Question 1

Multiply.
--0.2 ·7.98

Accepted Answer

A) 7.78 
B) -1.596 
C) 8.18 
D) 1.596 
A) 7.78 
B) -1.596 
C) 8.18 
D) 1.596

Question 2

Add. Do not use a number line except as a check.
-5 + (-4)

Accepted Answer

A) -1 
B) -9 
C) 9 
D) 1 
A) -1 
B) -9 
C) 9 
D) 1

Question 3

Substitute to find the value of the expression.
-The area of a rectangle of length land width $w$ is given by the formula $A = l N$. Ann's backyard is rectangular with a length of $34.5$ yards and a width of $13.0$ yards. Find the area of Ann's backyard.

Accepted Answer

A)  $448.50 \mathrm { yd }$ 
B)  $448.50 \mathrm { yd } ^ { 2 }$ 
C)  $47.5 \mathrm { yd } ^ { 2 }$ 
D)  $47.5 \mathrm { yd }$ 
A)  $448.50 \mathrm { yd }$ 
B)  $448.50 \mathrm { yd } ^ { 2 }$ 
C)  $47.5 \mathrm { yd } ^ { 2 }$ 
D)  $47.5 \mathrm { yd }$

Question 4

Write an equivalent expression. Use a commutative law.
-$$p q + z$$

Accepted Answer

A)  $q p + z$, or $z + p q$ 
B)  $p q z$, or $p + q + z$ 
C)  $p q - z$ 
D)  $z - p q$ 
A)  $q p + z$, or $z + p q$ 
B)  $p q z$, or $p + q + z$ 
C)  $p q - z$ 
D)  $z - p q$

Question 5

Find the absolute value.
-$$|125|$$

Accepted Answer

A) 250 
B) 125 
C) -125 
D) 0 
A) 250 
B) 125 
C) -125 
D) 0

Question 6

Simplify.
-$$\frac { 11 - 3 ^ { 2 } } { 6 ^ { 2 } + 5 ^ { 2 } }$$

Accepted Answer

A)  $\frac { 2 } { 61 }$ 
B)  $\frac { 2 } { 11 }$ 
C)  $\frac { 8 } { 11 }$ 
D)  $\frac { 64 } { 61 }$ 
A)  $\frac { 2 } { 61 }$ 
B)  $\frac { 2 } { 11 }$ 
C)  $\frac { 8 } { 11 }$ 
D)  $\frac { 64 } { 61 }$

Question 7

Find the absolute value.
-$\left| \frac { 2 } { 3 } \right|$

Accepted Answer

A)  0 
B)  $\frac { 4 } { 3 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $- \frac { 2 } { 3 }$ 
A)  0 
B)  $\frac { 4 } { 3 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $- \frac { 2 } { 3 }$

Question 8

Multiply.
-4 ·(-7)·4 ·(-8)·7 ·(-4)·(-5)

Accepted Answer

A) 125,440 
B) -9 
C) -125,440 
D) -25,083 
A) 125,440 
B) -9 
C) -125,440 
D) -25,083

Question 9

Solve the problem.
-Clearwater Community College had 1225 students enrolled in 1998 and 982 students enrolled in 1999. Find the percent of decrease in the number of students from 1998 to 1999. Round to the nearest tenth of a percent.

Accepted Answer

A) -17.9% 
B) -19.8% 
C) -15.9% 
D) -24.7% 
A) -17.9% 
B) -19.8% 
C) -15.9% 
D) -24.7%

Question 10

Multiply.
-80 ·(-1.8)·8 ·(-0.08)

Accepted Answer

A) -921.6 
B) 92.16 
C) -92.16 
D) 921.6 
A) -921.6 
B) 92.16 
C) -92.16 
D) 921.6

Question 11

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-8 + (a + b)as b + (8 + a)

Accepted Answer

\[\begin{array}{l}
8 + ( a + b

Question 12

Multiply.
-5(3 + 2s)

Accepted Answer

A) 15 + 30s 
B) 3 + 10s 
C) 15 + 10s 
D) 15 + 2s 
A) 15 + 30s 
B) 3 + 10s 
C) 15 + 10s 
D) 15 + 2s

