Question 1

Identify the terms of the expression that follows. $8 t ^ { 2 } + 5$

Accepted Answer

A)  $5,8$ 
B)  $8 t ^ { 2 } + 5$ 
C)  $t ^ { 2 }$ 
D)  $5,8 , t ^ { 2 }$ 
E)  $5,8 t ^ { 2 }$ 
A)  $5,8$ 
B)  $8 t ^ { 2 } + 5$ 
C)  $t ^ { 2 }$ 
D)  $5,8 , t ^ { 2 }$ 
E)  $5,8 t ^ { 2 }$

Question 2

Translate the phrase into an algebraic expression. A number x divided by $120$

Accepted Answer

A)  $x - 120$ 
B)  $\frac { 120 } { x }$ 
C)  $120 - x$ 
D)  $\frac { 1 } { 120 x }$ 
E)  $\frac { x } { 120 }$ 
A)  $x - 120$ 
B)  $\frac { 120 } { x }$ 
C)  $120 - x$ 
D)  $\frac { 1 } { 120 x }$ 
E)  $\frac { x } { 120 }$

Question 3

Use the Distributive Property to perform the arithmetic $9 ( 52 )$ mentally. For example, you work in an industry in which the wage is $14 per hour with time and a half for overtime. So, your hourly wage for overtime is $14 ( 1.5 ) = 14 \left( 1 + \frac { 1 } { 2 } \right) = 14 + 7 = \$ 21$

Accepted Answer

A)  61 
B)  448 
C)  450 
D)  452 
E)  468 
A)  61 
B)  448 
C)  450 
D)  452 
E)  468

Question 4

Evaluate $- | - 9.25 |$ .

Accepted Answer

A)  0.25 
B)  -9.25 
C) 0 
D)  - 0.25 
E)  9.25 
A)  0.25 
B)  -9.25 
C) 0 
D)  - 0.25 
E)  9.25

Question 5

Find the additive inverse and the multiplicative inverse of $- 14 y$ .

Accepted Answer

A) additive inverse: $- 14 y$ multiplicative inverse: $- \frac { 1 } { 14 } y$ 
B) additive inverse: $- 14 y$ multiplicative inverse: $\frac { 1 } { 14 } y$ 
C) additive inverse: $- \frac { 14 } { y }$ multiplicative inverse: 14y 
D) additive inverse: $14 y$ multiplicative inverse: $\frac { 1 } { 14 } y$ 
E) additive inverse: $14 y$ multiplicative inverse: $- \frac { 1 } { 14 y }$ 
A) additive inverse: $- 14 y$ multiplicative inverse: $- \frac { 1 } { 14 } y$ 
B) additive inverse: $- 14 y$ multiplicative inverse: $\frac { 1 } { 14 } y$ 
C) additive inverse: $- \frac { 14 } { y }$ multiplicative inverse: 14y 
D) additive inverse: $14 y$ multiplicative inverse: $\frac { 1 } { 14 } y$ 
E) additive inverse: $14 y$ multiplicative inverse: $- \frac { 1 } { 14 y }$

Question 6

Find the difference 58-18 .

Accepted Answer

A) 30 
B) 40 
C) 35 
D) 50 
E) 39 
A) 30 
B) 40 
C) 35 
D) 50 
E) 39

Question 7

Identify the property of real numbers illustrated by the statement $( 10 ) ( - 6 ) = ( - 6 ) ( 10 )$ .

Accepted Answer

A) Distributive Property 
B) Associative Property of Multiplication 
C) Commutative Property of Addition 
D) Associative Property of Addition 
E) Commutative Property of Multiplication 
A) Distributive Property 
B) Associative Property of Multiplication 
C) Commutative Property of Addition 
D) Associative Property of Addition 
E) Commutative Property of Multiplication

Question 8

Evaluate the expression $( 20 - 8 ) \div ( 11 - 5 )$ , if possible.

Accepted Answer

A)  $- \frac { 1 } { 3 }$ 
B) 4 
C)  $\frac { 157 } { 11 }$ 
D) 2 
E) not possible 
A)  $- \frac { 1 } { 3 }$ 
B) 4 
C)  $\frac { 157 } { 11 }$ 
D) 2 
E) not possible

Question 9

Plot the number 2.8 on the real number line.

Accepted Answer

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

Question 10

Perform the division $26 \div ( - 26 )$ , if possible.

Accepted Answer

A) -1 
B) 0 
C) 1 
D) -26 
E) not possible 
A) -1 
B) 0 
C) 1 
D) -26 
E) not possible

Question 11

Evaluate the expression $- 1 \frac { 4 } { 5 } - 4 \frac { 2 } { 3 }$ and write the result in simplest form.

