Question 1

Solve the inequality: $\frac { x } { 8 } + \frac { x } { 3 } \geq 17$

Accepted Answer

A)  $x \geq \frac { 8 } { 3 }$ 
B)  $x \geq \frac { 408 } { 11 }$ 
C)  $x \geq \frac { 17 } { 11 }$ 
D)  $x \geq 204$ 
E)  $x \geq 93.5$ 
A)  $x \geq \frac { 8 } { 3 }$ 
B)  $x \geq \frac { 408 } { 11 }$ 
C)  $x \geq \frac { 17 } { 11 }$ 
D)  $x \geq 204$ 
E)  $x \geq 93.5$

Question 2

Solve $| x | = - 82$ , if possible.

Accepted Answer

A)  $x = 82$ , $x = - 82$ 
B)  $x = - 82$ 
C)  $x = 41$ 
D)  $x = 82$ 
E) no solution 
A)  $x = 82$ , $x = - 82$ 
B)  $x = - 82$ 
C)  $x = 41$ 
D)  $x = 82$ 
E) no solution

Question 3

Solve the linear equation $6 ( y + 3 ) = 8 y - 2 y + 6$ for y .

Accepted Answer

A)  y=1 
B)  y=9 
C)  y=5 
D)  y=0 
E) no solution 
A)  y=1 
B)  y=9 
C)  y=5 
D)  y=0 
E) no solution

Question 4

Solve the equation $| 9 x - 6 | + 12 = 29$ .

Accepted Answer

A)  $- \frac { 47 } { 9 } , \frac { 35 } { 9 }$ 
B)  $\frac { 47 } { 9 } , - \frac { 35 } { 9 }$ 
C)  $- \frac { 23 } { 9 } , \frac { 11 } { 9 }$ 
D)  $\frac { 23 } { 9 } , - \frac { 11 } { 9 }$ 
E) no solution 
A)  $- \frac { 47 } { 9 } , \frac { 35 } { 9 }$ 
B)  $\frac { 47 } { 9 } , - \frac { 35 } { 9 }$ 
C)  $- \frac { 23 } { 9 } , \frac { 11 } { 9 }$ 
D)  $\frac { 23 } { 9 } , - \frac { 11 } { 9 }$ 
E) no solution

Question 5

Find the unit price (in dollars per ounce)if a 1-pound, 14-ounce loaf of bread costs $1.80.

Accepted Answer

A) $0.08 per ounce 
B) $0.13 per ounce 
C) $0.09 per ounce 
D) $0.06 per ounce 
E) $0.11 per ounce 
A) $0.08 per ounce 
B) $0.13 per ounce 
C) $0.09 per ounce 
D) $0.06 per ounce 
E) $0.11 per ounce

Question 6

Solve the inequality: $x + 7 \leq - 2$

Accepted Answer

A)  $x \geq - 9$ 
B)  $x \leq - 9$ 
C)  $x \leq 9$ 
D)  $x \geq - 14$ 
E)  $x \leq - \frac { 2 } { 7 }$ 
A)  $x \geq - 9$ 
B)  $x \leq - 9$ 
C)  $x \leq 9$ 
D)  $x \geq - 14$ 
E)  $x \leq - \frac { 2 } { 7 }$

Question 7

If a product has a cost of $730 and a markup rate of $\$ 30 \frac { 1 } { 3 } \%$ , what is the selling price?

Accepted Answer

A)  $\$ 983.33$ 
B)  $\$ 760.33$ 
C)  $\$ 951.43$ 
D)  $\$ 760.00$ 
E)  $\$ 949.00$ 
A)  $\$ 983.33$ 
B)  $\$ 760.33$ 
C)  $\$ 951.43$ 
D)  $\$ 760.00$ 
E)  $\$ 949.00$

Question 8

Determine if $x = - 5$ is a solution to $| x | \leq 5$ .

Accepted Answer

A)  $x = - 5$ is a solution. 
B)  $x = - 5$ is not a solution. 
A)  $x = - 5$ is a solution. 
B)  $x = - 5$ is not a solution.

