72$ 
E)  $a = 19$

Question 5

Simplify the expression by combining similar terms. $$- 7 m - ( - 9 m )$$

Accepted Answer

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

Question 6

Identify the coefficient of the term. $$- 8 x ^ { 4 }$$

Accepted Answer

A)  $- 8 x$ 
B)  8 
C)  $- 8$ 
D)  $4$ 
E)  $x$ 
A)  $- 8 x$ 
B)  8 
C)  $- 8$ 
D)  $4$ 
E)  $x$

Question 7

Solve the equation. $4 x + 4 = 40$

Accepted Answer

A)  $x = - 36$ 
B)  $x = - 9$ 
C)  $x = 11$ 
D)  $x = 36$ 
E)  $x = 9$ 
A)  $x = - 36$ 
B)  $x = - 9$ 
C)  $x = 11$ 
D)  $x = 36$ 
E)  $x = 9$

Question 8

Simplify the expression. $$3 ( 5 - y ) - ( y + 1 )$$

Accepted Answer

A)  $- 4 y + 4$ 
B)  $3 y - 4$ 
C)  $- 3 y + 4$ 
D)  $- 4 y + 14$ 
E)  $- 3 y + 14$ 
A)  $- 4 y + 4$ 
B)  $3 y - 4$ 
C)  $- 3 y + 4$ 
D)  $- 4 y + 14$ 
E)  $- 3 y + 14$

Question 9

Simplify the expression as completely as possible. $( 5 a ) ( 2 a ) ( 6 a )$

Accepted Answer

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

Question 10

A cabinet shop produces two types of custom-made cabinets for a customer. If the fancy cabinet costs 5 times as much as the standard cabinet, and if the total price for both cabinets is $8,250, how much does each cabinet cost? 
Fancy cabinet = $__________ 
Standard cabinet = $__________

Accepted Answer

The answer of A cabinet shop produces two types of...

Question 11

Solve the equation. $$q + 7 = - 13$$

Accepted Answer

A)  $q = 6$ 
B)  $q = - 23$ 
C)  $q = - 20$ 
D)  $q = 20$ 
E)  $q = - 6$ 
A)  $q = 6$ 
B)  $q = - 23$ 
C)  $q = - 20$ 
D)  $q = 20$ 
E)  $q = - 6$

Question 12

Find the indicated sum or difference. $$\left( - 4 y ^ { 2 } + 2 \right) + \left( 9 y ^ { 2 } - 2 \right)$$

Accepted Answer

The answer of Find the indicated sum or difference. \[\left(...

Question 13

Find the product. $$\left( 4 z ^ { 3 } \right) \left( 6 z ^ { 3 } \right)$$

Accepted Answer

A)  $24 z ^ { 9 }$ 
B)  $24 z ^ { 6 }$ 
C)  $10 z ^ { 9 }$ 
D)  $4 ^ { 3 } \cdot 6 ^ { 3 } z ^ { 6 }$ 
E)  $10 z ^ { 6 }$ 
A)  $24 z ^ { 9 }$ 
B)  $24 z ^ { 6 }$ 
C)  $10 z ^ { 9 }$ 
D)  $4 ^ { 3 } \cdot 6 ^ { 3 } z ^ { 6 }$ 
E)  $10 z ^ { 6 }$

Question 14

Find the indicated sum or difference. $$- 4 x + 10 - 5 t - 10 x + 9$$

Accepted Answer

The answer of Find the indicated sum or difference. \[-...

Question 15

Find the indicated sum or difference. $$\left( 2 y ^ { 2 } + 9 y + 7 \right) + \left( 9 y ^ { 2 } - 4 y + 8 \right)$$

Accepted Answer

A)  $11 y ^ { 2 } + 5 y - 15$ 
B)  $11 y ^ { 2 } + 5 y + 15$ 
C)  $18 y ^ { 4 } + 5 y ^ { 2 } + 15$ 
D)  $11 y ^ { 2 } + 13 y + 15$ 
E)  $11 y ^ { 2 } + 5 y$ 
A)  $11 y ^ { 2 } + 5 y - 15$ 
B)  $11 y ^ { 2 } + 5 y + 15$ 
C)  $18 y ^ { 4 } + 5 y ^ { 2 } + 15$ 
D)  $11 y ^ { 2 } + 13 y + 15$ 
E)  $11 y ^ { 2 } + 5 y$

Question 16

Simplify the expression by combining similar terms. $$8 x + 20 x$$

Accepted Answer

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

Question 17

Solve the inequality. $7 x+21 \geq 35$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Simplify the algebraic expression. $$( x + 5 ) ( 6 x - 9 )$$

Accepted Answer

The answer of Simplify the algebraic expression. \[( x +...

