Question 1

Solve:

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Which of the following is not a solution to the inequality  ?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Your weekly paycheck is 16% more than your coworker's.Your two paychecks total $1188.Find the amount of your coworker's paycheck.

Accepted Answer

A)  $587 
B)  $638 
C)  $502 
D)  $694 
E)  $550

Question 4

Use the discriminant to determine the number of real solutions of the quadratic equation below.

Accepted Answer

A)  one real solutions 
B)  three real solutions 
C)  four real solutions 
D)  two real solutions 
E)  no real solutions

Question 5

Solve  by extracting square roots.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Suppose a lunch consisting of a large hamburger, large fries and large soft drink at a fast food chain contains 1380 calories.A lunch consisting of a small hamburger, small fries and a small soft drink at the same fast food chain contains 880 calories.Find the percent change in calories from the smaller to the larger lunch.Round to the nearest hundredth of a percent.

Accepted Answer

A)  56.82% increase 
B)  63.77% decrease 
C)  63.77% increase 
D)  36.23% increase 
E)  56.82% decrease

Question 7

Solve the inequality below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Solve the rational equation below.

Accepted Answer

A)  -8 
B)  -19 
C)  -17 
D)  6 
E)  -4

Question 9

The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations  Female  Male where  is the length of the femur in inches and x is the height of the adult in inches (see figure).  An anthropologist discovers a femur belonging to an adult human female.The bone is 12 inches long.Estimate the height of the female.Round to the nearest tenth of an inch.

Accepted Answer

A)  50.1 inches 
B)  48.9 inches 
C)  51.9 inches 
D)  50.7 inches 
E)  55.0 inches

Question 10

Find all solutions of

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Find the real solutions of the equation below involving absolute value.Check your solutions.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

The price of a computer fell 15% this year.If the computer now costs $680, how much did it cost last year?

Accepted Answer

A)  $760 
B)  $820 
C)  $800 
D)  $780 
E)  $790

Question 13

An investment adviser invested  in two accounts. One investment earned 6% annual simple interest, and the other investment earned 7.5% annual simple interest. The amount of interest earned for 1 year was  How much was invested in each account?

Accepted Answer

A)   @ 6%;  @ 7.5% 
B)   @ 6%;  @ 7.5% 
C)  $50,000 @ 6%; $40,000 @ 7.5% 
D)   @ 6%;  @ 7.5% 
E)   @ 6%;  @ 7.5%

Question 14

Solve  by any convenient method.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

One number is 1 more than another number.The sum of their squares is 41.Find the numbers.

Accepted Answer

A)  4, 5 or -5, -4 
B)  3, 4 or -4, -3 
C)  9, 10 or -10, -9 
D)  2, 3 or -3, -2 
E)  7, 8 or -8, -7

Question 16

A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides.If the volume of the box needs to be 90.75 cubic inches, what size square piece of cardboard is needed?

Accepted Answer

A)  10.0 inches by 10.0 inches 
B)  14.0 inches by 14.0 inches 
C)  2.5 inches by 2.5 inches 
D)  8.5 inches by 8.5 inches 
E)  11.5 inches by 11.5 inches

Question 17

Solve the quadratic equation below by extracting square roots.Round to two decimal places.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Two planes leave simultaneously from the same airport, one flying due east and the other due south.The eastbound plane is flying 75 miles per hour slower than the southbound plane.After 3 hours the planes are 1863 miles apart.Find the speed of the southbound plane.

Accepted Answer

A)  475 miles per hour 
B)  350 miles per hour 
C)  375 miles per hour 
D)  425 miles per hour 
E)  400 miles per hour

Question 19

How many liters of a 25% acid solution should be mixed with 3 liters of a 15% acid solution to produce a 23% solution?

Accepted Answer

A)  4 liters 
B)  12 liters 
C)  7 liters 
D)  2 liters 
E)  6 liters

Question 20

Solve the following equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 1: Equations and Inequalities

Solve:

Which of the following is not a solution to the inequality ?

Your weekly paycheck is 16% more than your coworker's.Your two paychecks total $1188.Find the amount of your coworker's paycheck.

Use the discriminant to determine the number of real solutions of the quadratic equation below.

Solve by extracting square roots.

Solve the inequality below.

Solve the rational equation below.

Find all solutions of

Find the real solutions of the equation below involving absolute value.Check your solutions.

The price of a computer fell 15% this year.If the computer now costs $680, how much did it cost last year?

An investment adviser invested in two accounts. One investment earned 6% annual simple interest, and the other investment earned 7.5% annual simple interest. The amount of interest earned for 1 year was How much was invested in each account?

Solve by any convenient method.

One number is 1 more than another number.The sum of their squares is 41.Find the numbers.

A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides.If the volume of the box needs to be 90.75 cubic inches, what size square piece of cardboard is needed?

Solve the quadratic equation below by extracting square roots.Round to two decimal places.

Two planes leave simultaneously from the same airport, one flying due east and the other due south.The eastbound plane is flying 75 miles per hour slower than the southbound plane.After 3 hours the planes are 1863 miles apart.Find the speed of the southbound plane.

How many liters of a 25% acid solution should be mixed with 3 liters of a 15% acid solution to produce a 23% solution?

Solve the following equation.