Question 1

Write the compound inequality as two separate inequalities. $- 6 < x \leq - 5$

Accepted Answer

A) $x > - 6 \text { and } x \leq - 5$ B) $x \geq - 6 \text { and } x \leq - 5$ C) $x > - 5 \text { and } x \leq - 6$ D) $x \geq - 5 \text { and } x \leq - 6$ E) $x > - 6 \text { and } x < - 5$ A) $x > - 6 \text { and } x \leq - 5$ B) $x \geq - 6 \text { and } x \leq - 5$ C) $x > - 5 \text { and } x \leq - 6$ D) $x \geq - 5 \text { and } x \leq - 6$ E) $x > - 6 \text { and } x < - 5$

Question 2

Simplify: $$( y - 8 ) 3$$

Accepted Answer

A)  $3 y - 5$ 
B)  $- 3 y - 24$ 
C)  $3 y - 24$ 
D)  $- 3 y + 24$ 
E)  $- 5 y - 5$ 
A)  $3 y - 5$ 
B)  $- 3 y - 24$ 
C)  $3 y - 24$ 
D)  $- 3 y + 24$ 
E)  $- 5 y - 5$

Question 3

Simplify the expression. Use a calculator as needed. $$3.14 ( 5 ) ^ { 2 } \cdot 7$$

Accepted Answer

A)  550.62 
B)  549.5 
C)  550.95 
D)  551.64 
E)  546.83 
A)  550.62 
B)  549.5 
C)  550.95 
D)  551.64 
E)  546.83

Question 4

Evaluate: (-2 )4(-8)2

Accepted Answer

A)  128 
B)  1024 
C)  -80 
D)  8 
E)  -128 
A)  128 
B)  1024 
C)  -80 
D)  8 
E)  -128

Question 5

Add: 77.05 + 2.66826 + 46.7

Accepted Answer

A)  125.31826 
B)  114.41826 
C)  126.31806 
D)  136.42926 
E)  126.41826 
A)  125.31826 
B)  114.41826 
C)  126.31806 
D)  136.42926 
E)  126.41826

Question 6

Explain the difference between $>$ and $\geq$ .

Accepted Answer

A)  $>$ is strictly greater than, whereas $\geq$ includes the possibility that the quantities are equal. 
B)  $>$ is strictly less than, whereas $\geq$ includes the possibility that the quantities are equal. 
C)  $\geq$ is strictly greater than, whereas $>$ includes the possibility that the quantities are equal. 
D)  $\geq$ is strictly less than, whereas $>$ includes the possibility that the quantities are equal. 
E)  There is no difference between them. 
A)  $>$ is strictly greater than, whereas $\geq$ includes the possibility that the quantities are equal. 
B)  $>$ is strictly less than, whereas $\geq$ includes the possibility that the quantities are equal. 
C)  $\geq$ is strictly greater than, whereas $>$ includes the possibility that the quantities are equal. 
D)  $\geq$ is strictly less than, whereas $>$ includes the possibility that the quantities are equal. 
E)  There is no difference between them.

Question 7

What are the surface area S and volume V of a sphere with radius 3 cm. Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

Accepted Answer

A)  S = 28.3 cm2; V = 84.8 cm3 
B)  S = 37.7 cm2; V = 113.1 cm3 
C)  S = 113.1 cm2; V = 28.3 cm3 
D)  S =37.7 cm2; V = 339.3 cm3 
E)  S = 113.1 cm2; V = 113.1 cm3 
A)  S = 28.3 cm2; V = 84.8 cm3 
B)  S = 37.7 cm2; V = 113.1 cm3 
C)  S = 113.1 cm2; V = 28.3 cm3 
D)  S =37.7 cm2; V = 339.3 cm3 
E)  S = 113.1 cm2; V = 113.1 cm3

Question 8

What is $\frac { 3 } { 8 }$ added to $\frac { 3 } { 5 }$ ?

