Question 1

Simplify the expression by combining any like terms.
-$8 x + x - 2 x + x$

Accepted Answer

A)  $x ^ { 2 } + 6 x$ 
B)  $- x ^ { 2 } + 6 x$ 
C)  $8 x$ 
D)  $6 \mathrm { x }$

Question 2

Write the algebraic expression described.
-Given the following quadrilateral, express the perimeter, or total distance around the figure, as an algebraic expression containing the variable $\mathrm { x }$.

Accepted Answer

A)  $( 6 x + 9 )$ in. 
B)  $( 7 x + 9 )$ in. 
C)  $( 7 x + 3 )$ in. 
D)  $( 6 x + 3 )$ in.

Question 3

Write the algebraic expression described. Simplify if possible.
-The sum of the angles of a triangle is $180 ^ { \circ }$. If one angle of a triangle measures $x ^ { \circ }$ and a second angle measures $( 9 x + 18 ) ^ { \circ }$, express the measure of the third angle in terms of $x$.

Accepted Answer

A)  $( 198 - 10 x ) ^ { \circ }$ 
B)  $( 162 - 9 x ) ^ { \circ }$ 
C)  $( 162 - 10 x ) ^ { \circ }$ 
D)  $( 162 + 10 x ) ^ { \circ }$

Question 4

Solve the formula for the specified variable.
-$F = \frac { 9 } { 5 } C + 32 \quad \text { for } C$

Accepted Answer

A)  $C = \frac { 5 } { 9 } ( F - 32 )$ 
B)  $C = \frac { F - 32 } { 9 }$ 
C)  $C = \frac { 9 } { 5 } ( F - 32 )$ 
D)  $C = \frac { 5 } { F - 32 }$

Question 5

Substitute the given values into the formula and solve for the unknown variable.
-$\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } ; \mathrm { V } = 15 , \mathrm {~h} = 3$

Accepted Answer

A)  5 
B)  45 
C)  15 
D)  18

Question 6

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--6c + 6 + 4c = -3c + 11

Accepted Answer

A)  11 
B)  -11 
C)  5 
D)  -6

Question 7

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-Attendance this year at the homecoming football game is 139% of what it was last year. If last year's homecoming football game attendance was 33,000, what is this year's attendance? (Round to the Nearest integer, if necessary.)

Accepted Answer

A)  458,700 people 
B)  45,870 people 
C)  237 people 
D)  4212 people

Question 8

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-A store is advertising 35% off sale on everything in the store. Find the discount of a painting that regularly sells for $2900.

Accepted Answer

A)  $1885.00 
B)  $101.50 
C)  $2798.50 
D)  $1015.00

Question 9

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-Of the 120 students in an algebra class, 2 of them received an F on the mid-term exam. What percent of the algebra students received an F on the exam? (Round to the nearest tenth of a percent,
If necessary.)

Accepted Answer

A)  60% 
B)  1.7% 
C)  16.7% 
D)  600%

Question 10

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

-If terms are not like terms, they are .

Accepted Answer

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

Question 11

Solve the inequality. Graph the solution set and write it in interval notation.
-$- 5 x + 10 - 8 x < 8 - 15 x + 10$

Accepted Answer

A)  $( - \infty , 4 )$
 
B)  $( - \infty , 14 ]$
 
C)  $( 14 , \infty )$
 
D)  $( 4 , \infty )$

Question 12

Substitute the given values into the formula and solve for the unknown variable.
-Use the formula $\mathrm { C } = \frac { 5 } { 9 } ( \mathrm {~F} - 32 )$ to convert $14 ^ { \circ } \mathrm { F }$ to degrees Celsius.

Accepted Answer

A)  $- 10 ^ { \circ } \mathrm { C }$ 
B)  $57.2 ^ { \circ } \mathrm { C }$ 
C)  $- 24.2 ^ { \circ } \mathrm { C }$ 
D)  $25.6 ^ { \circ } \mathrm { C }$

Question 13

Identify the numerical coefficient of the term.
-$- 9 x ^ { 2 }$

Accepted Answer

A)  $x ^ { 2 }$ 
B)  9 
C)  2 
D)  $- 9$

Question 14

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 29,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Accepted Answer

A)  986 students 
B)  9860 students 
C)  522 students 
D)  5220 students

Question 15

Write the following as an equation, using x for the unknown number. Then solve.
-Four times a number added to 9 times the number equals 52. Find the number.

