Sample Test 1

Intermediate Algebra, Sample (Practice or Take Home) Test 1

Equations & Inequalities, Graphs & Functions

Name: ______________________________ Student ID: _______________________

Instructions: Print this “Take Home Test”, and solve all problems using Blank Papers. Please show your work completely, and post them in the discussion forum on Canvas befoer the due date.

Write the equation of a line that has a slope of 3 and a y-intercept of 1.

2. What is the slope of an equation that is perpendicular to the equation y = 4x + 3?

3. Write the equation of a line that passes through (2, 4), and is a

a) Vertical line.

b) Horizontal line.

4. Put the equation x + 5y = 1 in Slope-Intercept form and find the y-intercept.

5. Determine if the lines x + 2y =2 and 2x + 4y =3, are parallel, perpendicular, or neither.

6. John leaves his house at 7:00 a.m. His sister, Mary leaves the house at 8:30 a.m. and tries to catch up with John. She is walking 2 km/h faster than him on the same route in the same direction. If they both kept on the same route, Mary could reach John 3 hours after she left. Find John and Mary’s speed.

7. Given the points (2, 4) and (- 4, 8),

a) Calculate the slope.

b) Write the equation in slope-intercept form.

c) Find the y-intercept.

d) Find the x-intercept.

e) Graph the line.

Graph the following lines in a rectangular coordinate system and clearly show the intercept on the graph.

a) X = -2

b) Y= 3

Write the equation of a line in Slope-Intercept form, that passes through (1, 4) and is perpendicular to the line 2x = 3y + 2.
A chemistry lab assistant wants to prepare 10 liters of 48% acid solution. In stock he has 80% and 40% acid solutions. How many liters of each in stock solution should he mix to prepare a 10-liter mixture?
Solve

12. 12.Use the point-slope form to find the equation of a line with the properties given. Then write the equation in slope-intercept form.

a) Slope= 1/2, through (4, -1)

b) Through (4,-3), (6, -2)

13.Solve and check.

14. Solve, graph on a number line and write the solution in interval notation.

15. 15.Admission tickets to the Braden River Little League all-star game cost $4.00 for adults and $1.50 for children. A total of 225 tickets were sold and a total of $500 was collected from ticket sales. How many adult tickets and how many children’s tickets were sold?

16. 16.A solution contains 15% chemicals. How many litters of the solution must be mixed with another solution with 10% chemicals to make 10 litters of solution containing 12% chemicals?

17. 17.A train and car leave from the Pasadena railroad station at the same time headed for the state fair in Sacramento. The car averages 50 miles per hour and the train averages 70 miles per hour. If the train arrives at the fair 2 hours ahead of the car, find the distance from the railroad station to the state fair.

18. 18.Given the graph, what type of test is used to determine whether or not it represents a function?