Question 1

Write an absolute value equation whose solution is the set of real numbers 7 units from zero on the number line.

Accepted Answer

A)  $x - 7 = 0$ 
B)  $x + 7 = 0$ 
C)  $| x - 7 | = 0$ 
D)  $| x | = 7$ 
A)  $x - 7 = 0$ 
B)  $x + 7 = 0$ 
C)  $| x - 7 | = 0$ 
D)  $| x | = 7$

Question 2

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $$12 + | - 2 t + 1 | \geq 24$$

Accepted Answer

The answer of Solve the absolute value inequality. Graph the...

Question 3

The sum of two consecutive integers is -75. Find the least of the two integers.

Accepted Answer

A)  -76 
B)  38 
C)  -37 
D)  -38 
A)  -76 
B)  38 
C)  -37 
D)  -38

Question 4

How many gallons of gasoline that is 6% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 4% ethanol?

Accepted Answer

A)  8000 gallons 
B)  1,800 gallons 
C)  5115 gallons 
D)  4000 gallons 
A)  8000 gallons 
B)  1,800 gallons 
C)  5115 gallons 
D)  4000 gallons

Question 5

Solve the absolute value inequality. Write the solution in interval notation. $$| x + 7 | < 13$$

Accepted Answer

A)  $( - 20,6 )$ 
B)  $( - 6,20 )$ 
C)  $( - \infty , - 20 ) \cup ( 6 , \infty )$ 
D)  $( - 6,6 )$ 
A)  $( - 20,6 )$ 
B)  $( - 6,20 )$ 
C)  $( - \infty , - 20 ) \cup ( 6 , \infty )$ 
D)  $( - 6,6 )$

Question 6

Donna invested money in two accounts: one paying 4% simple interest and the other paying 3% simple interest. She invested $3000 more in the 4% account than in the 3% account. If she received $960 in interest at the end of 1 yr how much did she invest in each account?

Accepted Answer

A)  $14,000 at 4% and $11,000 at 3% 
B)  $11,000 at 4% and $14,000 at 3% 
C)  $12,000 at 4% and $15,000 at 3% 
D)  $15,000 at 4% and $12,000 at 3% 
A)  $14,000 at 4% and $11,000 at 3% 
B)  $11,000 at 4% and $14,000 at 3% 
C)  $12,000 at 4% and $15,000 at 3% 
D)  $15,000 at 4% and $12,000 at 3%

Question 7

Solve for the indicated variable. $F = k x - k x _ { 0 }$ for $x$

Accepted Answer

A)  $x = \frac { F + k x _ { 0 } } { k }$ 
B)  $x = \frac { F + k x _ { 0 } } { x _ { 0 } }$ 
C)  $x = \frac { F - k x _ { 0 } } { x _ { 0 } }$ 
D)  $x = \frac { F - k x _ { 0 } } { k }$ 
A)  $x = \frac { F + k x _ { 0 } } { k }$ 
B)  $x = \frac { F + k x _ { 0 } } { x _ { 0 } }$ 
C)  $x = \frac { F - k x _ { 0 } } { x _ { 0 } }$ 
D)  $x = \frac { F - k x _ { 0 } } { k }$

Question 8

Solve the equation: 0.7(x - 10) + 0.5 = 1 - 0.6(20 - 2x) - 0.5.

Accepted Answer

A)  x = 0.10 
B)  No solution 
C)  x = 10 
D)  x = 0 
A)  x = 0.10 
B)  No solution 
C)  x = 10 
D)  x = 0

Question 9

Solve for $t$.
$$6 t - r t = 24$$

Accepted Answer

A)  $t = \frac { 24 } { 6 - r }$ 
B)  $t = \frac { 4 } { 1 - r }$ 
C)  $t = 4 + r$ 
D)  $t = 4 - r$ 
A)  $t = \frac { 24 } { 6 - r }$ 
B)  $t = \frac { 4 } { 1 - r }$ 
C)  $t = 4 + r$ 
D)  $t = 4 - r$

Question 10

Solve the equation: $- 2 = \frac { t } { 1.9 }$

Accepted Answer

A)  $t = - 1.1$ 
B)  $t = - 3.8$ 
C)  $t = 3.8$ 
D)  $t = - 3.9$ 
A)  $t = - 1.1$ 
B)  $t = - 3.8$ 
C)  $t = 3.8$ 
D)  $t = - 3.9$

Question 11

Solve the inequality. Write the solution set in interval notation. $$\frac { 7 z + 1 } { - 3 } \geq z - 5$$

Accepted Answer

A)  $\left[ \frac { 14 } { 5 } , \infty \right)$ 
B)  $\left( - \infty , \frac { 7 } { 5 } \right)$ 
C)  $\left[ \frac { 7 } { 5 } , \infty \right)$ 
D)  $\left( - \infty , \frac { 7 } { 5 } \right]$ 
A)  $\left[ \frac { 14 } { 5 } , \infty \right)$ 
B)  $\left( - \infty , \frac { 7 } { 5 } \right)$ 
C)  $\left[ \frac { 7 } { 5 } , \infty \right)$ 
D)  $\left( - \infty , \frac { 7 } { 5 } \right]$

Question 12

The sum of two numbers is 72. The larger number is 3 less than 3 times the smaller number. Find the smaller number.

