Question 1

Solve the equation.
-$\frac { 1 } { 3 } - x + \frac { 5 } { 3 } = x - 6$

Accepted Answer

A)  $- 4$ 
B)  4 
C)  $- 2$ 
D)  12 
A)  $- 4$ 
B)  4 
C)  $- 2$ 
D)  12

Question 2

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-A company increased the number of its employees from 540 to 565 . What was the percent of increase in employees?

Accepted Answer

A)  $95.6 \%$ 
B)  $4.4 \%$ 
C)  $51.1 \%$ 
D)  $4.6 \%$ 
A)  $95.6 \%$ 
B)  $4.4 \%$ 
C)  $51.1 \%$ 
D)  $4.6 \%$

Question 3

Solve the equation.
-2 + 8y = 9y

Accepted Answer

A)  -15 
B)  2 
C)  -2 
D)  8 
A)  -15 
B)  2 
C)  -2 
D)  8

Question 4

Simplify the expression by combining any like terms.
-7x + 2 + 2x + 3

Accepted Answer

A)  14 
B)  9x + 5 
C)  5x + 5 
D)  14x 
A)  14 
B)  9x + 5 
C)  5x + 5 
D)  14x

Question 5

Identify the numerical coefficient of the term.
-$- 13 x$

Accepted Answer

A)  13 
B)  $- 13$ 
C)  1 
D)  $x$ 
A)  13 
B)  $- 13$ 
C)  1 
D)  $x$

Question 6

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-$\frac { 5 } { 6 } y + \frac { 5 } { 9 } = - \frac { 1 } { 6 } y - \frac { 5 } { 6 }$

Accepted Answer

A)  $\frac { 25 } { 18 }$ 
B)  $- \frac { 25 } { 18 }$ 
C)  $- \frac { 5 } { 18 }$ 
D)  $- \frac { 2 } { 3 }$ 
A)  $\frac { 25 } { 18 }$ 
B)  $- \frac { 25 } { 18 }$ 
C)  $- \frac { 5 } { 18 }$ 
D)  $- \frac { 2 } { 3 }$

Question 7

Write the following as an algebraic expression. Simplify if possible.
-Subtract 9x + 14 from 4x - 8.

Accepted Answer

A)  13x + 6 
B)  -5x - 22 
C)  5x + 22 
D)  -5x - 6 
A)  13x + 6 
B)  -5x - 22 
C)  5x + 22 
D)  -5x - 6

Question 8

Solve the equation.
-$- 0.3 ( x - 9 ) + x = 0.5 ( 9 - x )$

Accepted Answer

A)  9 
B)  $1.5$ 
C)  1 
D)  6 
A)  9 
B)  $1.5$ 
C)  1 
D)  6

Question 9

Solve the equation.
-2(2z - 3) = 3(z - 4)

Accepted Answer

A)  18 
B)  -6 
C)  6 
D)  8 
A)  18 
B)  -6 
C)  6 
D)  8

Question 10

Simplify the expression. First use the distributive property to remove any parentheses.
-9(7d + 8)

Accepted Answer

A)  63d + 8 
B)  63d + 72 
C)  135d 
D)  16d + 17 
A)  63d + 8 
B)  63d + 72 
C)  135d 
D)  16d + 17

Question 11

Indicate whether the list of terms are like or unlike.
-$a ^ { 2 } b , 10 b a ^ { 2 }$

Accepted Answer

A)  like 
B)  unlike 
A)  like 
B)  unlike

Question 12

Solve the equation.
-$- 2 ( 2 x + 1 ) - 2 = - 3 ( x + 2 ) + 5 x$

Accepted Answer

A)  $\frac { 5 } { 6 }$ 
B)  1 
C)  $- \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 5 } { 6 }$ 
B)  1 
C)  $- \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$

Question 13

Write the phrase as a variable expression. Use x for the unknown number.
-The difference of 3 and twice a number

Accepted Answer

A)  $2 x - 3$ 
B)  $3 - 2 x$ 
C)  $3 + 2 x$ 
D)  $2 ( 3 - x )$ 
A)  $2 x - 3$ 
B)  $3 - 2 x$ 
C)  $3 + 2 x$ 
D)  $2 ( 3 - x )$

Question 14

Graph the set of numbers given in interval notation. Then write an inequality statement in x describing the numbers
graphed.
-$(-\infty,-5]$

Accepted Answer

A)  $x  - 5$
  
D) $x \leq - 5$
  
A)  $x  - 5$
  
D) $x \leq - 5$

Question 15

Write the algebraic expression described. Simplify if possible.
-A quadrilateral is a four-sided figure whose angle sum is $360 ^ { \circ }$. If one angle measures $x ^ { \circ }$, a second angle measures $2 x ^ { \circ }$, and a third angle measures $9 x ^ { \circ }$, express the measure of the fourth angle in terms of $x$.

