Question 1

Find the value of x that satisfies the equation.
-$$\frac { 3 } { 8 } - \frac { 1 } { 2 } = x - \frac { 3 } { 16 }$$

Accepted Answer

A)  $x = - \frac { 5 } { 16 }$ 
B)  $x = \frac { 7 } { 32 }$ 
C)  $x = \frac { 17 } { 16 }$ 
D)  $x = \frac { 1 } { 16 }$ 
A)  $x = - \frac { 5 } { 16 }$ 
B)  $x = \frac { 7 } { 32 }$ 
C)  $x = \frac { 17 } { 16 }$ 
D)  $x = \frac { 1 } { 16 }$

Question 2

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

Accepted Answer

A)  $x \leq$ 
B)  $x $ 
A)  $x \leq$ 
B)  $x $

Question 3

Solve.
-If $14,000 is invested at 10% simple annual interest, how much should be invested at 12% annual simple interest so that the total yearly income from both investments is $5000?

Accepted Answer

A) $3320 
B) $30,000 
C) $33,200 
D) $3000 
A) $3320 
B) $30,000 
C) $33,200 
D) $3000

Question 4

Graph the inequality on the number line.
-x < 2

Accepted Answer

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

Question 5

Solve.
-How can $28,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts is equal at the end of the year?

Accepted Answer

A) $18,000 invested at 4%; $10,000 invested at 10% 
B) $10,000 invested at 4%; $18,000 invested at 10% 
C) $20,000 invested at 4%; $8000 invested at 10% 
D) $8000 invested at 4%; $20,000 invested at 10% 
A) $18,000 invested at 4%; $10,000 invested at 10% 
B) $10,000 invested at 4%; $18,000 invested at 10% 
C) $20,000 invested at 4%; $8000 invested at 10% 
D) $8000 invested at 4%; $20,000 invested at 10%

Question 6

Solve.
-What number added to 330 gives 729?

Accepted Answer

A) -1059 
B) 1059 
C) 399 
D) -399 
A) -1059 
B) 1059 
C) 399 
D) -399

Question 7

Find the value of x that satisfies the equation.
-2.9 = 21.6 - x

Accepted Answer

A) x = 24 
B) x = 18.2 
C) x = 24.5 
D) x = 18.7 
A) x = 24 
B) x = 18.2 
C) x = 24.5 
D) x = 18.7

Question 8

Solve.
-Logan bought stocks and later sold them for $1,081,600, making a profit of 4%. How much did he pay for the stocks?

Accepted Answer

A) $1,040,000 
B) $43,264 
C) $41,600 
D) $2.704e+09 
A) $1,040,000 
B) $43,264 
C) $41,600 
D) $2.704e+09

Question 9

Solve.
-Libby's 4 quiz scores in her math class are 86, 91, 81, and 86. What score does she need to obtain on her next quiz to average an 85? Round to the nearest whole number if necessary.

Accepted Answer

A) 84 
B) 82 
C) 67 
D) 81 
A) 84 
B) 82 
C) 67 
D) 81

Question 10

Write an algebraic expression for the quantities being compared.
-The attendance on Monday was 43 people more than on Tuesday. The attendance on Wednesday was 44 people fewer than on Tuesday.

Accepted Answer

A)  $ x+43= $ attendance on Monday 
$ x+44= $ attendance on Tuesday
 $ x= $ attendance on Wednesday 
B)  $ x+43= $ attendance on Monday 
$ x= $ attendance on Tuesday 
$ x-44= $ attendance on Wednesday 
C)  $ x-44= $ attendance on Monday
 $ x= $ attendance on Tuesday 
$ x+43= $ attendance on Wednesday 
D)  $ \quad x= $ attendance on Monday
$ x+43= $ attendance on Tuesday
$ x-44= $ attendance on Wednesday 
A)  $ x+43= $ attendance on Monday 
$ x+44= $ attendance on Tuesday
 $ x= $ attendance on Wednesday 
B)  $ x+43= $ attendance on Monday 
$ x= $ attendance on Tuesday 
$ x-44= $ attendance on Wednesday 
C)  $ x-44= $ attendance on Monday
 $ x= $ attendance on Tuesday 
$ x+43= $ attendance on Wednesday 
D)  $ \quad x= $ attendance on Monday
$ x+43= $ attendance on Tuesday
$ x-44= $ attendance on Wednesday

Question 11

Solve.
-Amy charges $140 plus $35 an hour to do a friend's taxes. If her friend's total bill was $350, how many hours did Amy spend doing the taxes?

