Question 1

Divide as indicated or state that the division is undefined.
-$$- \frac { 2 } { 3 } \div \left( - \frac { 7 } { 10 } \right)$$

Accepted Answer

A)  $\frac { 20 } { 21 }$ 
B)  $- \frac { 20 } { 21 }$ 
C)  $- \frac { 7 } { 15 }$ 
D)  $\frac { 21 } { 20 }$ 
A)  $\frac { 20 } { 21 }$ 
B)  $- \frac { 20 } { 21 }$ 
C)  $- \frac { 7 } { 15 }$ 
D)  $\frac { 21 } { 20 }$

Question 2

Express the interval in set builder notation and graph the interval on a number line.
-$$( - \infty , 8 )$$

Accepted Answer

A)  $\{ x \mid x < 8 \}$
  
B)  $\{ x \mid x < 8 \}$
  
C)  $\{ x \mid x \leq 8 \}$
  
D)  $\{ x \mid x \leq 8 \}$
  
A)  $\{ x \mid x < 8 \}$
  
B)  $\{ x \mid x < 8 \}$
  
C)  $\{ x \mid x \leq 8 \}$
  
D)  $\{ x \mid x \leq 8 \}$

Question 3

Write the English phrase as an algebraic expression. Let x represent the number.
-A number decreased by 78

Accepted Answer

A)  78x 
B)  x - 78 
C)  78 
D)  78 - x 
A)  78x 
B)  x - 78 
C)  78 
D)  78 - x

Question 4

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-What temperature was recorded at 3 p.m.?

Accepted Answer

A)  75 ° F 
B)  77 ° F 
C)  78 ° F 
D)  79 ° F 
A)  75 ° F 
B)  77 ° F 
C)  78 ° F 
D)  79 ° F

Question 5

Subtract as indicated.
-8 - (-2)

Accepted Answer

A)  6 
B)  -10 
C)  -6 
D)  10 
A)  6 
B)  -10 
C)  -6 
D)  10

Question 6

Find the absolute value.
-$| - \sqrt { 5 } |$

Accepted Answer

A)  $- \sqrt { 5 }$ 
B)  $\sqrt { 5 }$ 
C)  5 
D)  $- 5$ 
A)  $- \sqrt { 5 }$ 
B)  $\sqrt { 5 }$ 
C)  5 
D)  $- 5$

Question 7

Simplify the algebraic expression.
-$$\left[ - 6 x ^ { 2 } + \left( 7 x ^ { 2 } - 7 \right) \right] + \left[ \left( 7 x ^ { 2 } - \left( 5 - 6 x ^ { 2 } \right) \right) + 10 x ^ { 2 } \right]$$

Accepted Answer

A)  $24 x ^ { 2 } - 12$ 
B)  $- 2 x ^ { 2 } - 2$ 
C)  $- 2 x ^ { 2 } + 12$ 
D)  $- 22 x ^ { 2 } - 2$ 
A)  $24 x ^ { 2 } - 12$ 
B)  $- 2 x ^ { 2 } - 2$ 
C)  $- 2 x ^ { 2 } + 12$ 
D)  $- 22 x ^ { 2 } - 2$

Question 8

Express the interval in set builder notation and graph the interval on a number line.
-$( 2.5 , \infty )$

Accepted Answer

A) $\{ x \mid x > 2.5 \}$ B) $\{ x \mid x \geq 2.5 \}$ C) $\{ x \mid x \leq 2.5 \}$ D) $\{ x \mid x < 2.5 \}$ A) $\{ x \mid x > 2.5 \}$ B) $\{ x \mid x \geq 2.5 \}$ C) $\{ x \mid x \leq 2.5 \}$ D) $\{ x \mid x < 2.5 \}$

Question 9

Plot the point in the rectangular coordinate system.
-(1,-6)

Accepted Answer

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

Question 10

Find the absolute value.
-$- | 15 |$

Accepted Answer

A)  -30 
B)  0 
C)  15 
D)  -15 
A)  -30 
B)  0 
C)  15 
D)  -15

Question 11

Solve the problem.
-Paul has $25,000 to invest. He puts x dollars in a safe government-insured certificate of deposit paying 4% per year. He invests the remainder of the money in noninsured corporate bonds paying 12% per year. His total interest earned at the end of the year is given by the algebraic expression 0.04x + 0.12(25,000 - x). Simplify this expression.

Accepted Answer

A)  3000 - 0.08x 
B)  3000 + 0.08x 
C)  3000 + 0.16x 
D)  3000 - 0.96x 
A)  3000 - 0.08x 
B)  3000 + 0.08x 
C)  3000 + 0.16x 
D)  3000 - 0.96x

Question 12

Graph the equation.
-

Accepted Answer

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

Question 13

Find -x for the given value of x.
-$$x = \frac { 1 } { 2 }$$

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  2 
C)  0 
D)  $\frac { 1 } { 2 }$ 
A)  $- \frac { 1 } { 2 }$ 
B)  2 
C)  0 
D)  $\frac { 1 } { 2 }$

Question 14

Determine whether the statement is true or false.
-Some whole numbers are not integers.

Accepted Answer

A) True 
 B)False

Question 15

Determine whether the statement is true or false.
-Some whole numbers are not natural numbers.

