Question 1

Find the value of the variable that satisfies the equation.
-$$\frac { 1 } { 5 } x - \frac { 1 } { 5 } = - 6$$

Accepted Answer

A)  $x = - 29$ 
B)  $x = 29$ 
C)  $x = 31$ 
D)  $x = - 31$ 
A)  $x = - 29$ 
B)  $x = 29$ 
C)  $x = 31$ 
D)  $x = - 31$ A

Question 2

Write an algebraic expression for the quantity. Let x represent the unknown value.
-Ten greater than a number.

Accepted Answer

A) x + 10 
B) x > 10 
C) x - 10 
D) 10 > x 
A) x + 10 
B) x > 10 
C) x - 10 
D) 10 > x A

Question 3

Solve.
-Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total interest for that year was $700,
How much did Kevin invest in the mutual fund?

Accepted Answer

A) $8000 
B) $3000 
C) $1000 
D) $2000 
A) $8000 
B) $3000 
C) $1000 
D) $2000 D

Question 4

Replace the ? by .
-$$- 3 ? - \frac { 19 } { 5 }$$

Accepted Answer

A)  
A)

Question 5

Determine whether the given solution is correct. If it is not, find the solution.
-Is 4 a solution to $\frac { 1 } { 4 } ( x + 6 ) = \frac { 1 } { 8 } x + 1 ?$

Accepted Answer

A) Yes 
B)  No 
A) Yes 
B)  No

Question 6

Solve.
-$$7 ( x + 4 ) + 4 = 7 x + 2$$

Accepted Answer

A)  Infinite number of solutions 
B)  No solution 
C)  $x = 30$ 
D)  $x = 10$ 
A)  Infinite number of solutions 
B)  No solution 
C)  $x = 30$ 
D)  $x = 10$

Question 7

Translate the English statement into an inequality.
-The rocket must reach a speed of at least 951 mph. (Use the variable V for speed.)

Accepted Answer

A) $V > 951$ B) $V < 951$ C) $\mathrm { V } \leq 951$ D) $V \geq 951$ A) $V > 951$ B) $V < 951$ C) $\mathrm { V } \leq 951$ D) $V \geq 951$

Question 8

Solve and graph the inequality.
-$30 x + 15 - 5 ( 5 x + 1 ) \geq 0$

Accepted Answer

A) $x \leq - 2$ B) $x \geq - 2$ C) $x > - 2$ D) $x < - 2$ A) $x \leq - 2$ B) $x \geq - 2$ C) $x > - 2$ D) $x < - 2$

Question 9

Solve.
-Holly bought a sweater on sale for 20% off the original price. If she saved $12, what was the original price?

Accepted Answer

A) $2.40 
B) $60.00 
C) $240.00 
D) $48.00 
A) $2.40 
B) $60.00 
C) $240.00 
D) $48.00

Question 10

Find the value of x that satisfies the equation.
--0.6 + x = 17

Accepted Answer

A) x = 17.6 
B) x = 17.1 
C) x = 16.4 
D) x = 15.9 
A) x = 17.6 
B) x = 17.1 
C) x = 16.4 
D) x = 15.9

Question 11

Solve.
-Josh and Sam traveled in separate cars from their apartment to a ski resort 360 miles away. Sam wanted to get there early, so he traveled the maximum speed limit, 60 mph. Josh just bought a new car, so he drove a little
Slower at exactly 40 mph. If they both left at the same time, how much sooner did Sam arrive at the ski resort
Than Josh?

Accepted Answer

A) 2 hours sooner 
B) they arrive at the same time 
C) 3 hours sooner 
D) 1 hour sooner 
A) 2 hours sooner 
B) they arrive at the same time 
C) 3 hours sooner 
D) 1 hour sooner

Question 12

Determine whether the given solution is correct. If it is not, find the solution.
-1.5x + 4.3 = 0.7x + 2.54

Accepted Answer

A) x = -2.21 
B) x = -2.2 
C) x = -2.222 
D) x = -0.455 
A) x = -2.21 
B) x = -2.2 
C) x = -2.222 
D) x = -0.455

Question 13

Translate the English statement into an inequality.
-The number of people the school can hold is at most 138. (Use the variable p for number of people.)

Accepted Answer

A)  $p \geq 138$ 
B)  $p \leq 138$ 
C)  $p  138$ 
A)  $p \geq 138$ 
B)  $p \leq 138$ 
C)  $p  138$

Question 14

Solve.
-A number divided by eight is 328. What is the number?