Accepted Answer

A)  $\frac { 39 } { 40 }$ 
B)  $1 \frac { 39 } { 40 }$ 
C)  $\frac { 39 } { 80 }$ 
D)  $2 \frac { 6 } { 13 }$ 
E)  $\frac { 6 } { 13 }$ 
A)  $\frac { 39 } { 40 }$ 
B)  $1 \frac { 39 } { 40 }$ 
C)  $\frac { 39 } { 80 }$ 
D)  $2 \frac { 6 } { 13 }$ 
E)  $\frac { 6 } { 13 }$

Question 9

Simplify: $$7 n + 8 ( n + 2 ) - 8$$

Accepted Answer

A)  $15 n + 16$ 
B)  $17 n + 8$ 
C)  $15 n + 8$ 
D)  $17 n + 16$ 
E)  $9 n - 8$ 
A)  $15 n + 16$ 
B)  $17 n + 8$ 
C)  $15 n + 8$ 
D)  $17 n + 16$ 
E)  $9 n - 8$

Question 10

Write an inequality to describe the situation. The age, x, is sixteen and above but less than twenty-two.

Accepted Answer

A)  $16 \leq x \leq 22$ 
B)  $16 \leq x < 22$ 
C)  $16 < x < 22$ 
D)  $16 < x \leq 22$ 
E)  $16 \geq x \geq 22$ 
A)  $16 \leq x \leq 22$ 
B)  $16 \leq x < 22$ 
C)  $16 < x < 22$ 
D)  $16 < x \leq 22$ 
E)  $16 \geq x \geq 22$

Question 11

Evaluate: 43

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  64 
C)  4 
D)  3 
E)  12 
A)  $\frac { 3 } { 4 }$ 
B)  64 
C)  4 
D)  3 
E)  12

Question 12

Find the perimeter and area of a triangle. The sides of the triangle are 3.8 cm, 2.2 cm, and 4.5 cm. The height of the triangle (to the 4.5 cm side) is 1.7 cm. Choices are rounded to the nearest tenth.

Accepted Answer

A)  P = 10.5 cm; A = 7.7 cm2 
B)  P = 12.2 cm; A = 7.7 cm2 
C)  P = 10.5 cm; A = 3.8 cm2 
D)  P = 12.2 cm; A = 3.8 cm2 
E)  P = 7.7 cm; A = 10.5 cm2 
A)  P = 10.5 cm; A = 7.7 cm2 
B)  P = 12.2 cm; A = 7.7 cm2 
C)  P = 10.5 cm; A = 3.8 cm2 
D)  P = 12.2 cm; A = 3.8 cm2 
E)  P = 7.7 cm; A = 10.5 cm2

Question 13

Simplify: $$8 y - 2 ( y + 12 )$$

Accepted Answer

A)  $16 y + 14$ 
B)  $16 y - 24$ 
C)  $6 y + 14$ 
D)  $6 y - 24$ 
E)  $18 y + 12$ 
A)  $16 y + 14$ 
B)  $16 y - 24$ 
C)  $6 y + 14$ 
D)  $6 y - 24$ 
E)  $18 y + 12$

Question 14

How many terms are in the expression? $$x ^ { 4 } + 4 x ^ { 3 } + 4 x + 1$$

Accepted Answer

A)  5 
B)  4 
C)  7 
D)  6 
E)  2 
A)  5 
B)  4 
C)  7 
D)  6 
E)  2

Question 15

On a number line, negative numbers are on the left and positive numbers are on the right. Arrange these three numbers as they would appear on a number line: $$- \frac { 7 } { 8 } , - \frac { 3 } { 4 } , - \frac { 5 } { 4 }$$

