Question 1

Solve.
-When Milo got promoted at work, he received a 25% pay raise. He now earns $60,000 per year. What was his annual salary before his raise?

Accepted Answer

A) $48,000 
B) $15,000 
C) $60,000 
D) $12,000

Question 2

Solve.
-Ming got a 19% raise in her salary from last year. This year she is earning $135,660. How much did she make last year?

Accepted Answer

A) $21,660 
B) $114,000 
C) $7140 
D) $2,577,540

Question 3

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

Accepted Answer

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

Question 4

Solve.
-A number is doubled and then decreased by 13. The result is 61. What is the original number?

Accepted Answer

A) 24 
B) 148 
C) -24 
D) 37

Question 5

Determine whether the given solution is correct. If it is not, find the solution.
-$$\frac { 3 ( y - 2 ) } { 5 } = 1 - 3 y$$

Accepted Answer

A)  $y = \frac { 11 } { 6 }$ 
B)  $y = \frac { 7 } { 6 }$ 
C)  $\mathrm { y } = - \frac { 11 } { 18 }$ 
D)  $y = \frac { 11 } { 18 }$

Question 6

Solve and graph the inequality.
-$$\frac { 1 } { 7 } ( x + 4 ) \leq \frac { 2 } { 7 } ( x + 8 )$$

Accepted Answer

A)  $x \leq - 12$
 
B)  $x \geq 12$
 
C)  $x \leq 12$
 
D)  $x \geq - 12$

Question 7

Solve.
-Bruce and Elaine hired a magician for their daughter's birthday party. The magician charged $32 plus $4 for each child attending the party. The total bill came to $92. How many children attended the party?

Accepted Answer

A) 23 children 
B) 60 children 
C) 8 children 
D) 15 children

Question 8

Solve.
-Two trains leave a train station at the same time. One travels north at 12 miles per hour. The other train travels south at 7 miles per hour. In how many hours will the two trains be 98.8 miles apart?

Accepted Answer

A) 10.4 hr 
B) 5)7 hr 
C) 5)2 hr 
D) 2)6 hr

Question 9

Determine if the given solution is correct. If it is not, find the solution.
-Is -5 the solution to x + 6 = 5 - 4?

Accepted Answer

A) no; x = 3 
B) no; x = 7 
C) yes 
D) no; x = 15

Question 10

Determine whether the given solution is correct. If it is not, find the solution.
-$$\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 4$$

Accepted Answer

A)  $x = - 60$ 
B)  $x = - 120$ 
C)  $x = 60$ 
D)  $x = 120$

Question 11

Write an algebraic expression for the quantity. Let x represent the unknown value.
-Eight less than double a number.

Accepted Answer

A) 8 - 2x 
B) 2x - 8 
C) 8x - 2 
D) 2 - 8x

Question 12

Solve.
-Michael hired Heather to iron his dress shirts. Heather charges $40 an hour plus $0.25 for each shirt ironed. Heather worked 4 hours and sent a bill to Michael for $174. How many shirts did Heather iron?

Accepted Answer

A) 224 shirts 
B) 696 shirts 
C) 14 shirts 
D) 56 shirts

Question 13

Determine whether the given solution is correct. If it is not, find the solution.
-Is 5 the solution for -9x + 6 + 7x = -3x + 11?

Accepted Answer

A) No; x = 11 
B) No; x = -6 
C) Yes 
D) No; x = -11

Question 14

Solve for the variable
-$$5 ( x + 2 ) - ( 4 x + 9 ) = 4$$

Accepted Answer

A)  $x = - 11$ 
B)  $x = - 3$ 
C)  $x = 3$ 
D)  $x =$

Question 15

Write an algebraic expression for the quantity. Let x represent the unknown value.
-Eight times a number decreased by double the same number.

