Question 1

Solve.
-$$7 x - 3 - 2 x + 1 = 9 x - 4 x - 5$$

Accepted Answer

A)  Infinite number of solutions 
B)  $x = - 64$ 
C)  $x = 0$ 
D)  No solution

Question 2

Solve.
-A bank loaned out $61,000, part of it at the rate of 11% per year and the rest at a rate of 5% per year. If the interest received was $4670, how much was loaned at 11%?

Accepted Answer

A) $34,000 
B) $28,000 
C) $27,000 
D) $33,000

Question 3

Solve.
-The cost of renting a scooter is $18 a day plus 5 cents per mile. How far can Michelle drive in one day if she only has $41?

Accepted Answer

A) 23 mi 
B) 95 mi 
C) 532 mi 
D) 460 mi

Question 4

Solve.
-Ten less than ten times a number is the same as twelve times the number. Find the number.

Accepted Answer

A)  5 
B)  $- \frac { 1 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $- 5$

Question 5

Solve and graph the inequality.
-$$- 8 x - 11 > - 9 x - 3$$

Accepted Answer

A)  $x \leq - 14$
 
B)  $x > 8$
 
C)  $x \geq - 14$
 
D)  $x < 8$

Question 6

Solve for the variable
-$$\frac { 3 x + 2 } { 4 } + \frac { 3 } { 2 } = - \frac { 7 x } { 3 }$$

Accepted Answer

A)  $x = - \frac { 24 } { 37 }$ 
B)  $x = \frac { 12 } { 37 }$ 
C)  $x = \frac { 24 } { 19 }$ 
D)  $x = - \frac { 12 } { 37 }$

Question 7

Find the value of x that satisfies the equation.
-$$x - \frac { 1 } { 2 } = \frac { 3 } { 4 }$$

Accepted Answer

A)  $x = 1$ 
B)  $x = \frac { 1 } { 2 }$ 
C)  $x = \frac { 5 } { 4 }$ 
D)  $x = \frac { 1 } { 4 }$

Question 8

Solve for x. Be sure to reduce your answer. Check your solution.
-$$\frac { 1 } { 8 } x = 0$$

Accepted Answer

A)  $x =$ 
B)  $x = - 8$ 
C)  $x = 1$ 
D)  $x = 0$

Question 9

Find the value of the variable that satisfies the equation.
-$$50 + 14 x = 4 x$$

Accepted Answer

A)  $x = - 5$ 
B)  $x =$ 
C)  $\mathrm { x } =$ 
D)  $x = - 6$

Question 10

Solve for the variable
-$$\frac { 5 } { 6 } y + \frac { 1 } { 8 } = - \frac { 1 } { 6 } y - \frac { 1 } { 6 }$$

Accepted Answer

A)  $y = - \frac { 1 } { 24 }$ 
B)  $y = - \frac { 1 } { 7 }$ 
C)  $y = \frac { 7 } { 24 }$ 
D)  $y = - \frac { 7 } { 24 }$

Question 11

Determine whether the given solution is correct. If it is not, find the solution.
-$\frac { 1 } { 2 } x - \left( x - \frac { 1 } { 9 } \right) = \frac { 1 } { 18 } ( x + 1 )$

Accepted Answer

A)  $x = - \frac { 3 } { 10 }$ 
B)  $x = \frac { 1 } { 8 }$ 
C)  $x = - \frac { 1 } { 26 }$ 
D)  $x = \frac { 1 } { 10 }$

Question 12

Solve for x. Be sure to reduce your answer. Check your solution.
-4x = -28

Accepted Answer

A) x = 32 
B) x = -7 
C) x = 1 
D) x = -32

Question 13

Determine whether the given solution is correct. If it is not, find the solution.
-Is $- 4$ a solution to $\frac { 1 } { 3 } ( x + 6 ) = \frac { 1 } { 6 } x + \frac { 4 } { 3 } ?$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$

Question 14

Solve the inequality. Graph the results.
-$$- 2 x - 11 > - 3 x - 18$$

Accepted Answer

A)  $x \leq - 29$
 
B)  $x > - 7$
 
C)  $x \geq - 29$
 
D)  $x < - 7$

Question 15

Determine if the given solution is correct. If it is not, find the solution.
-Is -5 the solution to -16 - 8 = x - 17?

Accepted Answer

A) yes 
B) no; x = -41 
C) no; x = -25 
D) no; x = -7

Question 16

Solve.
-Melissa invested a sum of money at 3% annual simple interest. She invested three times that sum at 5% annual simple interest. If her total yearly interest from both investments was $7200, how much was invested at 3%?

Accepted Answer

A) $40,000 
B) $90,000 
C) $270,000 
D) $30,000

Question 17

Graph the inequality on the number line.
-$x \geq-5$

Accepted Answer

A)  
B)  
C)  
D)

Question 18

Solve.
-Two cars start from the same point and travel in the same direction. If one car is traveling 56 miles per hour and the other car is traveling at 45 miles per hour, how far apart will they be after 7.7 hours?

Accepted Answer

A) 777.7 mi 
B) 84.7 mi 
C) 431.2 mi 
D) 346.5 mi

Question 19

Solve.
-In a triangle, the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 144 degrees more than the second angle. What is the measure of the first angle?

