Question 1

Write the fraction in lowest terms.
-$\frac { 30 } { 50 }$

Accepted Answer

A)  $\frac { 30 } { 50 }$ 
B)  $\frac { 3 } { 10 }$ 
C)  $\frac { 10 } { 5 }$ 
D)  $\frac { 3 } { 5 }$ 
A)  $\frac { 30 } { 50 }$ 
B)  $\frac { 3 } { 10 }$ 
C)  $\frac { 10 } { 5 }$ 
D)  $\frac { 3 } { 5 }$

Question 2

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the
number.
-The product of $\frac { 3 } { 5 }$ and a number increased by 9 .

Accepted Answer

A)  $9 x + \frac { 3 } { 5 }$ 
B)  $\frac { 3 } { 5 } x = 9$ 
C)  $\frac { 3 } { 5 } x - 9$ 
D)  $\frac { 3 } { 5 } x + 9$ 
A)  $9 x + \frac { 3 } { 5 }$ 
B)  $\frac { 3 } { 5 } x = 9$ 
C)  $\frac { 3 } { 5 } x - 9$ 
D)  $\frac { 3 } { 5 } x + 9$

Question 3

Graph the numbers on a number line.
-$$- 9 , - 7 , - 5 , - 3$$

Accepted Answer

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

Question 4

Write a positive or negative integer that describes the situation.
-finding 31 cents

Accepted Answer

A)  -31 
B)  31 
A)  -31 
B)  31

Question 5

Express the rational number as a decimal.
-$- \frac { 3 } { 11 }$

Accepted Answer

A)  $- 0 . \overline { 272 }$ 
B)  $- 0.27$ 
C)  $- 0 . \overline { 27 }$ 
D)  $- 0.2 \overline { 7 }$ 
A)  $- 0 . \overline { 272 }$ 
B)  $- 0.27$ 
C)  $- 0 . \overline { 27 }$ 
D)  $- 0.2 \overline { 7 }$

Question 6

Determine if the given value is a solution to the equation.
-3(w + 2) = 4(w - 1); 9

Accepted Answer

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

Question 7

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 12 } { 70 } + \frac { 11 } { 70 }$$

Accepted Answer

A)  $\frac { 24 } { 71 }$ 
B)  $\frac { 23 } { 70 }$ 
C)  $\frac { 22 } { 70 }$ 
D)  $\frac { 22 } { 69 }$ 
A)  $\frac { 24 } { 71 }$ 
B)  $\frac { 23 } { 70 }$ 
C)  $\frac { 22 } { 70 }$ 
D)  $\frac { 22 } { 69 }$

Question 8

Write the English phrase as an algebraic expression. Let the variable x represent the number.
-six less than the product of 13 and a number

Accepted Answer

A)  6x - 13 
B)  13x + 6 
C)  6 - 13x 
D)  13x - 6 
A)  6x - 13 
B)  13x + 6 
C)  6 - 13x 
D)  13x - 6

Question 9

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$\frac { 5 } { 8 } + \frac { 1 } { 8 }$

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 2 } { 4 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 4 } { 5 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 2 } { 4 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 4 } { 5 }$

Question 10

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$\frac { 2 } { 19 } \div \frac { 5 } { 16 }$

Accepted Answer

A)  $\frac { 32 } { 93 }$ 
B)  $\frac { 6 } { 19 }$ 
C)  $\frac { 31 } { 95 }$ 
D)  $\frac { 32 } { 95 }$ 
A)  $\frac { 32 } { 93 }$ 
B)  $\frac { 6 } { 19 }$ 
C)  $\frac { 31 } { 95 }$ 
D)  $\frac { 32 } { 95 }$

Question 11

Write a positive or negative integer that describes the situation.
-a hike of 180 feet down into a subterranean cave

Accepted Answer

A)  -180 
B)  180 
A)  -180 
B)  180

Question 12

Evaluate the algebraic expression for the given value(s).
-$\frac { 2 y - x + 20 } { 2 x - y } , \text { given } x = 5 , y = 3$

Accepted Answer

A)  3 
B)  21 
C)  53 
D)  1 
A)  3 
B)  21 
C)  53 
D)  1

Question 13

Graph the numbers on a number line.
-$$- 1,1,3,5$$

Accepted Answer

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

Question 14

Evaluate the algebraic expression for the given value(s).
-8 + 3x, given x = 6

Accepted Answer

A)  11 
B)  26 
C)  10 
D)  36 
A)  11 
B)  26 
C)  10 
D)  36

Question 15

Write the sentence as an equation. Let the variable x represent the number.
-The difference between 50 and a number is 10.

Accepted Answer

A)  50 + x = 10 
B)  50 - x = 10 
C)  $\frac { 50 } { x } = 10$ 
D)  x - 50 = 10 
A)  50 + x = 10 
B)  50 - x = 10 
C)  $\frac { 50 } { x } = 10$ 
D)  x - 50 = 10

Question 16

Graph the numbers on a number line.
-$$- 5.75 , - 3 , - 1,1.25$$

Accepted Answer

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

Question 17

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 2 } { 13 } \div \frac { 3 } { 13 }$$

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 6 } { 169 }$ 
C)  $\frac { 5 } { 26 }$ 
D)  $\frac { 169 } { 6 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 6 } { 169 }$ 
C)  $\frac { 5 } { 26 }$ 
D)  $\frac { 169 } { 6 }$

Question 18

Evaluate the algebraic expression for the given value(s).
-$6 x - 2 y , \text { given } x = 5 , y = 2$

Accepted Answer

A)  34 
B)  24 
C)  28 
D)  26 
A)  34 
B)  24 
C)  28 
D)  26

Question 19

Determine if the given value is a solution to the equation.
-$$\frac { 1 } { 2 } x = 10 ; 20$$

Accepted Answer

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

Question 20

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$400 \cdot \frac { 2 } { 5 }$$

Accepted Answer

A)  $\frac { 800 } { 5 }$ 
B)  140 
C)  160 
D)  $\frac { 160002 } { 5 }$ 
A)  $\frac { 800 } { 5 }$ 
B)  140 
C)  160 
D)  $\frac { 160002 } { 5 }$

Write the fraction in lowest terms. - $\frac { 30 } { 50 }$

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. -The product of $\frac { 3 } { 5 }$ and a number increased by 9 .

Graph the numbers on a number line. - $- 9 , - 7 , - 5 , - 3$

Write a positive or negative integer that describes the situation. -finding 31 cents

Express the rational number as a decimal. - $- \frac { 3 } { 11 }$

Determine if the given value is a solution to the equation. -3(w + 2) = 4(w - 1); 9

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 12 } { 70 } + \frac { 11 } { 70 }$

Write the English phrase as an algebraic expression. Let the variable x represent the number. -six less than the product of 13 and a number

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 5 } { 8 } + \frac { 1 } { 8 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 2 } { 19 } \div \frac { 5 } { 16 }$

Write a positive or negative integer that describes the situation. -a hike of 180 feet down into a subterranean cave

Evaluate the algebraic expression for the given value(s). - $\frac { 2 y - x + 20 } { 2 x - y } , \text { given } x = 5 , y = 3$

Graph the numbers on a number line. - $- 1,1,3,5$

Evaluate the algebraic expression for the given value(s). -8 + 3x, given x = 6

Write the sentence as an equation. Let the variable x represent the number. -The difference between 50 and a number is 10.

Graph the numbers on a number line. - $- 5.75 , - 3 , - 1,1.25$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 2 } { 13 } \div \frac { 3 } { 13 }$

Evaluate the algebraic expression for the given value(s). - $6 x - 2 y , \text { given } x = 5 , y = 2$

Determine if the given value is a solution to the equation. - $\frac { 1 } { 2 } x = 10 ; 20$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $400 \cdot \frac { 2 } { 5 }$

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

Write the fraction in lowest terms. - 3050\frac { 30 } { 50 }5030​

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. -The product of 35\frac { 3 } { 5 }53​ and a number increased by 9 .

Graph the numbers on a number line. - −9,−7,−5,−3- 9 , - 7 , - 5 , - 3−9,−7,−5,−3

Write a positive or negative integer that describes the situation. -finding 31 cents

Express the rational number as a decimal. - −311- \frac { 3 } { 11 }−113​

Determine if the given value is a solution to the equation. -3(w + 2) = 4(w - 1); 9

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 1270+1170\frac { 12 } { 70 } + \frac { 11 } { 70 }7012​+7011​

Write the English phrase as an algebraic expression. Let the variable x represent the number. -six less than the product of 13 and a number

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 58+18\frac { 5 } { 8 } + \frac { 1 } { 8 }85​+81​

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 219÷516\frac { 2 } { 19 } \div \frac { 5 } { 16 }192​÷165​

Write a positive or negative integer that describes the situation. -a hike of 180 feet down into a subterranean cave

Evaluate the algebraic expression for the given value(s). - 2y−x+202x−y, given x=5,y=3\frac { 2 y - x + 20 } { 2 x - y } , \text { given } x = 5 , y = 32x−y2y−x+20​, given x=5,y=3

Graph the numbers on a number line. - −1,1,3,5- 1,1,3,5−1,1,3,5

Evaluate the algebraic expression for the given value(s). -8 + 3x, given x = 6

Write the sentence as an equation. Let the variable x represent the number. -The difference between 50 and a number is 10.

Graph the numbers on a number line. - −5.75,−3,−1,1.25- 5.75 , - 3 , - 1,1.25−5.75,−3,−1,1.25

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 213÷313\frac { 2 } { 13 } \div \frac { 3 } { 13 }132​÷133​

Evaluate the algebraic expression for the given value(s). - 6x−2y, given x=5,y=26 x - 2 y , \text { given } x = 5 , y = 26x−2y, given x=5,y=2

Determine if the given value is a solution to the equation. - 12x=10;20\frac { 1 } { 2 } x = 10 ; 2021​x=10;20

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 400⋅25400 \cdot \frac { 2 } { 5 }400⋅52​

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

Write the fraction in lowest terms. - $\frac { 30 } { 50 }$

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. -The product of $\frac { 3 } { 5 }$ and a number increased by 9 .

Graph the numbers on a number line. - $- 9 , - 7 , - 5 , - 3$

Express the rational number as a decimal. - $- \frac { 3 } { 11 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 12 } { 70 } + \frac { 11 } { 70 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 5 } { 8 } + \frac { 1 } { 8 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 2 } { 19 } \div \frac { 5 } { 16 }$

Evaluate the algebraic expression for the given value(s). - $\frac { 2 y - x + 20 } { 2 x - y } , \text { given } x = 5 , y = 3$

Graph the numbers on a number line. - $- 1,1,3,5$

Graph the numbers on a number line. - $- 5.75 , - 3 , - 1,1.25$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 2 } { 13 } \div \frac { 3 } { 13 }$

Evaluate the algebraic expression for the given value(s). - $6 x - 2 y , \text { given } x = 5 , y = 2$

Determine if the given value is a solution to the equation. - $\frac { 1 } { 2 } x = 10 ; 20$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $400 \cdot \frac { 2 } { 5 }$