Question 1

Simplify the expression (9 cm)2. Use the definition of positive integer exponents.

Accepted Answer

A)  18 cm2 
B)  81 cm 
C)  18 cm 
D)  81 cm2 
E)  9 cm2 
A)  18 cm2 
B)  81 cm 
C)  18 cm 
D)  81 cm2 
E)  9 cm2

Question 2

Find the difference in elevation between the given highest and lowest points. South America: Mt. Aconcagua, 6,960 meters, and Valdes Peninsula, -40 meters.

Accepted Answer

A)  7,000 meters 
B)  6,990 meters 
C)  6,980 meters 
D)  7,030 meters 
E)  7,040 meters 
A)  7,000 meters 
B)  6,990 meters 
C)  6,980 meters 
D)  7,030 meters 
E)  7,040 meters

Question 3

Use unit analysis to answer how many minutes are in 7 years, assuming that each year has 365 days.

Accepted Answer

A)  3,689,200 minutes 
B)  3,679,200 minutes 
C)  3,699,200 minutes 
D)  3,709,200 minutes 
E)  3,719,200 minutes 
A)  3,689,200 minutes 
B)  3,679,200 minutes 
C)  3,699,200 minutes 
D)  3,709,200 minutes 
E)  3,719,200 minutes

Question 4

Add: $$\frac { 7 } { 20 } + \frac { 1 } { 18 }$$

Accepted Answer

A)  $1 \frac { 73 } { 180 }$ 
B)  $\frac { 73 } { 180 }$ 
C)  $\frac { 73 } { 360 }$ 
D)  $2 \frac { 73 } { 360 }$ 
E)  $1 \frac { 73 } { 360 }$ 
A)  $1 \frac { 73 } { 180 }$ 
B)  $\frac { 73 } { 180 }$ 
C)  $\frac { 73 } { 360 }$ 
D)  $2 \frac { 73 } { 360 }$ 
E)  $1 \frac { 73 } { 360 }$

Question 5

Write an inequality to describe the situation. x is greater than -7 and less than or equal to 7

Accepted Answer

A)  $- 7 < x \leq 7$ 
B)  $- 7 \leq x \leq 7$ 
C)  $- 7 < x < 7$ 
D)  $- 7 \leq x < 7$ 
E)  $7 < x \leq - 7$ 
A)  $- 7 < x \leq 7$ 
B)  $- 7 \leq x \leq 7$ 
C)  $- 7 < x < 7$ 
D)  $- 7 \leq x < 7$ 
E)  $7 < x \leq - 7$

Question 6

Evaluate: -12 - 11

Accepted Answer

A)  23 
B)  1 
C)  -23 
D)  -1 
E)  132 
A)  23 
B)  1 
C)  -23 
D)  -1 
E)  132

Question 7

Simplify the expression without a calculator. $$| 2 - 8 | - | 8 - 7 |$$

Accepted Answer

A)  5 
B)  6 
C)  3 
D)  8 
E)  1 
A)  5 
B)  6 
C)  3 
D)  8 
E)  1

Question 8

Simplify the following expression. $$- 4 ( z + 10 )$$

Accepted Answer

A)  $- 4 z + 40$ 
B)  $- 4 z - 10$ 
C)  $- 4 z + 10$ 
D)  $- 4 z - 40$ 
E)  $4 z + 40$ 
A)  $- 4 z + 40$ 
B)  $- 4 z - 10$ 
C)  $- 4 z + 10$ 
D)  $- 4 z - 40$ 
E)  $4 z + 40$

Question 9

Write the pair of inequalities as a compound inequality. Use only $<$ or $\leq$ . $x \leq - 4 \text { and } - 7 < x$

Accepted Answer

A)  $- 7 < x \leq - 4$ 
B)  $- 4 < x \leq - 7$ 
C)  $- 7 \leq x < - 4$ 
D)  $- 4 \leq x < - 7$ 
E)  $- 4 \leq x \leq - 7$ 
A)  $- 7 < x \leq - 4$ 
B)  $- 4 < x \leq - 7$ 
C)  $- 7 \leq x < - 4$ 
D)  $- 4 \leq x < - 7$ 
E)  $- 4 \leq x \leq - 7$

Question 10

Simplify: $$6 x + 8 ( x + 3 )$$

Accepted Answer

A)  $48 x + 24$ 
B)  $14 x + 24$ 
C)  $14 x + 5$ 
D)  $48 x + 11$ 
E)  $17 x + 11$ 
A)  $48 x + 24$ 
B)  $14 x + 24$ 
C)  $14 x + 5$ 
D)  $48 x + 11$ 
E)  $17 x + 11$

Question 11

Use unit analysis to answer the question. Fact: 231 cubic inches = 1 gallon
Suppose molasses is stored in a cylindrical tank 55 feet high and 100 feet in diameter. What is the volume of such a tank in gallons? Choices are rounded to the nearest ten thousand.

