Question 1

Solve for x. Check your answers.
--10 = x - 3

Accepted Answer

A) x = 13 
B) x = 7 
C) x = -7 
D) x = -13 
A) x = 13 
B) x = 7 
C) x = -7 
D) x = -13

Question 2

Solve.
-The inventory at AutoPlace is one-eighth the inventory at CarMart. If AutoPlace has 168 vehicles on the lot, how many vehicles does CarMart have in stock?

Accepted Answer

A) 1344 vehicles 
B) 672 vehicles 
C) 21 vehicles 
D) 176 vehicles 
A) 1344 vehicles 
B) 672 vehicles 
C) 21 vehicles 
D) 176 vehicles

Question 3

Write an algebraic expression for the quantities being compared.
-The first angle of a triangle is double the third angle. The second angle of a triangle is 34 degrees less than the third angle.

Accepted Answer

A)  first angle $= 2 x$
second angle $= x - 34$
third angle $= x$ 
B)  first angle $= x - 34$
second angle $= 2 x$
third angle $= x$ 
C)  first angle $= 2 x + 34$
second angle $= x - 34$
third angle $= x$ 
D)  first angle $= x$
second angle $= x - 34$
third angle $= 2 x$ 
A)  first angle $= 2 x$
second angle $= x - 34$
third angle $= x$ 
B)  first angle $= x - 34$
second angle $= 2 x$
third angle $= x$ 
C)  first angle $= 2 x + 34$
second angle $= x - 34$
third angle $= x$ 
D)  first angle $= x$
second angle $= x - 34$
third angle $= 2 x$

Question 4

Solve.
-Seven times a number is five. What is the number?

Accepted Answer

A)  35 
B)  $\frac { 5 } { 7 }$ 
C)  $- 2$ 
D)  $\frac { 7 } { 5 }$ 
A)  35 
B)  $\frac { 5 } { 7 }$ 
C)  $- 2$ 
D)  $\frac { 7 } { 5 }$

Question 5

Solve.
-Raymond's job pays $20 per hour for the first forty hours and $30 per hour for each hour in the week worked above the 40 hours. If he earned $980 this week, how many overtime hours did he work?

Accepted Answer

A) 46 hours 
B) 6 hours 
C) 9 hours 
D) 180 hours 
A) 46 hours 
B) 6 hours 
C) 9 hours 
D) 180 hours

Question 6

Solve.
-A motorcycle shop maintains an inventory of three times as many new bikes as used bikes. If there are 105 new bikes, how many used bikes are now in stock?

Accepted Answer

A) 53 used bikes 
B) 70 used bikes 
C) 315 used bikes 
D) 35 used bikes 
A) 53 used bikes 
B) 70 used bikes 
C) 315 used bikes 
D) 35 used bikes

Question 7

Solve.
-Molly has $5.65 in coins. She has four more nickels than dimes. She has seven fewer quarters than dimes. How many quarters does she have?

Accepted Answer

A) 15 quarters 
B) 18 quarters 
C) 22 quarters 
D) 11 quarters 
A) 15 quarters 
B) 18 quarters 
C) 22 quarters 
D) 11 quarters

Question 8

Find the value of the variable that satisfies the equation.
-2x - 3 = 9

Accepted Answer

A) x = 7 
B) x = 6 
C) x = 10 
D) x = 14 
A) x = 7 
B) x = 6 
C) x = 10 
D) x = 14

Question 9

Determine if the given solution is correct. If it is not, find the solution.
-Is $\frac { 58 } { 5 }$ the solution to $5 x = 53$

Accepted Answer

A)  yes 
B)  no; $x = 265$ 
C)  no; $x = \frac { 53 } { 5 }$ 
D)  no; $x = \frac { 5 } { 53 }$ 
A)  yes 
B)  no; $x = 265$ 
C)  no; $x = \frac { 53 } { 5 }$ 
D)  no; $x = \frac { 5 } { 53 }$

Question 10

Solve.
-A brother and sister split the $922,500 from the sale of their parent's house. According to the will, the sister was to receive 25% more than her brother, for having managed the property. How much money did the sister
Receive?

Accepted Answer

A) $512,500 
B) $3,690,000 
C) $230,625 
D) $410,000 
A) $512,500 
B) $3,690,000 
C) $230,625 
D) $410,000

Question 11

Determine whether the given solution is correct. If it is not, find the solution.
-$$x - \frac { 1 } { 2 } x - 3 = 1$$

Accepted Answer

A)  $x = 8$ 
B)  $x = - 4$ 
C)  $x = 4$ 
D)  $x = - 8$ 
A)  $x = 8$ 
B)  $x = - 4$ 
C)  $x = 4$ 
D)  $x = - 8$

Question 12

Replace the ? by .
--0.9 ? 0.9

Accepted Answer

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

Question 13

Determine if the given solution is correct. If it is not, find the solution.
-Is -11 the solution to -x = 11

