Question 1

Solve for the variable
-$$\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 3$$

Accepted Answer

A)  $x = - 45$ 
B)  $x = 45$ 
C)  $x = 90$ 
D)  $x = - 90$ 
A)  $x = - 45$ 
B)  $x = 45$ 
C)  $x = 90$ 
D)  $x = - 90$

Question 2

Solve for x. Be sure to reduce your answer. Check your solution.
--8x = -32

Accepted Answer

A) x = 2 
B) x = 24 
C) x = 4 
D) x = -24 
A) x = 2 
B) x = 24 
C) x = 4 
D) x = -24

Question 3

Solve.
-A newspaper carrier has $2.30 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Accepted Answer

A) 5 quarters, 3 dimes, 15 nickels 
B) 15 quarters, 13 dimes, 5 nickels 
C) 7 quarters, 5 dimes, 21 nickels 
D) 5 quarters, 7 dimes, 15 nickels 
A) 5 quarters, 3 dimes, 15 nickels 
B) 15 quarters, 13 dimes, 5 nickels 
C) 7 quarters, 5 dimes, 21 nickels 
D) 5 quarters, 7 dimes, 15 nickels

Question 4

Translate the English statement into an inequality.
-The speed of the bike is more than 16 mph. (Use the variable s for the speed.)

Accepted Answer

A) $s > 16$ B) $s < 16$ C) $s \leq 16$ D) $s \geq 16$ eed of the bike is more than 16 mph. (Use the variable s for the speed.) A) $s > 16$ B) $s < 16$ C) $s \leq 16$ D) $s \geq 16$ eed of the bike is more than 16 mph. (Use the variable s for the speed.)

Question 5

Write an algebraic expression for the quantities being compared.
-The length of a rectangle is 28 feet more than double the width.

Accepted Answer

A)  $2 w - 28 =$ length of rectangle
$\mathrm { w } =$ width of rectangle 
B)  $2 l - 28 =$ width of rectangle
$l =$ length of rectangle 
C)  $2 l + 28 =$ width of rectangle
$\ell =$ length of rectangle 
D)  $2 w + 28 =$ length of rectangle
$\mathrm { w } =$ width of rectangle 
A)  $2 w - 28 =$ length of rectangle
$\mathrm { w } =$ width of rectangle 
B)  $2 l - 28 =$ width of rectangle
$l =$ length of rectangle 
C)  $2 l + 28 =$ width of rectangle
$\ell =$ length of rectangle 
D)  $2 w + 28 =$ length of rectangle
$\mathrm { w } =$ width of rectangle

Question 6

Translate the English statement into an inequality.
-The cost of shoes must be less than $92. (Use the variable c for the cost.)

Accepted Answer

A) $c > 92$ B) $c \leq 92$ C) $c < 92$ D) $c \geq 92$ A) $c > 92$ B) $c \leq 92$ C) $c < 92$ D) $c \geq 92$

Question 7

Solve the inequality.
-$$18 x + 15 \leq 3 ( 5 x - 3 )$$

Accepted Answer

A)  $x  - 8$ 
A)  $x  - 8$

Question 8

Solve.
-A college student earned $5200 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 10% and the rest at 7%. If the student received a total of $445 in interest at
The end of the year, how much was invested at 10%?

Accepted Answer

A) $2700 
B) $742 
C) $2500 
D) $2600 
A) $2700 
B) $742 
C) $2500 
D) $2600

Question 9

Solve the inequality.
-$$\frac { 7 } { 18 } ( x + 2 ) > \frac { 1 } { 6 } ( x + 5 )$$

Accepted Answer

A) $x > - 0.25$ B) $x $ D) $x < - 0.25$ A) $x > - 0.25$ B) $x $ D) $x < - 0.25$

Question 10

Solve for the variable
-$$\frac { 2 } { 5 } y - 3 = \frac { 1 } { 3 } y$$

Accepted Answer

A)  $y = 90$ 
B)  $y = - 45$ 
C)  $y = 45$ 
D)  $y = - 90$ 
A)  $y = 90$ 
B)  $y = - 45$ 
C)  $y = 45$ 
D)  $y = - 90$

Question 11

Solve.
-Keema cashed her paycheck and came home from the bank with $3220 in bills of the following denominations: hundreds, twenties, and fives. She has eight times as many fives as twenties and five more hundreds as
Twenties. How many of each denomination does she have?

Accepted Answer

A) 23 hundreds, 17 twenties, 136 fives 
B) 24 hundreds, 17 twenties, 128 fives 
C) 22 hundreds, 17 twenties, 136 fives 
D) 22 hundreds, 18 twenties, 132 fives 
A) 23 hundreds, 17 twenties, 136 fives 
B) 24 hundreds, 17 twenties, 128 fives 
C) 22 hundreds, 17 twenties, 136 fives 
D) 22 hundreds, 18 twenties, 132 fives

Question 12

Graph the inequality on the number line.
-$$x > - 4$$

Accepted Answer

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

Question 13

Solve the inequality. Graph the results.
-x - 11 < -5

Accepted Answer

A)  $x $ 
  
A)  $x $

Question 14

Determine whether the given solution is correct. If it is not, find the solution.
-$$\frac { 1 } { 5 } ( x + 6 ) = \frac { 1 } { 6 } ( x + 8 )$$

Accepted Answer

A)  $x =$ 
B)  $x = - 12$ 
C)  $x = 3$ 
D)  $x = - 4$ 
A)  $x =$ 
B)  $x = - 12$ 
C)  $x = 3$ 
D)  $x = - 4$

Question 15

Write an algebraic expression for the quantities being compared.
-At Dave's Deli, the reuben sandwich cost $1.65 more than the turkey sandwich.

