You are taking a math quiz and need to complete at least 10 geometry problems and algebra problems within 120 minutes. It will take you 30 minutes to complete a geometry problem and 10 minutes to complete an algebra problem. What will be the y-intercept for both equations? E. (0,10) and (0,12) F. (0,10) and (0,4) G. (10,0) and (12,0) H. (10,0) and (4,0)
You are taking a math quiz and need to complete at least 10 geometry problems and algebra problems within 120 minutes. It will take you 30 minutes to complete a geometry problem and 10 minutes to complete an algebra problem. What will be the y-intercept for both equations? E. (0,10) and (0,12) F. (0,10) and (0,4) G. (10,0) and (12,0) H. (10,0) and (4,0)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Math-8-Q2-Week-2 - Saved
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2. You are taking a math quiz and need to complete at least 10 geometry problems and algebra problems
within 120 minutes. It will take you 30 minutes to complete a geometry problem and 10 minutes to complete
an algebra problem. What will be the y-intercept for both equations?
Е. (0,10) and (О,12)
F. (0,10) and (0,4)
G. (10,0) and (12,0)
H. (10,0) and (4,0)
3. You want to spend the 60 minutes making some desserts for your 8 friends. It will take you 5 minutes to
make a waffle and 10 minutes to make a chocolate cake. Which of the following graph correctly models this
situation?
I.
J.
К.
4. Your spare time must not exceed a maximum of 10 hours a week and your weekly allowance is P500. You
need to pay P50 an hour for playing video games and P100 an hour for bowling. Which of the following
graph correctly models this situation?
М.
N.
O.
P.N
Remember
“A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, <, or 2 instead of an =."
When you get into solving word problems involving linear inequalities in two variables, don't let that
ntimidate you! You have all the skills that you need to solve the given problems. Take one step at a time and
hink about what you need in order to answer the question. Consider the following steps;
1. Read through every problem very carefully.
2. Identify your variables.
3. Pay careful attention to the key words that will determine your inequality symbol.
4. Assign a variable to represent your unknowns.
5. Write an inequality to represent the given statement.
6. Graph your given system.
7. Make a test part for your given linear inequalities to identify if it is a true statement or a false
statement.
8. Identify the solution set by looking at the area that is shaded by your given graphs.
Check Your Understanding
Solve the following problems involving system of linear inequalities in two variables.
1. You want to learn Mathematics. You have to complete at least 10 arithmetic tests and logic tests within 100
minutes. It will take you 10 minutes to complete the arithmetic test and 20 minutes to complete the logic
test. Write the system of linear inequalities that represent the given situation.
••.
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