Accepted Answer

A) True 
 B)False

Question 16

Use the indicated property to write an algebraic expression equivalent to the given expression.
-2 · (cz); associative

Accepted Answer

A)  (2c) ·z 
B)  2 + (cz) 
C)  (cz) ÷ 2 
D)  2 · (z + c) 
A)  (2c) ·z 
B)  2 + (cz) 
C)  (cz) ÷ 2 
D)  2 · (z + c)

Question 17

Graph the equation.
-

Accepted Answer

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

Question 18

Simplify the algebraic expression.
-$$5 x + 4 y - 9 x + 9 y$$

Accepted Answer

A)  $- 4 x + 13 y$ 
B)  $13 x - 4 y$ 
C)  $5 x - 9 x + 4 y + 9 y$ 
D)  $9 x y$ 
A)  $- 4 x + 13 y$ 
B)  $13 x - 4 y$ 
C)  $5 x - 9 x + 4 y + 9 y$ 
D)  $9 x y$

Question 19

Divide as indicated or state that the division is undefined.
-$\frac { - 168 } { 7 }$

Accepted Answer

A)  $- 24$ 
B)  $- \frac { 1 } { 24 }$ 
C)  $- 34$ 
D)  24 
A)  $- 24$ 
B)  $- \frac { 1 } { 24 }$ 
C)  $- 34$ 
D)  24

Question 20

Solve the problem.
-Mark started out by walking up a hill for 5 minutes. For the next 5 minutes he walked down a steep hill to an elevation lower than his starting point. For the next 10 minutes he walked on level ground. For the next 10 minutes he walked uphill. Determine which graph of elevation above sea level versus time illustrates the story.

Accepted Answer

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

Divide as indicated or state that the division is undefined. - $- \frac { 2 } { 3 } \div \left( - \frac { 7 } { 10 } \right)$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , 8 )$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , 8 )$

Write the English phrase as an algebraic expression. Let x represent the number. -A number decreased by 78

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -What temperature was recorded at 3 p.m.?

Subtract as indicated. -8 - (-2)

Find the absolute value. - $| - \sqrt { 5 } |$

Simplify the algebraic expression. - $\left[ - 6 x ^ { 2 } + \left( 7 x ^ { 2 } - 7 \right) \right] + \left[ \left( 7 x ^ { 2 } - \left( 5 - 6 x ^ { 2 } \right) \right) + 10 x ^ { 2 } \right]$

Express the interval in set builder notation and graph the interval on a number line. - $( 2.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - ( 2.5 , \infty )$

Plot the point in the rectangular coordinate system. -(1,-6)

Find the absolute value. - $- | 15 |$

Graph the equation. -

Find -x for the given value of x. - $x = \frac { 1 } { 2 }$

Determine whether the statement is true or false. -Some whole numbers are not integers.

Determine whether the statement is true or false. -Some whole numbers are not natural numbers.

Use the indicated property to write an algebraic expression equivalent to the given expression. -2 · (cz); associative

Graph the equation. -

Simplify the algebraic expression. - $5 x + 4 y - 9 x + 9 y$

Divide as indicated or state that the division is undefined. - $\frac { - 168 } { 7 }$

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Exam 1: Algebra, Mathematical Models, and Problem Solving

Divide as indicated or state that the division is undefined. - −23÷(−710)- \frac { 2 } { 3 } \div \left( - \frac { 7 } { 10 } \right)−32​÷(−107​)

Express the interval in set builder notation and graph the interval on a number line. - (−∞,8)( - \infty , 8 )(−∞,8)

Write the English phrase as an algebraic expression. Let x represent the number. -A number decreased by 78

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -What temperature was recorded at 3 p.m.?

Subtract as indicated. -8 - (-2)

Find the absolute value. - ∣−5∣| - \sqrt { 5 } |∣−5​∣

Simplify the algebraic expression. - [−6x2+(7x2−7)]+[(7x2−(5−6x2))+10x2]\left[ - 6 x ^ { 2 } + \left( 7 x ^ { 2 } - 7 \right) \right] + \left[ \left( 7 x ^ { 2 } - \left( 5 - 6 x ^ { 2 } \right) \right) + 10 x ^ { 2 } \right][−6x2+(7x2−7)]+[(7x2−(5−6x2))+10x2]

Express the interval in set builder notation and graph the interval on a number line. - (2.5,∞)( 2.5 , \infty )(2.5,∞)

Plot the point in the rectangular coordinate system. -(1,-6)

Find the absolute value. - −∣15∣- | 15 |−∣15∣

Graph the equation. -

Find -x for the given value of x. - x=12x = \frac { 1 } { 2 }x=21​

Determine whether the statement is true or false. -Some whole numbers are not integers.

Determine whether the statement is true or false. -Some whole numbers are not natural numbers.

Use the indicated property to write an algebraic expression equivalent to the given expression. -2 · (cz); associative

Graph the equation. -

Simplify the algebraic expression. - 5x+4y−9x+9y5 x + 4 y - 9 x + 9 y5x+4y−9x+9y

Divide as indicated or state that the division is undefined. - −1687\frac { - 168 } { 7 }7−168​

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Divide as indicated or state that the division is undefined. - $- \frac { 2 } { 3 } \div \left( - \frac { 7 } { 10 } \right)$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , 8 )$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , 8 )$

Find the absolute value. - $| - \sqrt { 5 } |$

Simplify the algebraic expression. - $\left[ - 6 x ^ { 2 } + \left( 7 x ^ { 2 } - 7 \right) \right] + \left[ \left( 7 x ^ { 2 } - \left( 5 - 6 x ^ { 2 } \right) \right) + 10 x ^ { 2 } \right]$

Express the interval in set builder notation and graph the interval on a number line. - $( 2.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - ( 2.5 , \infty )$

Find the absolute value. - $- | 15 |$

Find -x for the given value of x. - $x = \frac { 1 } { 2 }$

Simplify the algebraic expression. - $5 x + 4 y - 9 x + 9 y$

Divide as indicated or state that the division is undefined. - $\frac { - 168 } { 7 }$