Question 1

Find the reciprocal or multiplicative inverse.
-$\frac { 1 } { - 0.6 }$

Accepted Answer

A)  $- 0.6$ 
B)  no reciprocal 
C)  $\frac { 1 } { 0.6 }$ 
D)  $0.6$ 
A)  $- 0.6$ 
B)  no reciprocal 
C)  $\frac { 1 } { 0.6 }$ 
D)  $0.6$

Question 2

Multiply.
-$- 18 \cdot 0$

Accepted Answer

A)  0 
B)  $- 36$ 
C)  $- 18$ 
D)  18 
A)  0 
B)  $- 36$ 
C)  $- 18$ 
D)  18

Question 3

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

Accepted Answer

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

Question 4

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-Twice a number is 13.

Accepted Answer

A)  $x + 2 = 13$ 
B)  $x = 26$ 
C)  $\frac { 1 } { 2 } x = 13$ 
D)  $2 x = 13$ 
A)  $x + 2 = 13$ 
B)  $x = 26$ 
C)  $\frac { 1 } { 2 } x = 13$ 
D)  $2 x = 13$

Question 5

Decide whether the given number is a solution of the given equation.
-Is 42 a solution of $\frac { x } { 6 } = - 7$ ?

Accepted Answer

A) True 
 B)False

Question 6

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 17 } { 90 } + \frac { 14 } { 90 }$

Accepted Answer

A)  $\frac { 32 } { 91 }$ 
B)  $\frac { 30 } { 89 }$ 
C)  $\frac { 30 } { 90 }$ 
D)  $\frac { 31 } { 90 }$ 
A)  $\frac { 32 } { 91 }$ 
B)  $\frac { 30 } { 89 }$ 
C)  $\frac { 30 } { 90 }$ 
D)  $\frac { 31 } { 90 }$

Question 7

Decide whether the given number is a solution of the given equation.
-Is $- 9$ a solution of $- x - 1 = - x - 8$ ?

Accepted Answer

A) True 
 B)False

Question 8

Use an integer to represent the value in the statement.
-$\$ 3726$ out of debt

Accepted Answer

A)  $- 3726$ 
B)  3726 
A)  $- 3726$ 
B)  3726

Question 9

Divide.
-$\frac { - 252 } { 9 }$

Accepted Answer

A)  28 
B)  $- 38$ 
C)  $- \frac { 1 } { 28 }$ 
D)  $- 28$ 
A)  28 
B)  $- 38$ 
C)  $- \frac { 1 } { 28 }$ 
D)  $- 28$

Question 10

Simplify the expression. (Remember the order of operations.)
-- 1 + 8 - 18

Accepted Answer

A)  11 
B)  9 
C)  $- 11$ 
D)  25 
A)  11 
B)  9 
C)  $- 11$ 
D)  25

Question 11

Use the distributive property to write the sum as a product.
-$20 \cdot z + 20 \cdot 5$

Accepted Answer

A)  $20 ( z + 5 )$ 
B)  $( 20 z + 100 )$ 
C)  $( 100 z )$ 
D)  $( 25 z )$ 
A)  $20 ( z + 5 )$ 
B)  $( 20 z + 100 )$ 
C)  $( 100 z )$ 
D)  $( 25 z )$

Question 12

Decide whether the given number is a solution of the given equation.
-Is 6 a solution of 8x - 3 = 75 - 5x?

Accepted Answer

A) True 
 B)False

Question 13

Solve. Simplify the answer.
-A laminated lab bench has $1 \frac { 1 } { 8 }$ inches of plywood, $1 \frac { 1 } { 5 }$ inches of pressed board, and $\frac { 1 } { 2 }$ of an inch of formica. What is the thickness of the lab bench?