Accepted Answer

A)  12,930,000 gal 
B)  3,230,000 gal 
C)  60,000 gal 
D)  3,330,000 gal 
E)  3,430,000 gal 
A)  12,930,000 gal 
B)  3,230,000 gal 
C)  60,000 gal 
D)  3,330,000 gal 
E)  3,430,000 gal

Question 12

Simplify the following expression. $$7 ( x - 6 )$$

Accepted Answer

A)  $7 x + 42$ 
B)  $7 x - 6$ 
C)  $7 x + 6$ 
D)  $7 x - 42$ 
E)  $- 7 x + 42$ 
A)  $7 x + 42$ 
B)  $7 x - 6$ 
C)  $7 x + 6$ 
D)  $7 x - 42$ 
E)  $- 7 x + 42$

Question 13

Simplify: $$- 2 y + 12 ( y - 5 )$$

Accepted Answer

A)  $14 y - 60$ 
B)  $10 y - 60$ 
C)  $10 y + 7$ 
D)  $14 y + 7$ 
E)  $- 10 y + 60$ 
A)  $14 y - 60$ 
B)  $10 y - 60$ 
C)  $10 y + 7$ 
D)  $14 y + 7$ 
E)  $- 10 y + 60$

Question 14

Identify the base for the exponent. $$t m ^ { 2 }$$

Accepted Answer

A)  $t m$ 
B)  $t$ 
C)  $m$ 
D)  3 
E)  $t m ^ { 2 }$ 
A)  $t m$ 
B)  $t$ 
C)  $m$ 
D)  3 
E)  $t m ^ { 2 }$

Question 15

Divide: $$\left( - \frac { 5 } { 2 } \right) \div \left( - \frac { 6 } { 11 } \right)$$

Accepted Answer

A)  $- \frac { 3 } { 2 }$ 
B)  $\frac { 13 } { 3 }$ 
C)  $- \frac { 1 } { 9 }$ 
D)  $\frac { 55 } { 12 }$ 
E)  $\frac { 11 } { 9 }$ 
A)  $- \frac { 3 } { 2 }$ 
B)  $\frac { 13 } { 3 }$ 
C)  $- \frac { 1 } { 9 }$ 
D)  $\frac { 55 } { 12 }$ 
E)  $\frac { 11 } { 9 }$

Question 16

Write the inequality in interval notation. $- 4 < x \leq 2$

Accepted Answer

A)  $( - 4,2 ]$ 
B)  $[ - 4,2 ]$ 
C)  $( - 4,2 )$ 
D)  $[ - 4,2 )$ 
E)  $[ - 2,4 ]$ 
A)  $( - 4,2 ]$ 
B)  $[ - 4,2 ]$ 
C)  $( - 4,2 )$ 
D)  $[ - 4,2 )$ 
E)  $[ - 2,4 ]$

Question 17

What is the volume of a cereal box with depth 8 centimeters, width 21 centimeters, and height 32 centimeters?

Accepted Answer

A)  5,386 cm3 
B)  5,376 cm3 
C)  5,326 cm3 
D)  5,476 cm3 
E)  4,876 cm3 
A)  5,386 cm3 
B)  5,376 cm3 
C)  5,326 cm3 
D)  5,476 cm3 
E)  4,876 cm3

Question 18

Calculate the expression. $$- | - 4 |$$

Accepted Answer

A)  4 
B)  $- 4$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  5 
A)  4 
B)  $- 4$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  5

Question 19

Find the circumference (perimeter) and area of a circle with radius 2.5 feet. Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

Accepted Answer

A)  C = 15.7 ft; A = 19.6 ft2 
B)  C = 7.9 ft; A = 19.6 ft2 
C)  C = 5 ft; A = 6.3 ft2 
D)  C = 10 ft; A = 6.3 ft2 
E)  C = 19.6 ft; A = 15.7 ft2 
A)  C = 15.7 ft; A = 19.6 ft2 
B)  C = 7.9 ft; A = 19.6 ft2 
C)  C = 5 ft; A = 6.3 ft2 
D)  C = 10 ft; A = 6.3 ft2 
E)  C = 19.6 ft; A = 15.7 ft2

Question 20

Use unit analysis to change 5,900,000 ounces into tons. Round your answer to one decimal place.

Accepted Answer

A)  184.4 tons 
B)  174.4 tons 
C)  164.4 tons 
D)  154.4 tons 
E)  224.4 tons 
A)  184.4 tons 
B)  174.4 tons 
C)  164.4 tons 
D)  154.4 tons 
E)  224.4 tons

Simplify the expression (9 cm)². Use the definition of positive integer exponents.

Find the difference in elevation between the given highest and lowest points. South America: Mt. Aconcagua, 6,960 meters, and Valdes Peninsula, -40 meters.

