Equations and Properties of Equality
Which value of the variable is the solution of the equation?
a + $5.92 = $12.29 a = $5.37, $5.47, $6.37, $6.27
a= $6.37
p ÷ 4.5 = 6.1
What is the value of p?
p=27.45
Write an inequality for:
Up to 30 students, s, can ride in a bus
s ≤ 30
Which is the dependent variable and which is the independent variable?
The number of minutes, m, of exercise, and the number of calories, c, burned during exercise.
IV: number of minutes of exercise, m
DV: calories burned, c
Stacy has 3 collector’s cards. She receives 2 more cards each week that she volunteers
at the student center.
Let x = the number of weeks.
Let y = the number of collector’s cards.
Write the equation that represents this problem.
y = 2x + 3
You know: 13 + 7 = 20. Therefore: 13 + 7 + 2 = 20 + 2.
Which Property of Equality was illustrated?
Addition Property of Equality
Stan worked 4 years less than Marco. This year Stan has worked 29 years. If b is how long Marco worked, the equation b – 4 = 29 represents this situation. How can you get the variable alone on one side of the equation?
Add 4 to both sides
Graph t < 6 on a number line.
Mrs. White will draw it :)
Every week, Michelle is paid d dollars for having worked h hours. Which statement describes the relationship between d and h?
A. d is the dependent variable because h affects the number of dollars Michelle earns.
B. d is the dependent variable because d affects the number of hours Michelle works.
C. d is the independent variable because h affects the number of dollars Michelle earns.
D. d is the independent variable because d affects the number of hours Michelle works.
A. d is the dependent variable because h affects the number of dollars Michelle earns.
The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x.
What is the value of a?
a = 3
Which equation is equivalent to x + 8 = 21?
A.(x + 8) × 4 = 21
B.(x + 8) × 4 = 21 ÷ 4
C.(x + 8) × 4 = 21 × 2
D.(x + 8) × 4 = 21 × 4
D.(x + 8) × 4 = 21 × 4
A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c = the cost of each jacket.
Write an equation to represent the situation and find the value of c.
c x 36 = $1,116
c= 31
Write 3 possible values of y for the he inequality y > 0.3.
Answers vary, but numbers must be less than 0.3 and cannot be equal
The dependent variable, g, represents the gas mileage for a vehicle. Write two possible independent vaiables
for this situation?
Answers vary-- the IV must affect the gas mileage of the car
A picture frame is 1 1/2 inches wider than the picture it holds.
Let f = width of the frame
Let p = width of the picture
If the p=3, what is the width of the frame?
4 1/2 inches