Question 1

Write the phrase as a variable expression. Use x to represent "a number."
-A number divided by 60

Accepted Answer

A)   x-60 
B)  $\frac { 60 } { x }$ 
C)  $\frac { x } { 60 }$ 
D)   60x 
A)   x-60 
B)  $\frac { 60 } { x }$ 
C)  $\frac { x } { 60 }$ 
D)   60x

Question 2

Simplify. Write the answer using positive exponents only.
-$( - 3 a ) ^ { 2 }$

Accepted Answer

A)  $9 a ^ { 2 }$ 
B)  $- 6 a ^ { 2 }$ 
C)   9a 
D)   -6 a 
A)  $9 a ^ { 2 }$ 
B)  $- 6 a ^ { 2 }$ 
C)   9a 
D)   -6 a

Question 3

Name the property illustrated.
- (4+x)+z=4+(x+z)

Accepted Answer

A)  associative property of multiplication 
B)  commutative property of addition 
C)  distributive property 
D)  associative property of addition 
A)  associative property of multiplication 
B)  commutative property of addition 
C)  distributive property 
D)  associative property of addition

Question 4

Write the sentence as an equation.
-Five times the quotient of n and 11 is the opposite of 40 .

Accepted Answer

A)   $5 \left( \frac { n } { 11 } \right) = - 40$ 
B)  $5 \left( \frac { 11 } { n } \right) = 40$ 
C)   $5 \left( \frac { 11 } { n } \right) = - 40$ 
D)   $5 \left( \frac { n } { 11 } \right) = 40$ 
A)   $5 \left( \frac { n } { 11 } \right) = - 40$ 
B)  $5 \left( \frac { 11 } { n } \right) = 40$ 
C)   $5 \left( \frac { 11 } { n } \right) = - 40$ 
D)   $5 \left( \frac { n } { 11 } \right) = 40$

Question 5

Evaluate the expression.
-$8 x ^ { 0 } - ( 8 x ) ^ { 0 }$

Accepted Answer

A)  0 
B)  9 
C)  7 
D)  16 
A)  0 
B)  9 
C)  7 
D)  16

Question 6

Simplify.
--3(2x - 5) - 4x + 9

Accepted Answer

A)  2x + 24 
B)  -10x + 24 
C)  10x + 24 
D)  -10x - 6 
A)  2x + 24 
B)  -10x + 24 
C)  10x + 24 
D)  -10x - 6

Question 7

Use an associative property to write an equivalent expression.
-$( 7 \cdot 18 ) \cdot 25$

Accepted Answer

A)  $( 7 \cdot 18 ) \cdot 25$ 
B)  $7 \cdot ( 18 \cdot 25 )$ 
C)  $( 18 \cdot 7 ) \cdot 25$ 
D) $25 \cdot ( 7 \cdot 18 )$ 
A)  $( 7 \cdot 18 ) \cdot 25$ 
B)  $7 \cdot ( 18 \cdot 25 )$ 
C)  $( 18 \cdot 7 ) \cdot 25$ 
D) $25 \cdot ( 7 \cdot 18 )$

Question 8

Simplify. Write the answer using positive exponents only.
-$\left( \frac { 1 } { 5 } \right) ^ { - 4 }$

Accepted Answer

A)   -625 
B)  $\frac { 1 } { 20 }$ 
C)  $625$ 
D)  $\frac { 1 } { 625 }$ 
A)   -625 
B)  $\frac { 1 } { 20 }$ 
C)  $625$ 
D)  $\frac { 1 } { 625 }$

Question 9

List all the elements of B that belong to the given set.
-B=$\left\{ 19 , \sqrt { 7 } , - 18,0 , \frac { 0 } { 9 } , \sqrt { 4 } \right\}$
Real numbers

Accepted Answer

A)   19,-18,0 ,$\frac { 0 } { 9 }$ 
B)  $19 , \sqrt { 7 } , - 18,0 , \frac { 0 } { 9 } , \sqrt { 4 }$ 
C)  $19 , - 18,0 , \frac { 0 } { 0 } , \sqrt { 4 }$ 
D)   19,-18,0 , $\sqrt { 4 }$ 
A)   19,-18,0 ,$\frac { 0 } { 9 }$ 
B)  $19 , \sqrt { 7 } , - 18,0 , \frac { 0 } { 9 } , \sqrt { 4 }$ 
C)  $19 , - 18,0 , \frac { 0 } { 0 } , \sqrt { 4 }$ 
D)   19,-18,0 , $\sqrt { 4 }$

Question 10

Simplify and write with positive exponents only.
-$- 4 - 2$

Accepted Answer

A)   -16 
B)  16 
C)   $\frac { 1 } { 8 }$ 
D)   $\frac { 1 } { 16 }$ 
A)   -16 
B)  16 
C)   $\frac { 1 } { 8 }$ 
D)   $\frac { 1 } { 16 }$

Question 11

Write the number in standard notation.
-$2.600 \times 10 ^ { 4 }$

Accepted Answer

A)  104 
B)  2600 
C)  26,000 
D)  260,000 
A)  104 
B)  2600 
C)  26,000 
D)  260,000

Question 12

Simplify.
- 9(y+6)-5

Accepted Answer

A)   9y+1 
B)   9y+49 
C)   15 y-5 
D)   9 y+9 
A)   9y+1 
B)   9y+49 
C)   15 y-5 
D)   9 y+9

Question 13

Write the sentence as an equation.
-Negative 55 is equal to  x  divided by the sum of  x  and 7 .

