Maddy solves the equation -2.5 ( x - 4 ) = -3x + 4 for x. Some of his steps are shown
Step 1: -2.5x + 10 = -3x + 4
Step 2: -2.5x + 10 = -3x + 4
Step 3: .5x + 10 = 4
Step 4: .5x = -14
Which of the following statements BEST describes what Lloyd did to get from Step 3 to Step 4?
Question 2
2.
Solve the equation correctly. MUST SHOW WORK.
3 (1 + 5x) - 4 = -4 (-2x - 5)
Question 3
3.
Sadie, Logan and Ava each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked.
Sadie: 4(2h + 4)
Logan: 7.25h + 20
Ava: 8h + 24
How many hours will Sadie and Ava have to work in order to make the same amount of money in one week? Write and solve an equation.
Question 4
4.
A rectangle has a length of (x+5) inches and a width of x inches. If the perimeter is 50 inches, what is the length of the rectangle? MUST SHOW WORK
Question 5
5.
What is the domain of the graph shown below?
Question 6
6.
What is the range of the graph shown below?
Question 7
7.
What are the slope and y-intercept of the line 3x – 2y = 12?
Hint: change to slope-intercept form (y=mx+b) MUST SHOW WORK
Question 8
8.
The table shows pairs of values for a linear function.
A different function is defined by the equation y = -2x. Which of the following statements is TRUE?
Question 9
9.
A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?
Question 10
10.
Deidra is saving money to purchase a gift card for her best friend. She has $2 and plans to deposit $3 each week. Which graph represents the amount of money she plans to save over the next few weeks?
Question 11
11.
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour.
Write an equation representing the cost, y, of the boat rental in terms of x hours.
Question 12
12.
What is the rate of change? MUST SHOW WORK
Question 13
13.
What would the line of best fit reveal about this data set?
Question 14
14.
Sharon made a scatter plot comparing the shoulder heights of dogs to their weights.
Sharon’s dog has a shoulder height of 28 inches. Using a linear model, which is the best prediction of her dog’s weight?
Question 15
15.
Chose the equation for a line that passes through (2,-3) and has a slope of m= -4.
**Point-Slope Formula:
Question 16
16.
What is the y-intercept of the line? Write your answer as an ordered pair (x,y)