Accepted Answer

A)  $\frac { 75 } { 2 }$ 
B)  213 
C)  $\frac { 213 } { 4 }$ 
D)  $\frac { 75 } { 4 }$ 
A)  $\frac { 75 } { 2 }$ 
B)  213 
C)  $\frac { 213 } { 4 }$ 
D)  $\frac { 75 } { 4 }$

Question 13

Solve the absolute value inequality. Write the solution in interval notation. $| 4 t | - 7 < 7$

Accepted Answer

A)  $\left( - \infty , \frac { 7 } { 2 } \right)$ 
B)  $\left( - \frac { 7 } { 2 } , \frac { 7 } { 2 } \right)$ 
C)  $\left( - \infty , - \frac { 7 } { 2 } \right) \cup \left( \frac { 7 } { 2 } , \infty \right)$ 
D)  $\{ 0 \}$ 
A)  $\left( - \infty , \frac { 7 } { 2 } \right)$ 
B)  $\left( - \frac { 7 } { 2 } , \frac { 7 } { 2 } \right)$ 
C)  $\left( - \infty , - \frac { 7 } { 2 } \right) \cup \left( \frac { 7 } { 2 } , \infty \right)$ 
D)  $\{ 0 \}$

Question 14

Solve the inequality and graph the solution. Write the answer in interval notation. Round to the neal $0.2 t - 7 \leq 1.3 t \quad$ and $\quad 4.2 - 6 t > 0.6$ rest tenth.

Accepted Answer

The answer of Solve the inequality and graph the solution....

Question 15

Solve the equation: 0.12 + 0.03(y - 5) = -0.01(y - 4) + 0.02.

Accepted Answer

The answer of Solve the equation: 0.12 + 0.03(y -...

Question 16

One end of a stiff spring is attached firmly to the ceiling of a workshop (see figure). The load F (in pounds) required to stretch the spring by x inches is given by F = kx, where k is the stiffness constant Of the spring.   a. Solve F = kx for x.
b. How far will the spring stretch if its stiffness constant is 5 lb/in and it is loaded with a weight of 25.5 lb? Round to the nearest tenth of an inch.

Accepted Answer

A)  a. $x = \frac { F } { k }$
b. $5.1$ in. 
B)  а. $x = \frac { k } { F }$
b. $0.2$ in. 
C)  a. $x = k F$
b. $127.5 \mathrm { in }$. 
D)  a. $x = F - k$
b. $20.4 \mathrm { in }$. 
A)  a. $x = \frac { F } { k }$
b. $5.1$ in. 
B)  а. $x = \frac { k } { F }$
b. $0.2$ in. 
C)  a. $x = k F$
b. $127.5 \mathrm { in }$. 
D)  a. $x = F - k$
b. $20.4 \mathrm { in }$.

Question 17

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $$| 2 b - 12 | \geq - 20$$

Accepted Answer

A) 
 
$[ - 4,16 ]$ 
B) 
 
{ } 
C) 
 
$(-\infty, \infty)$ 
D) 
 
$( - \infty , - 4 ] \cup [ 16 , \infty )$ 
A) 
 
$[ - 4,16 ]$ 
B) 
 
{ } 
C) 
 
$(-\infty, \infty)$ 
D) 
 
$( - \infty , - 4 ] \cup [ 16 , \infty )$

Question 18

A skydiving company insists that its customers weigh at least 125 pounds, but no more than 285 pounds, including parachute and other gear. If the total weight of all gear is 30 pounds, write and solve a compound inequality that represents the weight range without gear that is acceptable.

Accepted Answer

@#LAT-DLM& 255; Customers have

Question 19

For the fiscal year 2000, stock in giveusmoney.com gained 23%, while stock in Milton Steel increased by 8%. An investor bought a combined total of $6000 of stock in these companies at the
beginning of the year, and made a profit of $600. How much was invested in each company? Round your answers to the nearest cent.

Accepted Answer

giveusmone

Question 20

The revenue R for selling x fleece jackets is given by the equation R = 49.95x. The cost C (in dollars) to produce x jackets is C = 2600 + 15.50x. Find the number of jackets that the company Needs to sell to produce a profit. (Hint: A profit occurs when revenue exceeds cost.)

Accepted Answer

A)  More than 75 
B)  More than 76 
C)  At least 74 
D)  At least 75 
A)  More than 75 
B)  More than 76 
C)  At least 74 
D)  At least 75

Write an absolute value equation whose solution is the set of real numbers 7 units from zero on the number line.

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $12 + | - 2 t + 1 | \geq 24$

The sum of two consecutive integers is -75. Find the least of the two integers.

How many gallons of gasoline that is 6% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 4% ethanol?

Solve the absolute value inequality. Write the solution in interval notation. $| x + 7 | < 13$

Donna invested money in two accounts: one paying 4% simple interest and the other paying 3% simple interest. She invested $3000 more in the 4% account than in the 3% account. If she received $960 in interest at the end of 1 yr how much did she invest in each account?

