Question 1

Rewrite $8 ( 9 y + 6 )$ using the Distributive Property.

Accepted Answer

A)  8.9y 
B)  $8 \cdot 9 y + 8 \cdot 6$ 
C)  $8 \cdot 9 y - 8 \cdot 6$ 
D)  $8 \cdot 9 y + 8$ 
E)  $8 \cdot 9 + 8 \cdot 6$ 
A)  8.9y 
B)  $8 \cdot 9 y + 8 \cdot 6$ 
C)  $8 \cdot 9 y - 8 \cdot 6$ 
D)  $8 \cdot 9 y + 8$ 
E)  $8 \cdot 9 + 8 \cdot 6$

Question 2

Approximate the two numbers and list them in ascending order.

Accepted Answer

A)  $- 4.5,2$ 
B)  $- 2, - 4.5$ 
C)  $- 4.5 , - 2$ 
D)  $4.5,2$ 
E)  $4.5 , - 2$ 
A)  $- 4.5,2$ 
B)  $- 2, - 4.5$ 
C)  $- 4.5 , - 2$ 
D)  $4.5,2$ 
E)  $4.5 , - 2$

Question 3

Find an algebraic expression for the verbal phrase below. Six times the difference of a number x and $4$

Accepted Answer

A)  $6 ( - x ) - 4$ 
B)  $6 ( - x ) + 4$ 
C)  $4 ( x - 6 )$ 
D)  $4 ( 6 - x )$ 
E)  $6 ( x - 4 )$ 
A)  $6 ( - x ) - 4$ 
B)  $6 ( - x ) + 4$ 
C)  $4 ( x - 6 )$ 
D)  $4 ( 6 - x )$ 
E)  $6 ( x - 4 )$

Question 4

Simplify $2 ( r - 7 s ) - 2 ( 4 r - 3 s )$ by eliminating the parentheses and combining like terms.

Accepted Answer

A)  $10 r - 8 s$ 
B)  $- 6 r - 20 s$ 
C)  $- 6 r - 8 s$ 
D)  $10 r - 20 s$ 
E)  $- 6 r - 10 s$ 
A)  $10 r - 8 s$ 
B)  $- 6 r - 20 s$ 
C)  $- 6 r - 8 s$ 
D)  $10 r - 20 s$ 
E)  $- 6 r - 10 s$

Question 5

Translate the verbal phrase the sum of a number n and $3$ , divided by $14$ into an algebraic expression.

Accepted Answer

A)  $\frac { n } { 14 }$ 
B)  $\frac { n + 14 } { 3 }$ 
C)  $n + \frac { 3 } { 14 }$ 
D)  $\frac { n - 3 } { 14 }$ 
E)  $\frac { n + 3 } { 14 }$ 
A)  $\frac { n } { 14 }$ 
B)  $\frac { n + 14 } { 3 }$ 
C)  $n + \frac { 3 } { 14 }$ 
D)  $\frac { n - 3 } { 14 }$ 
E)  $\frac { n + 3 } { 14 }$

Question 6

Write a simplified algebraic expression for the perimeter of the rectangle.

Accepted Answer

A)  $6$ $W$ 
B)  $8$ $W$ 
C)  $7$ $W$ 
D)  $10$ $W$ 
E)  $9$ $W$ 
A)  $6$ $W$ 
B)  $8$ $W$ 
C)  $7$ $W$ 
D)  $10$ $W$ 
E)  $9$ $W$

Question 7

Identify the property of real numbers illustrated by $6 ( y + 3 ) = 6 \cdot y - 6 \cdot 3$ .

Accepted Answer

A) Distributive Property 
B) Additive Inverse Property 
C) Associative Property of Addition 
D) Additive Identity Property 
E) Commutative Property of Addition 
A) Distributive Property 
B) Additive Inverse Property 
C) Associative Property of Addition 
D) Additive Identity Property 
E) Commutative Property of Addition

Question 8

Evaluate the algebraic expression $\frac { 3 x - y } { y ^ { 2 } + 6 }$ when x=6 and y=8.

