Linear Equations
The sum of three consecutive integers is 51. What is the GREATEST integer?
18
|2x − 3| − 11 = 0
x = 7 or -4
Solve for h.
V = lwh
h = V/lw
PARALLEL, PERPENDICULAR OR NEITHER
y=4x+1
y=4x-3
PARALLEL
The sum of 2 consecutive EVEN integers is 26. What are the two numbers?
12 & 14
9 – 4x ≥ 5
or
4(–1 + x) – 6 ≥ 2
x ≤ 1 or x ≥ 3
Solve for b.
y = mx+b
b = y-mx
PARALLEL, PERPENDICULAR, OR NEITHER
y=2x+1
x+2y=2
PERPENDICULAR
The sum of 5 consecutive integers is 60. What is the LEAST number?
10
Brianna has a budget of $8 for a new notebook. She wants to spend within $5 of her budget, so she uses the equation 0 = |8 − x| − 5 to find the maximum and minimum values. What are the solutions to the equation?
3 & 13
y-y1=m(x-x1)
Solve for y.
y = m(x-x1)+y1
The equation of Line A is y = –x + 4. Write an equation of Line B that is parallel to Line A and passes through the point (3, 5).
y=-x+8
Darren and his two siblings' ages are three consecutive ODD numbers. If the sum of their ages is 51, what are the three ages?
15, 17, 19
PLOT ON A NUMBER LINE.
x − (5 − 3x) ≤ 2x – 1
closed circle on 2, arrow going left
In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. This law is represented by the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Select all the equations that are equivalent to the formula PV = nRT.
P = nRT/V
V = nRT/P
n = PV/RT
R = PV/nT
T = PV/nR
Write an equation of a line that is perpendicular to the line y = 2/5x – 1 and passes through (2,5).
y=-5/2x