Question 1

Rewrite the expression in exponential form. $( - 3.6 ) ( - 3.6 ) \cdot ( - 3.6 )$

Accepted Answer

A) -11 
B)  $3 \times ( - 3.6 )$ 
C)  $3 ^ { - 3.6 }$ 
D)  $3 ^ { 3.6 }$ 
E)  $( - 3.6 ) ^ { 3 }$ 
A) -11 
B)  $3 \times ( - 3.6 )$ 
C)  $3 ^ { - 3.6 }$ 
D)  $3 ^ { 3.6 }$ 
E)  $( - 3.6 ) ^ { 3 }$

Question 2

Use an overbar symbol to rewrite the decimal $5.438438438 \ldots$ using the smallest number of digits possible.

Accepted Answer

A)  $5 . \overline { 438 }$ 
B)  $\bar{5}.4384$ 
C)  $\overline{5.438}$ 
D)  $5 . \overline { 4384 }$ 
E)  $\overline { 5 } \cdot 438$ 
A)  $5 . \overline { 438 }$ 
B)  $\bar{5}.4384$ 
C)  $\overline{5.438}$ 
D)  $5 . \overline { 4384 }$ 
E)  $\overline { 5 } \cdot 438$

Question 3

Translate the phrase into an algebraic expression. The result of increasing the product of a number x and $2$ by 5

Accepted Answer

A)  $10 x$ 
B)  $2 ( x + 5 )$ 
C)  $5 ( x + 2 )$ 
D)  $7 x$ 
E)  $2 x + 5$ 
A)  $10 x$ 
B)  $2 ( x + 5 )$ 
C)  $5 ( x + 2 )$ 
D)  $7 x$ 
E)  $2 x + 5$

Question 4

Find the additive inverse and the multiplicative inverse of 26 .

Accepted Answer

A) additive inverse: $- \frac { 1 } { 26 }$ multiplicative inverse: $\frac { 1 } { 26 }$ 
B) additive inverse: 26 multiplicative inverse: $\frac { 1 } { 26 }$ 
C) additive inverse: -26 multiplicative inverse: $\frac { 1 } { 26 }$ 
D) additive inverse: $- 26$ multiplicative inverse: $- \frac { 1 } { 26 }$ 
E) additive inverse: $26$ multiplicative inverse: $- \frac { 1 } { 26 }$ 
A) additive inverse: $- \frac { 1 } { 26 }$ multiplicative inverse: $\frac { 1 } { 26 }$ 
B) additive inverse: 26 multiplicative inverse: $\frac { 1 } { 26 }$ 
C) additive inverse: -26 multiplicative inverse: $\frac { 1 } { 26 }$ 
D) additive inverse: $- 26$ multiplicative inverse: $- \frac { 1 } { 26 }$ 
E) additive inverse: $26$ multiplicative inverse: $- \frac { 1 } { 26 }$

Question 5

The value of p pennies, n nickels, and q quarters is given by the expression $0.01 p + 0.05 n + 0.25 q$ . Evaluate this expression to find the value of $11$ pennies, $6$ nickels, and $4$ quarters. Round your answer to two decimal places.

Accepted Answer

A) $ $0.31$ 
B) $ $0.51$ 
C) $ $3.01$ 
D) $ $2.09$ 
E) $ $1.41$ 
A) $ $0.31$ 
B) $ $0.51$ 
C) $ $3.01$ 
D) $ $2.09$ 
E) $ $1.41$

Question 6

Evaluate $12 - 8 x ^ { 2 }$ at x=-2 .

Accepted Answer

A)  32 
B)  -20 
C)  28 
D)  45 
E)  50 
A)  32 
B)  -20 
C)  28 
D)  45 
E)  50

Question 7

Identify the property of algebra illustrated by the statement $( 7 x + 10 y ) + 2 z = 7 x + ( 10 y + 2 z )$ .

