Write and Identify Equivalent Expressions
Simplify the following expression:
8(3x+6)
24x+48
12 + x = -9. Which is a solution of the equation?
A. 7
B. 10
C. -21
C. -21
Solve for t. t + 3 = 5
t = 2
The equation y=5x represents the total cost, y, in dollars to rent a bicycle for x hours. How much does the total cost increase for each additional hour a person rents the bicycle?
The total increase $5 per hour.
What is the difference between an expression and equation?
A equation has an equal sign while an expression does not
Simplify the following expressions:
A. (5 x 3) + (5 x 2)
B. 0(3+2)
C. 8(4+8)
D. 7(3+4) -6
A. 15 + 10
B. 0 + 0
C. 32 + 64
D. (21+28) - 6
Use substitution to determine whether each value in the set {7,8,9} is a solution of the equation
28 = (x)(4)
7 is a solution. 8 and 9 are not.
Teresa has some photos on her computer Monday. On Tuesday, she downloads 24 new photos. Then she deletes 9 photos. She ends up with 33 photos.
A. Write an equation using the variable p for photos
B. Solve the equation.
A. p + 24 - 9 = 33
B. Teresa has 18 photos on Monday.
There are 5 hidden treasures in Level 1 of a smartphone game. Each of the other levels has 1 more hidden treasure than the previous level. How many hidden treasures are in Level 7?
11 hidden treasures.
Give 3 examples of a ratio
1. 6:4
2. 3:2
3. 9:6
The Romano family pays for a streaming movie service that cost 8 dollars per month. They want to add a second movie service for d dollars per month. Write two expressions for the total cost of both services for 3 months.
3(8+d) OR 24+3d
Cai write the equation a x b = c.
Is Cai's equation true when a is 4, b is 5, and c is 9? Explain your reasoning.
No; (4)(5) is 20. 20 does not equal 9.
What is the solution of the equation 7 + 5 = 4 + y
y = 8
An animal reserve is home to 8 meerkats. It costs the reserve $1.50 per day to feed each meerkat. Write an equation with two variables that can be used to determine the total cost of feeding the reserve's meerkats for any number of days.
c=12d
Give an example of a percent and its fraction form
A. x%
B. x/100
Which expressions are equivalent to 6a - a + 4b?
A. 10b
B. 9ab
C. 6 + 4b
D. 5a + 4b
E. (6 - 1)a + 4b
F. (6 x 1)a + 4b
D. 5a + 4b
E. (6 - 1)a + 4b
Write an equation with a solution of 8. Use the variable x and at least 3 terms in your equation. Explain why 8 is a solution?
Potential answer: x + 7 = 15. 8 +7 = 15 is a true statement, so the solution of the equation is 8.
Cameron buys a stapler. Then he buys 5 notebooks that cost $1.50 each. He spends $13.50 in all. Use the equation d + 5 (1.50) = 13.50 to find the number of dollars, d, that Cameron spends on the stapler.
Cameron spends $6 on the stapler.
A scientist is studying the digging behavior of black-footed ferrets.
A. One ferret digs 465 cubic centimeters of soil from a burrow in 5 minutes. Based on this digging rate, write an equation that can be used to predict the amount of soil, s, in cubic centimeters the ferret can dig from a burrow in m, minutes.
B. Which variable is the dependent variable in the equation?
A. s = 93m
B. s
What is absolute value?
The distance a number is from zero
Are the expressions 4(x + 1) - 1 and 2(x + 1) + 2x equivalent?
No, they are not equivalent
Mr. Ramirez writes the equation 1 + x = 7 and the set {2, 3, 6, 7} on the board. Tell if each value in the set is a solution of the equation and why?
6 is a solution. 2, 3, 7 is not a solution.
Alano sells popcorn at the movies. He arrives at work and sees there are some kennels in the popcorn bin. He pours in 4 more cups of kernels to fill the bin. Then he removes 1.5 cups of kernels. Now there are 6 cups of kernels in the bin. Write and solve equation to find out how many cups of kernels were in the bin when Alano arrived. Show your work.
There were 3.5 cups of kernels when Alano arrived.
A filter cleans the water in Santo's turtle tank. The equation y=2.5x models the relationship between the amount of water, y, in gallons that passes through the filter in x minutes.
A. Graph the relationship. Include a title on each axis.
B. How does the graph show the rate at which water passes through the filter? How is this related to the equation?
A. Graph
B. The graph shows that the water increases by 2.5 gallons per minute.
When was the solar eclipse this year?
April 8