Solving Equations (Distributive Property)
Distribute
3(4x + 2)
What is:
12x + 6
True or False, m = -1.
3𝑚 + 5 = 8
What is:
False, m = 1
What is the difference between a parallelogram and a trapezoid?
Trapezoid only has 1 set of parallel sides while the parallelogram has 2.
What is any number raised to the 0 power equal to?
(example) 90
1
(2 - 4m)(-7)
-14 + 28m
A family goes to the movies on Friday and spends $71. Tickets cost $11 and there is a parking fee of $5. The equation 5 +11x = 71 represents this context.
What does the variable x represent?
x = # of tickets
Identify two different formulas for the circumference of a circle.
C = 2r*pi
C = d * pi
Solve.
29 * 2x = 214
x = 15
Solve the equation:
4(0.5𝑝 + 1.5) = 12
What is:
p = 3
Modeling Equations
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2a = 6
a = 3
Given the circumference, 25.12 in, determine the radius.
r = 4 in
[(2) 5 ] 2
What is: 210
Solve.
2.5 = 0.25(z - 8)
What is:
z = 18
A taxi charges $1.75 plus a fee of $0.75 per mile traveled. The cost of your trip was $14.50.
The equation $1.75 + $0.75𝑥 = $14.50 can be used to represent the situation. Solve.
𝑥 = 17
The circumference of a circle with a radius 8.25 in is 51.81 in2.
51.81 in
Solve.
(-9)8/(-9)2
96
Solve.
18 = 0.75(36.4 - n)
What is:
n = 12.4
Solve.
9.2 = 6.1 + ℎ/6
18.6 = ℎ
Given the diameter, 76.1 in, the area is 38.052*pi.
True
Solve for z.
(4z * 45)2 = 416
z = 3