Properties of Equations
Tell which value of the variable is the solution to the equation.
d + 9 = 25
d = 6, 14, 16, 21
d = 16
Solve for x:
8x = 64
x = 8
Write an inequality for the situation:
The distance of a race is at least 6.2 miles.
d > 6.2 OR 6.2 < d
Identify the dependent and independent variable.
The distance traveled 'd' and the speed 's.'
Dependent: distance
Independent: speed
Page 257, Lesson 4-9, #1
y = x÷2 or y = x/2
Missing values: 8 and 10
Tell which value of the variable is a solution to the equation.
150 ÷ h = 50
h = 2, 3, 4, 5
h = 3
Solve for x:
x - 17 = 13
x = 30
What inequality is represented on a number line by a circle on a 4, shaded to the left?
x < 4
Identify the dependent and independent variable.
The amount of money spent 's' and the amount of money you have left 'm.'
Dependent: m
Independent: s
What equation relates the variables x and y in the following ordered pairs?
(3, 12); (4, 16); (5,20); (6, 24); (7, 28)
y = 4x
Given the equation 4n = 14, identify all of the equations that are equivalent.
A: 4n + 3 = 14 + 3
B: 4n ÷ 4 = 14 • 4
C: 4n - 5 = 14 - 4
D: 4n • 10 = 14 • 10
E: 4n + 33 = 15 + 33
A and D
Solve for x:
x ÷ 12 = 2
x = 24
What inequality is represented on a number line by a circle on a 13, shaded to the right?
x > 13
Identify the dependent and independent variable.
The calories a serving of food has 'c' and the size of the serving 's.'
Dependent: c
Independent: s
Page 257, Lesson 4-9, #2
7 13 19 25 31
Which value of f makes the equation true?
f - 13.2 = 28.9
f = 38.7, 42.1, 45.8, 51.4
f = 42.1
Solve for x:
x + 21.9 = 27.1
x = 5.2
Select all of the solutions to the inequality x > 0.8
A: 0.4
B: 0.9
C: 1
D: 0.07
E: 0.8
B and C
Identify the dependent and independent variable.
The number of pizza slices remaining 'r' and the number of pizza slices eaten 'e.'
Dependent: r
Independent: e
Page 258, #1a
Missing numbers in table: 6, 12, 18.
The team member jogged 21 miles in 3.5 hours.
Select all of the equations that are true for x = 11.
A: 22 ÷ x = 11
B: 22 ÷ 2 = x
C: 22 - x = x
D: 22 + x = 11
E: 22 • x = 242
B, C, and E.
Solve for x:
12x = 19.2
x = 1.6
The tallest "t" a person can be to ride an amusement park ride is 72 inches. What inequality represents this situation?
t < 72
Identify the dependent and independent variable.
The amount of time it takes to finish a test 'f' and the amount of time you studied 's' for the test.
Dependent: f
Independent: s
Page 258, #2
$1,025