Use unit analysis to answer how many minutes are in 7 years, assuming that each year has 365 days.

Add: $\frac { 7 } { 20 } + \frac { 1 } { 18 }$

Write an inequality to describe the situation. x is greater than -7 and less than or equal to 7

Evaluate: -12 - 11

Simplify the expression without a calculator. $| 2 - 8 | - | 8 - 7 |$

Simplify the following expression. $- 4 ( z + 10 )$

Write the pair of inequalities as a compound inequality. Use only $<$ or $\leq$ . $x \leq - 4 \text { and } - 7 < x$

Simplify: $6 x + 8 ( x + 3 )$

Use unit analysis to answer the question. Fact: 231 cubic inches = 1 gallon Suppose molasses is stored in a cylindrical tank 55 feet high and 100 feet in diameter. What is the volume of such a tank in gallons? Choices are rounded to the nearest ten thousand.

Simplify the following expression. $7 ( x - 6 )$

Simplify: $- 2 y + 12 ( y - 5 )$

Identify the base for the exponent. $t m ^ { 2 }$

Divide: $\left( - \frac { 5 } { 2 } \right) \div \left( - \frac { 6 } { 11 } \right)$

Write the inequality in interval notation. $- 4 < x \leq 2$

What is the volume of a cereal box with depth 8 centimeters, width 21 centimeters, and height 32 centimeters?

Calculate the expression. $- | - 4 |$

Find the circumference (perimeter) and area of a circle with radius 2.5 feet. Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

Use unit analysis to change 5,900,000 ounces into tons. Round your answer to one decimal place.

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

Simplify the expression (9 cm)2. Use the definition of positive integer exponents.

Find the difference in elevation between the given highest and lowest points. South America: Mt. Aconcagua, 6,960 meters, and Valdes Peninsula, -40 meters.

Use unit analysis to answer how many minutes are in 7 years, assuming that each year has 365 days.

Add: 720+118\frac { 7 } { 20 } + \frac { 1 } { 18 }207​+181​

Write an inequality to describe the situation. x is greater than -7 and less than or equal to 7

Evaluate: -12 - 11

Simplify the expression without a calculator. ∣2−8∣−∣8−7∣| 2 - 8 | - | 8 - 7 |∣2−8∣−∣8−7∣

Simplify the following expression. −4(z+10)- 4 ( z + 10 )−4(z+10)

Write the pair of inequalities as a compound inequality. Use only <<< or ≤\leq≤ . x≤−4 and −7<xx \leq - 4 \text { and } - 7 < xx≤−4 and −7<x

Simplify: 6x+8(x+3)6 x + 8 ( x + 3 )6x+8(x+3)

Use unit analysis to answer the question. Fact: 231 cubic inches = 1 gallon Suppose molasses is stored in a cylindrical tank 55 feet high and 100 feet in diameter. What is the volume of such a tank in gallons? Choices are rounded to the nearest ten thousand.

Simplify the following expression. 7(x−6)7 ( x - 6 )7(x−6)

Simplify: −2y+12(y−5)- 2 y + 12 ( y - 5 )−2y+12(y−5)

Identify the base for the exponent. tm2t m ^ { 2 }tm2

Divide: (−52)÷(−611)\left( - \frac { 5 } { 2 } \right) \div \left( - \frac { 6 } { 11 } \right)(−25​)÷(−116​)

Write the inequality in interval notation. −4<x≤2- 4 < x \leq 2−4<x≤2

What is the volume of a cereal box with depth 8 centimeters, width 21 centimeters, and height 32 centimeters?

Calculate the expression. −∣−4∣- | - 4 |−∣−4∣

Find the circumference (perimeter) and area of a circle with radius 2.5 feet. Use π\piπ from a calculator. Choices are rounded to the nearest tenth.

Use unit analysis to change 5,900,000 ounces into tons. Round your answer to one decimal place.

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

Simplify the expression (9 cm)². Use the definition of positive integer exponents.

Add: $\frac { 7 } { 20 } + \frac { 1 } { 18 }$

Simplify the expression without a calculator. $| 2 - 8 | - | 8 - 7 |$

Simplify the following expression. $- 4 ( z + 10 )$

Write the pair of inequalities as a compound inequality. Use only $<$ or $\leq$ . $x \leq - 4 \text { and } - 7 < x$

Simplify: $6 x + 8 ( x + 3 )$

Simplify the following expression. $7 ( x - 6 )$

Simplify: $- 2 y + 12 ( y - 5 )$

Identify the base for the exponent. $t m ^ { 2 }$

Divide: $\left( - \frac { 5 } { 2 } \right) \div \left( - \frac { 6 } { 11 } \right)$

Write the inequality in interval notation. $- 4 < x \leq 2$

Calculate the expression. $- | - 4 |$

Find the circumference (perimeter) and area of a circle with radius 2.5 feet. Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.