Standard 7.1 Homework (Day 5)
Rewrite Equations and Formulas
Name____________________
For exercises 1 and 2, use the vertical motion formula
v = initial velocity, s = initial height and t = time in seconds.
h = −16t2 + vt + s
1. A football is punted from a height of 2.5 feet above the ground and with an
initial vertical velocity of 45 feet per second.
a. Use the vertical motion formula above to write an equation that gives the height
h (in feet) of the football as a function for the time t (in seconds) after it has
been punted.
b. The football is caught 5.5 feet above the ground. Find the amount of time that
the football is in the air.
2. An athlete throws a shot put with an initial vertical velocity of 40 feet per
second from a height of 6.5 feet.
a. Use the vertical motion formula above to write and equation for the height h (in
feet) of the shot put as a function of time t (in seconds) after it is thrown.
b. How long will the shot put be in the air before it lands on the ground?
Mrs. Veatch
π
Parkway South High School
π
Algebra 1
Standard 7.1 Homework (Day 5)
Rewrite Equations and Formulas
Name____________________
Solve the formula for the indicated variable.
3. d = rt Solve for r
4. S = 2B + Ph Solve for B
5. A = π r2 Solve for r.
Write each equation so y is a function of x (solve for y).
6. 2x + 3y = 18
7. –x + 2y = 6
Solve the following equations by factoring.
9. x2 − 7x + 10 = 0
Mrs. Veatch
π
8.
1
y − 8 = 2x
3
10. x2 = 15 + 2x
Parkway South High School
π
Algebra 1
Standard 7.1 Homework (Day 5)
Rewrite Equations and Formulas
Name____________________
Solve the following equations using the quadratic formula
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ି࢈േඥ࢈૛ ି૝ࢇࢉ
૛ࢇ
11. x2 + 3x − 10 = 0
12. −x2 + 3x = −18
13. 3x2 + 2x + 4 = 6x − 4
14. 3x2 + 2x + 7 = 2x2 + 8x − 2
Mrs. Veatch
π
Parkway South High School
π
Algebra 1