Question 1

The tax rate on a used car in Overshoe County is 7%. What is the sales tax on a sport utility with a selling price of $15,000?

Accepted Answer

A)  $1050.00 
B)  $10,500.00 
C)  $13,950.00 
D)  $525.00 
A)  $1050.00 
B)  $10,500.00 
C)  $13,950.00 
D)  $525.00 A

Question 2

Is the equation conditional, an identity, or a contradiction? y - 5 + 3y = 7y + 4

Accepted Answer

A)  Identity 
B)  Contradiction 
C)  Conditional 
A)  Identity 
B)  Contradiction 
C)  Conditional C

Question 3

Solve for the indicated variable. $R = k A B ^ { 3 }$ for $B ^ { 3 }$

Accepted Answer

A)  $B ^ { 3 } = k A R$ 
B)  $B ^ { 3 } = \frac { R } { k A }$ 
C)  $B ^ { 3 } = \frac { k A } { R }$ 
D)  $B ^ { 3 } = \frac { k R } { A }$ 
A)  $B ^ { 3 } = k A R$ 
B)  $B ^ { 3 } = \frac { R } { k A }$ 
C)  $B ^ { 3 } = \frac { k A } { R }$ 
D)  $B ^ { 3 } = \frac { k R } { A }$ B

Question 4

Is the equation conditional, an identity, or a contradiction? $$3 ( z + 2 ) - 2 z = - 2 \left( - \frac { 1 } { 2 } z + 1 \right) + 8$$

Accepted Answer

A)  Conditional 
B)  Contradiction 
C)  Identity 
A)  Conditional 
B)  Contradiction 
C)  Identity

Question 5

Solve for x and then use its value to find the measure of each angle.

(Figure is not necessarily drawn to scale.)

Accepted Answer

A)  $63 ^ { \circ } , 27 ^ { \circ }$ 
B)  $65 ^ { \circ } , 25 ^ { \circ }$ 
C)  $62 ^ { \circ } , 28 ^ { \circ }$ 
D)  $67 ^ { \circ } , 23 ^ { \circ }$ 
A)  $63 ^ { \circ } , 27 ^ { \circ }$ 
B)  $65 ^ { \circ } , 25 ^ { \circ }$ 
C)  $62 ^ { \circ } , 28 ^ { \circ }$ 
D)  $67 ^ { \circ } , 23 ^ { \circ }$

Question 6

Solve the equation: $$\frac { 5 } { 4 } y - \frac { 1 } { 3 } = \frac { 1 } { 2 } ( 3 y - 1 ) .$$

Accepted Answer

A)  $y = \frac { 2 } { 3 }$ 
B)  $y = - 10$ 
C)  $y = 0$ 
D)  $y = \frac { 68 } { 201 }$ 
A)  $y = \frac { 2 } { 3 }$ 
B)  $y = - 10$ 
C)  $y = 0$ 
D)  $y = \frac { 68 } { 201 }$

Question 7

Solve the inequality. Write the answer in interval notation. $5 < 3 x$ or $- 6 + 2 x \leq - 15$

Accepted Answer

A)  $\left[ - \frac { 5 } { 3 } , \frac { 9 } { 2 } \right]$ 
B)  $( - \infty , \infty )$ 
C)  $\left[ - \infty , - \frac { 9 } { 2 } \right] \cup \left( \frac { 5 } { 3 } , \infty \right)$ 
D)  $\left[ - \frac { 9 } { 2 } , \frac { 5 } { 3 } \right]$ 
A)  $\left[ - \frac { 5 } { 3 } , \frac { 9 } { 2 } \right]$ 
B)  $( - \infty , \infty )$ 
C)  $\left[ - \infty , - \frac { 9 } { 2 } \right] \cup \left( \frac { 5 } { 3 } , \infty \right)$ 
D)  $\left[ - \frac { 9 } { 2 } , \frac { 5 } { 3 } \right]$

Question 8

Write an absolute value inequality equivalent to the expression:
"All real numbers whose distance from 0 is more than 20."

Accepted Answer

The answer of Write an absolute value inequality equivalent to...

Question 9

Solve for x, and then find the measures of the two angles.   (Figure is not necessarily drawn to scale.)

Accepted Answer

The answer of Solve for x, and then find the...

