Question 1

Solve the formula for the specified variable.
-F =  C + 32 for C

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Write the quotient in the form a + bi.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Solve the problem.
-Find the value of a for the line that passes through (a, -8) and (-5, -2) and is perpendicular to y = ax + 1.

Accepted Answer

A)  0 
B)  - 8 
C)  1 
D)

Question 4

Solve the problem.
-Helen Weller invested $10,000 in an account that pays 10% simple interest. How much additional money must be invested in an account that pays 13% simple interest so that the average return on the two investments
Amounts to 11%?

Accepted Answer

A)  $5000 
B)  $6000 
C)  $10,000 
D)  $7000

Question 5

Solve the problem.
-Carl participates in a bowling tournament. After completing  of the games, his average score per game is 200. What must his average score be in the remaining games in order for his overall game average to be 223.33?
Round your answer to the nearest point.

Accepted Answer

A)  265 
B)  259 
C)  270 
D)  277

Question 6

Find the equation of the line through the given pair of points in standard form using only integers.
-(-3, -3) and (5, 8)

Accepted Answer

A)  11x - 8y = -15 
B)  11x - 3y = -9 
C)  8x - 8y = -9 
D)  11x - 8y = -9

Question 7

Solve the problem.
-Fahrenheit temperature F is a linear function of Celsius temperature C. The ordered pair (0, 32) is an ordered pair of this function because 0°C is equivalent to 32°F, the freezing point of water. The ordered pair (100, 212) is
Also an ordered pair of this function because 100°C is equivalent to 212°F, the boiling point of water. Use the
Two given points and the point-slope formula to write F as a function of C. Find the Fahrenheit temperature of
The inside of a car that is 15° C.

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Use a calculator to help solve the equation. Round approximate answers to three places.
--2.7q + 1.4 = -12.1 - 1.2q

Accepted Answer

A)  {5.000} 
B)  {-15} 
C)  {9} 
D)  {5.444}

Question 9

Solve the problem.
-There is less than $1100 difference between the tuition at State University and Highbrow College. The tuition at Highbrow is $4500. Express this as an absolute value inequality. Use "x" for the tuition of State University.

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Solve the problem.
-A rug is to fit in a room so that a border of consistent width is left on all four sides. If the room is 12 feet by 15 feet and the area of the rug is 40 square feet, how wide will the border be?

Accepted Answer

A)  5.5 ft 
B)  4.5 ft 
C)  6 ft 
D)  3.5 ft

Question 11

Draw a line that you think fits the data, and then use the line to determine the unknown quantity.
- y(1.7) = ?

Accepted Answer

A)  1.9 
B)  3.5 
C)  6.5 
D)  5.5

Question 12

Find the equation of the line through the given pair of points in standard form using only integers.
-(-3, 0) and (0, -5)

Accepted Answer

A)  -5x - 3y = -15 
B)  -5x + 3y = 15 
C)  5x - 3y = 15 
D)  -5x - 3y = 15

Question 13

Find the x- and y-intercepts for the equation. Then graph the equation.
-15y - 3x = -6

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Use the method of your choice to find all real solutions of the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Find the values of x for which the expression is a real number.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Solve the absolute value equation.
-

Accepted Answer

A)  {-12, 12} 
B)  {-4, 12} 
C)  {-22, 12} 
D)  {14, 12}

Question 17

Solve the problem.
-A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 6. Find the length of a side.

Accepted Answer

A)  5 
B)  1 
C)  3 
D)  2

Question 18

Identify the complex number as real or imaginary.
-

Accepted Answer

A)  Imaginary 
B)  Real

Question 19

Solve the problem.
-A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 7% cement should he mix with 3 bags of 37% cement to produce a mix containing 12% cement?

Accepted Answer

A)  17 bags 
B)  23 bags 
C)  15 bags 
D)  18 bags

Question 20

Find the x- and y-intercepts for the equation. Then graph the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Exam 1: Equations, Inequalities, and Modeling

Solve the formula for the specified variable. -F = C + 32 for C

Write the quotient in the form a + bi. -

Solve the problem. -Find the value of a for the line that passes through (a, -8) and (-5, -2) and is perpendicular to y = ax + 1.

Solve the problem. -Helen Weller invested $10,000 in an account that pays 10% simple interest. How much additional money must be invested in an account that pays 13% simple interest so that the average return on the two investments Amounts to 11%?

Solve the problem. -Carl participates in a bowling tournament. After completing of the games, his average score per game is 200. What must his average score be in the remaining games in order for his overall game average to be 223.33? Round your answer to the nearest point.

Find the equation of the line through the given pair of points in standard form using only integers. -(-3, -3) and (5, 8)

Use a calculator to help solve the equation. Round approximate answers to three places. --2.7q + 1.4 = -12.1 - 1.2q

Solve the problem. -There is less than $1100 difference between the tuition at State University and Highbrow College. The tuition at Highbrow is $4500. Express this as an absolute value inequality. Use "x" for the tuition of State University.

Solve the problem. -A rug is to fit in a room so that a border of consistent width is left on all four sides. If the room is 12 feet by 15 feet and the area of the rug is 40 square feet, how wide will the border be?

Draw a line that you think fits the data, and then use the line to determine the unknown quantity. - y(1.7) = ?

Find the equation of the line through the given pair of points in standard form using only integers. -(-3, 0) and (0, -5)

Find the x- and y-intercepts for the equation. Then graph the equation. -15y - 3x = -6

Use the method of your choice to find all real solutions of the equation. -

Find the values of x for which the expression is a real number. -

Solve the absolute value equation. -

Solve the problem. -A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 6. Find the length of a side.

Identify the complex number as real or imaginary. -

Solve the problem. -A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 7% cement should he mix with 3 bags of 37% cement to produce a mix containing 12% cement?

Find the x- and y-intercepts for the equation. Then graph the equation. -