Question 19

Simplify the expression. $$( n - 6 ) ( n - 6 )$$

Accepted Answer

A)  $n ^ { 2 } + 12 n + 36$ 
B)  $n ^ { 2 } - 12 n$ 
C)  $13 n + 36$ 
D)  $n ^ { 2 } - 12 n + 36$ 
E)  $n ^ { 2 } - 12 n - 36$ 
A)  $n ^ { 2 } + 12 n + 36$ 
B)  $n ^ { 2 } - 12 n$ 
C)  $13 n + 36$ 
D)  $n ^ { 2 } - 12 n + 36$ 
E)  $n ^ { 2 } - 12 n - 36$

Question 20

Simplify the algebraic expression. $$- 4 \left( 9 x ^ { 2 } + 4 x - 10 \right) - 4 \left( 3 x ^ { 2 } - 2 x + 5 \right)$$

Accepted Answer

A)  $- 48 x ^ { 2 } - 8 x - 60$ 
B)  $- 48 x ^ { 2 } - 8 x + 20$ 
C)  $48 x ^ { 2 } - 8 x + 20$ 
D)  $- 12 x ^ { 2 } - 2 x + 5$ 
E)  $- 48 x ^ { 2 } - 24 x + 20$ 
A)  $- 48 x ^ { 2 } - 8 x - 60$ 
B)  $- 48 x ^ { 2 } - 8 x + 20$ 
C)  $48 x ^ { 2 } - 8 x + 20$ 
D)  $- 12 x ^ { 2 } - 2 x + 5$ 
E)  $- 48 x ^ { 2 } - 24 x + 20$

Simplify the algebraic expression. $\left( 8 c ^ { 2 } + 8 c + 3 \right) - \left( 6 c ^ { 2 } - 5 c + 2 \right)$

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

Advanced-purchase tickets to an art exhibition cost $9, while tickets purchased at the door cost $13. If a total of 180 tickets were sold and $2,220 was collected, how many advanced-purchase tickets were sold? __________ advanced-purchase tickets

Use the division property of equality to solve the equation. $6 a = 78$

Simplify the expression by combining similar terms. $- 7 m - ( - 9 m )$

Identify the coefficient of the term. $- 8 x ^ { 4 }$

Solve the equation. $4 x + 4 = 40$

Simplify the expression. $3 ( 5 - y ) - ( y + 1 )$

Simplify the expression as completely as possible. $( 5 a ) ( 2 a ) ( 6 a )$

A cabinet shop produces two types of custom-made cabinets for a customer. If the fancy cabinet costs 5 times as much as the standard cabinet, and if the total price for both cabinets is $8,250, how much does each cabinet cost? Fancy cabinet = $ Standard cabinet = $

Solve the equation. $q + 7 = - 13$

Find the indicated sum or difference. $\left( - 4 y ^ { 2 } + 2 \right) + \left( 9 y ^ { 2 } - 2 \right)$

Find the product. $\left( 4 z ^ { 3 } \right) \left( 6 z ^ { 3 } \right)$

Find the indicated sum or difference. $- 4 x + 10 - 5 t - 10 x + 9$

Find the indicated sum or difference. $\left( 2 y ^ { 2 } + 9 y + 7 \right) + \left( 9 y ^ { 2 } - 4 y + 8 \right)$

Simplify the expression by combining similar terms. $8 x + 20 x$

Solve the inequality. $7 x+21 \geq 35$

Simplify the algebraic expression. $( x + 5 ) ( 6 x - 9 )$

Simplify the expression. $( n - 6 ) ( n - 6 )$

Simplify the algebraic expression. $- 4 \left( 9 x ^ { 2 } + 4 x - 10 \right) - 4 \left( 3 x ^ { 2 } - 2 x + 5 \right)$

Arithmetic, Calculators, and Problem Solving

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Exam 3: Introduction to Algebra

Simplify the algebraic expression. (8c2+8c+3)−(6c2−5c+2)\left( 8 c ^ { 2 } + 8 c + 3 \right) - \left( 6 c ^ { 2 } - 5 c + 2 \right)(8c2+8c+3)−(6c2−5c+2)

Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. ZZZZ Z ZZZZ

Advanced-purchase tickets to an art exhibition cost $9, while tickets purchased at the door cost $13. If a total of 180 tickets were sold and $2,220 was collected, how many advanced-purchase tickets were sold? __________ advanced-purchase tickets