Accepted Answer

A) 24° 
B) 54° 
C) 6° 
D) 150°

Question 20

Find the value of the variable that satisfies the equation.
-$$8 x + 2 = 66$$

Accepted Answer

A)  $x = 56$ 
B)  $x = 60$ 
C)  $x = 6$ 
D)  $x = 8$

Exam 2: Equations, Inequalities, and Applications

Solve. - $7 x - 3 - 2 x + 1 = 9 x - 4 x - 5$

Solve. -A bank loaned out $61,000, part of it at the rate of 11% per year and the rest at a rate of 5% per year. If the interest received was $4670, how much was loaned at 11%?

Solve. -The cost of renting a scooter is $18 a day plus 5 cents per mile. How far can Michelle drive in one day if she only has $41?

Solve. -Ten less than ten times a number is the same as twelve times the number. Find the number.

Solve and graph the inequality. - $- 8 x - 11 > - 9 x - 3$ $Solve and graph the inequality. - - 8 x - 11 > - 9 x - 3 A) x \leq - 14 B) x > 8 C) x \geq - 14 D) x < 8$

Solve for the variable - $\frac { 3 x + 2 } { 4 } + \frac { 3 } { 2 } = - \frac { 7 x } { 3 }$

Find the value of x that satisfies the equation. - $x - \frac { 1 } { 2 } = \frac { 3 } { 4 }$

Solve for x. Be sure to reduce your answer. Check your solution. - $\frac { 1 } { 8 } x = 0$

Find the value of the variable that satisfies the equation. - $50 + 14 x = 4 x$

Solve for the variable - $\frac { 5 } { 6 } y + \frac { 1 } { 8 } = - \frac { 1 } { 6 } y - \frac { 1 } { 6 }$

Determine whether the given solution is correct. If it is not, find the solution. - $\frac { 1 } { 2 } x - \left( x - \frac { 1 } { 9 } \right) = \frac { 1 } { 18 } ( x + 1 )$

Solve for x. Be sure to reduce your answer. Check your solution. -4x = -28

Determine whether the given solution is correct. If it is not, find the solution. -Is $- 4$ a solution to $\frac { 1 } { 3 } ( x + 6 ) = \frac { 1 } { 6 } x + \frac { 4 } { 3 } ?$

Solve the inequality. Graph the results. - $- 2 x - 11 > - 3 x - 18$ $Solve the inequality. Graph the results. - - 2 x - 11 > - 3 x - 18 A) x \leq - 29 B) x > - 7 C) x \geq - 29 D) x < - 7$

Determine if the given solution is correct. If it is not, find the solution. -Is -5 the solution to -16 - 8 = x - 17?

Solve. -Melissa invested a sum of money at 3% annual simple interest. She invested three times that sum at 5% annual simple interest. If her total yearly interest from both investments was $7200, how much was invested at 3%?

Graph the inequality on the number line. - $x \geq-5$ $Graph the inequality on the number line. - x \geq-5 A) B) C) D)$

Solve. -Two cars start from the same point and travel in the same direction. If one car is traveling 56 miles per hour and the other car is traveling at 45 miles per hour, how far apart will they be after 7.7 hours?

Solve. -In a triangle, the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 144 degrees more than the second angle. What is the measure of the first angle?

Find the value of the variable that satisfies the equation. - $8 x + 2 = 66$

Exam 2: Equations, Inequalities, and Applications

Solve. - 7x−3−2x+1=9x−4x−57 x - 3 - 2 x + 1 = 9 x - 4 x - 57x−3−2x+1=9x−4x−5

Solve. -A bank loaned out $61,000, part of it at the rate of 11% per year and the rest at a rate of 5% per year. If the interest received was $4670, how much was loaned at 11%?

Solve. -The cost of renting a scooter is $18 a day plus 5 cents per mile. How far can Michelle drive in one day if she only has $41?

Solve. -Ten less than ten times a number is the same as twelve times the number. Find the number.

Solve and graph the inequality. - −8x−11>−9x−3- 8 x - 11 > - 9 x - 3−8x−11>−9x−3

Solve for the variable - 3x+24+32=−7x3\frac { 3 x + 2 } { 4 } + \frac { 3 } { 2 } = - \frac { 7 x } { 3 }43x+2​+23​=−37x​

Find the value of x that satisfies the equation. - x−12=34x - \frac { 1 } { 2 } = \frac { 3 } { 4 }x−21​=43​

Solve for x. Be sure to reduce your answer. Check your solution. - 18x=0\frac { 1 } { 8 } x = 081​x=0

Find the value of the variable that satisfies the equation. - 50+14x=4x50 + 14 x = 4 x50+14x=4x

Solve for the variable - 56y+18=−16y−16\frac { 5 } { 6 } y + \frac { 1 } { 8 } = - \frac { 1 } { 6 } y - \frac { 1 } { 6 }65​y+81​=−61​y−61​

Determine whether the given solution is correct. If it is not, find the solution. - 12x−(x−19) =118(x+1) \frac { 1 } { 2 } x - \left( x - \frac { 1 } { 9 } \right) = \frac { 1 } { 18 } ( x + 1 ) 21​x−(x−91​) =181​(x+1)