Accepted Answer

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

Question 8

Determine which of the numbers in the set below are integers. $\left\{ - 8,13 , \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}$

Accepted Answer

A)  $\{ - 8,13,10.5 , - 2.25 \}$ 
B)  $\left\{ - 8,13 , \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}$ 
C)  $\{ 13 \}$ 
D)  $\left\{ \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}$ 
E)  $\{ - 8,13 \}$ 
A)  $\{ - 8,13,10.5 , - 2.25 \}$ 
B)  $\left\{ - 8,13 , \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}$ 
C)  $\{ 13 \}$ 
D)  $\left\{ \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}$ 
E)  $\{ - 8,13 \}$

Question 9

Find the sum $41 + ( - 24 ) + ( - 23 )$ .

Accepted Answer

A) -6 
B) -88 
C) 40 
D) 42 
E) 88 
A) -6 
B) -88 
C) 40 
D) 42 
E) 88

Question 10

Identify the terms in $s ^ { 2 } + 5 s w + s ^ { 2 }$ .

Accepted Answer

A)  5 
B)  $s ^ { 2 } , s w , s ^ { 2 }$ 
C)  $s ^ { 2 } + 5 s w + s ^ { 2 }$ 
D)  $s ^ { 2 } , 5 s w , s ^ { 2 }$ 
E)  $S , w$ 
A)  5 
B)  $s ^ { 2 } , s w , s ^ { 2 }$ 
C)  $s ^ { 2 } + 5 s w + s ^ { 2 }$ 
D)  $s ^ { 2 } , 5 s w , s ^ { 2 }$ 
E)  $S , w$

Question 11

Evaluate $x ^ { 2 } y - x y ^ { 2 }$ at x=4 , y=3 .

Accepted Answer

A)  22 
B)  18 
C)  12 
D)  $- 24$ 
E)  $36$ 
A)  22 
B)  18 
C)  12 
D)  $- 24$ 
E)  $36$

Question 12

Find the difference $- 84 - 117$ .

Accepted Answer

A) -33 
B) 33 
C) -201 
D) 201 
E) -211 
A) -33 
B) 33 
C) -201 
D) 201 
E) -211

Question 13

Translate the phrase into an algebraic expression.
Six times a number x

Accepted Answer

A)  $x ^ { 6 }$ 
B)  $6 + x$ 
C)  $\frac { 6 } { x }$ 
D)  $6 + x ^ { 6 }$ 
E)  $6 x$ 
A)  $x ^ { 6 }$ 
B)  $6 + x$ 
C)  $\frac { 6 } { x }$ 
D)  $6 + x ^ { 6 }$ 
E)  $6 x$

Question 14

Simplify $2 \left[ 3 ( 3 y - 1 ) + 7 \left( 3 y ^ { 2 } - y + 1 \right) \right]$ .

Accepted Answer

A)  $42 y ^ { 2 } + 1$ 
B)  $42 y ^ { 2 } + 4 y + 8$ 
C)  $21 y ^ { 2 } + 11 y + 1$ 
D)  $6 y ^ { 2 } + 11 y + 6$ 
E)  $42 y ^ { 2 } + 25 y + 1$ 
A)  $42 y ^ { 2 } + 1$ 
B)  $42 y ^ { 2 } + 4 y + 8$ 
C)  $21 y ^ { 2 } + 11 y + 1$ 
D)  $6 y ^ { 2 } + 11 y + 6$ 
E)  $42 y ^ { 2 } + 25 y + 1$

Question 15

Find the difference $9 - ( - 4 )$ .

Accepted Answer

A) 6 
B) 13 
C) -5 
D) 5 
E) -13 
A) 6 
B) 13 
C) -5 
D) 5 
E) -13

Question 16

You save $53 per month for 21 years in a savings account earning 2% interest compounded monthly. The total amount in the account after 21 years will be $$53 \left[ \left( 1 + \frac { 0.02 } { 12 } \right) ^ { 252 } - 1 \right] \left( 1 + \frac { 12 } { 0.02 } \right)$$ . How much money is in the account after 21 years? Round your answer to two decimal places.

Accepted Answer

A) $48,462.10 
B) $13,641.56 
C) $16,609.10 
D) $14,867.44 
E) $34,698.81 
A) $48,462.10 
B) $13,641.56 
C) $16,609.10 
D) $14,867.44 
E) $34,698.81

Question 17

Combine like terms to simplify the expression $z ^ { 3 } + 4 z ^ { 2 } + z + z ^ { 2 } + 6 z + 1$.

