B. –1,299

C. –735

D. 1,299

2. Sue has a balance of $35 in her checking account. She writes one check for $10, and three checks for $9 each. What is her balance now?

A. –$2 B. $54 C. –$11 D. $18

3. Solve this inequality: 3b – 7 < 32 A. b < 13

B. b < 5

C. b < 39

D. b < 8.33

4. Simplify and solve this equation: 4m + 9 + 5m – 12 = 42. A. m = –5

B. m = 4

C. m = -4

D. m = 5

5. Simplify this expression: 13 + (–12) – (–5) =? A. 30

B. –30

C. –6

D. 6

￼￼￼￼6. If four times a number plus 3 is 11, what is the number?

￼A. 5 B. 2 C. 4 D. 16

7. Solve the inequality: 12p + 7 > 139 A. p > 11

B. p > 154

C. p > 18

D. p > 12

8. Solve the equation: 7x = 42. A. x = 7

B. x = 6

C. x = – 7

D. x = – 6

9. Solve this inequality: 9h + 2 < –79. A. h < – 9

B. h < –10

C. h < 10

D. h < 9

10. Given the formula D = ABC, what is the formula for C? A. C = AB ÷ D

B. C = D ÷ AB

C. C = AD ÷ C

D. C = ABD

11. Solve this equation: y/9 + 5 = 0.

A. y = –5 B. y = –45 C. y = 45 D. y = 5

12. Solve the equation: 12y = 132. A. y = 11

B. y = 11/12 C. y = 144 D. y = 1/11

￼13. Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65. A. q = 23

B. q = 11

C. q = 15

D. q = 13

14. Given the formula K = LMN, what is the formula for M? A. M = K/LN

B. M = LN/K C. M = KL/N

D. M = LNK

15. Solve the equation: h/9 = 7. A. h = 1 2/7

B. h = –63 C. h = 63

D. h = 7/9

16. Simplify this expression: 4p + 9 + (–7p) + 2 =? A. 11p + 11

B. 3p + 11

C. –3p + 11

D. 3p + 7

17. Find the value of y in this equation: 16y = 164. A. 32

B. 180

C. 10 1/4

D. 16 1/4

18. Solve this equation: 4y + 228 = 352. A. y = 145

B. y = – 31

C. y = 3

D. y = 31

19. Given the formula E = IR what is the formula for R? A. R = I ÷ E

B. R = IE

C. R = EI D. R = E ÷ I

20. Solve the following equation: 6y – 20 = 2y – 4. A. y = 3

B. y = 4

C. y = 16

D. y = 2

1.282 -(1017) = -282 - 1017 = - 1299

2. 35 - (10 + 3(9)) = 35 - (10 + 27) = 35 - 37 = -2

3. 3b - 7 < 32.3b < 32 + 7.3b < 39. b < 39/3. b < 13

4. 4m + 9 + 5m - 12 = 42.9m - 3 = 42.9m = 42 + 3.9m = 45. m = 45/9. m = 5

5. 3 + (-12) - (-5) = 3 - 12 + 5 = 8 - 12 = -4

6. 4 times a number plus 3 is 11.4x + 3 = 11.4x = 11 - 3.4x = 8. x = 8/4. x = 2

7. 12p + 7 > 139.12p > 139 - 7.12p > 132. p > 132/12. p > 11

8. 7x = 42. x = 42/7. x = 6

9. 9h + 2 < -79.9h < -79 - 2.9h < -81. h < -81/9. h < - 9

10. D = ABC. C = D/AB

11. y/9 + 5 = 0. y/9 = -5. y = -5*9. y = -45

12. 12y = 132. y = 132/12. y = 11

13. 3q + 5 + 2q - 5 = 65.5q = 65. q = 65/5. q = 13

14. K = LMN. M = K/LN

15. h/9 = 7. h = 7*9. h = 63

16. 4p + 9 + (-7p) + 2 = 4p + 9 - 7p + 2 = -3p + 11

17. 16y = 164. y = 164/16. y = 10.25 or 10 1/4

18. 4y + 228 = 352.4y = 352 - 228.4y = 124. y = 124/4. y = 31

19. E = IR. R = E/I

20. 6y - 20 = 2y - 4.6y - 2y = -4 + 20.4y = 16. y = 16/4. y = 4

**The correct answers are:**

**(1) (Option B) -1299**

**(2) (Option A) -2**

**(3) (Option A) b < 13**

**(4) (Option D) m = 5**

**(5) (Option D) 6**

**(6) (Option B) 2**

**(7) (Option A) p > 11**

**(8) (Option B) x = 6**

**(9) (Option A) h < –9**

**(10) (Option B) C = D ÷ AB**

**(11) (Option B) y = –45**

**(12) (Option A) y = 11**

**(13) (Option D) q = 13**

**(14) (Option A) M = K/LN**

**(15) (Option C) h = 63**

**(16) (Option C) –3p + 11**

**(17) (Option C) \( 10\frac{1}{4} \)**

**(18) (Option D) y = 31**

**(19) (Option D) R = E ÷ I**

**(20) (Option B) y = 4**

**Explanations:**

**(1) The Given Expression:**

-282 - (+1017)

