Question 1

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--5x - 20 + 6x = 4

Accepted Answer

A) 16 
B) -24 
C) -16 
D) 24 
A) 16 
B) -24 
C) -16 
D) 24

Question 2

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { no solution } & \text { all real numbers } & \text { linear equation in one variable } \
\text { equivalent equations } & \text { formula } & \text { reversed } \
\text { linear inequality in one variable }&\text { the same }
\end{array}$$
-Equations that have the same solution are called_______ .

Accepted Answer

A) all real numbers 
B) the same 
C) equivalent equations 
D) reversed 
A) all real numbers 
B) the same 
C) equivalent equations 
D) reversed

Question 3

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to
answer the question.  
-If State University has approximately 33,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Accepted Answer

A) 5940 students 
B) 1122 students 
C) 594 students 
D) 11,220 students 
A) 5940 students 
B) 1122 students 
C) 594 students 
D) 11,220 students

Question 4

Solve the equation.
-$- 2 ( x + 3 ) + 34 = 3 x - 5 ( x - 2 )$

Accepted Answer

A) 44 
B) 24 
C) all real numbers 
D) no solution 
A) 44 
B) 24 
C) all real numbers 
D) no solution

Question 5

Solve the equation for the indicated variable.
-P = a + b + c for a

Accepted Answer

A) a = P - b - c 
B) a = b + c - P 
C) a = P + b - c 
D) a = P + b + c 
A) a = P - b - c 
B) a = b + c - P 
C) a = P + b - c 
D) a = P + b + c

Question 6

Solve.
-How much pure acid should be mixed with 6 gallons of a 50% acid solution in order to get an 80% acid solution?

Accepted Answer

A) 9 gal 
B) 24 gal 
C) 15 gal 
D) 3 gal 
A) 9 gal 
B) 24 gal 
C) 15 gal 
D) 3 gal

Question 7

Write the following as an equation, using x for the unknown number. Then solve.
-The sum of four times a number and 10 is equal to the difference of twice the number and 2. Find the number.

Accepted Answer

A) 4(x + 10)= 2x - 2; - 21 
B) 4x + 10 = 2x - 2; 6 
C) 4x + 10 = 2x - 2; - 6 
D) 4x + 10 = 2x + 2; - 4 
A) 4(x + 10)= 2x - 2; - 21 
B) 4x + 10 = 2x - 2; 6 
C) 4x + 10 = 2x - 2; - 6 
D) 4x + 10 = 2x + 2; - 4

Question 8

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-10y = 6y + 10 + 3y

Accepted Answer

A) -100 
B) 10 
C) 100 
D) -10 
A) -100 
B) 10 
C) 100 
D) -10

Question 9

Solve the equation.
-$\frac { 1 } { 4 } ( 8 x - 12 ) = 6 \left( \frac { 1 } { 3 } x - \frac { 1 } { 2 } \right) + 9$

Accepted Answer

A)  $\frac { 9 } { 4 }$ 
B) 0 
C) all real numbers 
D) no solution 
A)  $\frac { 9 } { 4 }$ 
B) 0 
C) all real numbers 
D) no solution

Question 10

Solve the equation for the indicated variable.
-$\mathrm { S } = 2 \pi \mathrm { rr } + 2 \pi \mathrm { r } ^ { 2 }$ for h

Accepted Answer

A)  $h = 2 \pi ( S - r )$ 
B)  $h = \frac { S - 2 \pi r ^ { 2 } } { 2 \pi r }$ 
C)  $\mathrm { h } = \frac { \mathrm { S } } { 2 \pi \mathrm { r } } - 1$ 
D) h = S - r 
A)  $h = 2 \pi ( S - r )$ 
B)  $h = \frac { S - 2 \pi r ^ { 2 } } { 2 \pi r }$ 
C)  $\mathrm { h } = \frac { \mathrm { S } } { 2 \pi \mathrm { r } } - 1$ 
D) h = S - r

Question 11

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { no solution } & \text { all real numbers } & \text { linear equation in one variable } \
\text { equivalent equations } & \text { formula } & \text { reversed } \
\text { linear inequality in one variable }&\text { the same }
\end{array}$$
-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) the same 
B) reversed 
C) no solution 
D) all real numbers 
A) the same 
B) reversed 
C) no solution 
D) all real numbers

Question 12

Solve the equation.
-9x - 14x = -17 - 13

Accepted Answer

A) 6 
B) 5 
C) -6 
D) -5 
A) 6 
B) 5 
C) -6 
D) -5

Question 13

Solve the inequality.
-$\frac { 2 ( 4 x + 7 ) } { 5 } > 4$

Accepted Answer

A) { $\{ x \mid x > 3 \}$ } 
B)  $\left\{ x \mid x > \frac { 5 } { 2 } \right\}$ 
C)  $\left\{ x \mid x  \frac { 3 } { 4 } \right\}$ 
A) { $\{ x \mid x > 3 \}$ } 
B)  $\left\{ x \mid x > \frac { 5 } { 2 } \right\}$ 
C)  $\left\{ x \mid x  \frac { 3 } { 4 } \right\}$

Question 14

Solve.
-The sum of three consecutive integers is 588. Find the numbers.