Accepted Answer

A) 4 hours 
B) 14 hours 
C) 6 hours 
D) 350 hours 
A) 4 hours 
B) 14 hours 
C) 6 hours 
D) 350 hours

Question 12

Solve for x. Be sure to reduce your answer. Check your solution.
-$$\frac { x } { 4 } = 5$$

Accepted Answer

A)  $x = 9$ 
B)  $x = 1$ 
C)  $x = 20$ 
D)  $x = 8$ 
A)  $x = 9$ 
B)  $x = 1$ 
C)  $x = 20$ 
D)  $x = 8$

Question 13

Find the value of the variable that satisfies the equation.
-4x + x = 45

Accepted Answer

A)  $x = 9$ 
B)  $x = 8$ 
C)  $x = \frac { 45 } { 4 }$ 
D)  $x = \frac { 23 } { 2 }$ 
A)  $x = 9$ 
B)  $x = 8$ 
C)  $x = \frac { 45 } { 4 }$ 
D)  $x = \frac { 23 } { 2 }$

Question 14

Solve for the variable
-3x + 7.3 = 16.3

Accepted Answer

A) x = 10 
B) x = 6 
C) x = 3 
D) x = 1 
A) x = 10 
B) x = 6 
C) x = 3 
D) x = 1

Question 15

Solve for the variable
-$$4 ( 2 x - 2 ) = 7 ( x + 4 )$$

Accepted Answer

A)  $x = - 20$ 
B)  $x = 24$ 
C)  $x = 20$ 
D)  $x = 36$ 
A)  $x = - 20$ 
B)  $x = 24$ 
C)  $x = 20$ 
D)  $x = 36$

Question 16

Find the value of the variable that satisfies the equation.
--10x + x = -36

Accepted Answer

A) x = -4 
B) x = 4 
C) x = 5 
D) x = -5 
A) x = -4 
B) x = 4 
C) x = 5 
D) x = -5

Question 17

Solve.
-Charlotte invested $6000 in money market funds. Part was invested at 15% interest, the rest at 11% interest. At the end of each year the fund company pays interest. After one year she earned $764 in simple interest. How
Much was invested at each interest rate?

Accepted Answer

A) $2400 at 11%; 
B) $2600 at 11%; 
C) $2600 at 15%; 
D) $2400 at 15%; $3600 at 15% $3400 at 15% $3400 at 11% $3600 at 11% 
A) $2400 at 11%; 
B) $2600 at 11%; 
C) $2600 at 15%; 
D) $2400 at 15%; $3600 at 15% $3400 at 15% $3400 at 11% $3600 at 11%

Question 18

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

Accepted Answer

A) $x \geq - 9$ B) $x \leq - 9$ C) $x > - 9$ D) $x < - 9$ A) $x \geq - 9$ B) $x \leq - 9$ C) $x > - 9$ D) $x < - 9$

Question 19

Solve the inequality. Graph the results.
-$$13 x + 3 \geq 12 x + 5$$

Accepted Answer

A)  $x \leq$
  
B)  $x  13$
  
D)  $x \geq\
  
A)  \(x \leq$
  
B)  $x  13$
  
D)  \(x \geq\

Question 20

Solve.
-A consultant charges $100 plus $25 an hour. How many hours did the consultant work if the total bill were $475?

Accepted Answer

A) 15 hours 
B) 4 hours 
C) 19 hours 
D) 375 hours 
A) 15 hours 
B) 4 hours 
C) 19 hours 
D) 375 hours

Find the value of x that satisfies the equation. - $\frac { 3 } { 8 } - \frac { 1 } { 2 } = x - \frac { 3 } { 16 }$

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

Solve. -If $14,000 is invested at 10% simple annual interest, how much should be invested at 12% annual simple interest so that the total yearly income from both investments is $5000?

Graph the inequality on the number line. -x < 2

Solve. -How can $28,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts is equal at the end of the year?

Solve. -What number added to 330 gives 729?

