Question 1

Solve the inequality.
-$$25 x + 15 > 5 ( 4 x - 2 )$$

Accepted Answer

A) $x > - 5$ B) $x < - 5$ C) $x \geq - 5$ D) $x \leq - 5$ A) $x > - 5$ B) $x < - 5$ C) $x \geq - 5$ D) $x \leq - 5$

Question 2

Solve.
-A local animal shelter accepts abandoned cats and dogs. They usually receive three times as many cats as dogs. They estimate that 80% of the cats and 50% of the dogs that come in need some kind of medical treatment. If
They treated 319 animals last year, how many cats and dogs did they take in?

Accepted Answer

A) 110 dogs, 113 cats 
B) 330 dogs, 990 cats 
C) 110 dogs, 330 cats 
D) 330 dogs, 110 cats 
A) 110 dogs, 113 cats 
B) 330 dogs, 990 cats 
C) 110 dogs, 330 cats 
D) 330 dogs, 110 cats

Question 3

Find the value of the variable that satisfies the equation.
-$$\frac { 1 } { 2 } x - 5 = 1$$

Accepted Answer

A)  $x = 8$ 
B)  $x = - 8$ 
C)  $x = - 12$ 
D)  $x = 12$ 
A)  $x = 8$ 
B)  $x = - 8$ 
C)  $x = - 12$ 
D)  $x = 12$

Question 4

Translate each graph to an inequality using the variable x.
-

Accepted Answer

A) $x \leq - 10$ B) $x > - 10$ C) $x \geq - 10$ D) $x < - 10$ A) $x \leq - 10$ B) $x > - 10$ C) $x \geq - 10$ D) $x < - 10$

Question 5

Solve.
-The number of employees that work at a company has increased by 40% over the past year. This year there are 356 more employees with the company than last year. How many employees were there last year?

Accepted Answer

A) 890 employees 
B) 14,240 employees 
C) 534 employees 
D) 8)9 employees 
A) 890 employees 
B) 14,240 employees 
C) 534 employees 
D) 8)9 employees

Question 6

Determine whether the given solution is correct. If it is not, find the solution.
--0.08y + 0.14(3000 - y)= 0.28y

Accepted Answer

A) y = 840 
B) y = 210 
C) y = 2100 
D) y = 2520 
A) y = 840 
B) y = 210 
C) y = 2100 
D) y = 2520

Question 7

Translate each graph to an inequality using the variable x.
-

Accepted Answer

A)  $x  - \frac { 3 } { 2 }$ 
C)  $x \geq - \frac { 3 } { 2 }$ 
D)  $x \leq - \frac { 3 } { 2 }$ 
A)  $x  - \frac { 3 } { 2 }$ 
C)  $x \geq - \frac { 3 } { 2 }$ 
D)  $x \leq - \frac { 3 } { 2 }$

Question 8

Write an algebraic expression for the quantity. Let x represent the unknown value.
-Three-fourths of a quantity.

Accepted Answer

A)  $\frac { 3 } { 4 } - x$ 
B)  $x - \frac { 3 } { 4 }$ 
C)  $\frac { 3 x } { 4 }$ 
D)  $\frac { 3 } { 4 } + x$ 
A)  $\frac { 3 } { 4 } - x$ 
B)  $x - \frac { 3 } { 4 }$ 
C)  $\frac { 3 x } { 4 }$ 
D)  $\frac { 3 } { 4 } + x$

Question 9

Find the value of the variable that satisfies the equation.
-$$\frac { x } { 7 } + 6 = 14$$

Accepted Answer

A)  $x = 15$ 
B)  $x = 142$ 
C)  $x = 56$ 
D)  $x = 140$ 
A)  $x = 15$ 
B)  $x = 142$ 
C)  $x = 56$ 
D)  $x = 140$

Question 10

Write an algebraic expression for the quantity. Let x represent the unknown value.
-Four less than a number.

Accepted Answer

A) x - 4 
B) x < 4 
C) 4 < x 
D) 4 - x 
A) x - 4 
B) x < 4 
C) 4 < x 
D) 4 - x

Question 11

Solve.
-A theatrical production company donated free tickets for their show to the local Boys & Girls Club. They claimed that the ticket value was $279.5 A child's ticket cost $4.75 and an adult ticket cost $7.25. If there were
Three times as many children's tickets as adult tickets, how many adults and children got to attend the show for
Free?

Accepted Answer

A) 13 adult tickets, 39 children's tickets 
B) 39 adult tickets, 117 children's tickets 
C) 39 adult tickets, 13 children's tickets 
D) 13 adult tickets, 16 children's tickets 
A) 13 adult tickets, 39 children's tickets 
B) 39 adult tickets, 117 children's tickets 
C) 39 adult tickets, 13 children's tickets 
D) 13 adult tickets, 16 children's tickets

Question 12

Write an algebraic expression for the quantities being compared.
-Evan works 12 hours per week more than Marc.