Question 9

Solve: $2.2 x + 4 \leq 14.4$

Accepted Answer

A)  $x \leq 6.55$ 
B)  $x \leq 4.73$ 
C)  $x \leq 8.36$ 
D)  $x \leq 8.8$ 
E)  $x \geq 4.73$ 
A)  $x \leq 6.55$ 
B)  $x \leq 4.73$ 
C)  $x \leq 8.36$ 
D)  $x \leq 8.8$ 
E)  $x \geq 4.73$

Question 10

Solve $| x | < 3$ , if possible. Write the answer in set notation.

Accepted Answer

A)  $\{ x \mid x  3 \}$ 
C)  $\{ x \mid - 3 < x < 3 \}$ 
D)  $\{ x \mid x < 3 \}$ 
E) no solution 
A)  $\{ x \mid x  3 \}$ 
C)  $\{ x \mid - 3 < x < 3 \}$ 
D)  $\{ x \mid x < 3 \}$ 
E) no solution

Question 11

Solve the equation $6 x = 48$ .

Accepted Answer

A)  $x = 54$ 
B)  x=42 
C)  x=24 
D)  x=62 
E)  x=8 
A)  $x = 54$ 
B)  x=42 
C)  x=24 
D)  x=62 
E)  x=8

Question 12

Two people can complete a task in t hours, where t must satisfy the equation $$\frac { t } { 25 } + \frac { t } { 30 } = 1$$ . Find the required time t , in hours. Round your answer to two decimal places.

Accepted Answer

A)  $2.20$ hours 
B)  $13.64$ hours 
C)  $150.00$ hours 
D)  $55.00$ hours 
E) no solution 
A)  $2.20$ hours 
B)  $13.64$ hours 
C)  $150.00$ hours 
D)  $55.00$ hours 
E) no solution

Question 13

Complete the table showing the equivalent forms of a percent. Reduce fractions to simplest form. Percent Parts out of 100 Decimal Fraction $\frac { 3 } { 10 }$

Accepted Answer

A)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 3 \% & 3 & 0.03 & \frac { 3 } { 10 } \
\hline
\end{array}$. 
B)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 30 \% & 3.33 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$ 
C)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline \frac { 3 } { 10 } \% & 3 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$ 
D)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 30 \% & 30 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$ . 
E)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 30 \% & 30 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$ 
A)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 3 \% & 3 & 0.03 & \frac { 3 } { 10 } \
\hline
\end{array}$. 
B)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 30 \% & 3.33 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$ 
C)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline \frac { 3 } { 10 } \% & 3 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$ 
D)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 30 \% & 30 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$ . 
E)  $\begin{array} { | c | c | c | c | } 
\hline \text { Percent } & \text { Parts out of } 100 & \text { Decimal } & \text { Fraction } \
\hline 30 \% & 30 & 0.3 & \frac { 3 } { 10 } \
\hline
\end{array}$

Question 14

Determine if $2 x - 7 = 3 x$ is a conditional equation, an identity equation, or an equation with no solution.

Accepted Answer

A)  $\text { conditional equation }$ 
B)  $\text { equation with no solution }$ 
C) identity equation 
A)  $\text { conditional equation }$ 
B)  $\text { equation with no solution }$ 
C) identity equation

Question 15

You have a job on an assembly line for which you are paid $12 per hour plus $0.50 per unit assembled. Write an algebraic model to find the number of units produced in an eight-hour day if your earnings for the day are $144 and then solve the resulting algebraic equation. Round your solution to the nearest integer.

Accepted Answer

A) equation: $0.50 x - ( 12 ) = 144$ solution: 240 
B) equation: $0.50 x - 8 ( 12 ) = 144$ solution: 1 
C) equation: $8 ( 12 ) + x = 144$ solution: 48 
D) equation: $8 ( 12 ) + 0.50 x = 144$ solution: 96 
E) equation: $x - 8 ( 12 ) = 144$ solution: $9$ 
A) equation: $0.50 x - ( 12 ) = 144$ solution: 240 
B) equation: $0.50 x - 8 ( 12 ) = 144$ solution: 1 
C) equation: $8 ( 12 ) + x = 144$ solution: 48 
D) equation: $8 ( 12 ) + 0.50 x = 144$ solution: 96 
E) equation: $x - 8 ( 12 ) = 144$ solution: $9$

Question 16

Write an absolute value inequality that represents the graph.