Accepted Answer

A)  $\frac { 21 } { 25 } \mathrm { in }$. 
B)  $1 \frac { 4 } { 21 } \mathrm { in }$. 
C)  $\frac { 40 } { 113 } \mathrm { in }$. 
D)  $2 \frac { 33 } { 40 } \mathrm { in }$. 
A)  $\frac { 21 } { 25 } \mathrm { in }$. 
B)  $1 \frac { 4 } { 21 } \mathrm { in }$. 
C)  $\frac { 40 } { 113 } \mathrm { in }$. 
D)  $2 \frac { 33 } { 40 } \mathrm { in }$.

Question 14

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

Accepted Answer

A)  6 
B)  10 
C)  24 
D)  4 
A)  6 
B)  10 
C)  24 
D)  4

Question 15

$24 \leq 14$

Accepted Answer

A) True 
 B)False

Question 16

Subtract.
-$\frac { 8 } { 9 } - \left( - \frac { 1 } { 81 } \right)$

Accepted Answer

A)  $\frac { 73 } { 81 }$ 
B)  $\frac { 1 } { 81 }$ 
C)  $- \frac { 73 } { 81 }$ 
D)  $- \frac { 1 } { 9 }$ 
A)  $\frac { 73 } { 81 }$ 
B)  $\frac { 1 } { 81 }$ 
C)  $- \frac { 73 } { 81 }$ 
D)  $- \frac { 1 } { 9 }$

Question 17

Use a commutative property to complete the statement.
-$7 + x =$

Accepted Answer

A)  $x + 7$ 
B)  $- x - 7$ 
C)  $7 - x$ 
D)  $x - 7$ 
A)  $x + 7$ 
B)  $- x - 7$ 
C)  $7 - x$ 
D)  $x - 7$

Question 18

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-$- \sqrt { 22 }$

Accepted Answer

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

Question 19

Simplify.
-$- | 12 |$

Accepted Answer

A)  $- 12$ 
B)  $- \frac { 1 } { 12 }$ 
C)  12 
D)  0 
A)  $- 12$ 
B)  $- \frac { 1 } { 12 }$ 
C)  12 
D)  0

Question 20

Solve. Simplify the answer.
-Brian was training to run a marathon. During the three-day period before the race he decided that he would train for a total of 9 hours. If he trained for $1 \frac { 4 } { 5 }$ hours on the first day and $3 \frac { 9 } { 10 }$ hours on the second day, how many hours would he need to train on the third day?

Accepted Answer

A)  $3 \frac { 7 } { 10 } \mathrm { hr }$ 
B)  $3 \frac { 2 } { 5 } \mathrm { hr }$ 
C)  $4 \frac { 3 } { 10 } \mathrm { hr }$ 
D)  $3 \frac { 3 } { 10 } \mathrm { hr }$ 
A)  $3 \frac { 7 } { 10 } \mathrm { hr }$ 
B)  $3 \frac { 2 } { 5 } \mathrm { hr }$ 
C)  $4 \frac { 3 } { 10 } \mathrm { hr }$ 
D)  $3 \frac { 3 } { 10 } \mathrm { hr }$

Find the reciprocal or multiplicative inverse. - $\frac { 1 } { - 0.6 }$

Multiply. - $- 18 \cdot 0$

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

Write the sentence as an equation or inequality. Use x to represent any unknown number. -Twice a number is 13.

Decide whether the given number is a solution of the given equation. -Is 42 a solution of $\frac { x } { 6 } = - 7$ ?

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 17 } { 90 } + \frac { 14 } { 90 }$

Decide whether the given number is a solution of the given equation. -Is $- 9$ a solution of $- x - 1 = - x - 8$ ?

Use an integer to represent the value in the statement. - $\$ 3726$ out of debt

Divide. - $\frac { - 252 } { 9 }$

Simplify the expression. (Remember the order of operations.) -- 1 + 8 - 18

Use the distributive property to write the sum as a product. - $20 \cdot z + 20 \cdot 5$

Decide whether the given number is a solution of the given equation. -Is 6 a solution of 8x - 3 = 75 - 5x?