Find the value of x that satisfies the equation. -2.9 = 21.6 - x

Solve. -Logan bought stocks and later sold them for $1,081,600, making a profit of 4%. How much did he pay for the stocks?

Solve. -Libby's 4 quiz scores in her math class are 86, 91, 81, and 86. What score does she need to obtain on her next quiz to average an 85? Round to the nearest whole number if necessary.

Write an algebraic expression for the quantities being compared. -The attendance on Monday was 43 people more than on Tuesday. The attendance on Wednesday was 44 people fewer than on Tuesday.

Solve. -Amy charges $140 plus $35 an hour to do a friend's taxes. If her friend's total bill was $350, how many hours did Amy spend doing the taxes?

Solve for x. Be sure to reduce your answer. Check your solution. - $\frac { x } { 4 } = 5$

Find the value of the variable that satisfies the equation. -4x + x = 45

Solve for the variable -3x + 7.3 = 16.3

Solve for the variable - $4 ( 2 x - 2 ) = 7 ( x + 4 )$

Find the value of the variable that satisfies the equation. --10x + x = -36

Solve. -Charlotte invested $6000 in money market funds. Part was invested at 15% interest, the rest at 11% interest. At the end of each year the fund company pays interest. After one year she earned $764 in simple interest. How Much was invested at each interest rate?

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

Solve the inequality. Graph the results. - $13 x + 3 \geq 12 x + 5$ $Solve the inequality. Graph the results. - 13 x + 3 \geq 12 x + 5$

Solve. -A consultant charges $100 plus $25 an hour. How many hours did the consultant work if the total bill were $475?

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

Find the value of x that satisfies the equation. - 38−12=x−316\frac { 3 } { 8 } - \frac { 1 } { 2 } = x - \frac { 3 } { 16 }83​−21​=x−163​

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

Solve. -If $14,000 is invested at 10% simple annual interest, how much should be invested at 12% annual simple interest so that the total yearly income from both investments is $5000?

Graph the inequality on the number line. -x < 2

Solve. -How can $28,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts is equal at the end of the year?

Solve. -What number added to 330 gives 729?

Find the value of x that satisfies the equation. -2.9 = 21.6 - x

Solve. -Logan bought stocks and later sold them for $1,081,600, making a profit of 4%. How much did he pay for the stocks?

Solve. -Libby's 4 quiz scores in her math class are 86, 91, 81, and 86. What score does she need to obtain on her next quiz to average an 85? Round to the nearest whole number if necessary.

Write an algebraic expression for the quantities being compared. -The attendance on Monday was 43 people more than on Tuesday. The attendance on Wednesday was 44 people fewer than on Tuesday.

Solve. -Amy charges $140 plus $35 an hour to do a friend's taxes. If her friend's total bill was $350, how many hours did Amy spend doing the taxes?

Solve for x. Be sure to reduce your answer. Check your solution. - x4=5\frac { x } { 4 } = 54x​=5

Find the value of the variable that satisfies the equation. -4x + x = 45

Solve for the variable -3x + 7.3 = 16.3

Solve for the variable - 4(2x−2)=7(x+4)4 ( 2 x - 2 ) = 7 ( x + 4 )4(2x−2)=7(x+4)

Find the value of the variable that satisfies the equation. --10x + x = -36

Solve. -Charlotte invested $6000 in money market funds. Part was invested at 15% interest, the rest at 11% interest. At the end of each year the fund company pays interest. After one year she earned $764 in simple interest. How Much was invested at each interest rate?

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

Solve the inequality. Graph the results. - 13x+3≥12x+513 x + 3 \geq 12 x + 513x+3≥12x+5

Solve. -A consultant charges $100 plus $25 an hour. How many hours did the consultant work if the total bill were $475?

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

Find the value of x that satisfies the equation. - $\frac { 3 } { 8 } - \frac { 1 } { 2 } = x - \frac { 3 } { 16 }$

Solve for x. Be sure to reduce your answer. Check your solution. - $\frac { x } { 4 } = 5$

Solve for the variable - $4 ( 2 x - 2 ) = 7 ( x + 4 )$

Solve the inequality. Graph the results. - $13 x + 3 \geq 12 x + 5$ $Solve the inequality. Graph the results. - 13 x + 3 \geq 12 x + 5$