Question 1

Decide whether the given number is a solution of the given equation.
-Is 6 a solution of $- x - 9 = - 15$ ?

Accepted Answer

A) True 
 B)False

Question 2

Insert  , or = to make the statement true.
-

Accepted Answer

A)  
A)

Question 3

Solve. Simplify the answer.
-Jeffrey has two packages. One weighs $2 \frac { 1 } { 4 }$ ounces, and the other weighs $\frac { 5 } { 9 }$ of an ounce. What is the total weight of the two packages?

Accepted Answer

A)  $2 \frac { 29 } { 36 } \mathrm { oz }$ 
B)  $4 \frac { 9 } { 13 }$ oz 
C)  $1 \frac { 1 } { 13 } \mathrm { oz }$ 
D)  $1 \frac { 1 } { 4 } \mathrm { oz }$ 
A)  $2 \frac { 29 } { 36 } \mathrm { oz }$ 
B)  $4 \frac { 9 } { 13 }$ oz 
C)  $1 \frac { 1 } { 13 } \mathrm { oz }$ 
D)  $1 \frac { 1 } { 4 } \mathrm { oz }$

Question 4

Evaluate the expression when x = 2, y = 1, and z = 4.
-$| 7 \mathrm { z } - 2 \mathrm { y } |$

Accepted Answer

A)  26 
B)  $- 26$ 
C)  30 
D)  24 
A)  26 
B)  $- 26$ 
C)  30 
D)  24

Question 5

Multiply.
-$( - 3 ) ( 4 ) ( - 2 ) ( - 2 )$

Accepted Answer

A)  48 
B)  $- 48$ 
C)  24 
D)  $- 3$ 
A)  48 
B)  $- 48$ 
C)  24 
D)  $- 3$

Question 6

Evaluate the expression when x = 2, y = 1, and z = 4.
-$5 x + 6$

Accepted Answer

A)  17 
B)  40 
C)  60 
D)  16 
A)  17 
B)  40 
C)  60 
D)  16

Question 7

Multiply.
-$( - 8 ) ( - 7 ) ( - 6 )$

Accepted Answer

A)  $- 236$ 
B)  336 
C)  $- 336$ 
D)  $- 346$ 
A)  $- 236$ 
B)  336 
C)  $- 336$ 
D)  $- 346$

Question 8

Evaluate the expression for the given replacement values.
-Neglecting air resistance, the expression $16 t ^ { 2 }$ gives the distance in feet an object will fall in $t$ seconds Complete the chart below.

Accepted Answer

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

Question 9

Evaluate.
-$( - 11 ) ^ { 2 }$

Accepted Answer

A)  121 
B)  $- 22$ 
C)  22 
D)  $- 121$ 
A)  121 
B)  $- 22$ 
C)  22 
D)  $- 121$

Question 10

Evaluate the expression for the given replacement values.
-$x + y z \quad x = 8 , y = - 5 , z = - 9$

Accepted Answer

A)  37 
B)  $- 27$ 
C)  $- 37$ 
D)  53 
A)  37 
B)  $- 27$ 
C)  $- 37$ 
D)  53

Question 11

Divide.
-$\frac { 0 } { - 28 }$

Accepted Answer

A)  0 
B)  1 
C)  28 
D)  undefined 
A)  0 
B)  1 
C)  28 
D)  undefined

Question 12

Solve. Simplify the answer.
-Angie is wrapping a present for her nephew. She has a roll of wrapping paper that has 13 feet of wrapping paper on the roll. She uses $8 \frac { 2 } { 3 }$ feet to wrap the present. How many feet of wrapping paper are left on the roll?

Accepted Answer

A)  $5 \frac { 1 } { 3 } \mathrm { ft }$ 
B)  $12 \frac { 1 } { 3 } \mathrm { ft }$ 
C)  $5 \frac { 2 } { 3 } \mathrm { ft }$ 
D)  $4 \frac { 1 } { 3 } \mathrm { ft }$ 
A)  $5 \frac { 1 } { 3 } \mathrm { ft }$ 
B)  $12 \frac { 1 } { 3 } \mathrm { ft }$ 
C)  $5 \frac { 2 } { 3 } \mathrm { ft }$ 
D)  $4 \frac { 1 } { 3 } \mathrm { ft }$

Question 13

Evaluate.
-$9 ^ { 4 }$

Accepted Answer

A)  6561 
B)  729 
C)  36 
D)  262,144 
A)  6561 
B)  729 
C)  36 
D)  262,144

Question 14

Write the fraction in lowest terms.
-$\frac { 3 } { 6 }$

Accepted Answer

A)  $\frac { 3 } { 6 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  $\frac { 6 } { 12 }$ 
A)  $\frac { 3 } { 6 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  $\frac { 6 } { 12 }$

Question 15

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$\frac { 1 } { 4 } ( 12 x - 8 )$

Accepted Answer

A)  $x$ 
B)  $48 x - 32$ 
C)  $3 x - 2$ 
D)  $3 x - 8$ 
A)  $x$ 
B)  $48 x - 32$ 
C)  $3 x - 2$ 
D)  $3 x - 8$

Question 16

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-$3.74$

Accepted Answer

A)  rational 
B)  natural, rational, real 
C)  real 
D)  rational, real 
A)  rational 
B)  natural, rational, real 
C)  real 
D)  rational, real