Accepted Answer

A)  $14 z ^ { 9 }$ 
B)  $z ^ { 3 } + 13 z ^ { 2 }$ 
C)  $z ^ { 3 } + 5 z ^ { 2 } + 7 z + 1$ 
D)  $13 z ^ { 9 } + 1$ 
E)  $z ^ { 3 } + 12 z ^ { 2 } + 1$ 
A)  $14 z ^ { 9 }$ 
B)  $z ^ { 3 } + 13 z ^ { 2 }$ 
C)  $z ^ { 3 } + 5 z ^ { 2 } + 7 z + 1$ 
D)  $13 z ^ { 9 } + 1$ 
E)  $z ^ { 3 } + 12 z ^ { 2 } + 1$

Question 18

Identify the property of algebra illustrated by the statement $- 9 x ( y + z ) = - 9 x y - 9 x z$.

Accepted Answer

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

Question 19

Evaluate the algebraic expression $8 x - 10$ when $x = \frac { 5 } { 8 }$ .

Accepted Answer

A)  30 
B)  -30 
C)  0 
D)  5 
E)  -5 
A)  30 
B)  -30 
C)  0 
D)  5 
E)  -5

Question 20

What is the multiplicative inverse of $- 6 z , z \neq 0$?

Accepted Answer

A)  $- \frac { 1 } { 6 }$ 
B)  6z 
C)  -6z 
D)  $- \frac { 1 } { 6 z }$ 
E)  $\frac { 1 } { 6 z }$ 
A)  $- \frac { 1 } { 6 }$ 
B)  6z 
C)  -6z 
D)  $- \frac { 1 } { 6 z }$ 
E)  $\frac { 1 } { 6 z }$

Rewrite the expression in exponential form. $( - 3.6 ) ( - 3.6 ) \cdot ( - 3.6 )$

Use an overbar symbol to rewrite the decimal $5.438438438 \ldots$ using the smallest number of digits possible.

Translate the phrase into an algebraic expression. The result of increasing the product of a number x and $2$ by 5

Find the additive inverse and the multiplicative inverse of 26 .

The value of p pennies, n nickels, and q quarters is given by the expression $0.01 p + 0.05 n + 0.25 q$ . Evaluate this expression to find the value of $11$ pennies, $6$ nickels, and $4$ quarters. Round your answer to two decimal places.

Evaluate $12 - 8 x ^ { 2 }$ at x=-2 .

Identify the property of algebra illustrated by the statement $( 7 x + 10 y ) + 2 z = 7 x + ( 10 y + 2 z )$ .

Determine which of the numbers in the set below are integers. $\left\{ - 8,13 , \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}$

Find the sum $41 + ( - 24 ) + ( - 23 )$ .

Identify the terms in $s ^ { 2 } + 5 s w + s ^ { 2 }$ .

Evaluate $x ^ { 2 } y - x y ^ { 2 }$ at x=4 , y=3 .

Find the difference $- 84 - 117$ .

Translate the phrase into an algebraic expression. Six times a number x

Simplify $2 \left[ 3 ( 3 y - 1 ) + 7 \left( 3 y ^ { 2 } - y + 1 \right) \right]$ .

Find the difference $9 - ( - 4 )$ .

Combine like terms to simplify the expression $z ^ { 3 } + 4 z ^ { 2 } + z + z ^ { 2 } + 6 z + 1$ .

Identify the property of algebra illustrated by the statement $- 9 x ( y + z ) = - 9 x y - 9 x z$ .

Evaluate the algebraic expression $8 x - 10$ when $x = \frac { 5 } { 8 }$ .

What is the multiplicative inverse of $- 6 z , z \neq 0$ ?

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 the expression in exponential form. (−3.6)(−3.6)⋅(−3.6)( - 3.6 ) ( - 3.6 ) \cdot ( - 3.6 )(−3.6)(−3.6)⋅(−3.6)

Use an overbar symbol to rewrite the decimal 5.438438438…5.438438438 \ldots5.438438438… using the smallest number of digits possible.

Translate the phrase into an algebraic expression. The result of increasing the product of a number x and 222 by 5

Find the additive inverse and the multiplicative inverse of 26 .