Accepted Answer

A)  $\frac { 4 } { 15 }$ 
B)  $- \frac { 97 } { 15 }$ 
C)  $\frac { 28 } { 15 }$ 
D)  $- \frac { 28 } { 15 }$ 
E)  $\frac { 67 } { 15 }$ 
A)  $\frac { 4 } { 15 }$ 
B)  $- \frac { 97 } { 15 }$ 
C)  $\frac { 28 } { 15 }$ 
D)  $- \frac { 28 } { 15 }$ 
E)  $\frac { 67 } { 15 }$

Question 12

Evaluate the algebraic expression $\frac { x - 5 y } { x + 8 y }$ when x=8 and y=-3 .

Accepted Answer

A)  $\frac { 7 } { 16 }$ 
B)  $- \frac { 7 } { 32 }$ 
C)  $- \frac { 23 } { 16 }$ 
D)  $\frac { 23 } { 32 }$ 
E)  $- \frac { 43 } { 61 }$ 
A)  $\frac { 7 } { 16 }$ 
B)  $- \frac { 7 } { 32 }$ 
C)  $- \frac { 23 } { 16 }$ 
D)  $\frac { 23 } { 32 }$ 
E)  $- \frac { 43 } { 61 }$

Question 13

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

Accepted Answer

A)  $2 x + 30$ 
B)  $x ^ { 2 } + 30$ 
C)  $30 - x ^ { 2 }$ 
D)  $x ^ { 2 } + 18$ 
E)  $5 x + 30$ 
A)  $2 x + 30$ 
B)  $x ^ { 2 } + 30$ 
C)  $30 - x ^ { 2 }$ 
D)  $x ^ { 2 } + 18$ 
E)  $5 x + 30$

Question 14

Multiply $2 \frac { 4 } { 3 } \div 3 \frac { 2 } { 3 }$ and write the result in simplest form.

Accepted Answer

A)  $\frac { 10 } { 11 }$ 
B)  $\frac { 11 } { 10 }$ 
C)  $\frac { 17 } { 2 }$ 
D)  $\frac { 110 } { 9 }$ 
E)  $\frac { 4 } { 3 }$ 
A)  $\frac { 10 } { 11 }$ 
B)  $\frac { 11 } { 10 }$ 
C)  $\frac { 17 } { 2 }$ 
D)  $\frac { 110 } { 9 }$ 
E)  $\frac { 4 } { 3 }$

Question 15

Evaluate $4.6 + 1.764 - 8.63$ and round the answer to two decimal places.

Accepted Answer

A) 13.61 
B) -5.72 
C) -2.27 
D) -20.87 
E) -5.79 
A) 13.61 
B) -5.72 
C) -2.27 
D) -20.87 
E) -5.79

Question 16

Choose the correct expression.

Accepted Answer

A)  $| - 9 | = | 9 |$ 
B)  $| - 9 |  | 9 |$ 
A)  $| - 9 | = | 9 |$ 
B)  $| - 9 |  | 9 |$

Question 17

Subtract the fractions $\frac { 2 } { 16 } - \frac { 11 } { 16 }$ and write the result in simplest form.

Accepted Answer

A)  $- \frac { 9 } { 16 }$ 
B)  $\frac { 9 } { 0 }$ 
C)  $\frac { 13 } { 32 }$ 
D)  $- \frac { 13 } { 16 }$ 
E)  $\frac { 9 } { 16 }$ 
A)  $- \frac { 9 } { 16 }$ 
B)  $\frac { 9 } { 0 }$ 
C)  $\frac { 13 } { 32 }$ 
D)  $- \frac { 13 } { 16 }$ 
E)  $\frac { 9 } { 16 }$

Question 18

Rewrite the expression in exponential form. $9.9 .9$

Accepted Answer

A)  $3 ^ { 9 }$ 
B) 27 
C) 729 
D)  $9 ^ { 3 }$ 
E)  $3 \times 9$ 
A)  $3 ^ { 9 }$ 
B) 27 
C) 729 
D)  $9 ^ { 3 }$ 
E)  $3 \times 9$

Question 19

Translate the verbal phrase the number c is tripled and the product is increased by $10$ into an algebraic expression.

Accepted Answer

A)  $13 + c$ 
B)  $3 c - 10$ 
C)  $3 c$ 
D)  $4 c + 10$ 
E)  $3 c + 10$ 
A)  $13 + c$ 
B)  $3 c - 10$ 
C)  $3 c$ 
D)  $4 c + 10$ 
E)  $3 c + 10$

Question 20

Identify the terms in $5 x + 6$ .

Accepted Answer

A)  $5,6$ 
B)  5x 
C)  $5 x , 6$ 
D)  $x , 6$ 
E)  $5 , x , - 6$ 
A)  $5,6$ 
B)  5x 
C)  $5 x , 6$ 
D)  $x , 6$ 
E)  $5 , x , - 6$

Identify the terms of the expression that follows. $8 t ^ { 2 } + 5$

Translate the phrase into an algebraic expression. A number x divided by $120$

Use the Distributive Property to perform the arithmetic $9 ( 52 )$ mentally. For example, you work in an industry in which the wage is $14 per hour with time and a half for overtime. So, your hourly wage for overtime is $14 ( 1.5 ) = 14 \left( 1 + \frac { 1 } { 2 } \right) = 14 + 7 = \$ 21$

Evaluate $- | - 9.25 |$ .

