Question 1

Solve the inequality. Graph the solution set and write it in interval notation.
-$- 6 ( 5 x - 1 ) < - 36 x + 30$

Accepted Answer

A)  $( - \infty , 4 ]$
  
B)  $( - \infty , 4 )$
  
C)  $[ 4 , \infty )$
  
D)  $( 4 , \infty )$
  
A)  $( - \infty , 4 ]$
  
B)  $( - \infty , 4 )$
  
C)  $[ 4 , \infty )$
  
D)  $( 4 , \infty )$

Question 2

Solve the equation.
--z = -10

Accepted Answer

A)  -1 
B)  0 
C)  10 
D)  -10 
A)  -1 
B)  0 
C)  10 
D)  -10

Question 3

Solve the equation.
-10n - 3 = 87

Accepted Answer

A)  9 
B)  84 
C)  11 
D)  80 
A)  9 
B)  84 
C)  11 
D)  80

Question 4

Solve the equation.
-$\frac { 9 ( \mathrm { y } - 5 ) } { 5 } = 2 \mathrm { y } - 3$

Accepted Answer

A)  $- 30$ 
B)  30 
C)  60 
D)  $- 60$ 
A)  $- 30$ 
B)  30 
C)  60 
D)  $- 60$

Question 5

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

-Terms with the same variables raised to exactly the same powers are called .

Accepted Answer

A)  like terms 
B)  equivalent equations 
C)  unlike terms 
D)  compound inequalities 
A)  like terms 
B)  equivalent equations 
C)  unlike terms 
D)  compound inequalities

Question 6

Substitute the given values into the formula and solve for the unknown variable.
-Use the formula $\mathrm { F } = \frac { 9 } { 5 } \mathrm { C } + 32$ to convert $125 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.

Accepted Answer

A)  $52.2 ^ { \circ } \mathrm { F }$ 
B)  $193 ^ { \circ } \mathrm { F }$ 
C)  $87.8 ^ { \circ } \mathrm { F }$ 
D)  $257 ^ { \circ } \mathrm { F }$ 
A)  $52.2 ^ { \circ } \mathrm { F }$ 
B)  $193 ^ { \circ } \mathrm { F }$ 
C)  $87.8 ^ { \circ } \mathrm { F }$ 
D)  $257 ^ { \circ } \mathrm { F }$

Question 7

Solve the equation.
-Find the value of $x$ if $y = - 10 , m = - 3$ and $b = - 1$ in the formula $y = m x + b$.

Accepted Answer

A)  $x = 27$ 
B)  $x = 3$ 
C)  $x = - 3$ 
D)  $x = - 27$ 
A)  $x = 27$ 
B)  $x = 3$ 
C)  $x = - 3$ 
D)  $x = - 27$

Question 8

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--8.8 + 4x - 6.9 + 3x - 2.8 = 5.8 + 8x + 1.5

Accepted Answer

A)  -11.2 
B)  -25.8 
C)  11.2 
D)  25.8 
A)  -11.2 
B)  -25.8 
C)  11.2 
D)  25.8

Question 9

Simplify the expression by combining any like terms.
-6z + 5 - 3z + 10

Accepted Answer

A)  9z + 15 
B)  3z + 15 
C)  18z 
D)  3z - 5 
A)  9z + 15 
B)  3z + 15 
C)  18z 
D)  3z - 5

Question 10

Simplify the expression. First use the distributive property to remove any parentheses.
-4(y + 10) - 5

Accepted Answer

A)  14y - 5 
B)  4y + 35 
C)  4y + 5 
D)  4y + 20 
A)  14y - 5 
B)  4y + 35 
C)  4y + 5 
D)  4y + 20

Question 11

Simplify the expression. First use the distributive property to remove any parentheses.
--5(z - 5)

Accepted Answer

A)  -5z + 5 
B)  -5z - 25 
C)  -5z + 25 
D)  5z + 25 
A)  -5z + 5 
B)  -5z - 25 
C)  -5z + 25 
D)  5z + 25

Question 12

Solve.
-Five times a number, added to 24 , is 54 . Find the number.

Accepted Answer

A)  30 
B)  150 
C)  6 
D)  $- 6$ 
A)  30 
B)  150 
C)  6 
D)  $- 6$

Question 13

Solve.
-The Discovery Museum is building a second parking garage. The second parking garage will have double the capacity, in parking spaces, of their original parking garage. If the sum of these integers
Is 1503, find the capacity for both parking garages.

Accepted Answer

A)  401 spaces, 902 spaces 
B)  601 spaces, 902 spaces 
C)  401 spaces, 1102 spaces 
D)  501 spaces, 1002 spaces 
A)  401 spaces, 902 spaces 
B)  601 spaces, 902 spaces 
C)  401 spaces, 1102 spaces 
D)  501 spaces, 1002 spaces

Question 14

Write the algebraic expression described. Simplify if possible.
-A 21-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the other length as an algebraic expression in z.