Accepted Answer

A)  $- \frac { 5 } { 4 } , - \frac { 7 } { 8 } , - \frac { 3 } { 4 }$ 
B)  $- \frac { 7 } { 8 } , - \frac { 3 } { 4 } , - \frac { 5 } { 4 }$ 
C)  $- \frac { 3 } { 4 } , - \frac { 7 } { 8 } , - \frac { 5 } { 4 }$ 
D)  $- \frac { 5 } { 4 } , - \frac { 3 } { 4 } , - \frac { 7 } { 8 }$ 
E)  $- \frac { 7 } { 8 } , - \frac { 5 } { 4 } , - \frac { 3 } { 4 }$ 
A)  $- \frac { 5 } { 4 } , - \frac { 7 } { 8 } , - \frac { 3 } { 4 }$ 
B)  $- \frac { 7 } { 8 } , - \frac { 3 } { 4 } , - \frac { 5 } { 4 }$ 
C)  $- \frac { 3 } { 4 } , - \frac { 7 } { 8 } , - \frac { 5 } { 4 }$ 
D)  $- \frac { 5 } { 4 } , - \frac { 3 } { 4 } , - \frac { 7 } { 8 }$ 
E)  $- \frac { 7 } { 8 } , - \frac { 5 } { 4 } , - \frac { 3 } { 4 }$

Question 16

Evaluate: 19 - (-5) -4

Accepted Answer

A)  14 
B)  18 
C)  20 
D)  15 
E)  40 
A)  14 
B)  18 
C)  20 
D)  15 
E)  40

Question 17

Divide: $$\frac { 5 } { 4 } \div \left( - \frac { 11 } { 4 } \right)$$

Accepted Answer

A)  $- \frac { 55 } { 16 }$ 
B)  $- \frac { 3 } { 8 }$ 
C)  $- \frac { 5 } { 11 }$ 
D)  $- \frac { 1 } { 7 }$ 
E)  $- \frac { 20 } { 7 }$ 
A)  $- \frac { 55 } { 16 }$ 
B)  $- \frac { 3 } { 8 }$ 
C)  $- \frac { 5 } { 11 }$ 
D)  $- \frac { 1 } { 7 }$ 
E)  $- \frac { 20 } { 7 }$

Question 18

Use unit analysis to change 8 cubic yards into cubic inches.

Accepted Answer

A)  373,248 cubic inches 
B)  372,248 cubic inches 
C)  375,248 cubic inches 
D)  370,248 cubic inches 
E)  377,248 cubic inches 
A)  373,248 cubic inches 
B)  372,248 cubic inches 
C)  375,248 cubic inches 
D)  370,248 cubic inches 
E)  377,248 cubic inches

Question 19

Evaluate: -8 - (-28) - 3 - 15

Accepted Answer

A)  2 
B)  54 
C)  -20 
D)  5 
E)  -40 
A)  2 
B)  54 
C)  -20 
D)  5 
E)  -40

Question 20

On a number line, negative numbers are on the left and positive numbers are on the right. Arrange these three numbers as they would appear on a number line: -0.175, -1.45, -1.25

Accepted Answer

A)  -1.45, -0.175, -1.25 
B)  -1.45, -1.25, -0.175 
C)  -1.25, -1.45, -0.175 
D)  -0.175, -1.45, -1.25 
E)  -0.175, -1.25, -1.45 
A)  -1.45, -0.175, -1.25 
B)  -1.45, -1.25, -0.175 
C)  -1.25, -1.45, -0.175 
D)  -0.175, -1.45, -1.25 
E)  -0.175, -1.25, -1.45

Write the compound inequality as two separate inequalities. $- 6 < x \leq - 5$

Simplify: $( y - 8 ) 3$

Simplify the expression. Use a calculator as needed. $3.14 ( 5 ) ^ { 2 } \cdot 7$

Evaluate: (-2 )⁴(-8)²

Add: 77.05 + 2.66826 + 46.7

Explain the difference between $>$ and $\geq$ .

What are the surface area S and volume V of a sphere with radius 3 cm. Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

What is $\frac { 3 } { 8 }$ added to $\frac { 3 } { 5 }$ ?

Simplify: $7 n + 8 ( n + 2 ) - 8$

Write an inequality to describe the situation. The age, x, is sixteen and above but less than twenty-two.

Evaluate: 4³

Find the perimeter and area of a triangle. The sides of the triangle are 3.8 cm, 2.2 cm, and 4.5 cm. The height of the triangle (to the 4.5 cm side) is 1.7 cm. Choices are rounded to the nearest tenth.