Solve. Simplify the answer. -A laminated lab bench has $1 \frac { 1 } { 8 }$ inches of plywood, $1 \frac { 1 } { 5 }$ inches of pressed board, and $\frac { 1 } { 2 }$ of an inch of formica. What is the thickness of the lab bench?

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

$24 \leq 14$

Subtract. - $\frac { 8 } { 9 } - \left( - \frac { 1 } { 81 } \right)$

Use a commutative property to complete the statement. - $7 + x =$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $- \sqrt { 22 }$

Simplify. - $- | 12 |$

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

Find the reciprocal or multiplicative inverse. - 1−0.6\frac { 1 } { - 0.6 }−0.61​

Multiply. - −18⋅0- 18 \cdot 0−18⋅0

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

Write the sentence as an equation or inequality. Use x to represent any unknown number. -Twice a number is 13.

Decide whether the given number is a solution of the given equation. -Is 42 a solution of x6=−7\frac { x } { 6 } = - 76x​=−7 ?

Add or subtract as indicated. Write the answer in lowest terms. - 1790+1490\frac { 17 } { 90 } + \frac { 14 } { 90 }9017​+9014​

Decide whether the given number is a solution of the given equation. -Is −9- 9−9 a solution of −x−1=−x−8- x - 1 = - x - 8−x−1=−x−8 ?

Use an integer to represent the value in the statement. - $3726\$ 3726$3726 out of debt

Divide. - −2529\frac { - 252 } { 9 }9−252​

Simplify the expression. (Remember the order of operations.) -- 1 + 8 - 18

Use the distributive property to write the sum as a product. - 20⋅z+20⋅520 \cdot z + 20 \cdot 520⋅z+20⋅5

Decide whether the given number is a solution of the given equation. -Is 6 a solution of 8x - 3 = 75 - 5x?

Solve. Simplify the answer. -A laminated lab bench has 1181 \frac { 1 } { 8 }181​ inches of plywood, 1151 \frac { 1 } { 5 }151​ inches of pressed board, and 12\frac { 1 } { 2 }21​ of an inch of formica. What is the thickness of the lab bench?

Evaluate the expression when x = 2, y = 1, and z = 4. - 6z6 z6z

24≤1424 \leq 1424≤14

Subtract. - 89−(−181)\frac { 8 } { 9 } - \left( - \frac { 1 } { 81 } \right)98​−(−811​)

Use a commutative property to complete the statement. - 7+x=7 + x =7+x=

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - −22- \sqrt { 22 }−22​

Simplify. - −∣12∣- | 12 |−∣12∣

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

Find the reciprocal or multiplicative inverse. - $\frac { 1 } { - 0.6 }$

Multiply. - $- 18 \cdot 0$

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

Decide whether the given number is a solution of the given equation. -Is 42 a solution of $\frac { x } { 6 } = - 7$ ?

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 17 } { 90 } + \frac { 14 } { 90 }$

Decide whether the given number is a solution of the given equation. -Is $- 9$ a solution of $- x - 1 = - x - 8$ ?

Use an integer to represent the value in the statement. - $\$ 3726$ out of debt

Divide. - $\frac { - 252 } { 9 }$

Use the distributive property to write the sum as a product. - $20 \cdot z + 20 \cdot 5$

Solve. Simplify the answer. -A laminated lab bench has $1 \frac { 1 } { 8 }$ inches of plywood, $1 \frac { 1 } { 5 }$ inches of pressed board, and $\frac { 1 } { 2 }$ of an inch of formica. What is the thickness of the lab bench?

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

$24 \leq 14$

Subtract. - $\frac { 8 } { 9 } - \left( - \frac { 1 } { 81 } \right)$

Use a commutative property to complete the statement. - $7 + x =$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $- \sqrt { 22 }$

Simplify. - $- | 12 |$