Use the division property of equality to solve the equation. 6a=786 a = 786a=78

Simplify the expression by combining similar terms. −7m−(−9m)- 7 m - ( - 9 m )−7m−(−9m)

Identify the coefficient of the term. −8x4- 8 x ^ { 4 }−8x4

Solve the equation. 4x+4=404 x + 4 = 404x+4=40

Simplify the expression. 3(5−y)−(y+1)3 ( 5 - y ) - ( y + 1 )3(5−y)−(y+1)

Simplify the expression as completely as possible. (5a)(2a)(6a)( 5 a ) ( 2 a ) ( 6 a )(5a)(2a)(6a)

A cabinet shop produces two types of custom-made cabinets for a customer. If the fancy cabinet costs 5 times as much as the standard cabinet, and if the total price for both cabinets is $8,250, how much does each cabinet cost? Fancy cabinet = $__________ Standard cabinet = $__________

Solve the equation. q+7=−13q + 7 = - 13q+7=−13

Find the indicated sum or difference. (−4y2+2)+(9y2−2)\left( - 4 y ^ { 2 } + 2 \right) + \left( 9 y ^ { 2 } - 2 \right)(−4y2+2)+(9y2−2)

Find the product. (4z3)(6z3)\left( 4 z ^ { 3 } \right) \left( 6 z ^ { 3 } \right)(4z3)(6z3)

Find the indicated sum or difference. −4x+10−5t−10x+9- 4 x + 10 - 5 t - 10 x + 9−4x+10−5t−10x+9

Find the indicated sum or difference. (2y2+9y+7)+(9y2−4y+8)\left( 2 y ^ { 2 } + 9 y + 7 \right) + \left( 9 y ^ { 2 } - 4 y + 8 \right)(2y2+9y+7)+(9y2−4y+8)

Simplify the expression by combining similar terms. 8x+20x8 x + 20 x8x+20x

Solve the inequality. 7x+21≥357 x+21 \geq 357x+21≥35

Simplify the algebraic expression. (x+5)(6x−9)( x + 5 ) ( 6 x - 9 )(x+5)(6x−9)

Simplify the expression. (n−6)(n−6)( n - 6 ) ( n - 6 )(n−6)(n−6)

Simplify the algebraic expression. −4(9x2+4x−10)−4(3x2−2x+5)- 4 \left( 9 x ^ { 2 } + 4 x - 10 \right) - 4 \left( 3 x ^ { 2 } - 2 x + 5 \right)−4(9x2+4x−10)−4(3x2−2x+5)

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

Simplify the algebraic expression. $\left( 8 c ^ { 2 } + 8 c + 3 \right) - \left( 6 c ^ { 2 } - 5 c + 2 \right)$

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

Use the division property of equality to solve the equation. $6 a = 78$

Simplify the expression by combining similar terms. $- 7 m - ( - 9 m )$

Identify the coefficient of the term. $- 8 x ^ { 4 }$

Solve the equation. $4 x + 4 = 40$

Simplify the expression. $3 ( 5 - y ) - ( y + 1 )$

Simplify the expression as completely as possible. $( 5 a ) ( 2 a ) ( 6 a )$

A cabinet shop produces two types of custom-made cabinets for a customer. If the fancy cabinet costs 5 times as much as the standard cabinet, and if the total price for both cabinets is $8,250, how much does each cabinet cost? Fancy cabinet = $ Standard cabinet = $

Solve the equation. $q + 7 = - 13$

Find the indicated sum or difference. $\left( - 4 y ^ { 2 } + 2 \right) + \left( 9 y ^ { 2 } - 2 \right)$

Find the product. $\left( 4 z ^ { 3 } \right) \left( 6 z ^ { 3 } \right)$

Find the indicated sum or difference. $- 4 x + 10 - 5 t - 10 x + 9$

Find the indicated sum or difference. $\left( 2 y ^ { 2 } + 9 y + 7 \right) + \left( 9 y ^ { 2 } - 4 y + 8 \right)$

Simplify the expression by combining similar terms. $8 x + 20 x$

Solve the inequality. $7 x+21 \geq 35$

Simplify the algebraic expression. $( x + 5 ) ( 6 x - 9 )$

Simplify the expression. $( n - 6 ) ( n - 6 )$

Simplify the algebraic expression. $- 4 \left( 9 x ^ { 2 } + 4 x - 10 \right) - 4 \left( 3 x ^ { 2 } - 2 x + 5 \right)$