Accepted Answer

A)  4x(9 + x) = 52; 5.8 
B)  4x - 9x = 52; -5.8 
C)  4(x + 9) = 52x; 0.8 
D)  4x + 9x = 52; 4

Question 16

Indicate whether the list of terms are like or unlike.
-$20 x y ^ { 2 } z , - 4 x y ^ { 2 }$

Accepted Answer

A)  like 
B)  unlike

Question 17

Solve the problem.
-A convenience store employee is counting $10 and $20 bills. If there are six times as many $10 bills as $20 bills and the total amount is $1920, find the number of each type of bill.

Accepted Answer

A)  144 $20 bills; 6 $10 bills 
B)  24 $20 bills; 6 $10 bills 
C)  24 $20 bills; 144 $10 bills 
D)  144 $20 bills; 24 $10 bills

Question 18

Solve. Round to one decimal place when necessary.
-Due to a lack of funding, the number of students enrolled at City College went from 9000 last year to 2000 this year. Find the percent decrease in enrollment.

Accepted Answer

A)  $77.8 \%$ 
B)  $350 \%$ 
C)  $22.2 \%$ 
D)  $450 \%$

Question 19

Identify the numerical coefficient of the term.
-$- \frac { 3 } { 8 } z$

Accepted Answer

A)  $- \frac { 3 } { 8 }$ 
B)  $\mathrm { Z }$ 
C)  $\frac { 3 } { 8 }$ 
D)  $- 3$

Question 20

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

-An equation that describes a known relationship among quantities is called a .

Accepted Answer

A)  linear inequality in one variable 
B)  numerical coefficient 
C)  formula 
D)  linear equation in one variable

Exam 2: Equations, Inequalities, and Problem Solving

Simplify the expression by combining any like terms. - $8 x + x - 2 x + x$

Write the algebraic expression described. Simplify if possible. -The sum of the angles of a triangle is $180 ^ { \circ }$ . If one angle of a triangle measures $x ^ { \circ }$ and a second angle measures $( 9 x + 18 ) ^ { \circ }$ , express the measure of the third angle in terms of $x$ .

Solve the formula for the specified variable. - $F = \frac { 9 } { 5 } C + 32 \quad \text { for } C$

Substitute the given values into the formula and solve for the unknown variable. - $\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } ; \mathrm { V } = 15 , \mathrm {~h} = 3$

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --6c + 6 + 4c = -3c + 11

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -A store is advertising 35% off sale on everything in the store. Find the discount of a painting that regularly sells for $2900.

Fill in the blank with one of the words or phrases listed below. -If terms are not like terms, they are .

Substitute the given values into the formula and solve for the unknown variable. -Use the formula $\mathrm { C } = \frac { 5 } { 9 } ( \mathrm {~F} - 32 )$ to convert $14 ^ { \circ } \mathrm { F }$ to degrees Celsius.

Identify the numerical coefficient of the term. - $- 9 x ^ { 2 }$

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 29,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Write the following as an equation, using x for the unknown number. Then solve. -Four times a number added to 9 times the number equals 52. Find the number.

Indicate whether the list of terms are like or unlike. - $20 x y ^ { 2 } z , - 4 x y ^ { 2 }$

Solve the problem. -A convenience store employee is counting $10 and $20 bills. If there are six times as many $10 bills as $20 bills and the total amount is $1920, find the number of each type of bill.

Solve. Round to one decimal place when necessary. -Due to a lack of funding, the number of students enrolled at City College went from 9000 last year to 2000 this year. Find the percent decrease in enrollment.

Identify the numerical coefficient of the term. - $- \frac { 3 } { 8 } z$

Fill in the blank with one of the words or phrases listed below. -An equation that describes a known relationship among quantities is called a .

Exam 2: Equations, Inequalities, and Problem Solving

Simplify the expression by combining any like terms. - 8x+x−2x+x8 x + x - 2 x + x8x+x−2x+x

Write the algebraic expression described. -Given the following quadrilateral, express the perimeter, or total distance around the figure, as an algebraic expression containing the variable x\mathrm { x }x .

Solve the formula for the specified variable. - F=95C+32 for CF = \frac { 9 } { 5 } C + 32 \quad \text { for } CF=59​C+32 for C

Substitute the given values into the formula and solve for the unknown variable. - V=13Ah;V=15, h=3\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } ; \mathrm { V } = 15 , \mathrm {~h} = 3V=31​Ah;V=15, h=3