Question 1

Write the sentence as an equation. Let the variable x represent the number.
-The product of 6 and a number, increased by 2, is 32.

Accepted Answer

A)  12x = 32 
B)  6x + 2 = 32 
C)  6x - 2 = 32 
D)  6(x + 2) = 32 
A)  12x = 32 
B)  6x + 2 = 32 
C)  6x - 2 = 32 
D)  6(x + 2) = 32

Question 2

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for
the situation.
-number of people in attendance at a college baseball game

Accepted Answer

A)  rational numbers 
B)  whole numbers 
C)  natural numbers 
D)  integers 
A)  rational numbers 
B)  whole numbers 
C)  natural numbers 
D)  integers

Question 3

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for
the situation.
-the number of birds a person owns

Accepted Answer

A)  integers 
B)  natural numbers 
C)  whole numbers 
D)  all real numbers 
A)  integers 
B)  natural numbers 
C)  whole numbers 
D)  all real numbers

Question 4

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$\frac { 8 } { 19 } \div \frac { 8 } { 11 }$

Accepted Answer

A)  $\frac { 10 } { 19 }$ 
B)  $\frac { 11 } { 17 }$ 
C)  $\frac { 11 } { 19 }$ 
D)  $\frac { 9 } { 19 }$ 
A)  $\frac { 10 } { 19 }$ 
B)  $\frac { 11 } { 17 }$ 
C)  $\frac { 11 } { 19 }$ 
D)  $\frac { 9 } { 19 }$

Question 5

Evaluate the algebraic expression for the given value(s).
-7x + y, given x = 3, y = 2

Accepted Answer

A)  23 
B)  19 
C)  35 
D)  12 
A)  23 
B)  19 
C)  35 
D)  12

Question 6

Write the fraction in lowest terms.
-$\frac { 22 } { 33 }$

Accepted Answer

A)  $\frac { 11 } { 3 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 22 } { 33 }$ 
D)  $\frac { 2 } { 11 }$ 
A)  $\frac { 11 } { 3 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 22 } { 33 }$ 
D)  $\frac { 2 } { 11 }$

Question 7

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 7 } { 21 } - \frac { 3 } { 21 }$$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 4 } { 21 }$ 
D)  $\frac { 4 } { 7 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 4 } { 21 }$ 
D)  $\frac { 4 } { 7 }$

Question 8

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 7 } { 19 } \div \frac { 9 } { 14 }$$

Accepted Answer

A)  $\frac { 98 } { 169 }$ 
B)  $\frac { 97 } { 171 }$ 
C)  $\frac { 32 } { 57 }$ 
D)  $\frac { 98 } { 171 }$ 
A)  $\frac { 98 } { 169 }$ 
B)  $\frac { 97 } { 171 }$ 
C)  $\frac { 32 } { 57 }$ 
D)  $\frac { 98 } { 171 }$

Question 9

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\left( 4 \frac { 1 } { 6 } \right) \left( 2 \frac { 2 } { 5 } \right)$$

Accepted Answer

A)  10 
B)  $8 \frac { 5 } { 30 }$ 
C)  11 
D)  15 
A)  10 
B)  $8 \frac { 5 } { 30 }$ 
C)  11 
D)  15

Question 10

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 5 } { 26 } + \frac { 4 } { 26 }$$

Accepted Answer

A)  $\frac { 10 } { 27 }$ 
B)  $\frac { 4 } { 13 }$ 
C)  $\frac { 9 } { 26 }$ 
D)  $\frac { 8 } { 25 }$ 
A)  $\frac { 10 } { 27 }$ 
B)  $\frac { 4 } { 13 }$ 
C)  $\frac { 9 } { 26 }$ 
D)  $\frac { 8 } { 25 }$

Question 11

Write a positive or negative integer that describes the situation.
-$3322 in debt

Accepted Answer

A)  -3322 
B)  3322 
A)  -3322 
B)  3322

Question 12

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for
the situation.
-heights of WNBA players

Accepted Answer

A)  integers 
B)  all real numbers 
C)  whole numbers 
D)  rational numbers 
A)  integers 
B)  all real numbers 
C)  whole numbers 
D)  rational numbers

Question 13

List all the elements of B that are elements of the given set.
-$B = \left\{ 4 , \sqrt { 7 } , - 2,0 , \frac { 0 } { 3 } , \sqrt { 9 } , \frac { - 3 } { 0 } , 0.16 \right\}$ Irrational numbers