Accepted Answer

A)  (z - 21) cm 
B)  (z + 21) cm 
C)  (21 - z) cm 
D)  (21 - 2z) cm 
A)  (z - 21) cm 
B)  (z + 21) cm 
C)  (21 - z) cm 
D)  (21 - 2z) cm

Question 15

Graph the inequality on a number line. Then write the solution in interval notation.
-$- 5 \leq x \leq - 1$

Accepted Answer

A)  $( - 5 , - 1 )$
  
B)  $(-5,-1]$
  
C)  $[ - 5 , - 1 )$
  
D)  $[ - 5 , - 1 ]$
  
A)  $( - 5 , - 1 )$
  
B)  $(-5,-1]$
  
C)  $[ - 5 , - 1 )$
  
D)  $[ - 5 , - 1 ]$

Question 16

Graph the inequality on a number line. Then write the solution in interval notation.
-$3 < x < 7$

Accepted Answer

A)  $( 3,7 ]$
  
B)  $( 3,7 )$
  
C) $[ 3,7 )$
  
D)  $[ 3,7 ]$
  
A)  $( 3,7 ]$
  
B)  $( 3,7 )$
  
C) $[ 3,7 )$
  
D)  $[ 3,7 ]$

Question 17

Solve the equation.
-$\frac { 1 } { 3 } x - 4 = 1$

Accepted Answer

A)  15 
B)  $- 15$ 
C)  $- 9$ 
D)  9 
A)  15 
B)  $- 15$ 
C)  $- 9$ 
D)  9

Question 18

Solve.
-On a road trip, five friends drove at 50 miles per hour to California. On the way home, they took the same route but drove 75 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?

Accepted Answer

A)  1500 mi 
B)  600 mi 
C)  6 mi 
D)  300 mi 
A)  1500 mi 
B)  600 mi 
C)  6 mi 
D)  300 mi

Question 19

Solve the equation.
-9x - 8 + 9x + 1 = 4x + 14x - 10

Accepted Answer

A)  all real numbers 
B)  0 
C)  no solution 
D)  288 
A)  all real numbers 
B)  0 
C)  no solution 
D)  288

Question 20

Write the following as an equation, using x for the unknown number. Then solve.
-When 3 times a number is subtracted from 7 times the number, the result is 28. Find the number.

Accepted Answer

A)  3(x - 7) = 28x; 1.2 
B)  7x - 3x = 28; 7 
C)  3x + 7x = 28; 4 
D)  3x(7 - x) = 28; -7 
A)  3(x - 7) = 28x; 1.2 
B)  7x - 3x = 28; 7 
C)  3x + 7x = 28; 4 
D)  3x(7 - x) = 28; -7

Solve the inequality. Graph the solution set and write it in interval notation. - $- 6 ( 5 x - 1 ) < - 36 x + 30$

Solve the equation. --z = -10

Solve the equation. -10n - 3 = 87

Solve the equation. - $\frac { 9 ( \mathrm { y } - 5 ) } { 5 } = 2 \mathrm { y } - 3$

Fill in the blank with one of the words or phrases listed below. -Terms with the same variables raised to exactly the same powers are called .

Substitute the given values into the formula and solve for the unknown variable. -Use the formula $\mathrm { F } = \frac { 9 } { 5 } \mathrm { C } + 32$ to convert $125 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.

Solve the equation. -Find the value of $x$ if $y = - 10 , m = - 3$ and $b = - 1$ in the formula $y = m x + b$ .

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --8.8 + 4x - 6.9 + 3x - 2.8 = 5.8 + 8x + 1.5

Simplify the expression by combining any like terms. -6z + 5 - 3z + 10

Simplify the expression. First use the distributive property to remove any parentheses. -4(y + 10) - 5

Simplify the expression. First use the distributive property to remove any parentheses. --5(z - 5)

Solve. -Five times a number, added to 24 , is 54 . Find the number.

Solve. -The Discovery Museum is building a second parking garage. The second parking garage will have double the capacity, in parking spaces, of their original parking garage. If the sum of these integers Is 1503, find the capacity for both parking garages.

Write the algebraic expression described. Simplify if possible. -A 21-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the other length as an algebraic expression in z.

Graph the inequality on a number line. Then write the solution in interval notation. - $- 5 \leq x \leq - 1$ $Graph the inequality on a number line. Then write the solution in interval notation. - - 5 \leq x \leq - 1$

Graph the inequality on a number line. Then write the solution in interval notation. - $3 < x < 7$

Solve the equation. - $\frac { 1 } { 3 } x - 4 = 1$

Solve. -On a road trip, five friends drove at 50 miles per hour to California. On the way home, they took the same route but drove 75 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?

Solve the equation. -9x - 8 + 9x + 1 = 4x + 14x - 10

Write the following as an equation, using x for the unknown number. Then solve. -When 3 times a number is subtracted from 7 times the number, the result is 28. Find the number.

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 inequality. Graph the solution set and write it in interval notation. - −6(5x−1)<−36x+30- 6 ( 5 x - 1 ) < - 36 x + 30−6(5x−1)<−36x+30