x and y ints
Find the y-intercept of:
y = (3/2)x + 8
(0, 8)
Given f(x) = (x + 4)3, find f(5)
f(5) = 729
Arithmetic, Geometric or Neither?
75.4, 67.86, 61.074
Geometric (r = 0.9)
Solve for x:
3(2x – 1) + 12 = 4x – 3
x = -6
State which method is best in solving the system of equations below and then solve it.
x + 2y = 17
x = 2 + y
Substitution
(7, 5)
Find the x-intercept of:
2x + 3y = 6
(3, 0)
Determine the domain and range:
y = 3(x + 1)2 – 4
Domain: All real numbers
Range: -4 ≤ y < infinity
Determine if the following sequence is arithmetic or geometric. Then write the equation for it.
-7, -3, 1, 5, 9, ....
Arithmetic
t(n) = 4n – 11
Solve for x:
x+2 = 29-5x
2 3
x = 4
State which method is best in solving the system of equations below and then solve it.
4x + 5y = 11
-x - 3y = -8
Elimination
(-1, 3)
Find the y-intercept of:
f(x) = -5x2 + 3x – 11
(0, -11)
Find the equation of the line that passes through the points (-2, 4) and (4, -5)
y = (-3/2)x + 1
Find the equation represented in the table:
n t(n)
1 6
2 7.2
3 8.64
t(n) = 5(1.2)n
Solve for x:
3x + 2 = 2
7 7
x = 4
State which method is best in solving the system of equations below and then solve it.
2x – 6y = 7
-10x + 30y = -35
Elimination
Infinite Solutions
Find the x-intercept(s) of:
f(x) = x2 – 11x – 26
(13, 0) and (-2, 0)
Given g(x) = x2 – x, find g(-6)
g(-6) = 42
Jillian got a new phone for her birthday. After 8 weeks, she had 70 songs on it. After 15 weeks she had 126 songs on it. Find the equation that represents the situation.
t(n) = 8n + 6
Brendan went shopping for a new calculator. He found one for $90 and he had a coupon for 11% off. The tax on it was 5.5%. How much will the calculator cost after the discount and the tax?
90(.89)(1.055)
$84.51
Solve the system of equations using whichever method you prefer:
5x – 4y = 10
15x – 12y = 20
No Solution
Find the intercepts of:
f(x) = 2x2 + 5x – 12
(0, -12)
(1.5, 0)
(-4, 0)
State the domain and range:
f(x) = -2(x+6)1/2 – 5
Domain: -6 ≤ x < infinity
Range: negative infinity < y ≤ -5
Consider the sequence 6, 18, ....
a) Write an equation representing an arithmetic sequence
b) Write an equation representing an geometric sequence
c) If 150 is in the sequence, is it arithmetic or geometric?
a) t(n) = 12n – 6
b) t(n) = 2(3)n
c) Arithmetic (n = 13 vs. n = 3.93)
Every year since 1548, the average height of a human male has increased slightly. That increase is .05%. If the average male’s height was 54 inches in 1548, what is the average height of a male in 2018?
68.3 inches
(5 feet 8.3 inches)
Solve the system of equations:
y = 2x2 – 5x + 6
y = -2x2 – x + 30
(3, 9) and (-2, 24)