Accepted Answer

A) 196, 197, 198 
B) 194, 196, 198 
C) 194, 195, 196 
D) 195, 196, 197 
A) 196, 197, 198 
B) 194, 196, 198 
C) 194, 195, 196 
D) 195, 196, 197

Question 15

Solve the equation for the indicated variable.
-5x - 6y = 13 for y

Accepted Answer

A)  $y = \frac { 5 x + 13 } { 6 }$ 
B)  $y = \frac { 5 x + 13 } { - 6 }$ 
C)  $y = \frac { 5 x - 13 } { - 6 }$ 
D)  $y = \frac { 5 x - 13 } { 6 }$ 
A)  $y = \frac { 5 x + 13 } { 6 }$ 
B)  $y = \frac { 5 x + 13 } { - 6 }$ 
C)  $y = \frac { 5 x - 13 } { - 6 }$ 
D)  $y = \frac { 5 x - 13 } { 6 }$

Question 16

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-5(k + 1)- (4k + 9)= 7

Accepted Answer

A) 11 
B) - 11 
C) - 15 
D) 3 
A) 11 
B) - 11 
C) - 15 
D) 3

Question 17

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--4a + 2 + 5a = 10 - 20

Accepted Answer

A) -32 
B) 32 
C) -12 
D) 12 
A) -32 
B) 32 
C) -12 
D) 12

Question 18

Solve the equation for the indicated variable.
-d = rt for t

Accepted Answer

A)  $t = \frac { r } { d }$ 
B)  $t = \frac { d } { r }$ 
C) t = dr 
D) t = d - r 
A)  $t = \frac { r } { d }$ 
B)  $t = \frac { d } { r }$ 
C) t = dr 
D) t = d - r

Question 19

Solve the equation.
-6p = 5(3p + 5)

Accepted Answer

A)  $\frac { 9 } { 25 }$ 
B)  $- \frac { 25 } { 9 }$ 
C)  $\frac { 25 } { 9 }$ 
D)  $\frac { 25 } { 6 }$ 
A)  $\frac { 9 } { 25 }$ 
B)  $- \frac { 25 } { 9 }$ 
C)  $\frac { 25 } { 9 }$ 
D)  $\frac { 25 } { 6 }$

Question 20

Write the following as an equation, using x for the unknown number. Then solve.
-When 2 times a number is subtracted from 7 times the number, the result is 40. Find the number.

Accepted Answer

A) 2(x - 7)= 40x; 2.7 
B) 2x(7 - x)= 40; -8 
C) 7x - 2x = 40; 8 
D) 2x + 8x = 40; 5 
A) 2(x - 7)= 40x; 2.7 
B) 2x(7 - x)= 40; -8 
C) 7x - 2x = 40; 8 
D) 2x + 8x = 40; 5

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --5x - 20 + 6x = 4

Fill in the blank with one of the words or phrases listed below. no solution all real numbers linear equation in one variable equivalent equations formula reversed linear inequality in one variable the same -Equations that have the same solution are called_______ .

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question. -If State University has approximately 33,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Solve the equation. - $- 2 ( x + 3 ) + 34 = 3 x - 5 ( x - 2 )$

Solve the equation for the indicated variable. -P = a + b + c for a

Solve. -How much pure acid should be mixed with 6 gallons of a 50% acid solution in order to get an 80% acid solution?

Write the following as an equation, using x for the unknown number. Then solve. -The sum of four times a number and 10 is equal to the difference of twice the number and 2. Find the number.

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -10y = 6y + 10 + 3y

Solve the equation. - $\frac { 1 } { 4 } ( 8 x - 12 ) = 6 \left( \frac { 1 } { 3 } x - \frac { 1 } { 2 } \right) + 9$

Solve the equation for the indicated variable. - $\mathrm { S } = 2 \pi \mathrm { rr } + 2 \pi \mathrm { r } ^ { 2 }$ for h

Solve the equation. -9x - 14x = -17 - 13

Solve the inequality. - $\frac { 2 ( 4 x + 7 ) } { 5 } > 4$

Solve. -The sum of three consecutive integers is 588. Find the numbers.

Solve the equation for the indicated variable. -5x - 6y = 13 for y

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -5(k + 1)- (4k + 9)= 7

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --4a + 2 + 5a = 10 - 20

Solve the equation for the indicated variable. -d = rt for t

Solve the equation. -6p = 5(3p + 5)

Write the following as an equation, using x for the unknown number. Then solve. -When 2 times a number is subtracted from 7 times the number, the result is 40. Find the number.

The Whole Numbers

Multiplying and Dividing Fractions

Adding and Subtracting Fractions

Decimals

Ratio, Proportion, and Percent

Geometry

Statistics and Probability

Real Numbers and Introduction to Algebra

Graphing Equations and Inequalities

Systems of Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Roots and Radicals

Quadratic Equations and Nonlinear Graphs

Algebraic Equations and Inequalities

Filters

Exam 9: Equations, Inequalities, and Problem Solving