Accepted Answer

A) 2x - 8x 
B) 8x - 2 
C) 8(x - 2) 
D) 8x - 2x

Question 16

Find the value of the variable that satisfies the equation.
-$$- 2 x - 12 x = - 17$$

Accepted Answer

A)  $x = 238$ 
B)  $x = \frac { 17 } { 14 }$ 
C)  $x = - 3$ 
D)  $x = \frac { 14 } { 17 }$

Question 17

Solve the problem.
-John has received scores of 85, 88, 87, and 95 on her algebra tests. What is the minimum score he must receive on the fifth test to have an overall test score average of at least 90? (Hint: The average of a list of numbers is their
Sum divided by the number of numbers in the list.)

Accepted Answer

A) 95 
B) 93 
C) 94 
D) 96

Question 18

Solve the inequality.
-$- 5 x + 6 + 6 x < 8 - 1 x + 4$

Accepted Answer

A)  $x \geq 9$ 
B)  $x \leq 9$ 
C)  $x  3$

Question 19

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

Accepted Answer

A)  $\frac { 10 } { x }$ 
B)  $10 - \mathrm { x }$ 
C)  $\frac { x } { 10 }$ 
D)  $10 \mathrm { x }$

Question 20

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

Accepted Answer

A)  $x = 4$ 
B)  $x = 7$ 
C)  $x = - 4$ 
D)  $x = \frac { 28 } { 5 }$

Exam 2: Equations, Inequalities, and Applications

Solve. -When Milo got promoted at work, he received a 25% pay raise. He now earns $60,000 per year. What was his annual salary before his raise?

Solve. -Ming got a 19% raise in her salary from last year. This year she is earning $135,660. How much did she make last year?

Translate the graph to an inequality using the variable x. - $Translate the graph to an inequality using the variable x. - A) x \geq - 2 B) x > - 2 C) x \leq - 2 D) x < - 2$

Solve. -A number is doubled and then decreased by 13. The result is 61. What is the original number?

Determine whether the given solution is correct. If it is not, find the solution. - $\frac { 3 ( y - 2 ) } { 5 } = 1 - 3 y$

Solve and graph the inequality. - $\frac { 1 } { 7 } ( x + 4 ) \leq \frac { 2 } { 7 } ( x + 8 )$ $Solve and graph the inequality. - \frac { 1 } { 7 } ( x + 4 ) \leq \frac { 2 } { 7 } ( x + 8 ) A) x \leq - 12 B) x \geq 12 C) x \leq 12 1ecb336_8657_804c_a9b7_c38f1700487d_TB6914_00 D) x \geq - 12$

Solve. -Bruce and Elaine hired a magician for their daughter's birthday party. The magician charged $32 plus $4 for each child attending the party. The total bill came to $92. How many children attended the party?

Solve. -Two trains leave a train station at the same time. One travels north at 12 miles per hour. The other train travels south at 7 miles per hour. In how many hours will the two trains be 98.8 miles apart?

Determine if the given solution is correct. If it is not, find the solution. -Is -5 the solution to x + 6 = 5 - 4?

Determine whether the given solution is correct. If it is not, find the solution. - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 4$

Write an algebraic expression for the quantity. Let x represent the unknown value. -Eight less than double a number.

Solve. -Michael hired Heather to iron his dress shirts. Heather charges $40 an hour plus $0.25 for each shirt ironed. Heather worked 4 hours and sent a bill to Michael for $174. How many shirts did Heather iron?

Determine whether the given solution is correct. If it is not, find the solution. -Is 5 the solution for -9x + 6 + 7x = -3x + 11?

Solve for the variable - $5 ( x + 2 ) - ( 4 x + 9 ) = 4$

Write an algebraic expression for the quantity. Let x represent the unknown value. -Eight times a number decreased by double the same number.

Find the value of the variable that satisfies the equation. - $- 2 x - 12 x = - 17$

Solve the inequality. - $- 5 x + 6 + 6 x < 8 - 1 x + 4$

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

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