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f(x) = g(x)
D = R X T
Combining Like Terms
Distributive Property
2 Step Equations
100
Solve for x: 7x + 2 = 4x +17
5
100
Alian Prost won the British Grand Prix by driving for 1.41 hours at an average speed of 139.2 miles per hour. How many miles was the race?
196.2 mi.
100
Combine the like terms: 3x + 2x
b. 5x
100
Simplify the Equation 3(x + 2)
3x + 6
100
Solve for the variable: 9x − 7 = −7
0
200
Solve for x: 9x = 4x - 35
- 7
200
In 1934 Waiter Nilsson rode a unicycle 3,306 miles from New York to California. If he averaged 28.5 miles a day, how many days did the trip take?
116 days
200
Combine the terms: 3x + 4x - x
a. 6x
200
Simplify the Equation: 4(x + 2)
4x + 8
200
Solve for the Variable: −9x + 1 = −80
9
300
Solve for x: 6x - 6 = 9x - 36
10
300
A hockey puck has been clocked at a speed of 166 feet per second. At this speed, how long will it take the puck to travel the 200 - foot length of a hockey rink?
1.2 seconds
300
Combine the like terms: 7x - 4y + 2x - y
c. 9x - 5y
300
Simplify the Expression 10(x - 4) - 3y
10x - 40 - 3y
300
Solve for the Variable: −6 = n - 10 --- 2
8
400
Solve for x: 2(6x - 8) = 8(-2-4x)
0
400
A baseball pitch has been clocked at a speed of 147.9 feet per second. At this speed, how long does it take the baseball to travel from the pitcher's mound to home plat, a distance of 60.5 feet?
0.4 seconds
400
Combine the like terms: 10 - 4x + 3y - 17x + 7x - 4y + 6x - 5x + 2x + -3
-11 - 1 + 7
400
Simplify the Expression: 3(x + 5) - 5(x - 2)
-2x + 25
400
Solve for the Variable: 144 = −12(x + 5)
-17
500
Solve for x: 3(4 + 4x) = 12x + 42
c. no solution
500
2 Part Question Guiseppe Cantarella set a record by roller skating 1,320 feet in 34.9 seconds. 1. What was her average speed in feet per second? 2. What was her average speed in miles per hour (1 foot per second = 0.68 miles per hour.)?
1. 37.8 feet per second 2. 25.7 miles per hour
500
Combine the like terms: 6r - 2.3s - 9r - 3.5s
-3r - 5.8s
500
Simplify the Expression: 4(y + 3) + 5(y + 5) - 6(x - 3)
-6x + 9y + 55
500
Solve for the Variable: −10 = 10(k − 9)
8