= -282 - 1017

= **-1299** (**Option B**)

**(2) **The total balance = $35

One check = $10

Three checks = 3 * $9 = $27

Balance now = Total balance - One check + Three check = $35 - $10 - $27 = **-2 **(**Option A**)

**(3) **The given expression:

3b – 7 < 32

Add 7 on both sides:

3b -7 + 7 < 32 + 7

3b < 39

Divide by 3 on both sides:

\( \frac{3b}{3} <\frac{39}{3} \)

b < 13 (**Option A**)

**(4) **The given expression:

4m + 9 + 5m – 12 = 42

9m = 42 + 12 - 9

9m = 45

Divide both sides with 9:

\( \frac{9m}{9} =\frac{45}{9} \\ m=5 \)

The correct answer is m=5 (**Option D**)

**(5) **The given expression:

13 + (–12) – (–5)

= 13 - 12 + 5

= 6 (**Option D**)

**(6) **Mathematically, we can write "four times a number plus 3 is 11" as:

4x + 3 = 11

Where,

x = The number we require

4x = 11 - 3

4x = 8

x = 2 (**Option B**)

**(7) **The given expression:

12p + 7 > 139

Subtract 7 on both sides:

12p + 7 - 7 > 139 -7

12p > 132

Divide 12 on both sides:

\( \frac{12p}{12} >\frac{132}{12} \)

p > 11 (**Option A**)

**(8) **The given equation:

7x = 42

Divide the equation with 7 on both sides:

\( \frac{7x}{7} =\frac{42}{7} \)

x = 6 (**Option B**)

**(9) **The given expression:

9h + 2 < –79

Subtract 2 on both sides:

9h + 2 - 2 < -79 - 2

9h < -81

h < -9 (**Option A**)

**(10) **The given equation:

D = ABC

Now divide both sides with **AB **on both sides:

\( \frac{D}{AB} =\frac{ABC}{AB} \\ C =\frac{D}{AB} \)

Hence C = D ÷ AB (**Option B**)

**(11) **Given equation:

\( \frac{y}{9} + 5 = 0 \)

Subtract 5 on both sides:

\( \frac{y}{9} +5 -5 = 0 -5 \)

y = -5*9 = -45

y = -45 (**Option B**)

**(12) **Given equation:

12y = 132

Divide both sides by 12:

\( \frac{12y}{12} =\frac{132}{12} \)

y = 11 (**Option A**)

**(13) **The given equation:

3q + 5 + 2q – 5 = 65

5q = 65

Divide both sides with 5 and simplify:

q = 13 (**Option D**)

**(14) **Given formula:

K = LMN

To find M, divide both sides with LN:

\( \frac{K}{LN} =\frac{LMN}{LN} \\ M = \frac{K}{LN} \)

Hence the correct answer is \( M = \frac{K}{LN} \) (**Option A**)

**(15) **Given formula:

h/9 = 7

Multiply both sides with 9:

h = 7 * 9

h = 63 (**Option C**)

**(16) **Given expression:

4p + 9 + (-7p) + 2

4p + 9 -7p +2

-3p + 11 (**Option C**)

**(17) **The given formula:

16y = 164

Divide both sides with 16:

\( \frac{16y}{16} =\frac{164}{16} \\ y = 10\frac{1}{4} \)

Hence the correct answer is (**Option C**) \( y = 10\frac{1}{4} \)

**(18) **Given equation:

4y + 228 = 352

Subtract both sides with 228:

4y + 228 - 228 = 352 - 228

4y = 124

Divide both sides by 4 and simplify:

y = 31 (**Option D**)

**(19) **The given formula:

E = IR

To find R, divide both sides with I:

R = E ÷ I (**Option D**)

**(20) **Given equation:

6y - 20 = 2y - 4

=> 6y - 2y = -4 + 20

=> 4y = 16

Divide both sides with 4 and simplify:

y = 4 (**Option B**)