Rational Operations
Simplifying Expressions
Equations / Inequalities
Word Problems to Equations
Tables to Equations
100
-5 - 10 =
-15
100
Simplify: 3x + (-2x) + 5
x + 5
100
15 = -4x + 3
x = -3
100
Write an equation for this situation:
Horizon Cell Company charges $0.75 cents per text.
y = .75t
or
y = 3/4t
100
Is the table proportional?
Yes
200
3/4 + (-5) =
-4 1/4 or -4.25 or - 17/4
200
Simplify: 3(7x - 6)
21x + (-18)
200
6/7x -4 = 5
x = 21/2 or 42/4 or 10.5
200
Write an equation for this situation:
Performance Floors Inc. charges $7.50 per square foot for wood flooring plus $225 supplies fee.
y = 7.5f + 225
200
What is the Constant of Proportionality for this table?
3
300
-6 * -10
60
300
-2/5( 5/3x + 10)
-2/3x + (-4)
300
14 > 8 - 2x
-3 < x or x > -3
(Don't forget that when you use the multiplicative inverse with a negative, the inequality switches)
300
Write an equation for this situation, and solve:
Tammy went to the fair and bought pizza for $7.50, and each ride costs $3.75 each. If she rode on 10 rides, how much did she spend?
y = 3.75r + 7.50
and
$45 is the total spent by Tammy
300
Write the Equation for the table.
p = 15w
400
-4/5 * 5/6 =
-2/3 or -4/6 or -.66666...
400
1/2(3x + 2) + 4x - 2
5.5x + (-1)
400
3x + 4 - 5x < 12
x > -4
(Don't forget that when you use the multiplicative inverse with a negative, the inequality switches)
400
Write an equation for this situation, and solve:
You burn 20.5 calories per mile when you bike, and an additional 110 calories for the warm-up and cool down. If you biked 9.75 miles, how many calories did you burn?
y = 20.5m + 110
and
You burned a total of 309.875 calories
400
What makes a graph proportional?
If it goes through the origin and is a straight line.
500
(-(5)/7)/(2/14)
-5
500
What is the value of x if the relationship of the two angles is complementary?
m<1 = 44x
m<2 = x
x = 2
500
Write an equation for this situation, and solve:
Jordin hired a plumber to fix his sink. The plumber has been in business for 15 years. The plumber charges $35 per hour, and has a $25 surcharge for driving out to your house. If the sink took 3.5 hours to fix, how much did it cost?
y = 35h + 25
and
the total was $147.50 for the sink installation.
(By the way, 15 years in business was extra information. I hope you did not fall for that trick.)
500
What is the constant of proportionality for this table?
There isn't one!