Question 10

Solve the absolute value inequality. Write the solution in interval notation. $$| x + 3 | < 11$$

Accepted Answer

A)  $( - 8,14 )$ 
B)  $( - 8,8 )$ 
C)  $( - \infty , - 14 ) \cup ( 8 , \infty )$ 
D)  $( - 14,8 )$ 
A)  $( - 8,14 )$ 
B)  $( - 8,8 )$ 
C)  $( - \infty , - 14 ) \cup ( 8 , \infty )$ 
D)  $( - 14,8 )$

Question 11

The sum of two consecutive even integers is 158. Find the least of the two integers.

Accepted Answer

A)  156 
B)  -78 
C)  80 
D)  78 
A)  156 
B)  -78 
C)  80 
D)  78

Question 12

Solve the absolute value equation. $$| - 5 x + 4 | - 12 = - 4$$

Accepted Answer

A)  $\left\{ - \frac { 4 } { 5 } , \frac { 12 } { 5 } \right\}$ 
B)  $\left\{ - \frac { 4 } { 5 } , - \frac { 12 } { 5 } \right\}$ 
C)  $\left\{ - \frac { 4 } { 5 } \right\}$ 
D)  {  } 
A)  $\left\{ - \frac { 4 } { 5 } , \frac { 12 } { 5 } \right\}$ 
B)  $\left\{ - \frac { 4 } { 5 } , - \frac { 12 } { 5 } \right\}$ 
C)  $\left\{ - \frac { 4 } { 5 } \right\}$ 
D)  {  }

Question 13

Solve the inequality. Graph the solution set and write the solution set in interval notation. $$\frac { t } { 4 } - 2 > \frac { 5 } { 3 } - \frac { t } { 2 }$$

Accepted Answer

The answer of Solve the inequality. Graph the solution set...

Question 14

The mass of an object is equal to its density times its volume, or m = DV. 
a. Solve this equation for $D$.
b. The mass of a sample of iron ore is $9.92$ grams and its volume is $3.1 \mathrm {~cm} ^ { 3 }$. Find the density of the o Round to one decimal place.

Accepted Answer

A)  a. $D = m - V$
b. $6.8 \mathrm {~g} / \mathrm { cm } ^ { 3 }$ 
B)  а. $D = \frac { V } { m }$
b. $0.3 \mathrm {~g} / \mathrm { cm } ^ { 3 }$ 
C)  a. $D = \frac { m } { V }$
b. $3.2 \mathrm {~g} / \mathrm { cm } ^ { 3 }$ 
D)  a. $D = m V$
b. $30.8 \mathrm {~g} / \mathrm { cm } ^ { 3 }$ 
A)  a. $D = m - V$
b. $6.8 \mathrm {~g} / \mathrm { cm } ^ { 3 }$ 
B)  а. $D = \frac { V } { m }$
b. $0.3 \mathrm {~g} / \mathrm { cm } ^ { 3 }$ 
C)  a. $D = \frac { m } { V }$
b. $3.2 \mathrm {~g} / \mathrm { cm } ^ { 3 }$ 
D)  a. $D = m V$
b. $30.8 \mathrm {~g} / \mathrm { cm } ^ { 3 }$

Question 15

Express the equation in the form y = mx + b by solving for y. $- 2 x - y = 10$

Accepted Answer

A)  $y = 2 x - 10$ 
B)  $y = 2 x + 10$ 
C)  $y = - 2 x + 10$ 
D)  $y = - 2 x - 10$ 
A)  $y = 2 x - 10$ 
B)  $y = 2 x + 10$ 
C)  $y = - 2 x + 10$ 
D)  $y = - 2 x - 10$

Question 16

Solve the equation: y + 5 = 7.

Accepted Answer

The answer of Solve the equation: y + 5 =...