Accepted Answer

A) no; x = 11 
B) yes 
C) no; x = -1 
D) no; x = 0 
A) no; x = 11 
B) yes 
C) no; x = -1 
D) no; x = 0

Question 14

Determine whether the given solution is correct. If it is not, find the solution.
-Is $- \frac { 12 } { 17 }$ the solution for $7 x + 5 = - 7 - 10 x ?$

Accepted Answer

A)  Yes 
B)  No; $x = -$ 
C)  No; $x = - \frac { 17 } { 12 }$ 
D)  $\mathrm { No } ; \mathrm { x } = \frac { 17 } { 12 }$ 
A)  Yes 
B)  No; $x = -$ 
C)  No; $x = - \frac { 17 } { 12 }$ 
D)  $\mathrm { No } ; \mathrm { x } = \frac { 17 } { 12 }$

Question 15

Solve the inequality.
-$$- 3 ( 4 x + 3 ) < - 15 x + 9$$

Accepted Answer

A)  $x $ 
D)  $x \geq$ 
A)  $x $ 
D)  $x \geq$

Question 16

Solve for x. Check your answers.
--16 = x - 14

Accepted Answer

A) x = 2 
B) x = -30 
C) x = 224 
D) x = -2 
A) x = 2 
B) x = -30 
C) x = 224 
D) x = -2

Question 17

Translate the graph to an inequality using the variable x.
-

Accepted Answer

A) $x > 5$ B) $x < 5$ C) $x \leq 5$ D) $x \geq 5$ A) $x > 5$ B) $x < 5$ C) $x \leq 5$ D) $x \geq 5$

Question 18

Find the value of the variable that satisfies the equation.
-$$- 4 x = - 11 x + 42$$

Accepted Answer

A)  $x = \frac { 1 } { 6 }$ 
B)  $x = - \frac { 21 } { 2 }$ 
C)  $x = - \frac { 14 } { 5 }$ 
D)  $x = 6$ 
A)  $x = \frac { 1 } { 6 }$ 
B)  $x = - \frac { 21 } { 2 }$ 
C)  $x = - \frac { 14 } { 5 }$ 
D)  $x = 6$

Question 19

Write an algebraic expression for the quantity. Let x represent the unknown value.
-The sum of eight times a number and seven.

Accepted Answer

A) 8(x + 7) 
B) 8x + 7 
C) 7(x + 8) 
D) 7x + 8 
A) 8(x + 7) 
B) 8x + 7 
C) 7(x + 8) 
D) 7x + 8

Question 20

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

Accepted Answer

A)  $x = - 16$ 
B)  $x = 16$ 
C)  $x = 14$ 
D)  $x = - 14$ 
A)  $x = - 16$ 
B)  $x = 16$ 
C)  $x = 14$ 
D)  $x = - 14$

Solve for x. Check your answers. --10 = x - 3

Solve. -The inventory at AutoPlace is one-eighth the inventory at CarMart. If AutoPlace has 168 vehicles on the lot, how many vehicles does CarMart have in stock?

Write an algebraic expression for the quantities being compared. -The first angle of a triangle is double the third angle. The second angle of a triangle is 34 degrees less than the third angle.

Solve. -Seven times a number is five. What is the number?

Solve. -Raymond's job pays $20 per hour for the first forty hours and $30 per hour for each hour in the week worked above the 40 hours. If he earned $980 this week, how many overtime hours did he work?

Solve. -A motorcycle shop maintains an inventory of three times as many new bikes as used bikes. If there are 105 new bikes, how many used bikes are now in stock?

Solve. -Molly has $5.65 in coins. She has four more nickels than dimes. She has seven fewer quarters than dimes. How many quarters does she have?

Find the value of the variable that satisfies the equation. -2x - 3 = 9

Determine if the given solution is correct. If it is not, find the solution. -Is $\frac { 58 } { 5 }$ the solution to $5 x = 53$

Solve. -A brother and sister split the $922,500 from the sale of their parent's house. According to the will, the sister was to receive 25% more than her brother, for having managed the property. How much money did the sister Receive?

Determine whether the given solution is correct. If it is not, find the solution. - $x - \frac { 1 } { 2 } x - 3 = 1$

Replace the ? by < or >. --0.9 ? 0.9

Determine if the given solution is correct. If it is not, find the solution. -Is -11 the solution to -x = 11

Determine whether the given solution is correct. If it is not, find the solution. -Is $- \frac { 12 } { 17 }$ the solution for $7 x + 5 = - 7 - 10 x ?$

Solve the inequality. - $- 3 ( 4 x + 3 ) < - 15 x + 9$

Solve for x. Check your answers. --16 = x - 14

Translate the graph to an inequality using the variable x. -

Find the value of the variable that satisfies the equation. - $- 4 x = - 11 x + 42$

Write an algebraic expression for the quantity. Let x represent the unknown value. -The sum of eight times a number and seven.

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

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