Accepted Answer

A)  $- 55 = \frac { x } { x + 7 }$ 
B)  $55 = \frac { x } { x + 7 }$ 
C)   -55=x+7 
D)  $- 55 = \frac { x + 7 } { x }$ 
A)  $- 55 = \frac { x } { x + 7 }$ 
B)  $55 = \frac { x } { x + 7 }$ 
C)   -55=x+7 
D)  $- 55 = \frac { x + 7 } { x }$

Question 14

Write the sentence as an equation.
-The difference of twice  x  and 7 is the same as 15 .

Accepted Answer

A)   2 x+7=15 
B)   2 x-7=15 
C)   x-  $2 \cdot 7$  =15 
D)   7-2 x=15 
A)   2 x+7=15 
B)   2 x-7=15 
C)   x-  $2 \cdot 7$  =15 
D)   7-2 x=15

Question 15

Multiply or divide as indicated.
- -9(-9)(-1)

Accepted Answer

A)   -90 
B)   -81 
C)  81 
D)  90 
A)   -90 
B)   -81 
C)  81 
D)  90

Question 16

Write the number in scientific notation.
-In a certain city, the subway system carried a total of  1,420,000,000  passengers.

Accepted Answer

A)   14.2 x 109 
B)   1.42 x 109 
C)   1.42 x 108  
D)   1.42 x 1010 
A)   14.2 x 109 
B)   1.42 x 109 
C)   1.42 x 108  
D)   1.42 x 1010

Question 17

Write the phrase as a variable expression. Use x to represent "a number."
-35 subtracted from a number

Accepted Answer

A)  35 
B)   35 x 
C)   x-35 
D)   35- x 
A)  35 
B)   35 x 
C)   x-35 
D)   35- x

Question 18

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\frac { y ^ { 7 x + 7 } } { y ^ { 4 x } }$

Accepted Answer

A)  $y ^ { 10 x }$ 
B)  $y ^ { 3 x + 7 }$ 
C)  $y ^ { 18 x }$ 
D)  $y ^ { 11 x + 7 }$ 
A)  $y ^ { 10 x }$ 
B)  $y ^ { 3 x + 7 }$ 
C)  $y ^ { 18 x }$ 
D)  $y ^ { 11 x + 7 }$

Question 19

Multiply or divide as indicated.
- -6(-5)(0)

Accepted Answer

A)   -30 
B)  30 
C)  0 
D)  35 
A)   -30 
B)  30 
C)  0 
D)  35

Question 20

Simplify.
- -2 x+7x

Accepted Answer

A)   -14x 
B)   5x 
C)   5+x 
D)   -9x 
A)   -14x 
B)   5x 
C)   5+x 
D)   -9x

Write the phrase as a variable expression. Use x to represent "a number." -A number divided by 60

Simplify. Write the answer using positive exponents only. - $( - 3 a ) ^ { 2 }$

Name the property illustrated. - (4+x)+z=4+(x+z)

Write the sentence as an equation. -Five times the quotient of n and 11 is the opposite of 40 .

Evaluate the expression. - $8 x ^ { 0 } - ( 8 x ) ^ { 0 }$

Simplify. --3(2x - 5) - 4x + 9

Use an associative property to write an equivalent expression. - $( 7 \cdot 18 ) \cdot 25$

Simplify. Write the answer using positive exponents only. - $\left( \frac { 1 } { 5 } \right) ^ { - 4 }$

List all the elements of B that belong to the given set. -B= $\left\{ 19 , \sqrt { 7 } , - 18,0 , \frac { 0 } { 9 } , \sqrt { 4 } \right\}$ Real numbers

Simplify and write with positive exponents only. - $- 4 - 2$

Write the number in standard notation. - $2.600 \times 10 ^ { 4 }$

Simplify. - 9(y+6)-5

Write the sentence as an equation. -Negative 55 is equal to x divided by the sum of x and 7 .

Write the sentence as an equation. -The difference of twice x and 7 is the same as 15 .

Multiply or divide as indicated. - -9(-9)(-1)

Write the number in scientific notation. -In a certain city, the subway system carried a total of 1,420,000,000 passengers.

Write the phrase as a variable expression. Use x to represent "a number." -35 subtracted from a number

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\frac { y ^ { 7 x + 7 } } { y ^ { 4 x } }$

Multiply or divide as indicated. - -6(-5)(0)

Simplify. - -2 x+7x

Equations, Inequalities, and Problem Solving

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Exam 1: Real Numbers and Algebraic Expressions