Question 1

Write the inequality in words. $- 3 < x < - 2$

Accepted Answer

A)  x is between -3 and -2 
B)  x is between -3 and -2, including -2 
C)  x is between -3 and -2, including -3 
D)  x is between -3 and -2, including -3 and -2 
E)  x is greater than -3 
A)  x is between -3 and -2 
B)  x is between -3 and -2, including -2 
C)  x is between -3 and -2, including -3 
D)  x is between -3 and -2, including -3 and -2 
E)  x is greater than -3

Question 2

Evaluate: $$- 7 + 14$$

Accepted Answer

A)  21 
B)  7 
C)  -21 
D)  -7 
E)  14 
A)  21 
B)  7 
C)  -21 
D)  -7 
E)  14

Question 3

Write the reciprocal of the number below. $$\frac { 1 } { 2 }$$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  -2 
D)  - $\frac { 1 } { 2 }$ 
E)  6 
A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  -2 
D)  - $\frac { 1 } { 2 }$ 
E)  6

Question 4

Evaluate: $$8 + ( - 8 )$$

Accepted Answer

A)  16 
B)  -24 
C)  0 
D)  -16 
E)  12 
A)  16 
B)  -24 
C)  0 
D)  -16 
E)  12

Question 5

Evaluate: $$2 + ( - 22 )$$

Accepted Answer

A)  24 
B)  -46 
C)  -20 
D)  20 
E)  23 
A)  24 
B)  -46 
C)  -20 
D)  20 
E)  23

Question 6

Simplify the following expression. $$- 4 ( 4 a - 4 )$$

Accepted Answer

A)  $- 4 a + 16$ 
B)  $- 16 a - 4$ 
C)  $- 16 a + 16$ 
D)  $- 16 a - 16$ 
E)  $16 a + 16$ 
A)  $- 4 a + 16$ 
B)  $- 16 a - 4$ 
C)  $- 16 a + 16$ 
D)  $- 16 a - 16$ 
E)  $16 a + 16$

Question 7

Add: 34.405 + 2.2032 + 425.04

Accepted Answer

A)  461.6482 
B)  451.6482 
C)  461.5382 
D)  471.7483 
E)  561.6583 
A)  461.6482 
B)  451.6482 
C)  461.5382 
D)  471.7483 
E)  561.6583

Question 8

Simplify the expression without a calculator. $$\frac { 9 - 5 } { 6 - ( - 1 ) }$$

Accepted Answer

A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 4 } { 7 }$ 
C)  $\frac { 5 } { 9 }$ 
D)  $\frac { 7 } { 4 }$ 
E)  $\frac { 5 } { 4 }$ 
A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 4 } { 7 }$ 
C)  $\frac { 5 } { 9 }$ 
D)  $\frac { 7 } { 4 }$ 
E)  $\frac { 5 } { 4 }$

Question 9

Write in words the expression $- | x |$ .

Accepted Answer

A)  The opposite of the absolute value of x. 
B)  The opposite of the opposite of x. 
C)  The opposite value of x. 
D)  The absolute value of the opposite of x. 
E)  The opposite of the opposite of the absolute value of x. 
A)  The opposite of the absolute value of x. 
B)  The opposite of the opposite of x. 
C)  The opposite value of x. 
D)  The absolute value of the opposite of x. 
E)  The opposite of the opposite of the absolute value of x.

Question 10

Divide: $$- \frac { 1 } { 4 } \div \frac { 13 } { 2 }$$

Accepted Answer

A)  $- \frac { 1 } { 26 }$ 
B)  $- \frac { 13 } { 8 }$ 
C)  $- \frac { 3 } { 2 }$ 
D)  $- \frac { 2 } { 9 }$ 
E)  $\frac { 1 } { 9 }$ 
A)  $- \frac { 1 } { 26 }$ 
B)  $- \frac { 13 } { 8 }$ 
C)  $- \frac { 3 } { 2 }$ 
D)  $- \frac { 2 } { 9 }$ 
E)  $\frac { 1 } { 9 }$

Question 11

Evaluate the following expression. $$\frac { 30 + \sqrt { 225 } } { 3 }$$

Accepted Answer

A)  25 
B)  35 
C)  85 
D)  105 
E)  15 
A)  25 
B)  35 
C)  85 
D)  105 
E)  15

Question 12

Calculate the expression. $$| 1 - 3 |$$

Accepted Answer

A)  -2 
B)  3 
C)  2 
D)  -3 
E)  4 
A)  -2 
B)  3 
C)  2 
D)  -3 
E)  4

Question 13

Use unit analysis to answer how many ounces are in 3 tons. Round to the nearest whole number if necessary. 1 ton = 2,000 pounds
16 ounces = 1 pound