Simplify: $8 y - 2 ( y + 12 )$

How many terms are in the expression? $x ^ { 4 } + 4 x ^ { 3 } + 4 x + 1$

On a number line, negative numbers are on the left and positive numbers are on the right. Arrange these three numbers as they would appear on a number line: $- \frac { 7 } { 8 } , - \frac { 3 } { 4 } , - \frac { 5 } { 4 }$

Evaluate: 19 - (-5) -4

Divide: $\frac { 5 } { 4 } \div \left( - \frac { 11 } { 4 } \right)$

Use unit analysis to change 8 cubic yards into cubic inches.

Evaluate: -8 - (-28) - 3 - 15

On a number line, negative numbers are on the left and positive numbers are on the right. Arrange these three numbers as they would appear on a number line: -0.175, -1.45, -1.25

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 compound inequality as two separate inequalities. −6<x≤−5- 6 < x \leq - 5−6<x≤−5

Simplify: (y−8)3( y - 8 ) 3(y−8)3

Simplify the expression. Use a calculator as needed. 3.14(5)2⋅73.14 ( 5 ) ^ { 2 } \cdot 73.14(5)2⋅7

Evaluate: (-2 )4(-8)2

Add: 77.05 + 2.66826 + 46.7

Explain the difference between >>> and ≥\geq≥ .

What are the surface area S and volume V of a sphere with radius 3 cm. Use π\piπ from a calculator. Choices are rounded to the nearest tenth.

What is 38\frac { 3 } { 8 }83​ added to 35\frac { 3 } { 5 }53​ ?

Simplify: 7n+8(n+2)−87 n + 8 ( n + 2 ) - 87n+8(n+2)−8

Write an inequality to describe the situation. The age, x, is sixteen and above but less than twenty-two.

Evaluate: 43

Find the perimeter and area of a triangle. The sides of the triangle are 3.8 cm, 2.2 cm, and 4.5 cm. The height of the triangle (to the 4.5 cm side) is 1.7 cm. Choices are rounded to the nearest tenth.

Simplify: 8y−2(y+12)8 y - 2 ( y + 12 )8y−2(y+12)

How many terms are in the expression? x4+4x3+4x+1x ^ { 4 } + 4 x ^ { 3 } + 4 x + 1x4+4x3+4x+1

On a number line, negative numbers are on the left and positive numbers are on the right. Arrange these three numbers as they would appear on a number line: −78,−34,−54- \frac { 7 } { 8 } , - \frac { 3 } { 4 } , - \frac { 5 } { 4 }−87​,−43​,−45​

Evaluate: 19 - (-5) -4

Divide: 54÷(−114)\frac { 5 } { 4 } \div \left( - \frac { 11 } { 4 } \right)45​÷(−411​)

Use unit analysis to change 8 cubic yards into cubic inches.

Evaluate: -8 - (-28) - 3 - 15

On a number line, negative numbers are on the left and positive numbers are on the right. Arrange these three numbers as they would appear on a number line: -0.175, -1.45, -1.25

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 compound inequality as two separate inequalities. $- 6 < x \leq - 5$

Simplify: $( y - 8 ) 3$

Simplify the expression. Use a calculator as needed. $3.14 ( 5 ) ^ { 2 } \cdot 7$

Evaluate: (-2 )⁴(-8)²

Explain the difference between $>$ and $\geq$ .

What are the surface area S and volume V of a sphere with radius 3 cm. Use $\pi$ from a calculator. Choices are rounded to the nearest tenth.

What is $\frac { 3 } { 8 }$ added to $\frac { 3 } { 5 }$ ?

Simplify: $7 n + 8 ( n + 2 ) - 8$

Evaluate: 4³

Simplify: $8 y - 2 ( y + 12 )$

How many terms are in the expression? $x ^ { 4 } + 4 x ^ { 3 } + 4 x + 1$

On a number line, negative numbers are on the left and positive numbers are on the right. Arrange these three numbers as they would appear on a number line: $- \frac { 7 } { 8 } , - \frac { 3 } { 4 } , - \frac { 5 } { 4 }$

Divide: $\frac { 5 } { 4 } \div \left( - \frac { 11 } { 4 } \right)$