Question 1

Multiply.
--9 · (-9)

Accepted Answer

A) -81 
B) -90 
C) 90 
D) 81 
A) -81 
B) -90 
C) 90 
D) 81

Question 2

Remove parentheses and simplify.
-70r + 42 - 9(6r + 8)

Accepted Answer

A) -126r 
B) 16r - 1 
C) 70r + 8 
D) 16r + -30 
A) -126r 
B) 16r - 1 
C) 70r + 8 
D) 16r + -30

Question 3

Collect like terms.
-$$2 q - 2 - 5 p + 6 q - 7 p$$

Accepted Answer

A)  $8 q - 12 p - 2$ 
B)  $2 q - 12 p - 8$ 
C)  $8 \mathrm { q } + 12 \mathrm { p } + 2$ 
D)  $8 q - 5 p - 2$ 
A)  $8 q - 12 p - 2$ 
B)  $2 q - 12 p - 8$ 
C)  $8 \mathrm { q } + 12 \mathrm { p } + 2$ 
D)  $8 q - 5 p - 2$

Question 4

Factor. Check by multiplying.
-3 + 3z

Accepted Answer

A) 3(0 + z) 
B) 3(1 + z) 
C) 3(3 + z) 
D) 3(1 + 3z) 
A) 3(0 + z) 
B) 3(1 + z) 
C) 3(3 + z) 
D) 3(1 + 3z)

Question 5

Rewrite the division as a multiplication.
-$$- \frac { 9 } { 12 }$$

Accepted Answer

A)  $- 9 \cdot 12$ or $9 \cdot - 12$ 
B)  $- 12 \cdot \left( \frac { 1 } { 9 } \right)$ or $12 \cdot \left( - \frac { 1 } { 9 } \right)$ 
C)  $- 9 \cdot \left( \frac { 1 } { 12 } \right)$ or $9 \cdot \left( - \frac { 1 } { 12 } \right)$ 
D)  $- 9 \cdot - 12$ or $9 \cdot 12$ 
A)  $- 9 \cdot 12$ or $9 \cdot - 12$ 
B)  $- 12 \cdot \left( \frac { 1 } { 9 } \right)$ or $12 \cdot \left( - \frac { 1 } { 9 } \right)$ 
C)  $- 9 \cdot \left( \frac { 1 } { 12 } \right)$ or $9 \cdot \left( - \frac { 1 } { 12 } \right)$ 
D)  $- 9 \cdot - 12$ or $9 \cdot 12$

Question 6

State the real number that corresponds to the situation.
-$- \frac { 3 } { 8 }$

Accepted Answer

A)  $0.375$ 
B)  $- 0 . \overline { 375 }$ 
C)  $- 0.37 \overline { 5 }$ 
D)  $- 0.375$ 
A)  $0.375$ 
B)  $- 0 . \overline { 375 }$ 
C)  $- 0.37 \overline { 5 }$ 
D)  $- 0.375$

Question 7

Solve the problem.
-The ocean surface is at 0 ft elevation. A diver is underwater at an elevation of -176 ft near a rock formation. In this area, the ocean floor has an elevation of -368 ft. The rock formation rises to a peak 247 ft above the ocean
Floor. How many feet below the top of the rock formation is the diver?

Accepted Answer

A) 192 ft 
B) 55 ft 
C) 71 ft 
D) 121 ft 
A) 192 ft 
B) 55 ft 
C) 71 ft 
D) 121 ft

Question 8

Write an inequality with the same meaning.
-$$y > 24$$

Accepted Answer

A)  $y  y$ 
D)  $24 < y$ 
A)  $y  y$ 
D)  $24 < y$

Question 9

Add. Do not use a number line except as a check.
-$$- 4 + \left( - \frac { 7 } { 10 } \right) + \frac { 1 } { 10 }$$

Accepted Answer

A)  $- \frac { 24 } { 5 }$ 
B)  $- \frac { 23 } { 5 }$ 
C)  $- 1$ 
D)  $- 46$ 
A)  $- \frac { 24 } { 5 }$ 
B)  $- \frac { 23 } { 5 }$ 
C)  $- 1$ 
D)  $- 46$

Question 10

Solve the problem.
-A stockbroker sold 15 shares of stock for $25.01 each. What was the total amount of the sale?

