Inequalities
Literal Equations
Solving Equations
Linear Equations
That's Random!
100
Write an inequality for the graph below.
x > 2
100
Rewrite the equation solved for h.
A = bh
h=A/b
100
3x - 17 = -5x + 23
x = 5
100
What is the slope of a line that goes through the points (-3, 5) and (1, -7)?
-3
100
Does the following relation represent a function? Why or why not?
No. The input -2 has two different outputs.
200
2(-5 - 3m) > -28
m < 3
200
Rewrite the equation solved for y
x + 2y = 3
y=(3-x)/2
200
12(2k + 11) = 12(2k + 12)
No solution.
200
Rewrite 5x - 3y = 9 in slope intercept form.
y = 5/3x - 3
200
What value(s) of x make the equation true?
|7+x|=5
-2 and -12
300
You go to the post office to mail a package and a few letters. Stamps cost $0.49 each. The package will cost $7.65. You only have $10. Write an inequality to represent this situation. What is the maximum number of letters you can send?
7.65 + 0.49s < 10; you can send 4 letters max.
300
Rewrite the equation solved for z.
x = y/z
z=y/x
300
3(x - 6) = 9(x - 2) - 6x
Infinitely Many Solutions
300
What is the equation on the line below in standard form.
2x+3y=15
300
Below is a scatter plot comparing the amount of ice cream sales to the number of sunglasses sold. Describe the correlation. Then write if the correlation implies causation.
There is positive correlation. However, there is no causation because buying sunglasses does not cause you to also buy ice cream.
400
4(2x-11) < -12+2(x-4)
x<4
400
Rewrite the equation solved for w.
r = (w + t)/q
w=rq-t
400
−11 + 10( p + 10) = 4 − 5(2p + 11)
p = -7
400
You open a savings account with $2100. The bank offers you an annual simple interest rate of 6%. What is the account worth in 3 years?
$2478
400
Is the below a function? Is it linear or nonlinear? Is it continuous or discrete?
Yes it's a function. It is nonlinear. It is discrete.
500
-2 < 3m - 5 < 7
1 < m < 4
500
Rewrite the equation solved for d.
V=1/3pid
d=(3V)/pi
500
Lenny makes $55,000 and gets a raise of $2,500 every year. Karl makes $62,000, and raises of $2,000 every year. How many years will it take for Lenny and Karl to make the same salary?
14 Years
500
Write the equation of a line that passes through the point (-4, 2) and is perpendicular to the line
y=-1/2x+6
y=2x+10
500
Write an equation for the graph below.
y= abs(x+3)-2