Accepted Answer

A)  $- \frac { 3 } { 35 }$ 
B)  $\frac { 17 } { 2 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 3 } { 7 }$ 
E)  $\frac { 9 } { 7 }$ 
A)  $- \frac { 3 } { 35 }$ 
B)  $\frac { 17 } { 2 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 3 } { 7 }$ 
E)  $\frac { 9 } { 7 }$

Question 9

The annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000 is given by $3711.8 t + 41,027$ , where $t = 4$ represents 1994. What are the sales of sporting goods (in millions of dollars)in $1994$ ? Round your answer to the nearest dollar.

Accepted Answer

A) $ $18,949$ 
B) $ $55,874$ 
C) $ $14,847$ 
D) $ $63,298$ 
E) $ $55,899$ 
A) $ $18,949$ 
B) $ $55,874$ 
C) $ $14,847$ 
D) $ $63,298$ 
E) $ $55,899$

Question 10

Identify the coefficients in $\frac { x ^ { 2 } } { 5 } - \frac { 7 x } { 5 } + 2$ .

Accepted Answer

A)  2 
B)  $\frac { 1 } { 5 } , - \frac { 7 } { 5 } , 2$ 
C)  $\frac { x ^ { 2 } } { 5 } , - \frac { 5 x } { 7 } , 2$ 
D)  $\frac { x ^ { 2 } } { 5 } , - \frac { 7 x } { 5 } , 2$ 
E)  $\frac { x ^ { 2 } } { 5 } , \frac { 7 x } { 5 } , 2$ 
A)  2 
B)  $\frac { 1 } { 5 } , - \frac { 7 } { 5 } , 2$ 
C)  $\frac { x ^ { 2 } } { 5 } , - \frac { 5 x } { 7 } , 2$ 
D)  $\frac { x ^ { 2 } } { 5 } , - \frac { 7 x } { 5 } , 2$ 
E)  $\frac { x ^ { 2 } } { 5 } , \frac { 7 x } { 5 } , 2$

Question 11

Find the difference $30 - ( - 11 )$ .

Accepted Answer

A) 20 
B) -41 
C) 19 
D) 41 
E) -19 
A) 20 
B) -41 
C) 19 
D) 41 
E) -19

Question 12

Find the product $( - 4 ) ( - 4 ) ( - 5 )$ .

Accepted Answer

A) 80 
B) -320 
C) -13 
D) 320 
E) -80 
A) 80 
B) -320 
C) -13 
D) 320 
E) -80

Question 13

Translate the phrase into an algebraic expression. A number x decreased by $21$

Accepted Answer

A)  $- ( x + 21 )$ 
B)  $\frac { 21 } { x }$ 
C)  $\frac { x } { 21 }$ 
D)  $21 - x$ 
E)  $x - 21$ 
A)  $- ( x + 21 )$ 
B)  $\frac { 21 } { x }$ 
C)  $\frac { x } { 21 }$ 
D)  $21 - x$ 
E)  $x - 21$

Question 14

Find a phrase that is equivalent to $n - 10$ .

Accepted Answer

A) n more than $10$ 
B) the product of n and $- 10$ 
C)  $10$ less than n 
D) n less than $10$ 
E) the difference of n and $- 10$ 
A) n more than $10$ 
B) the product of n and $- 10$ 
C)  $10$ less than n 
D) n less than $10$ 
E) the difference of n and $- 10$

Question 15

The sales tax on a purchase of L dollars is 5 %. Write an algebraic expression that represents the total amount of sales tax.

Accepted Answer

A)  $5 + L$ 
B)  $\frac { 1 } { 5 } L$ 
C)  $0.05 + L$ 
D)  $5 L$ 
E)  $0.05 L$ 
A)  $5 + L$ 
B)  $\frac { 1 } { 5 } L$ 
C)  $0.05 + L$ 
D)  $5 L$ 
E)  $0.05 L$

Question 16

Find a true inequality that involves the real number $- \frac { 10 } { 7 }$ .

