Writing Equations
The Distributive Property
Solving Equations
Functions and Relations
The Distributive Property in Reverse
100
You earn $9.65 per hour. This week you earned $308.80. Write an equation to find the number of hours, x, you worked this week.
9.65x=308.80
100
Simplify: 2(2x+4)
4x+8
100
60 = 6 + 9x
x = 6
100
Identify the domain and range of the function: (-1, -3), (0, 4), (4, 5) , (8, 10)
domain: -1,0,4,8 range: -3,4,5,10
100
rewrite: 4x + 22
2(2x+11)
200
Mr. Hampton has tests to grade. It takes him 3 minutes to grade each test. He has already spent 40 minutes grading. Write an equation that represents the total T time he spends grading t tests.
T=3t+40
200
Simplify: 3(2x - 4)
6x - 12
200
4x + 10 = -6
x = -4
200
evaluate the function f(x)=8x - 2 at x = -3
f(-3) =8(-3) - 2= -26
200
rewrite: -8x - 10
-2 (4x + 5)
300
Jim wants to buy a bike for $787.50. He works a job that pays $7.50. Write an equation that finds the number of hours h Jim needs to work to buy the bike.
7.50h=787.50
300
(50x+20)/5
10x + 4
300
-4 - x/2 = -7
x = -6
300
Evaluate the function f(x) = (x/2) -10 at x =20
f(x) =20/2 - 10= 0
300
rewrite: -6x + 27
3(-2x + 9)
400
Write the inequality for the graph of the compound inequality. See board
-3<x<0
400
(5x - 15) / 5
x - 3
400
4(x+10) = 30 + 2(6+3x)
x = -1
400
evaluate the function f(x)=30 - 2x at x = 3
f(3) = 30 - 2(3)= 24
400
rewrite: 8x + 36
4(2x+9)
500
graph: x≤-3 or x>3
see graph
500
-0.5(20x - 4)
-10x + 2
500
-(10-x)=3(x+4)
x = -11
500
evaluate the function f(x)=-3 - x/-4 at x = -8
f(3) = -3 - (-8)/-4= -5
500
rewrite: 70 - 115x
5(14-23x)
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