Which of the following is linear and Why?
a. y = 2 + 3x
b. y = 2x(x + 5)
c. y = 4x^2
d. y = 2^x
a. y = 2 + 3x
It is written in y=mx+b form
This equation is to the 1st power
100
Write an equivalent expression for:
10x-2x^2
Answers may vary:
2x(5-x)
100
What is the distance walked by:
Lisa - 2 miles per hour:
Tim - 2.5 miles per hour:
Jordan - 3 miles per hour
at the 11 hour mark if they continue at the same rate?
Who's graphed line will be the least steep?
Lisa - 22 miles:
Tim - 27.5 miles:
Jordan - 33 miles
Lisa's graphed line will be the least steep, since she is walking at the slowest pace/rate!
100
Consider the equation y = 4x - 10. Find y if x = 3
Substitute 3 into the equation for x
y = 4 (3) - 10
y = 12 - 10
y = 2
100
Which expression is not equivalent to W=1500-150T?
a. 15(100-10T)
b. 1500(1-150T)
c. 125+1375-10(15T)
d. 10(150-15T)
b. 1500(1-150T)
(distribute) 1500-225,000T
All other equations are equivalent forms
200
Write an algebraic expression for "8 more than 6 times a number is 5 less than 3 times that number"
(8 more) 8+
(6 times a number) 6x
(is) =
(5 less than) -5
(3 times that number) 3x
8+6x=3x-5
200
Write an equivalent expression for:
4(2x-3)+4x
Answers may vary:
(Distribute) 8x-12+4x
(Combine) 12x-12
(Factored Form) 12(x-1)
200
What are 4 different ways used to describe "slope"
Slope ; "m" ; rise over run ; Y2 - Y1 over X2 - X1 ; rate of change ; rate of change between the y values ; coefficient ; and any other appropriate description approved by your teacher
200
Which equation below contains the solutions (2, 13) & (6, 33)?
a. y = 1/5x + 3
b. y = 5x + 5
c. y = 1/5x + 5
d. y = 5x + 3
d. y = 5x + 3
How do you know?
200
Write the following equation in factored form:
x^2 + 7x + 12
A=1 B=7 C=12
Factors of C {1x12, -1x-12, 2x6, -2x-6, 3x4, -3x-4}
Factor sums {13, -13, 8, -6, 7, -7}
Factore pair that =B=7 {3,4}
(x+3)(x+4)
300
Describe how you would find the y-intercept from a graph? table? equation?
graph - look to see where it crosses the y-axis
table - find where the x value is 0
equation - locate the constant or b in an equation in y-mx+b form
300
Write an equivalent expression for:
(15-4x)-(10-x)
Compare and Contrast Linear and Quadratic equations
List a minimum of 4 facts
Answers may vary
400
Write an equivalent expression for:
3(10+x)-(30+3x)
Answers may vary:
(distribute 3 & -1) 30+3x-30-3x
(combine) 0+0
400
Write 19343926 in scientific notation
1.9343926 x 10^7
400
Solve this equation for x:
2x - 3 = 5x + 12
2x - 3 = 5x + 12
-2x -2x (Subtract 2 from both sides)
- 3 = 3x + 12 (Evaluate and Write)
-12 = - 12 (Subtract 12 from both sides)
-15 = 3x (Evaluate and Write)
/3 /3 (Divide by 3 on both sides)
-5 = x
400
Write the follwing equation in factored form:
x+15+3(x-1)-2x+6
(distribute) x+15+3x-3-2x+6
(combine)2x+18
(divide both factors by GCF) 2(x+9)
500
Daily Double ***** Make your wager - You can only wager the amount of money you have already earned!!!
Write your wager amount on the your white board!!
A new movie theater is offering memberships. The membership costs $75 per year plus $2 per movie. Write an equation and use it to find the cost after watching 21 movies!
500
Which of the following expressions is equivalent to:
3(x+4)-6+5x
a. 3x+12-x
b. 8x-2
c. 8x+6
d. 2x+6
(distribute 3) 3x+12-6+5x
(combine) 8x+6
Answer: C
500
Estimate the value of:
square root of 45
square root of 74
45 approximately 6.7 (6x6 = 36 & 7x7 = 49)
74 approximately 8.6 (8x8 = 64 & 9x9 = 81)
500
Consider this equation:
7(2x-3)-2(3x-15)=2x+45
solve for x
(Distribute 7 & -2) 14x-21-6x+30 =2x+45
(Combine) 8x+9=2x+45
(Move 9 by subtracting) 8x=2x+36
(Move 2x by subtacting) 6x=36
(isolate x by dividing) x=6
500
Write the following equation in expanded form:
2x(3x-4+7x)+5(8x+3)