Accepted Answer

A)  $- \frac { 10 } { 7 } > \frac { 3 } { 7 }$ 
B)  $- \frac { 10 } { 7 }  - \frac { 7 } { 6 }$ 
E)  $- \frac { 10 } { 7 } > - \frac { 3 } { 7 }$ 
A)  $- \frac { 10 } { 7 } > \frac { 3 } { 7 }$ 
B)  $- \frac { 10 } { 7 }  - \frac { 7 } { 6 }$ 
E)  $- \frac { 10 } { 7 } > - \frac { 3 } { 7 }$

Question 17

Change the right side of $- 3 ( y + 7 ) \neq - 3 y + 21$ so both sides of the equation are equal.

Accepted Answer

A)  $- 3 ( y + 7 ) = 3 y + 21$ 
B)  $- 3 ( y + 7 ) = - 3 y + 7$ 
C)  $- 3 ( y + 7 ) = - 3 y - 21$ 
D)  $- 3 ( y + 7 ) = - 3 y + 3$ 
E)  $- 3 ( y + 7 ) = 3 + 21 y$ 
A)  $- 3 ( y + 7 ) = 3 y + 21$ 
B)  $- 3 ( y + 7 ) = - 3 y + 7$ 
C)  $- 3 ( y + 7 ) = - 3 y - 21$ 
D)  $- 3 ( y + 7 ) = - 3 y + 3$ 
E)  $- 3 ( y + 7 ) = 3 + 21 y$

Question 18

Identify the property of real numbers illustrated by $17 - 17 = 0$ .

Accepted Answer

A) Distributive Property 
B) Additive Inverse Property 
C) Commutative Property of Addition 
D) Associative Property of Addition 
E) Additive Identity Property 
A) Distributive Property 
B) Additive Inverse Property 
C) Commutative Property of Addition 
D) Associative Property of Addition 
E) Additive Identity Property

Question 19

Write a simplified algebraic expression for the area of the region.

Accepted Answer

A)  $24 x ^ { 2 }$ 
B)  $12 x ^ { 2 }$ 
C)  $24 x$ 
D)  $12 x$ 
E)  $24$ 
A)  $24 x ^ { 2 }$ 
B)  $12 x ^ { 2 }$ 
C)  $24 x$ 
D)  $12 x$ 
E)  $24$

Question 20

The area of triangle is given by $\text { Area } = \frac { 1 } { 2 } \cdot \text { base } \cdot \text { height }$ Find the area of the triangle in square inches.   $$a = 8$$

Accepted Answer

A) 4 square inches 
B) 10 square inches 
C) 20 square inches 
D) 40 square inches 
E) 13 square inches 
A) 4 square inches 
B) 10 square inches 
C) 20 square inches 
D) 40 square inches 
E) 13 square inches

Rewrite $8 ( 9 y + 6 )$ using the Distributive Property.

Approximate the two numbers and list them in ascending order.

Find an algebraic expression for the verbal phrase below. Six times the difference of a number x and $4$

Simplify $2 ( r - 7 s ) - 2 ( 4 r - 3 s )$ by eliminating the parentheses and combining like terms.

Translate the verbal phrase the sum of a number n and $3$ , divided by $14$ into an algebraic expression.

Write a simplified algebraic expression for the perimeter of the rectangle.

Identify the property of real numbers illustrated by $6 ( y + 3 ) = 6 \cdot y - 6 \cdot 3$ .

Evaluate the algebraic expression $\frac { 3 x - y } { y ^ { 2 } + 6 }$ when x=6 and y=8.

The annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000 is given by $3711.8 t + 41,027$ , where $t = 4$ represents 1994. What are the sales of sporting goods (in millions of dollars)in $1994$ ? Round your answer to the nearest dollar.

Identify the coefficients in $\frac { x ^ { 2 } } { 5 } - \frac { 7 x } { 5 } + 2$ .

Find the difference $30 - ( - 11 )$ .

Find the product $( - 4 ) ( - 4 ) ( - 5 )$ .

Translate the phrase into an algebraic expression. A number x decreased by $21$

Find a phrase that is equivalent to $n - 10$ .