Question 17

Solve the absolute value inequality. Write the solution in interval notation. $$| y | > 17$$

Accepted Answer

A)  $( - \infty , - 17 ) \cup ( 17 , \infty )$ 
B)  $( - 17,17 )$ 
C)  $( 17 , \infty )$ 
D)  $( - \infty , - 17 )$ 
A)  $( - \infty , - 17 ) \cup ( 17 , \infty )$ 
B)  $( - 17,17 )$ 
C)  $( 17 , \infty )$ 
D)  $( - \infty , - 17 )$

Question 18

Solve the inequality. Write the solution set in interval notation.
$$2 + 7 z < 6 z + - 14$$

Accepted Answer

A)  $( - 16 , \infty )$ 
B)  $( - \infty , - 16 )$ 
C)  $( - \infty , - 12 )$ 
D)  $( - \infty , - 16 ]$ 
A)  $( - 16 , \infty )$ 
B)  $( - \infty , - 16 )$ 
C)  $( - \infty , - 12 )$ 
D)  $( - \infty , - 16 ]$

Question 19

Solve for the indicated variable. $A = \frac { 1 } { 2 } b h$ for $b$

Accepted Answer

A)  $b = 2 A h$ 
B)  $b = \frac { 2 A } { h }$ 
C)  $b = \frac { 2 h } { A }$ 
D)  $b = \frac { A } { 2 h }$ 
A)  $b = 2 A h$ 
B)  $b = \frac { 2 A } { h }$ 
C)  $b = \frac { 2 h } { A }$ 
D)  $b = \frac { A } { 2 h }$

Question 20

Solve the absolute value equation. $$| 2 v | = | - 6 - 8 v |$$

Accepted Answer

A)  $\left\{ \frac { 5 } { 3 } , 0 \right\}$ 
B)  $\{ 0,14 \}$ 
C)  $\left\{ - 1 , - \frac { 3 } { 5 } \right\}$ 
D)  $\{ - 1 \}$ 
A)  $\left\{ \frac { 5 } { 3 } , 0 \right\}$ 
B)  $\{ 0,14 \}$ 
C)  $\left\{ - 1 , - \frac { 3 } { 5 } \right\}$ 
D)  $\{ - 1 \}$

The tax rate on a used car in Overshoe County is 7%. What is the sales tax on a sport utility with a selling price of $15,000?

Is the equation conditional, an identity, or a contradiction? y - 5 + 3y = 7y + 4

Solve for the indicated variable. $R = k A B ^ { 3 }$ for $B ^ { 3 }$

Is the equation conditional, an identity, or a contradiction? $3 ( z + 2 ) - 2 z = - 2 \left( - \frac { 1 } { 2 } z + 1 \right) + 8$

Solve for x and then use its value to find the measure of each angle. (Figure is not necessarily drawn to scale.)

Solve the equation: $\frac { 5 } { 4 } y - \frac { 1 } { 3 } = \frac { 1 } { 2 } ( 3 y - 1 ) .$

Solve the inequality. Write the answer in interval notation. $5 < 3 x$ or $- 6 + 2 x \leq - 15$

Write an absolute value inequality equivalent to the expression: "All real numbers whose distance from 0 is more than 20."

Solve for x, and then find the measures of the two angles. (Figure is not necessarily drawn to scale.)

Solve the absolute value inequality. Write the solution in interval notation. $| x + 3 | < 11$

The sum of two consecutive even integers is 158. Find the least of the two integers.

Solve the absolute value equation. $| - 5 x + 4 | - 12 = - 4$

Solve the inequality. Graph the solution set and write the solution set in interval notation. $\frac { t } { 4 } - 2 > \frac { 5 } { 3 } - \frac { t } { 2 }$

The mass of an object is equal to its density times its volume, or m = DV. a. Solve this equation for $D$ . b. The mass of a sample of iron ore is $9.92$ grams and its volume is $3.1 \mathrm {~cm} ^ { 3 }$ . Find the density of the o Round to one decimal place.

Express the equation in the form y = mx + b by solving for y. $- 2 x - y = 10$

Solve the equation: y + 5 = 7.

Solve the absolute value inequality. Write the solution in interval notation. $| y | > 17$

Solve the inequality. Write the solution set in interval notation. $2 + 7 z < 6 z + - 14$

Solve for the indicated variable. $A = \frac { 1 } { 2 } b h$ for $b$

Solve the absolute value equation. $| 2 v | = | - 6 - 8 v |$

Linear Equations in Two Variables and Functions

Systems of Linear Equations and Inequalities

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Rational Expressions and Rational Equations

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Exam 1: Linear Equations and Inequalities in One Variable

The tax rate on a used car in Overshoe County is 7%. What is the sales tax on a sport utility with a selling price of $15,000?

