A picture frame is 112 inches wider than the picture it holds. Let f = width of the frame. Let p = width of the picture. Find f if p is 1, 2, and 3.
f=p+1 1/2
1 = 2 1/2
2= 3 1/2
3= 4 1/2
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 an equation for Stacy's collection of cards.
y = 2x + 3
The middle school drama club is planning a picnic. The cost of food foreach person attending the picnic is $6.50. The club’s budget includes $150 for food for the picnic. Write an inequality to represent the number of people, p, who can attend the picnic if the club stays within its food budget.
6.50p is less than or equal to 150
During a road trip, Sterling keeps track of the time he spends driving, t, and the distance he drives, d. What are the dependent and independent variables?
Variable d is the dependent variable
Variable t is the independent variable
The points (3,9) and (-3,-9) are plotted on the coordinate plane using the equation y = a x b. What is the value of a?
a = 3
Alexis wrote 28 - 8 = 20. Then she wrote 28 - 8 + q = 20 - q. Are her equations balanced? Explain.
No, Alexis added q to one side of the equation, but subtracted q from the other. The equations are not balanced.
What is the value of x in the equation x - 3/4 = 5 1/6?
x = 5 11/12
Dimitri wrote the equations y = 3x and y = x + 3. Which equation represents the graph? (Mrs. Florio will show you)
y = 3x
Choose all the equations that are true if x = 8.
7/9x = 6 2/9
x + 11.5 = 20.5
23.42 - x = 15.42
11x = 88
40/x = 6
7/9x = 6 2/9 A
23.42 - x = 15.42 C
11x = 88 D
To use the weight machines at a health club, you must be at least12 years old. Brandon writes the inequality a 7 12, where a represents age in years, to represent this. Is Brandon correct? Explain.
No; Sample answer: Twelve-year-olds can use the weight machines, so a greater than or equal to 12.
Draw a graph that represents the solutions of the inequality m greater than 4?
Closed circle on 4 arrow pointing to right (positive)