Question 13

Determine whether the statement is true or false.
-8 > 5

Accepted Answer

A) True 
 B)False

Question 14

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-(2w)5 as 10w

Accepted Answer

(2w) @#LAT-DLM& Using the comm

Question 15

Factor. Check by multiplying.
-$$3 + 15 a + 18 b$$

Accepted Answer

A)  $15 ( 1 + a + b )$ 
B)  $3 ( 1 + 5 a + 6 b )$ 
C)  $3 ( 1 + 15 a + 18 b )$ 
D)  $3 ( 0 + 5 a + 6 b )$ 
A)  $15 ( 1 + a + b )$ 
B)  $3 ( 1 + 5 a + 6 b )$ 
C)  $3 ( 1 + 15 a + 18 b )$ 
D)  $3 ( 0 + 5 a + 6 b )$

Question 16

Multiply.
--10 ·(-9)·5 ·(-13)

Accepted Answer

A) 5850 
B) 463 
C) -27 
D) -5850 
A) 5850 
B) 463 
C) -27 
D) -5850

Question 17

Divide.
-$\frac { - 52 } { 9 - ( - 5 ) }$

Accepted Answer

A)  4 
B)  $- 4$ 
C)  13 
D)  $- 13$ 
A)  4 
B)  $- 4$ 
C)  13 
D)  $- 13$

Question 18

State the real number that corresponds to the situation.
-In one state, the highest point is 4092 feet above sea level.

Accepted Answer

A) -4092 
B) 4092 
A) -4092 
B) 4092

Question 19

Multiply.
-3(5x + 9y + 7)

Accepted Answer

A) 15x + 9y + 21 
B) 15x + 27y + 7 
C) 15x + 9y + 7 
D) 15x + 27y + 21 
A) 15x + 9y + 21 
B) 15x + 27y + 7 
C) 15x + 9y + 7 
D) 15x + 27y + 21

Question 20

Write an equivalent expression. Use a commutative law.
-$$4 + x y$$

Accepted Answer

A)  $x y + 4$, or $4 + y x$ 
B)  $4 + x + y$ 
C)  $4 x y$, or $4 y x$ 
D)  $4 ( 1 + x y )$ 
A)  $x y + 4$, or $4 + y x$ 
B)  $4 + x + y$ 
C)  $4 x y$, or $4 y x$ 
D)  $4 ( 1 + x y )$

Multiply. --0.2 ·7.98

Add. Do not use a number line except as a check. -5 + (-4)

Substitute to find the value of the expression. -The area of a rectangle of length land width $w$ is given by the formula $A = l N$ . Ann's backyard is rectangular with a length of $34.5$ yards and a width of $13.0$ yards. Find the area of Ann's backyard.

Write an equivalent expression. Use a commutative law. - $p q + z$

Find the absolute value. - $|125|$

Simplify. - $\frac { 11 - 3 ^ { 2 } } { 6 ^ { 2 } + 5 ^ { 2 } }$

Find the absolute value. - $\left| \frac { 2 } { 3 } \right|$

Multiply. -4 ·(-7)·4 ·(-8)·7 ·(-4)·(-5)

Solve the problem. -Clearwater Community College had 1225 students enrolled in 1998 and 982 students enrolled in 1999. Find the percent of decrease in the number of students from 1998 to 1999. Round to the nearest tenth of a percent.

Multiply. -80 ·(-1.8)·8 ·(-0.08)

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -8 + (a + b)as b + (8 + a)

Multiply. -5(3 + 2s)

Determine whether the statement is true or false. -8 > 5

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -(2w)5 as 10w

Factor. Check by multiplying. - $3 + 15 a + 18 b$

Multiply. --10 ·(-9)·5 ·(-13)

Divide. - $\frac { - 52 } { 9 - ( - 5 ) }$

State the real number that corresponds to the situation. -In one state, the highest point is 4092 feet above sea level.

Multiply. -3(5x + 9y + 7)

Write an equivalent expression. Use a commutative law. - $4 + x y$

Solving Equations and Inequalities

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Exam 1: Introduction to Real Numbers and Algebraic Expressions