Physics 11—Review of the Fundamentals of Math Section 1: Linear Equations 1. Use the following points to make: i. The slope of the line ii. The equation of the line iii. A graph of your equation a. A(2, 3) B(6, 11)
b. A(-5, 9) B(4, 3)
c. A(-7, -3) B(5, -1)
2. Graph each of the following equations. a. y
3 x 1 2
5 b. y x 3 4
c. 5x 4 y 12 0
3. a. Create the equations for the following graphs.
Value in $
Grades
(0,20000)
Cost in $
(10,90) (8,2) (0,30) (20,0) Time in years
Hours of Homework
Number of Bananas
b. What do the slopes represent? c. What conclusions can you draw from each graph?
4. a. Isolate x in each of the following equations. i. 3x 2 y 9
ii. 5xyz 15
iii. 3xy 2 xz 5xyz 4
b. Isolate y in each of the following equations. i. 4x y 8
ii. 2 y 3 yx 0
Page 1 of 3
iii. 3xz 2xy 3 y
Warren—NKEC
Name: _________________________________
Section 2: Quadratic Equations 5. Isolate for ‘r’ in each of the following: a. A r 2
b. F
GMm r2
4 c. V r 3 3
Section 3: Rational Expressions (Fractions) 6. Add the following. a.
3 4 7 5
b.
1 1 a b
c.
1 2 3R 4 R
1 1 a b
c.
1 2 3R 4 R
7. Subtract the following. a.
3 4 7 5
b.
8. Multiply the following. a.
7 3 5 2
b.
3 b a 9
c.
1 5 2 R 1 3R 5
b.
3 b a 9
c.
1 5 2 R 1 3R 5
9. Divide the following. a.
7 3 5 2
Page 2 of 3
Warren—NKEC
Name: _________________________________
Section 4: Substitution 10. Sub equation i. into equation ii. You don’t need to solve anything in this question. a. i. x 3 y 1
ii. 3x 2 y 5
b. i. x 4 y 2
ii. 5x 2 y 1 0
c. i. 3x y 5
ii. 7 x 2 y 9
d. i. 5x 3 y 15 ii. 2 x 7 y 10
Section 5: Trigonometry 11. What does SOH CAH TOA stand for? 12. Solve for x. They are all right angled triangles. a.
b.
c.
d. 30°
7
60°
x
5
x
x
7
x
20° 3 12
13. Solve for the indicated angle. Again, right angled triangles. a.
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Use the formula sheet. Don't round until the end. Look at HOW the answer should be given: âround to nearestâ¦â For example: 0.123. The 1 is in the tenths place.
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The equation that models its height, h feet, off the ground t seconds after it was fired is h = - 16t2 + 40t. (a) How high is the rocket 1.5 seconds after it was fired?