Question 17

Use a commutative property to complete the statement.
-$- 19 \cdot x =$

Accepted Answer

A)  $x - ( 19 )$ 
B)  $19 - x$ 
C)  $x \cdot ( - 19 )$ 
D)  $19 \cdot \mathrm { x }$ 
A)  $x - ( 19 )$ 
B)  $19 - x$ 
C)  $x \cdot ( - 19 )$ 
D)  $19 \cdot \mathrm { x }$

Question 18

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-$\sqrt { 17 }$

Accepted Answer

A)  irrational, real 
B)  whole, real 
C)  rational, real 
D)  integer, real 
A)  irrational, real 
B)  whole, real 
C)  rational, real 
D)  integer, real

Question 19

Subtract.
-$- 11 - ( - 7 )$

Accepted Answer

A)  18 
B)  $- 4$ 
C)  4 
D)  $- 18$ 
A)  18 
B)  $- 4$ 
C)  4 
D)  $- 18$

Question 20

Find the reciprocal or multiplicative inverse.
-$\frac { 1 } { 3 }$

Accepted Answer

A)  $- 3$ 
B)  1 
C)  3 
D)  $- \frac { 1 } { 3 }$ 
A)  $- 3$ 
B)  1 
C)  3 
D)  $- \frac { 1 } { 3 }$

Decide whether the given number is a solution of the given equation. -Is 6 a solution of $- x - 9 = - 15$ ?

Insert $< , >$ , or = to make the statement true. -

Solve. Simplify the answer. -Jeffrey has two packages. One weighs $2 \frac { 1 } { 4 }$ ounces, and the other weighs $\frac { 5 } { 9 }$ of an ounce. What is the total weight of the two packages?

Evaluate the expression when x = 2, y = 1, and z = 4. - $| 7 \mathrm { z } - 2 \mathrm { y } |$

Multiply. - $( - 3 ) ( 4 ) ( - 2 ) ( - 2 )$

Evaluate the expression when x = 2, y = 1, and z = 4. - $5 x + 6$

Multiply. - $( - 8 ) ( - 7 ) ( - 6 )$

Evaluate. - $( - 11 ) ^ { 2 }$

Evaluate the expression for the given replacement values. - $x + y z \quad x = 8 , y = - 5 , z = - 9$

Divide. - $\frac { 0 } { - 28 }$

Solve. Simplify the answer. -Angie is wrapping a present for her nephew. She has a roll of wrapping paper that has 13 feet of wrapping paper on the roll. She uses $8 \frac { 2 } { 3 }$ feet to wrap the present. How many feet of wrapping paper are left on the roll?

Evaluate. - $9 ^ { 4 }$

Write the fraction in lowest terms. - $\frac { 3 } { 6 }$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $\frac { 1 } { 4 } ( 12 x - 8 )$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $3.74$

Use a commutative property to complete the statement. - $- 19 \cdot x =$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $\sqrt { 17 }$

Subtract. - $- 11 - ( - 7 )$

Find the reciprocal or multiplicative inverse. - $\frac { 1 } { 3 }$

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers

Decide whether the given number is a solution of the given equation. -Is 6 a solution of −x−9=−15- x - 9 = - 15−x−9=−15 ?

Insert <,>< , ><,> , or = to make the statement true. -

Solve. Simplify the answer. -Jeffrey has two packages. One weighs 2142 \frac { 1 } { 4 }241​ ounces, and the other weighs 59\frac { 5 } { 9 }95​ of an ounce. What is the total weight of the two packages?

Evaluate the expression when x = 2, y = 1, and z = 4. - ∣7z−2y∣| 7 \mathrm { z } - 2 \mathrm { y } |∣7z−2y∣

Multiply. - (−3)(4)(−2)(−2)( - 3 ) ( 4 ) ( - 2 ) ( - 2 )(−3)(4)(−2)(−2)

Evaluate the expression when x = 2, y = 1, and z = 4. - 5x+65 x + 65x+6

Multiply. - (−8)(−7)(−6)( - 8 ) ( - 7 ) ( - 6 )(−8)(−7)(−6)

Evaluate the expression for the given replacement values. -Neglecting air resistance, the expression 16t216 t ^ { 2 }16t2 gives the distance in feet an object will fall in ttt seconds Complete the chart below.

Evaluate. - (−11)2( - 11 ) ^ { 2 }(−11)2

Evaluate the expression for the given replacement values. - x+yzx=8,y=−5,z=−9x + y z \quad x = 8 , y = - 5 , z = - 9x+yzx=8,y=−5,z=−9

Divide. - 0−28\frac { 0 } { - 28 }−280​

Solve. Simplify the answer. -Angie is wrapping a present for her nephew. She has a roll of wrapping paper that has 13 feet of wrapping paper on the roll. She uses 8238 \frac { 2 } { 3 }832​ feet to wrap the present. How many feet of wrapping paper are left on the roll?

Evaluate. - 949 ^ { 4 }94

Write the fraction in lowest terms. - 36\frac { 3 } { 6 }63​

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 14(12x−8)\frac { 1 } { 4 } ( 12 x - 8 )41​(12x−8)

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - 3.743.743.74

Use a commutative property to complete the statement. - −19⋅x=- 19 \cdot x =−19⋅x=

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - 17\sqrt { 17 }17​

Subtract. - −11−(−7)- 11 - ( - 7 )−11−(−7)

Find the reciprocal or multiplicative inverse. - 13\frac { 1 } { 3 }31​