Accepted Answer

A)  $| x | \leq 16$ or $| x | \geq 21$ 
B)  $| x + 18.5 | < 2.5$ 
C)  $| x - 2.5 | < 18.5$ 
D)  $| x + 2.5 | < 18.5$ 
E)  $| x - 18.5 | < 2.5$ 
A)  $| x | \leq 16$ or $| x | \geq 21$ 
B)  $| x + 18.5 | < 2.5$ 
C)  $| x - 2.5 | < 18.5$ 
D)  $| x + 2.5 | < 18.5$ 
E)  $| x - 18.5 | < 2.5$

Question 17

Determine if x=-6  satisfies $0 < \frac { x + 5 } { 6 } < 2$ .

Accepted Answer

A)  x=-6 does satisfy the inequality. 
B)  x=-6 does not satisfy the inequality. 
A)  x=-6 does satisfy the inequality. 
B)  x=-6 does not satisfy the inequality.

Question 18

Which inequality has the graph that is shown?

Accepted Answer

A)  $1 \leq x < 4$ 
B)  $1 < x \leq 4$ 
C)  $1 \leq x \leq 4$ 
D)  $1 \leq x \leq 6$ 
E)  $1 < x < 4$ 
A)  $1 \leq x < 4$ 
B)  $1 < x \leq 4$ 
C)  $1 \leq x \leq 4$ 
D)  $1 \leq x \leq 6$ 
E)  $1 < x < 4$

Question 19

Solve the inequality: $- \frac { 4 } { 9 } t \leq 5$

Accepted Answer

A)  $t \leq \frac { 45 } { 4 }$ 
B)  $t \geq - \frac { 45 } { 4 }$ 
C)  $t \leq - \frac { 45 } { 4 }$ 
D)  $t \geq - \frac { 20 } { 9 }$ 
E)  $t \leq - \frac { 20 } { 9 }$ 
A)  $t \leq \frac { 45 } { 4 }$ 
B)  $t \geq - \frac { 45 } { 4 }$ 
C)  $t \leq - \frac { 45 } { 4 }$ 
D)  $t \geq - \frac { 20 } { 9 }$ 
E)  $t \leq - \frac { 20 } { 9 }$

Question 20

Solve the linear equation $7 x + 6 = - 4 ( x - 5 )$ for x .

Accepted Answer

A)  $x = - \frac { 26 } { 11 }$ 
B)  $x = \frac { 26 } { 11 }$ 
C)  $x = \frac { 14 } { 11 }$ 
D)  $x = - \frac { 14 } { 11 }$ 
E)  x=0 
A)  $x = - \frac { 26 } { 11 }$ 
B)  $x = \frac { 26 } { 11 }$ 
C)  $x = \frac { 14 } { 11 }$ 
D)  $x = - \frac { 14 } { 11 }$ 
E)  x=0

Solve the inequality: $\frac { x } { 8 } + \frac { x } { 3 } \geq 17$

Solve $| x | = - 82$ , if possible.

Solve the linear equation $6 ( y + 3 ) = 8 y - 2 y + 6$ for y .

Solve the equation $| 9 x - 6 | + 12 = 29$ .

Find the unit price (in dollars per ounce)if a 1-pound, 14-ounce loaf of bread costs $1.80.

Solve the inequality: $x + 7 \leq - 2$

If a product has a cost of $730 and a markup rate of $\$ 30 \frac { 1 } { 3 } \%$ , what is the selling price?

Determine if $x = - 5$ is a solution to $| x | \leq 5$ .

Solve: $2.2 x + 4 \leq 14.4$

Solve $| x | < 3$ , if possible. Write the answer in set notation.

Solve the equation $6 x = 48$ .

Two people can complete a task in t hours, where t must satisfy the equation $\frac { t } { 25 } + \frac { t } { 30 } = 1$ . Find the required time t , in hours. Round your answer to two decimal places.

Complete the table showing the equivalent forms of a percent. Reduce fractions to simplest form. Percent Parts out of 100 Decimal Fraction $\frac { 3 } { 10 }$

Determine if $2 x - 7 = 3 x$ is a conditional equation, an identity equation, or an equation with no solution.