Accepted Answer

A) $375.05 
B) $375.25 
C) $375.15 
D) $375.26 
A) $375.05 
B) $375.25 
C) $375.15 
D) $375.26

Question 11

Evaluate the expression for the given value of x.
-$$( - 5 x ) ^ { 2 } , x = 5$$

Accepted Answer

A)  125 
B)  $- 125$ 
C)  625 
D)  $- 625$ 
A)  125 
B)  $- 125$ 
C)  625 
D)  $- 625$

Question 12

Write an equivalent expression. Use an associative law.
-(x + 3)+ y

Accepted Answer

A) y + (x + 3) 
B) (3 + x)+ y 
C) x(3 + y) 
D) x + (3 + y) 
A) y + (x + 3) 
B) (3 + x)+ y 
C) x(3 + y) 
D) x + (3 + y)

Question 13

Solve the problem.
-During one year 37 new employees began work at Daniel's Manufacturing Company and 14 employees left. At the beginning of the year there were 400 employees. What was the number of employees at the end of the year?

Accepted Answer

A) 451 employees 
B) 349 employees 
C) 423 employees 
D) 437 employees 
A) 451 employees 
B) 349 employees 
C) 423 employees 
D) 437 employees

Question 14

Insert  to write a true statement.
-

Accepted Answer

A)  - 20   0\) 
A)  - 20   0\)

Question 15

Divide, if possible.
--105 ÷ 5

Accepted Answer

A) 21 
B) $- \frac { 1 } { 21 }$ 
C)  -31 
D)  -21 
A) 21 
B) $- \frac { 1 } { 21 }$ 
C)  -31 
D)  -21

Question 16

Solve the problem.
-Wayne has $30.72 in his wallet. Janice has a debt note for $20.00 in her wallet. Find the difference between these amounts.

Accepted Answer

A) $50.72 
B) -$50.72 
C) -$10.72 
D) $10.72 
A) $50.72 
B) -$50.72 
C) -$10.72 
D) $10.72

Question 17

State the real number that corresponds to the situation.
-$- \frac { 1 } { 3 }$

Accepted Answer

A)  $- 0 . \overline { 3 }$ 
B)  $0 . \overline { 3 }$ 
C)  $- 3$ 
D)  $0.33333333$ 
A)  $- 0 . \overline { 3 }$ 
B)  $0 . \overline { 3 }$ 
C)  $- 3$ 
D)  $0.33333333$

Question 18

Simplify.
-2 + 19 ·11 - (-26)

Accepted Answer

A) 58 
B) 237 
C) 205 
D) 257 
A) 58 
B) 237 
C) 205 
D) 257

Question 19

Multiply.
-2.9 · (-2.03)

Accepted Answer

A) 4.93 
B) -5.887 
C) 5.03 
D) 0.87 
A) 4.93 
B) -5.887 
C) 5.03 
D) 0.87

Question 20

Simplify.
-2(-13)+ 4(-3)

Accepted Answer

A) -38 
B) 22 
C) 102 
D) 38 
A) -38 
B) 22 
C) 102 
D) 38

Multiply. --9 · (-9)

Remove parentheses and simplify. -70r + 42 - 9(6r + 8)

Collect like terms. - $2 q - 2 - 5 p + 6 q - 7 p$

Factor. Check by multiplying. -3 + 3z

Rewrite the division as a multiplication. - $- \frac { 9 } { 12 }$

State the real number that corresponds to the situation. - $- \frac { 3 } { 8 }$

Write an inequality with the same meaning. - $y > 24$

Add. Do not use a number line except as a check. - $- 4 + \left( - \frac { 7 } { 10 } \right) + \frac { 1 } { 10 }$

Solve the problem. -A stockbroker sold 15 shares of stock for $25.01 each. What was the total amount of the sale?

Evaluate the expression for the given value of x. - $( - 5 x ) ^ { 2 } , x = 5$

Write an equivalent expression. Use an associative law. -(x + 3)+ y

Solve the problem. -During one year 37 new employees began work at Daniel's Manufacturing Company and 14 employees left. At the beginning of the year there were 400 employees. What was the number of employees at the end of the year?

Insert < or > to write a true statement. -

Divide, if possible. --105 ÷ 5

Solve the problem. -Wayne has $30.72 in his wallet. Janice has a debt note for $20.00 in her wallet. Find the difference between these amounts.

State the real number that corresponds to the situation. - $- \frac { 1 } { 3 }$

Simplify. -2 + 19 ·11 - (-26)

Multiply. -2.9 · (-2.03)

Simplify. -2(-13)+ 4(-3)

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Exam 1: Introduction to Real Numbers and Algebraic Expressions