Solve for the indicated variable. $F = k x - k x _ { 0 }$ for $x$

Solve the equation: 0.7(x - 10) + 0.5 = 1 - 0.6(20 - 2x) - 0.5.

Solve for $t$ . $6 t - r t = 24$

Solve the equation: $- 2 = \frac { t } { 1.9 }$

Solve the inequality. Write the solution set in interval notation. $\frac { 7 z + 1 } { - 3 } \geq z - 5$

The sum of two numbers is 72. The larger number is 3 less than 3 times the smaller number. Find the smaller number.

Solve the absolute value inequality. Write the solution in interval notation. $| 4 t | - 7 < 7$

Solve the inequality and graph the solution. Write the answer in interval notation. Round to the neal $0.2 t - 7 \leq 1.3 t \quad$ and $\quad 4.2 - 6 t > 0.6$ rest tenth.

Solve the equation: 0.12 + 0.03(y - 5) = -0.01(y - 4) + 0.02.

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $| 2 b - 12 | \geq - 20$

A skydiving company insists that its customers weigh at least 125 pounds, but no more than 285 pounds, including parachute and other gear. If the total weight of all gear is 30 pounds, write and solve a compound inequality that represents the weight range without gear that is acceptable.

The revenue R for selling x fleece jackets is given by the equation R = 49.95x. The cost C (in dollars) to produce x jackets is C = 2600 + 15.50x. Find the number of jackets that the company Needs to sell to produce a profit. (Hint: A profit occurs when revenue exceeds cost.)

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

Exam 1: Linear Equations and Inequalities in One Variable

Write an absolute value equation whose solution is the set of real numbers 7 units from zero on the number line.

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. 12+∣−2t+1∣≥2412 + | - 2 t + 1 | \geq 2412+∣−2t+1∣≥24

The sum of two consecutive integers is -75. Find the least of the two integers.

How many gallons of gasoline that is 6% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 4% ethanol?

Solve the absolute value inequality. Write the solution in interval notation. ∣x+7∣<13| x + 7 | < 13∣x+7∣<13

Donna invested money in two accounts: one paying 4% simple interest and the other paying 3% simple interest. She invested $3000 more in the 4% account than in the 3% account. If she received $960 in interest at the end of 1 yr how much did she invest in each account?

Solve for the indicated variable. F=kx−kx0F = k x - k x _ { 0 }F=kx−kx0​ for xxx

Solve the equation: 0.7(x - 10) + 0.5 = 1 - 0.6(20 - 2x) - 0.5.

Solve for ttt . 6t−rt=246 t - r t = 246t−rt=24

Solve the equation: −2=t1.9- 2 = \frac { t } { 1.9 }−2=1.9t​

Solve the inequality. Write the solution set in interval notation. 7z+1−3≥z−5\frac { 7 z + 1 } { - 3 } \geq z - 5−37z+1​≥z−5

The sum of two numbers is 72. The larger number is 3 less than 3 times the smaller number. Find the smaller number.

Solve the absolute value inequality. Write the solution in interval notation. ∣4t∣−7<7| 4 t | - 7 < 7∣4t∣−7<7

Solve the inequality and graph the solution. Write the answer in interval notation. Round to the neal 0.2t−7≤1.3t0.2 t - 7 \leq 1.3 t \quad0.2t−7≤1.3t and 4.2−6t>0.6\quad 4.2 - 6 t > 0.64.2−6t>0.6 rest tenth.

Solve the equation: 0.12 + 0.03(y - 5) = -0.01(y - 4) + 0.02.

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. ∣2b−12∣≥−20| 2 b - 12 | \geq - 20∣2b−12∣≥−20

A skydiving company insists that its customers weigh at least 125 pounds, but no more than 285 pounds, including parachute and other gear. If the total weight of all gear is 30 pounds, write and solve a compound inequality that represents the weight range without gear that is acceptable.

The revenue R for selling x fleece jackets is given by the equation R = 49.95x. The cost C (in dollars) to produce x jackets is C = 2600 + 15.50x. Find the number of jackets that the company Needs to sell to produce a profit. (Hint: A profit occurs when revenue exceeds cost.)

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 the absolute value inequality. Graph the solution set and write the solution in interval notation. $12 + | - 2 t + 1 | \geq 24$

Solve the absolute value inequality. Write the solution in interval notation. $| x + 7 | < 13$

Solve for the indicated variable. $F = k x - k x _ { 0 }$ for $x$

Solve for $t$ . $6 t - r t = 24$

Solve the equation: $- 2 = \frac { t } { 1.9 }$

Solve the inequality. Write the solution set in interval notation. $\frac { 7 z + 1 } { - 3 } \geq z - 5$

Solve the absolute value inequality. Write the solution in interval notation. $| 4 t | - 7 < 7$

Solve the inequality and graph the solution. Write the answer in interval notation. Round to the neal $0.2 t - 7 \leq 1.3 t \quad$ and $\quad 4.2 - 6 t > 0.6$ rest tenth.

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $| 2 b - 12 | \geq - 20$