Accepted Answer

A)  $\sqrt { 7 }$ 
B)  $\sqrt { 7 } , \sqrt { 9 }$ 
C)  $\sqrt { 7 } , \sqrt { 9 } , 0.16$ 
D)  $\sqrt { 7 } , \frac { - 3 } { 0 }$ 
A)  $\sqrt { 7 }$ 
B)  $\sqrt { 7 } , \sqrt { 9 }$ 
C)  $\sqrt { 7 } , \sqrt { 9 } , 0.16$ 
D)  $\sqrt { 7 } , \frac { - 3 } { 0 }$

Question 14

Insert either  in the area between the pair of numbers to make a true statement.
-$$- \frac { 10 } { 17 }\underline{\quad\quad}  - \frac { 1 } { 5 }$$

Accepted Answer

A) $>$ B) $<$ A) $>$ B) $<$

Question 15

Write the sentence as an equation. Let the variable x represent the number.
-Four times a number is equal to 25 decreased by the number.

Accepted Answer

A)  4 + x = 25 - x 
B)  4x = 25 - x 
C)  4x = x - 25 
D)  4x = 25 + x 
A)  4 + x = 25 - x 
B)  4x = 25 - x 
C)  4x = x - 25 
D)  4x = 25 + x

Question 16

Evaluate the algebraic expression for the given value(s).
-$x + 9 , \text { given } x = 2$

Accepted Answer

A)  11 
B)  7 
C)  12 
D)  18 
A)  11 
B)  7 
C)  12 
D)  18

Question 17

Determine if the given value is a solution to the equation.
-3a + 2 = 2a + 5; 3

Accepted Answer

A)  solution 
B)  not a solution 
A)  solution 
B)  not a solution

Question 18

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$28 \cdot \frac { 4 } { 7 }$

Accepted Answer

A)  16 
B)  $\frac { 197 } { 35 }$ 
C)  $\frac { 112 } { 7 }$ 
D)  20 
A)  16 
B)  $\frac { 197 } { 35 }$ 
C)  $\frac { 112 } { 7 }$ 
D)  20

Question 19

Determine if the given value is a solution to the equation.
-x + 10 = 11; 1

Accepted Answer

A)  not a solution 
B)  solution 
A)  not a solution 
B)  solution

Question 20

Write a positive or negative integer that describes the situation.
-135 feet above sea level

Accepted Answer

A)  135 
B)  -135 
A)  135 
B)  -135

Write the sentence as an equation. Let the variable x represent the number. -The product of 6 and a number, increased by 2, is 32.

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for the situation. -number of people in attendance at a college baseball game

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for the situation. -the number of birds a person owns

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 8 } { 19 } \div \frac { 8 } { 11 }$

Evaluate the algebraic expression for the given value(s). -7x + y, given x = 3, y = 2

Write the fraction in lowest terms. - $\frac { 22 } { 33 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 7 } { 21 } - \frac { 3 } { 21 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 7 } { 19 } \div \frac { 9 } { 14 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\left( 4 \frac { 1 } { 6 } \right) \left( 2 \frac { 2 } { 5 } \right)$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 5 } { 26 } + \frac { 4 } { 26 }$

Write a positive or negative integer that describes the situation. -$3322 in debt

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for the situation. -heights of WNBA players

List all the elements of B that are elements of the given set. - $B = \left\{ 4 , \sqrt { 7 } , - 2,0 , \frac { 0 } { 3 } , \sqrt { 9 } , \frac { - 3 } { 0 } , 0.16 \right\}$ Irrational numbers

Insert either < or > in the area between the pair of numbers to make a true statement. - $- \frac { 10 } { 17 }\underline{\quad\quad} - \frac { 1 } { 5 }$

Write the sentence as an equation. Let the variable x represent the number. -Four times a number is equal to 25 decreased by the number.

Evaluate the algebraic expression for the given value(s). - $x + 9 , \text { given } x = 2$

Determine if the given value is a solution to the equation. -3a + 2 = 2a + 5; 3

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $28 \cdot \frac { 4 } { 7 }$

Determine if the given value is a solution to the equation. -x + 10 = 11; 1

Write a positive or negative integer that describes the situation. -135 feet above sea level

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

Filters

Exam 1: Variables, Real Numbers, and Mathematical Models