State the domain and range:
{(8,5) (-6,-9) (2,5) (0,-8)}
Domain: {-6,0,2,8}
Range: {-9,-8,5}
100
Write the expression using a positive exponent:
g-7
1/g7
100
Find f(-3), f(-2), and f(6) if f(x) = 7 + 3x
f(-3) = -2
f(-2) = 1
f(6) = 25
100
State the slope and y-intercept:
3x + y = -4
m = -3 and b = -4
200
Write the expression using exponents:
3 * 3 * 5 * q * q * q
32 * 5 * q3
200
Solve for v:
6 = (1/12)v
v = 72
200
Write the number in standard form:
3.16 x 103
3,160
200
Does the equation y = 4x2 + 3 represent a linear or nonlinear equation? Explain!
Nonlinear because the equation is a quadratic. Linear equations do not have exponents.
200
Solve for x:
(-1/2)x - 7 = -11
x = 8
300
Simplify using exponents:
(-7a4bc3)(5ab4c2)
-35a5b5c5
300
(8v9)5
32768v45
300
Solve:
-6f + 13 = 2f - 11
f = 3
300
The 8th graders travel 68 miles per hour. The 7th graders travel 330 miles in 6 hours. Compare their rates of change and pick the better option.
68/1 > 55/1, 8th graders
300
State the x-intercept and y-intercept:
y = -2x + 7
x-intercept: 3.5
y-intercept: 7
400
Solve:
8(t + 2) - 3(t - 4) = 6(t - 7) + 8
t = 62
400
A library charges a late fee of $3.50 plus $0.15 per day. Write an equation to find the total late fee, f, for any number of days late, d. Then find how much it would cost if the book is 10 days late.
f = 3.50 + 0.15d
For 10 days, it would cost $5.00
400
Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet.
-5/8
400
Find the value of x in the triangle that has two other angle measures of 25 degrees and 35 degrees
x = 120 degrees
400
Write an equation in point-slope form:
A line passes through (1,9) and has a slope of 2.
y - 9 = 2(x - 1)
500
Triangle PQR has vertices P(0,0) Q(5,-2) and R(-3,6).
Find P', Q', and R' after the translation 6 units right and 5 units down.
P'(6,-5) Q'(11,-7) and R'(3,1)
500
Solve the system of equations algebraically:
y = (1/4)x
y = x + 4y = 8
(4, 1)
500
G(4,2) H(3,-4) and I(1,1)
If you reflect these points over the y-axis, what are the new coordinate points?
G'(-4,2) H'(-3,-4) I'(-1,1)
500
Use the Pythagorean Theorem to find b, if a = 5.1 and c = 12.3
b = 11.2
500
D(-4,4) E(-1,2) F(-3,1)
What would the new coordinate points be after a 90 degree clockwise rotation?