Accepted Answer

A)  96,000 ounces 
B)  6,000 ounces 
C)  48 ounces 
D)  375 ounces 
E)  2,019 ounces 
A)  96,000 ounces 
B)  6,000 ounces 
C)  48 ounces 
D)  375 ounces 
E)  2,019 ounces

Question 14

Give the opposite of the number. $$- \frac { 1 } { 3 }$$

Accepted Answer

A)  $- \frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  -3 
D)  3 
E)  0 
A)  $- \frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  -3 
D)  3 
E)  0

Question 15

Multiply: $$\left( - \frac { 5 } { 6 } \right) \cdot \left( - \frac { 4 } { 13 } \right)$$

Accepted Answer

A)  $- \frac { 3 } { 26 }$ 
B)  $\frac { 9 } { 7 }$ 
C)  $- \frac { 89 } { 78 }$ 
D)  $\frac { 10 } { 39 }$ 
E)  $- \frac { 41 } { 39 }$ 
A)  $- \frac { 3 } { 26 }$ 
B)  $\frac { 9 } { 7 }$ 
C)  $- \frac { 89 } { 78 }$ 
D)  $\frac { 10 } { 39 }$ 
E)  $- \frac { 41 } { 39 }$

Question 16

Write the reciprocal of the number below. $$3 \frac { 2 } { 3 }$$

Accepted Answer

A)  $- \frac { 3 } { 11 }$ 
B)  $\frac { 3 } { 11 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $- \frac { 2 } { 3 }$ 
E)  $\frac { 3 } { 2 }$ 
A)  $- \frac { 3 } { 11 }$ 
B)  $\frac { 3 } { 11 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $- \frac { 2 } { 3 }$ 
E)  $\frac { 3 } { 2 }$

Question 17

Find the quotient of the rational numbers given below. $$- \frac { 5 } { 8 } \text { and } - \frac { 13 } { 2 }$$

Accepted Answer

A)  $\frac { 65 } { 16 }$ 
B)  $- \frac { 3 } { 104 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 5 } { 52 }$ 
E)  $- \frac { 57 } { 8 }$ 
A)  $\frac { 65 } { 16 }$ 
B)  $- \frac { 3 } { 104 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 5 } { 52 }$ 
E)  $- \frac { 57 } { 8 }$

Question 18

Identify the numerical coefficient in the term. $$- 4 x ^ { 2 }$$

Accepted Answer

A)  4 
B)  $- 4 x$ 
C)  $- x$ 
D)  $x$ 
E)  $- 4$ 
A)  4 
B)  $- 4 x$ 
C)  $- x$ 
D)  $x$ 
E)  $- 4$

Question 19

Explain the meaning of $\infty$ in $( 3 , \infty )$ .

Accepted Answer

A)  $\infty$ is infinity, numbers are increasing without bound. 
B)  $\infty$ is the symbol of uncertainty. 
C)  $\infty$ is infinity, numbers are decreasing without bound. 
D)  $\infty$ is the opposite to the number 3. 
E)  $\infty$ is zero. 
A)  $\infty$ is infinity, numbers are increasing without bound. 
B)  $\infty$ is the symbol of uncertainty. 
C)  $\infty$ is infinity, numbers are decreasing without bound. 
D)  $\infty$ is the opposite to the number 3. 
E)  $\infty$ is zero.

Question 20

What are the surface area S and volume V of a box containing long-stemmed roses? The length is 24 inches, the width is 7 inches, and the height is 5 inches.

Accepted Answer

A)  S = 646 in.2; V = 840 in.3 
B)  S = 173 in.2; V = 323 in.3 
C)  S = 840 in.2; V = 646 in.3 
D)  S = 646 in.2; V = 173 in.3 
E)  S = 323 in.2; V = 840 in.3 
A)  S = 646 in.2; V = 840 in.3 
B)  S = 173 in.2; V = 323 in.3 
C)  S = 840 in.2; V = 646 in.3 
D)  S = 646 in.2; V = 173 in.3 
E)  S = 323 in.2; V = 840 in.3

Write the inequality in words. $- 3 < x < - 2$

Evaluate: $- 7 + 14$

Write the reciprocal of the number below. $\frac { 1 } { 2 }$

Evaluate: $8 + ( - 8 )$

Evaluate: $2 + ( - 22 )$

Simplify the following expression. $- 4 ( 4 a - 4 )$

Add: 34.405 + 2.2032 + 425.04

Simplify the expression without a calculator. $\frac { 9 - 5 } { 6 - ( - 1 ) }$

Write in words the expression $- | x |$ .