The value of p pennies, n nickels, and q quarters is given by the expression 0.01p+0.05n+0.25q0.01 p + 0.05 n + 0.25 q0.01p+0.05n+0.25q . Evaluate this expression to find the value of 111111 pennies, 666 nickels, and 444 quarters. Round your answer to two decimal places.

Evaluate 12−8x212 - 8 x ^ { 2 }12−8x2 at x=-2 .

Identify the property of algebra illustrated by the statement (7x+10y)+2z=7x+(10y+2z)( 7 x + 10 y ) + 2 z = 7 x + ( 10 y + 2 z )(7x+10y)+2z=7x+(10y+2z) .

Determine which of the numbers in the set below are integers. {−8,13,25,10.5,−2.25}\left\{ - 8,13 , \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}{−8,13,52​,10.5,−2.25}

Find the sum 41+(−24)+(−23)41 + ( - 24 ) + ( - 23 )41+(−24)+(−23) .

Identify the terms in s2+5sw+s2s ^ { 2 } + 5 s w + s ^ { 2 }s2+5sw+s2 .

Evaluate x2y−xy2x ^ { 2 } y - x y ^ { 2 }x2y−xy2 at x=4 , y=3 .

Find the difference −84−117- 84 - 117−84−117 .

Translate the phrase into an algebraic expression. Six times a number x

Simplify 2[3(3y−1)+7(3y2−y+1)]2 \left[ 3 ( 3 y - 1 ) + 7 \left( 3 y ^ { 2 } - y + 1 \right) \right]2[3(3y−1)+7(3y2−y+1)] .

Find the difference 9−(−4)9 - ( - 4 )9−(−4) .

Combine like terms to simplify the expression z3+4z2+z+z2+6z+1z ^ { 3 } + 4 z ^ { 2 } + z + z ^ { 2 } + 6 z + 1z3+4z2+z+z2+6z+1 .

Identify the property of algebra illustrated by the statement −9x(y+z)=−9xy−9xz- 9 x ( y + z ) = - 9 x y - 9 x z−9x(y+z)=−9xy−9xz .

Evaluate the algebraic expression 8x−108 x - 108x−10 when x=58x = \frac { 5 } { 8 }x=85​ .

What is the multiplicative inverse of −6z,z≠0- 6 z , z \neq 0−6z,z=0 ?

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 the expression in exponential form. $( - 3.6 ) ( - 3.6 ) \cdot ( - 3.6 )$

Use an overbar symbol to rewrite the decimal $5.438438438 \ldots$ using the smallest number of digits possible.

Translate the phrase into an algebraic expression. The result of increasing the product of a number x and $2$ by 5

The value of p pennies, n nickels, and q quarters is given by the expression $0.01 p + 0.05 n + 0.25 q$ . Evaluate this expression to find the value of $11$ pennies, $6$ nickels, and $4$ quarters. Round your answer to two decimal places.

Evaluate $12 - 8 x ^ { 2 }$ at x=-2 .

Identify the property of algebra illustrated by the statement $( 7 x + 10 y ) + 2 z = 7 x + ( 10 y + 2 z )$ .

Determine which of the numbers in the set below are integers. $\left\{ - 8,13 , \frac { 2 } { 5 } , 10.5 , - 2.25 \right\}$

Find the sum $41 + ( - 24 ) + ( - 23 )$ .

Identify the terms in $s ^ { 2 } + 5 s w + s ^ { 2 }$ .

Evaluate $x ^ { 2 } y - x y ^ { 2 }$ at x=4 , y=3 .

Find the difference $- 84 - 117$ .

Simplify $2 \left[ 3 ( 3 y - 1 ) + 7 \left( 3 y ^ { 2 } - y + 1 \right) \right]$ .

Find the difference $9 - ( - 4 )$ .

Combine like terms to simplify the expression $z ^ { 3 } + 4 z ^ { 2 } + z + z ^ { 2 } + 6 z + 1$ .

Identify the property of algebra illustrated by the statement $- 9 x ( y + z ) = - 9 x y - 9 x z$ .

Evaluate the algebraic expression $8 x - 10$ when $x = \frac { 5 } { 8 }$ .

What is the multiplicative inverse of $- 6 z , z \neq 0$ ?