*Solution
11a
Intermediate Algebra, Practice Test 1
Equations & Inequalities, Graphs & Functions
2. What is the slope of an equation that is perpendicular to the equation y = 4x + 3? *Solution 2
3. Write the equation of a line that passes through (2, 4), and is a *Solution 3
a) Vertical line.
b) Horizontal line.
4.
Put the equation x + 5y = 1 in Slope-Intercept form and find the y-intercept.
*Solution 4
*Another solution 4
5.
Determine if the lines x + 2y =2 and 2x + 4y =3, are parallel, perpendicular,
or neither.
*Solution 5 With Captions
*Similar Solution to 5
Related Lectures for Problem 6:
*Lecture for Solving Problems about Consecutive Integers
*Lecture for Translating and Solving a Linear Equations
*Lecture for Translating Verbal Statement into Algebric Expression
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.
*Another Solution 6, *Another Motion Problem
*Video Lecture for Graphing Linear Functions
7. Given the points (2, 4) and (- 4, 8),
a) Calculate the slope.
b) Write the equation in slope-intercept form.
*Video Lecture for Finding X and Y Intercepts
c) Find the y-intercept.
d) Find the x-intercept.
e) Graph the line.
*Video Lecture for Recognizing equations of horizontal and vertical lines.
*Video Lecture for Graphing Horizontal and Vertical Lines
a) X = -2
b) Y= 3
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) *Solution 12a *Solution 12a With Captions
b) Through (4,-3), (6, -2) *Solution 12b
13.Solve and check.
a) 
*Solution 13a *Similar Solution to 13a
b) 
*Solution 13b *Solution 13b With Captions
14. Solve, graph on a number line and write the solution in *interval notation.
*View short lecture for problem 14b, c
*Lecture for Properties Used to Solve Inequalities
a) 
b) 
*Solution 14b
*Solution 14b With Captions
c) 
*Solution 14c *Solution 14c With Captions
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?
*Solution 15 *Solution 15 With Captions
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?
*Solution 16
*Lecture for Solving Motion and Distance Problem
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.
*Solution 17 *Solution 17 With Captions
*Video Lecture for Recognizing Functions Using the Vertical Line Test
18. Given the graph, what type of test is used to determine whether or not it represents a function? *Solution 18
*Video Lecture for Understanding Relations
*Video Lecture for Evaluating Functions
*Video Lecture for Adding and Multiplying Functins
19. Given
the functions:
,
find
20. Graph the solution to the system of inequalities. Indicate the boundary lines and the test points.
x - 2y > 4
21. Solve, graph the solution on a number line, and write the answer using interval notaion.
a) x + 5 < 8 and 2x -9 > -7
b) 2 (y - 3 ) < 4y - 10 or y + 4 < 3
22. Determine the domain and range of each relation. Is each one a function?
a)
b)
23a)
Solve for x:
23b)
Solve for P:
