Rewrite the equation in function form ("y is a function of x"):
3x + 4y = 15 + 6y
What is
y = (3/2)x - (15/2) or y = 1.5x - 7.5
300
Graph and label the linear equation y=2x-6 using a function table with input values -2, -1, 0, 1, and 2.
What is
(-2, -10), (-1, -8), (0, -6), (1, -4), (2, -2)
check graph
300
Solve:
6a-4[2-3(4a-3)]=-17
What is a=1/2
400
Evaluate the expression when y = 2 and x = -4
2x^3 + 4y^2
What is
-112
400
Find the sum and difference of the matrices:
2 -6 3 -3
4 7 -2 5
-8 2 1 0
What is
sum diff
5 -9 -1 -3
2 12 6 2
-7 2 -9 2
400
solve for x when y= -2 and 6:
5y - 2(x - 7) = 20
What is
x = -8 and x = 12
400
Graph the equations x=-3 and y=2 on the same coordinate plane. Then find the point of intersection.
What is
(check graph)
point of intersection is (-3, 2)
400
Point A corresponds to -5 and point B corresponds to 7. What number corresponds to the point that is one-third as far from A as it is from B? (Use a number line to help you!)
What is -2.
500
Write an equation and solve for the word problem:
The music club is selling CDs for $12.00 to raise money for new instruments. They need to raise $972.00. How many CDs do they need to sell?
What is
12.00x = 972.00
x = 81 CDs
500
You randomly choose a marble from a bag holding 5 red, 7 blue, and 13 yellow marbles.
a) What is the probability that you choose a blue marble?
b) What are the odds that you choose a red marble?
What is
a) P=7/25 or 0.28
b) O=1/4 or 1 to 4
500
One DVD rental club charges a one-time $30 membership fee plus $10 per month. Another DVD rental club charges $15 per month but has no membership fee. Which club is more economical?
What is
first club if more than 6 months; second club if fewer than 6 months
500
Explain the difference between the identity property of addition and multiplication. Then explain the difference between the identity properties and an identity equation.
What is
Identity property of addition: the sum of a number and zero is the number
Identity property of multiplication: a number multiplied by one is the number
An identity equation is an equation whose solution is all real numbers.
500
Solve for x in terms of the other variables:
2/3 ab - 1/5 x = 2