Write an absolute value inequality that represents the graph.

Determine if x=-6 satisfies $0 < \frac { x + 5 } { 6 } < 2$ .

Which inequality has the graph that is shown?

Solve the inequality: $- \frac { 4 } { 9 } t \leq 5$

Solve the linear equation $7 x + 6 = - 4 ( x - 5 )$ for x .

Fundamentals of Algebra

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Linear Equations and Inequalities

Solve the inequality: x8+x3≥17\frac { x } { 8 } + \frac { x } { 3 } \geq 178x​+3x​≥17

Solve ∣x∣=−82| x | = - 82∣x∣=−82 , if possible.

Solve the linear equation 6(y+3)=8y−2y+66 ( y + 3 ) = 8 y - 2 y + 66(y+3)=8y−2y+6 for y .

Solve the equation ∣9x−6∣+12=29| 9 x - 6 | + 12 = 29∣9x−6∣+12=29 .

Find the unit price (in dollars per ounce)if a 1-pound, 14-ounce loaf of bread costs $1.80.

Solve the inequality: x+7≤−2x + 7 \leq - 2x+7≤−2

If a product has a cost of $730 and a markup rate of $3013%\$ 30 \frac { 1 } { 3 } \%$3031​% , what is the selling price?

Determine if x=−5x = - 5x=−5 is a solution to ∣x∣≤5| x | \leq 5∣x∣≤5 .

Solve: 2.2x+4≤14.42.2 x + 4 \leq 14.42.2x+4≤14.4

Solve ∣x∣<3| x | < 3∣x∣<3 , if possible. Write the answer in set notation.

Solve the equation 6x=486 x = 486x=48 .

Two people can complete a task in t hours, where t must satisfy the equation t25+t30=1\frac { t } { 25 } + \frac { t } { 30 } = 125t​+30t​=1 . Find the required time t , in hours. Round your answer to two decimal places.

Complete the table showing the equivalent forms of a percent. Reduce fractions to simplest form. Percent Parts out of 100 Decimal Fraction 310\frac { 3 } { 10 }103​

Determine if 2x−7=3x2 x - 7 = 3 x2x−7=3x is a conditional equation, an identity equation, or an equation with no solution.

Write an absolute value inequality that represents the graph.

Determine if x=-6 satisfies 0<x+56<20 < \frac { x + 5 } { 6 } < 20<6x+5​<2 .

Which inequality has the graph that is shown?

Solve the inequality: −49t≤5- \frac { 4 } { 9 } t \leq 5−94​t≤5

Solve the linear equation 7x+6=−4(x−5)7 x + 6 = - 4 ( x - 5 )7x+6=−4(x−5) for x .

Fundamentals of Algebra

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Solve the inequality: $\frac { x } { 8 } + \frac { x } { 3 } \geq 17$

Solve $| x | = - 82$ , if possible.

Solve the linear equation $6 ( y + 3 ) = 8 y - 2 y + 6$ for y .

Solve the equation $| 9 x - 6 | + 12 = 29$ .

Solve the inequality: $x + 7 \leq - 2$

If a product has a cost of $730 and a markup rate of $\$ 30 \frac { 1 } { 3 } \%$ , what is the selling price?

Determine if $x = - 5$ is a solution to $| x | \leq 5$ .

Solve: $2.2 x + 4 \leq 14.4$

Solve $| x | < 3$ , if possible. Write the answer in set notation.

Solve the equation $6 x = 48$ .

Two people can complete a task in t hours, where t must satisfy the equation $\frac { t } { 25 } + \frac { t } { 30 } = 1$ . Find the required time t , in hours. Round your answer to two decimal places.

Complete the table showing the equivalent forms of a percent. Reduce fractions to simplest form. Percent Parts out of 100 Decimal Fraction $\frac { 3 } { 10 }$

Determine if $2 x - 7 = 3 x$ is a conditional equation, an identity equation, or an equation with no solution.

Determine if x=-6 satisfies $0 < \frac { x + 5 } { 6 } < 2$ .

Solve the inequality: $- \frac { 4 } { 9 } t \leq 5$

Solve the linear equation $7 x + 6 = - 4 ( x - 5 )$ for x .