Accepted Answer

A)  $x - 1.65 =$ the cost of the reuben sandwich
$x =$ the cost of the turkey sandwich 
B)  $x + 1.65 =$ the cost of the reuben sandwich
$x =$ the cost of the turkey sandwich 
C)  $1.65 - x =$ the cost of the turkey sandwich
$x =$ the cost of the reuben sandwich 
D)  $1.65 - x =$ the cost of the reuben sandwich
$x =$ the cost of the turkey sandwich 
A)  $x - 1.65 =$ the cost of the reuben sandwich
$x =$ the cost of the turkey sandwich 
B)  $x + 1.65 =$ the cost of the reuben sandwich
$x =$ the cost of the turkey sandwich 
C)  $1.65 - x =$ the cost of the turkey sandwich
$x =$ the cost of the reuben sandwich 
D)  $1.65 - x =$ the cost of the reuben sandwich
$x =$ the cost of the turkey sandwich

Question 16

Solve for the variable
-$$- 8.8 + 5 x - 6.1 + 3 x - 2.3 = 5.1 + 9 x + 1.8$$

Accepted Answer

A)  $x = 10.3$ 
B)  $x = - 10.3$ 
C)  $x = 24.1$ 
D)  $x = - 24.1$ 
A)  $x = 10.3$ 
B)  $x = - 10.3$ 
C)  $x = 24.1$ 
D)  $x = - 24.1$

Question 17

Find the value of x that satisfies the equation.
-8.3 = 15 - x

Accepted Answer

A) x = 23.3 
B) x = 22.8 
C) x = 6.2 
D) x = 6.7 
A) x = 23.3 
B) x = 22.8 
C) x = 6.2 
D) x = 6.7

Question 18

Determine whether the given solution is correct. If it is not, find the solution.
-$$\frac { - 6 x + 5 } { 4 } + 1 = - \frac { 7 x } { 3 }$$

Accepted Answer

A)  $x = - \frac { 3 } { 10 }$ 
B)  $x = \frac { 3 } { 10 }$ 
C)  $x = \frac { 27 } { 46 }$ 
D)  $x = - \frac { 27 } { 10 }$ 
A)  $x = - \frac { 3 } { 10 }$ 
B)  $x = \frac { 3 } { 10 }$ 
C)  $x = \frac { 27 } { 46 }$ 
D)  $x = - \frac { 27 } { 10 }$

Question 19

Solve.
-When six is subtracted from one-fourth of a number the result is 36. What is the original number?

Accepted Answer

A) 120 
B) 150 
C) 138 
D) 168 
A) 120 
B) 150 
C) 138 
D) 168

Question 20

Find the value of the variable that satisfies the equation.
-$$5 x + 10 = 1 - 2 x$$

Accepted Answer

A)  $x = \frac { 7 } { 9 }$ 
B)  $x = - \frac { 9 } { 7 }$ 
C)  $x =ـــ$ 
D)  $x = - \frac { 7 } { 9 }$ 
A)  $x = \frac { 7 } { 9 }$ 
B)  $x = - \frac { 9 } { 7 }$ 
C)  $x =ـــ$ 
D)  $x = - \frac { 7 } { 9 }$

Solve for the variable - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 3$

Solve for x. Be sure to reduce your answer. Check your solution. --8x = -32

Solve. -A newspaper carrier has $2.30 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Translate the English statement into an inequality. -The speed of the bike is more than 16 mph. (Use the variable s for the speed.)

Write an algebraic expression for the quantities being compared. -The length of a rectangle is 28 feet more than double the width.

Translate the English statement into an inequality. -The cost of shoes must be less than $92. (Use the variable c for the cost.)

Solve the inequality. - $18 x + 15 \leq 3 ( 5 x - 3 )$

Solve. -A college student earned $5200 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 10% and the rest at 7%. If the student received a total of $445 in interest at The end of the year, how much was invested at 10%?

Solve the inequality. - $\frac { 7 } { 18 } ( x + 2 ) > \frac { 1 } { 6 } ( x + 5 )$

Solve for the variable - $\frac { 2 } { 5 } y - 3 = \frac { 1 } { 3 } y$

Solve. -Keema cashed her paycheck and came home from the bank with $3220 in bills of the following denominations: hundreds, twenties, and fives. She has eight times as many fives as twenties and five more hundreds as Twenties. How many of each denomination does she have?

Graph the inequality on the number line. - $x > - 4$

Solve the inequality. Graph the results. -x - 11 < -5

Determine whether the given solution is correct. If it is not, find the solution. - $\frac { 1 } { 5 } ( x + 6 ) = \frac { 1 } { 6 } ( x + 8 )$

Write an algebraic expression for the quantities being compared. -At Dave's Deli, the reuben sandwich cost $1.65 more than the turkey sandwich.

Solve for the variable - $- 8.8 + 5 x - 6.1 + 3 x - 2.3 = 5.1 + 9 x + 1.8$

Find the value of x that satisfies the equation. -8.3 = 15 - x

Determine whether the given solution is correct. If it is not, find the solution. - $\frac { - 6 x + 5 } { 4 } + 1 = - \frac { 7 x } { 3 }$

Solve. -When six is subtracted from one-fourth of a number the result is 36. What is the original number?

Find the value of the variable that satisfies the equation. - $5 x + 10 = 1 - 2 x$

Real Numbers and Variables

Graphing and Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 2: Equations, Inequalities, and Applications

Solve for the variable - 25x−13x=3\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 352​x−31​x=3