Find the additive inverse and the multiplicative inverse of $- 14 y$ .

Find the difference 58-18 .

Identify the property of real numbers illustrated by the statement $( 10 ) ( - 6 ) = ( - 6 ) ( 10 )$ .

Evaluate the expression $( 20 - 8 ) \div ( 11 - 5 )$ , if possible.

Plot the number 2.8 on the real number line.

Perform the division $26 \div ( - 26 )$ , if possible.

Evaluate the expression $- 1 \frac { 4 } { 5 } - 4 \frac { 2 } { 3 }$ and write the result in simplest form.

Evaluate the algebraic expression $\frac { x - 5 y } { x + 8 y }$ when x=8 and y=-3 .

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

Multiply $2 \frac { 4 } { 3 } \div 3 \frac { 2 } { 3 }$ and write the result in simplest form.

Evaluate $4.6 + 1.764 - 8.63$ and round the answer to two decimal places.

Choose the correct expression.

Subtract the fractions $\frac { 2 } { 16 } - \frac { 11 } { 16 }$ and write the result in simplest form.

Rewrite the expression in exponential form. $9.9 .9$

Translate the verbal phrase the number c is tripled and the product is increased by $10$ into an algebraic expression.

Identify the terms in $5 x + 6$ .

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

Identify the terms of the expression that follows. 8t2+58 t ^ { 2 } + 58t2+5

Translate the phrase into an algebraic expression. A number x divided by 120120120

Evaluate −∣−9.25∣- | - 9.25 |−∣−9.25∣ .

Find the additive inverse and the multiplicative inverse of −14y- 14 y−14y .

Find the difference 58-18 .

Identify the property of real numbers illustrated by the statement (10)(−6)=(−6)(10)( 10 ) ( - 6 ) = ( - 6 ) ( 10 )(10)(−6)=(−6)(10) .

Evaluate the expression (20−8)÷(11−5)( 20 - 8 ) \div ( 11 - 5 )(20−8)÷(11−5) , if possible.

Plot the number 2.8 on the real number line.

Perform the division 26÷(−26)26 \div ( - 26 )26÷(−26) , if possible.

Evaluate the expression −145−423- 1 \frac { 4 } { 5 } - 4 \frac { 2 } { 3 }−154​−432​ and write the result in simplest form.

Evaluate the algebraic expression x−5yx+8y\frac { x - 5 y } { x + 8 y }x+8yx−5y​ when x=8 and y=-3 .

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

Multiply 243÷3232 \frac { 4 } { 3 } \div 3 \frac { 2 } { 3 }234​÷332​ and write the result in simplest form.

Evaluate 4.6+1.764−8.634.6 + 1.764 - 8.634.6+1.764−8.63 and round the answer to two decimal places.

Choose the correct expression.

Subtract the fractions 216−1116\frac { 2 } { 16 } - \frac { 11 } { 16 }162​−1611​ and write the result in simplest form.

Rewrite the expression in exponential form. 9.9.99.9 .99.9.9

Translate the verbal phrase the number c is tripled and the product is increased by 101010 into an algebraic expression.

Identify the terms in 5x+65 x + 65x+6 .

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

Identify the terms of the expression that follows. $8 t ^ { 2 } + 5$

Translate the phrase into an algebraic expression. A number x divided by $120$

Evaluate $- | - 9.25 |$ .

Find the additive inverse and the multiplicative inverse of $- 14 y$ .

Identify the property of real numbers illustrated by the statement $( 10 ) ( - 6 ) = ( - 6 ) ( 10 )$ .

Evaluate the expression $( 20 - 8 ) \div ( 11 - 5 )$ , if possible.

Perform the division $26 \div ( - 26 )$ , if possible.

Evaluate the expression $- 1 \frac { 4 } { 5 } - 4 \frac { 2 } { 3 }$ and write the result in simplest form.

Evaluate the algebraic expression $\frac { x - 5 y } { x + 8 y }$ when x=8 and y=-3 .

Multiply $2 \frac { 4 } { 3 } \div 3 \frac { 2 } { 3 }$ and write the result in simplest form.

Evaluate $4.6 + 1.764 - 8.63$ and round the answer to two decimal places.

Subtract the fractions $\frac { 2 } { 16 } - \frac { 11 } { 16 }$ and write the result in simplest form.

Rewrite the expression in exponential form. $9.9 .9$

Translate the verbal phrase the number c is tripled and the product is increased by $10$ into an algebraic expression.

Identify the terms in $5 x + 6$ .