Accepted Answer

A) 336 
B) 41 
C) 2624 
D) 320 
A) 336 
B) 41 
C) 2624 
D) 320

Question 15

Solve.
-Susan charges $250 plus $50 an hour to clean houses. If a client's total bill were $700, how many hours did Susan spend cleaning the client's house?

Accepted Answer

A) 9 hours 
B) 450 hours 
C) 5 hours 
D) 14 hours 
A) 9 hours 
B) 450 hours 
C) 5 hours 
D) 14 hours

Question 16

Find the value of x that satisfies the equation.
-$$\frac { 1 } { 2 } + x = 5$$

Accepted Answer

A)  $x = \frac { 9 } { 2 }$ 
B)  $x = 2$ 
C)  $\mathrm { x } = 9$ 
D)  $x = \frac { 11 } { 2 }$ 
A)  $x = \frac { 9 } { 2 }$ 
B)  $x = 2$ 
C)  $\mathrm { x } = 9$ 
D)  $x = \frac { 11 } { 2 }$

Question 17

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

Accepted Answer

A)  $x = 1$ 
B)  $x = \frac { 3 } { 2 }$ 
C)  $x = \frac { 1 } { 6 }$ 
D)  $x = \frac { 19 } { 6 }$ 
A)  $x = 1$ 
B)  $x = \frac { 3 } { 2 }$ 
C)  $x = \frac { 1 } { 6 }$ 
D)  $x = \frac { 19 } { 6 }$

Question 18

Solve.
-What number minus 216 gives 551?

Accepted Answer

A) 767 
B) -767 
C) -335 
D) 335 
A) 767 
B) -767 
C) -335 
D) 335

Question 19

Solve for the variable
-$$12 ( 3 x - 6 ) = 6 x - 8$$

Accepted Answer

A)  $x = - \frac { 32 } { 15 }$ 
B)  $x = \frac { 8 } { 3 }$ 
C) $ x = \frac { 32 } { 15 }$ 
D)  $x = \frac { 32 } { 21 }$ 
A)  $x = - \frac { 32 } { 15 }$ 
B)  $x = \frac { 8 } { 3 }$ 
C) $ x = \frac { 32 } { 15 }$ 
D)  $x = \frac { 32 } { 21 }$

Question 20

Solve for the variable
-$$5 ( x + 7 ) = 6 ( x - 3 )$$

Accepted Answer

A)  $x = 53$ 
B)  $x = - 17$ 
C)  $x =$ 
D)  $x = - 53$ 
A)  $x = 53$ 
B)  $x = - 17$ 
C)  $x =$ 
D)  $x = - 53$

Find the value of the variable that satisfies the equation. - $\frac { 1 } { 5 } x - \frac { 1 } { 5 } = - 6$

Write an algebraic expression for the quantity. Let x represent the unknown value. -Ten greater than a number.

Solve. -Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total interest for that year was $700, How much did Kevin invest in the mutual fund?

Replace the ? by < or >. - $- 3 ? - \frac { 19 } { 5 }$

Determine whether the given solution is correct. If it is not, find the solution. -Is 4 a solution to $\frac { 1 } { 4 } ( x + 6 ) = \frac { 1 } { 8 } x + 1 ?$

Solve. - $7 ( x + 4 ) + 4 = 7 x + 2$

Translate the English statement into an inequality. -The rocket must reach a speed of at least 951 mph. (Use the variable V for speed.)

Solve and graph the inequality. - $30 x + 15 - 5 ( 5 x + 1 ) \geq 0$ $Solve and graph the inequality. - 30 x + 15 - 5 ( 5 x + 1 ) \geq 0$

Solve. -Holly bought a sweater on sale for 20% off the original price. If she saved $12, what was the original price?

Find the value of x that satisfies the equation. --0.6 + x = 17

Determine whether the given solution is correct. If it is not, find the solution. -1.5x + 4.3 = 0.7x + 2.54

Translate the English statement into an inequality. -The number of people the school can hold is at most 138. (Use the variable p for number of people.)

Solve. -A number divided by eight is 328. What is the number?

Solve. -Susan charges $250 plus $50 an hour to clean houses. If a client's total bill were $700, how many hours did Susan spend cleaning the client's house?

Find the value of x that satisfies the equation. - $\frac { 1 } { 2 } + x = 5$

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

Solve. -What number minus 216 gives 551?

Solve for the variable - $12 ( 3 x - 6 ) = 6 x - 8$

Solve for the variable - $5 ( x + 7 ) = 6 ( x - 3 )$

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 the variable that satisfies the equation. - 15x−15=−6\frac { 1 } { 5 } x - \frac { 1 } { 5 } = - 651​x−51​=−6