Accepted Answer

A)  $x + 12 =$ no. of hours Evan works
no. of hours Marc works 
B)  $12 - x =$ no. of hours Evan works $x =$ 
no. of hours Marc works $x =$ 
C)  $12 - x =$ no. of hours Marc works
no. of hours Marc works 
D)  $x - 12 =$ no. of hours Evan works $x =$ 
no. of hours Evan works $x =$ 
A)  $x + 12 =$ no. of hours Evan works
no. of hours Marc works 
B)  $12 - x =$ no. of hours Evan works $x =$ 
no. of hours Marc works $x =$ 
C)  $12 - x =$ no. of hours Marc works
no. of hours Marc works 
D)  $x - 12 =$ no. of hours Evan works $x =$ 
no. of hours Evan works $x =$

Question 13

Solve for the variable
-$$\frac { 3 } { 7 } x + \frac { 4 } { 9 } = - \frac { 4 } { 7 } x - \frac { 1 } { 2 }$$

Accepted Answer

A)  $x = - \frac { 17 } { 18 }$ 
B)  $x = - \frac { 1 } { 18 }$ 
C)  $x = - \frac { 8 } { 17 }$ 
D)  $x = \frac { 17 } { 18 }$ 
A)  $x = - \frac { 17 } { 18 }$ 
B)  $x = - \frac { 1 } { 18 }$ 
C)  $x = - \frac { 8 } { 17 }$ 
D)  $x = \frac { 17 } { 18 }$

Question 14

Write an algebraic expression for the quantity. Let x represent the unknown value.
-Two times the sum of a number and four.

Accepted Answer

A) 4x + 2 
B) 2(x + 4) 
C) 2x + 4 
D) 4(x + 2) 
A) 4x + 2 
B) 2(x + 4) 
C) 2x + 4 
D) 4(x + 2)

Solve the inequality. - $25 x + 15 > 5 ( 4 x - 2 )$

Find the value of the variable that satisfies the equation. - $\frac { 1 } { 2 } x - 5 = 1$

Translate each graph to an inequality using the variable x. -

Solve. -The number of employees that work at a company has increased by 40% over the past year. This year there are 356 more employees with the company than last year. How many employees were there last year?

Determine whether the given solution is correct. If it is not, find the solution. --0.08y + 0.14(3000 - y)= 0.28y

Translate each graph to an inequality using the variable x. -

Write an algebraic expression for the quantity. Let x represent the unknown value. -Three-fourths of a quantity.

Find the value of the variable that satisfies the equation. - $\frac { x } { 7 } + 6 = 14$

Write an algebraic expression for the quantity. Let x represent the unknown value. -Four less than a number.

Write an algebraic expression for the quantities being compared. -Evan works 12 hours per week more than Marc.

Solve for the variable - $\frac { 3 } { 7 } x + \frac { 4 } { 9 } = - \frac { 4 } { 7 } x - \frac { 1 } { 2 }$

Write an algebraic expression for the quantity. Let x represent the unknown value. -Two times the sum of a number and four.

Real Numbers and Variables

Graphing and Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 2: Equations, Inequalities, and Applications

Solve the inequality. - 25x+15>5(4x−2)25 x + 15 > 5 ( 4 x - 2 )25x+15>5(4x−2)

Find the value of the variable that satisfies the equation. - 12x−5=1\frac { 1 } { 2 } x - 5 = 121​x−5=1

Translate each graph to an inequality using the variable x. -

Solve. -The number of employees that work at a company has increased by 40% over the past year. This year there are 356 more employees with the company than last year. How many employees were there last year?

Determine whether the given solution is correct. If it is not, find the solution. --0.08y + 0.14(3000 - y)= 0.28y

Translate each graph to an inequality using the variable x. -

Write an algebraic expression for the quantity. Let x represent the unknown value. -Three-fourths of a quantity.

Find the value of the variable that satisfies the equation. - x7+6=14\frac { x } { 7 } + 6 = 147x​+6=14

Write an algebraic expression for the quantity. Let x represent the unknown value. -Four less than a number.

Write an algebraic expression for the quantities being compared. -Evan works 12 hours per week more than Marc.

Solve for the variable - 37x+49=−47x−12\frac { 3 } { 7 } x + \frac { 4 } { 9 } = - \frac { 4 } { 7 } x - \frac { 1 } { 2 }73​x+94​=−74​x−21​

Write an algebraic expression for the quantity. Let x represent the unknown value. -Two times the sum of a number and four.

Real Numbers and Variables

Graphing and Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Solve the inequality. - $25 x + 15 > 5 ( 4 x - 2 )$

Find the value of the variable that satisfies the equation. - $\frac { 1 } { 2 } x - 5 = 1$

Find the value of the variable that satisfies the equation. - $\frac { x } { 7 } + 6 = 14$

Solve for the variable - $\frac { 3 } { 7 } x + \frac { 4 } { 9 } = - \frac { 4 } { 7 } x - \frac { 1 } { 2 }$