Is the equation conditional, an identity, or a contradiction? y - 5 + 3y = 7y + 4

Solve for the indicated variable. R=kAB3R = k A B ^ { 3 }R=kAB3 for B3B ^ { 3 }B3

Is the equation conditional, an identity, or a contradiction? 3(z+2)−2z=−2(−12z+1)+83 ( z + 2 ) - 2 z = - 2 \left( - \frac { 1 } { 2 } z + 1 \right) + 83(z+2)−2z=−2(−21​z+1)+8

Solve for x and then use its value to find the measure of each angle. (Figure is not necessarily drawn to scale.)

Solve the equation: 54y−13=12(3y−1).\frac { 5 } { 4 } y - \frac { 1 } { 3 } = \frac { 1 } { 2 } ( 3 y - 1 ) .45​y−31​=21​(3y−1).

Solve the inequality. Write the answer in interval notation. 5<3x5 < 3 x5<3x or −6+2x≤−15- 6 + 2 x \leq - 15−6+2x≤−15

Write an absolute value inequality equivalent to the expression: "All real numbers whose distance from 0 is more than 20."

Solve for x, and then find the measures of the two angles. (Figure is not necessarily drawn to scale.)

Solve the absolute value inequality. Write the solution in interval notation. ∣x+3∣<11| x + 3 | < 11∣x+3∣<11

The sum of two consecutive even integers is 158. Find the least of the two integers.

Solve the absolute value equation. ∣−5x+4∣−12=−4| - 5 x + 4 | - 12 = - 4∣−5x+4∣−12=−4

Solve the inequality. Graph the solution set and write the solution set in interval notation. t4−2>53−t2\frac { t } { 4 } - 2 > \frac { 5 } { 3 } - \frac { t } { 2 }4t​−2>35​−2t​

The mass of an object is equal to its density times its volume, or m = DV. a. Solve this equation for DDD . b. The mass of a sample of iron ore is 9.929.929.92 grams and its volume is 3.1 cm33.1 \mathrm {~cm} ^ { 3 }3.1 cm3 . Find the density of the o Round to one decimal place.

Express the equation in the form y = mx + b by solving for y. −2x−y=10- 2 x - y = 10−2x−y=10

Solve the equation: y + 5 = 7.

Solve the absolute value inequality. Write the solution in interval notation. ∣y∣>17| y | > 17∣y∣>17

Solve the inequality. Write the solution set in interval notation. 2+7z<6z+−142 + 7 z < 6 z + - 142+7z<6z+−14

Solve for the indicated variable. A=12bhA = \frac { 1 } { 2 } b hA=21​bh for bbb

Solve the absolute value equation. ∣2v∣=∣−6−8v∣| 2 v | = | - 6 - 8 v |∣2v∣=∣−6−8v∣

Linear Equations in Two Variables and Functions

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

Solve for the indicated variable. $R = k A B ^ { 3 }$ for $B ^ { 3 }$

Is the equation conditional, an identity, or a contradiction? $3 ( z + 2 ) - 2 z = - 2 \left( - \frac { 1 } { 2 } z + 1 \right) + 8$

Solve the equation: $\frac { 5 } { 4 } y - \frac { 1 } { 3 } = \frac { 1 } { 2 } ( 3 y - 1 ) .$

Solve the inequality. Write the answer in interval notation. $5 < 3 x$ or $- 6 + 2 x \leq - 15$

Solve the absolute value inequality. Write the solution in interval notation. $| x + 3 | < 11$

Solve the absolute value equation. $| - 5 x + 4 | - 12 = - 4$

Solve the inequality. Graph the solution set and write the solution set in interval notation. $\frac { t } { 4 } - 2 > \frac { 5 } { 3 } - \frac { t } { 2 }$

The mass of an object is equal to its density times its volume, or m = DV. a. Solve this equation for $D$ . b. The mass of a sample of iron ore is $9.92$ grams and its volume is $3.1 \mathrm {~cm} ^ { 3 }$ . Find the density of the o Round to one decimal place.

Express the equation in the form y = mx + b by solving for y. $- 2 x - y = 10$

Solve the absolute value inequality. Write the solution in interval notation. $| y | > 17$

Solve the inequality. Write the solution set in interval notation. $2 + 7 z < 6 z + - 14$

Solve for the indicated variable. $A = \frac { 1 } { 2 } b h$ for $b$

Solve the absolute value equation. $| 2 v | = | - 6 - 8 v |$