Accepted Answer

A)  $( 360 - 11 x ) ^ { \circ }$ 
B)  $( 360 + 12 x ) ^ { \circ }$ 
C)  $( 360 - 12 x ) ^ { \circ }$ 
D)  $( 12 x - 360 ) ^ { \circ }$ 
A)  $( 360 - 11 x ) ^ { \circ }$ 
B)  $( 360 + 12 x ) ^ { \circ }$ 
C)  $( 360 - 12 x ) ^ { \circ }$ 
D)  $( 12 x - 360 ) ^ { \circ }$

Question 16

Fill in the blank with one of the words or phrases listed below.

-If both sides of an inequality are multiplied or divided by the same positive number, the direction of the inequality symbol is .

Accepted Answer

A)  no solution 
B)  all real numbers 
C)  the same 
D)  reversed 
A)  no solution 
B)  all real numbers 
C)  the same 
D)  reversed

Question 17

Substitute the given values into the formula and solve for the unknown variable.
-P = 2L + 2W; P = 14, W = 3

Accepted Answer

A)  5.5 
B)  7 
C)  11 
D)  4 
A)  5.5 
B)  7 
C)  11 
D)  4

Question 18

Solve the problem.
-Devon purchased tickets to an air show for 6 adults and 2 children. The total cost was $114. The cost of a child's ticket was $7 less than the cost of an adult's ticket. Find the price of an adult's ticket
And a child's ticket.

Accepted Answer

A)  adult's ticket: $17; child's ticket: $10 
B)  adult's ticket: $18; child's ticket: $11 
C)  adult's ticket: $15; child's ticket: $8 
D)  adult's ticket: $16; child's ticket: $9 
A)  adult's ticket: $17; child's ticket: $10 
B)  adult's ticket: $18; child's ticket: $11 
C)  adult's ticket: $15; child's ticket: $8 
D)  adult's ticket: $16; child's ticket: $9

Question 19

Solve the equation.
--2(x - 5) - 62 = 7x - 9(x - 2)

Accepted Answer

A)  -44 
B)  -80 
C)  all real numbers 
D)  no solution 
A)  -44 
B)  -80 
C)  all real numbers 
D)  no solution

Question 20

Fill in the blank with one of the words or phrases listed below.

-Equations that have the same solution are called .

Accepted Answer

A)  numerical coefficient 
B)  like terms 
C)  compound inequalities 
D)  equivalent equations 
A)  numerical coefficient 
B)  like terms 
C)  compound inequalities 
D)  equivalent equations

Solve the equation. - $\frac { 1 } { 3 } - x + \frac { 5 } { 3 } = x - 6$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -A company increased the number of its employees from 540 to 565 . What was the percent of increase in employees?

Solve the equation. -2 + 8y = 9y

Simplify the expression by combining any like terms. -7x + 2 + 2x + 3

Identify the numerical coefficient of the term. - $- 13 x$

Solve the equation. Don't forget to first simplify each side of the equation, if possible. - $\frac { 5 } { 6 } y + \frac { 5 } { 9 } = - \frac { 1 } { 6 } y - \frac { 5 } { 6 }$

Write the following as an algebraic expression. Simplify if possible. -Subtract 9x + 14 from 4x - 8.

Solve the equation. - $- 0.3 ( x - 9 ) + x = 0.5 ( 9 - x )$

Solve the equation. -2(2z - 3) = 3(z - 4)

Simplify the expression. First use the distributive property to remove any parentheses. -9(7d + 8)

Indicate whether the list of terms are like or unlike. - $a ^ { 2 } b , 10 b a ^ { 2 }$

Solve the equation. - $- 2 ( 2 x + 1 ) - 2 = - 3 ( x + 2 ) + 5 x$

Write the phrase as a variable expression. Use x for the unknown number. -The difference of 3 and twice a number

Graph the set of numbers given in interval notation. Then write an inequality statement in x describing the numbers graphed. - $(-\infty,-5]$ $Graph the set of numbers given in interval notation. Then write an inequality statement in x describing the numbers graphed. - (-\infty,-5]$

Fill in the blank with one of the words or phrases listed below. -If both sides of an inequality are multiplied or divided by the same positive number, the direction of the inequality symbol is .

Substitute the given values into the formula and solve for the unknown variable. -P = 2L + 2W; P = 14, W = 3

Solve the problem. -Devon purchased tickets to an air show for 6 adults and 2 children. The total cost was $114. The cost of a child's ticket was $7 less than the cost of an adult's ticket. Find the price of an adult's ticket And a child's ticket.

Solve the equation. --2(x - 5) - 62 = 7x - 9(x - 2)

Fill in the blank with one of the words or phrases listed below. -Equations that have the same solution are called .

Review of Real Numbers

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Equations, Inequalities, and Problem Solving

Solve the equation. - 13−x+53=x−6\frac { 1 } { 3 } - x + \frac { 5 } { 3 } = x - 631​−x+35​=x−6