Divide: $- \frac { 1 } { 4 } \div \frac { 13 } { 2 }$

Evaluate the following expression. $\frac { 30 + \sqrt { 225 } } { 3 }$

Calculate the expression. $| 1 - 3 |$

Use unit analysis to answer how many ounces are in 3 tons. Round to the nearest whole number if necessary. 1 ton = 2,000 pounds 16 ounces = 1 pound

Give the opposite of the number. $- \frac { 1 } { 3 }$

Multiply: $\left( - \frac { 5 } { 6 } \right) \cdot \left( - \frac { 4 } { 13 } \right)$

Write the reciprocal of the number below. $3 \frac { 2 } { 3 }$

Find the quotient of the rational numbers given below. $- \frac { 5 } { 8 } \text { and } - \frac { 13 } { 2 }$

Identify the numerical coefficient in the term. $- 4 x ^ { 2 }$

Explain the meaning of $\infty$ in $( 3 , \infty )$ .

What are the surface area S and volume V of a box containing long-stemmed roses? The length is 24 inches, the width is 7 inches, and the height is 5 inches.

Algebraic Representations

Solving Equations

Ratios, Rates, and Proportional Reasoning

Formulas, Functions, Linear Equations, and Inequalities in Two Variables

Systems of Equations

Polynomial Expressions

Squares and Square Roots

Rational Expressions

Filters

Exam 2: Operations With Real Numbers

Write the inequality in words. −3<x<−2- 3 < x < - 2−3<x<−2

Evaluate: −7+14- 7 + 14−7+14

Write the reciprocal of the number below. 12\frac { 1 } { 2 }21​

Evaluate: 8+(−8)8 + ( - 8 )8+(−8)

Evaluate: 2+(−22)2 + ( - 22 )2+(−22)

Simplify the following expression. −4(4a−4)- 4 ( 4 a - 4 )−4(4a−4)

Add: 34.405 + 2.2032 + 425.04

Simplify the expression without a calculator. 9−56−(−1)\frac { 9 - 5 } { 6 - ( - 1 ) }6−(−1)9−5​

Write in words the expression −∣x∣- | x |−∣x∣ .

Divide: −14÷132- \frac { 1 } { 4 } \div \frac { 13 } { 2 }−41​÷213​

Evaluate the following expression. 30+2253\frac { 30 + \sqrt { 225 } } { 3 }330+225​​

Calculate the expression. ∣1−3∣| 1 - 3 |∣1−3∣

Use unit analysis to answer how many ounces are in 3 tons. Round to the nearest whole number if necessary. 1 ton = 2,000 pounds 16 ounces = 1 pound

Give the opposite of the number. −13- \frac { 1 } { 3 }−31​

Multiply: (−56)⋅(−413)\left( - \frac { 5 } { 6 } \right) \cdot \left( - \frac { 4 } { 13 } \right)(−65​)⋅(−134​)

Write the reciprocal of the number below. 3233 \frac { 2 } { 3 }332​

Find the quotient of the rational numbers given below. −58 and −132- \frac { 5 } { 8 } \text { and } - \frac { 13 } { 2 }−85​ and −213​

Identify the numerical coefficient in the term. −4x2- 4 x ^ { 2 }−4x2

Explain the meaning of ∞\infty∞ in (3,∞)( 3 , \infty )(3,∞) .

What are the surface area S and volume V of a box containing long-stemmed roses? The length is 24 inches, the width is 7 inches, and the height is 5 inches.

Algebraic Representations

Solving Equations

Ratios, Rates, and Proportional Reasoning

Formulas, Functions, Linear Equations, and Inequalities in Two Variables

Systems of Equations

Polynomial Expressions

Squares and Square Roots

Rational Expressions

Filters

Write the inequality in words. $- 3 < x < - 2$

Evaluate: $- 7 + 14$

Write the reciprocal of the number below. $\frac { 1 } { 2 }$

Evaluate: $8 + ( - 8 )$

Evaluate: $2 + ( - 22 )$

Simplify the following expression. $- 4 ( 4 a - 4 )$

Simplify the expression without a calculator. $\frac { 9 - 5 } { 6 - ( - 1 ) }$

Write in words the expression $- | x |$ .

Divide: $- \frac { 1 } { 4 } \div \frac { 13 } { 2 }$

Evaluate the following expression. $\frac { 30 + \sqrt { 225 } } { 3 }$

Calculate the expression. $| 1 - 3 |$

Give the opposite of the number. $- \frac { 1 } { 3 }$

Multiply: $\left( - \frac { 5 } { 6 } \right) \cdot \left( - \frac { 4 } { 13 } \right)$

Write the reciprocal of the number below. $3 \frac { 2 } { 3 }$

Find the quotient of the rational numbers given below. $- \frac { 5 } { 8 } \text { and } - \frac { 13 } { 2 }$

Identify the numerical coefficient in the term. $- 4 x ^ { 2 }$

Explain the meaning of $\infty$ in $( 3 , \infty )$ .