The sales tax on a purchase of L dollars is 5 %. Write an algebraic expression that represents the total amount of sales tax.

Find a true inequality that involves the real number $- \frac { 10 } { 7 }$ .

Change the right side of $- 3 ( y + 7 ) \neq - 3 y + 21$ so both sides of the equation are equal.

Identify the property of real numbers illustrated by $17 - 17 = 0$ .

Write a simplified algebraic expression for the area of the region.

Linear Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Fundamentals of Algebra

Rewrite 8(9y+6)8 ( 9 y + 6 )8(9y+6) using the Distributive Property.

Approximate the two numbers and list them in ascending order.

Find an algebraic expression for the verbal phrase below. Six times the difference of a number x and 444

Simplify 2(r−7s)−2(4r−3s)2 ( r - 7 s ) - 2 ( 4 r - 3 s )2(r−7s)−2(4r−3s) by eliminating the parentheses and combining like terms.

Translate the verbal phrase the sum of a number n and 333 , divided by 141414 into an algebraic expression.

Write a simplified algebraic expression for the perimeter of the rectangle.

Identify the property of real numbers illustrated by 6(y+3)=6⋅y−6⋅36 ( y + 3 ) = 6 \cdot y - 6 \cdot 36(y+3)=6⋅y−6⋅3 .

Evaluate the algebraic expression 3x−yy2+6\frac { 3 x - y } { y ^ { 2 } + 6 }y2+63x−y​ when x=6 and y=8.

Identify the coefficients in x25−7x5+2\frac { x ^ { 2 } } { 5 } - \frac { 7 x } { 5 } + 25x2​−57x​+2 .

Find the difference 30−(−11)30 - ( - 11 )30−(−11) .

Find the product (−4)(−4)(−5)( - 4 ) ( - 4 ) ( - 5 )(−4)(−4)(−5) .

Translate the phrase into an algebraic expression. A number x decreased by 212121

Find a phrase that is equivalent to n−10n - 10n−10 .

The sales tax on a purchase of L dollars is 5 %. Write an algebraic expression that represents the total amount of sales tax.

Find a true inequality that involves the real number −107- \frac { 10 } { 7 }−710​ .

Change the right side of −3(y+7)≠−3y+21- 3 ( y + 7 ) \neq - 3 y + 21−3(y+7)=−3y+21 so both sides of the equation are equal.

Identify the property of real numbers illustrated by 17−17=017 - 17 = 017−17=0 .

Write a simplified algebraic expression for the area of the region.

The area of triangle is given by Area =12⋅ base ⋅ height \text { Area } = \frac { 1 } { 2 } \cdot \text { base } \cdot \text { height } Area =21​⋅ base ⋅ height Find the area of the triangle in square inches. a=8a = 8a=8

Linear Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Rewrite $8 ( 9 y + 6 )$ using the Distributive Property.

Find an algebraic expression for the verbal phrase below. Six times the difference of a number x and $4$

Simplify $2 ( r - 7 s ) - 2 ( 4 r - 3 s )$ by eliminating the parentheses and combining like terms.

Translate the verbal phrase the sum of a number n and $3$ , divided by $14$ into an algebraic expression.

Identify the property of real numbers illustrated by $6 ( y + 3 ) = 6 \cdot y - 6 \cdot 3$ .

Evaluate the algebraic expression $\frac { 3 x - y } { y ^ { 2 } + 6 }$ when x=6 and y=8.

Identify the coefficients in $\frac { x ^ { 2 } } { 5 } - \frac { 7 x } { 5 } + 2$ .

Find the difference $30 - ( - 11 )$ .

Find the product $( - 4 ) ( - 4 ) ( - 5 )$ .

Translate the phrase into an algebraic expression. A number x decreased by $21$

Find a phrase that is equivalent to $n - 10$ .

Find a true inequality that involves the real number $- \frac { 10 } { 7 }$ .

Change the right side of $- 3 ( y + 7 ) \neq - 3 y + 21$ so both sides of the equation are equal.

Identify the property of real numbers illustrated by $17 - 17 = 0$ .