pre algebra 2 1
Question 1 (5 points)
Graph each linear equation.
Question 2 (5 points)
Use the vertical line test to determine which of the following relations is a function.
Question 3 (5 points)
Find the slope of the line.
Question 4 (5 points)
Graph each linear equation.
Question 5 (5 points)
Determine if there is a proportional linear relationship. Explain your reasoning.
Question 6 (5 points)
Determine if there is a proportional linear relationship. Explain your reasoning.
Time (h) |
Temperature (Â°F) |
x |
y |
0 |
52 |
1 |
54 |
2 |
56 |
3 |
58 |
Question 7 (5 points)
There are a total of 21 students in the choir and the drama club. There are 7 more students in the choir than the drama club. Write and solve a system of equations to represent this solution. Let x represent the number of students in the choir, and let y represent the number of students in the drama club. Interpret the solution.
Question 8 (5 points)
Graph each linear equation.
Question 9 (5 points)
Determine whether the system of equations has one solution, no solution, or infinitely many solutions by graphing. If the system has one solution, name it.
Question 10 (5 points)
The length of a rectangular picture frame is twice the width. The frame has a perimeter of 96 inches. Write and solve a system of equations to represent this solution. Let x represent the width of the frame, and let y represent the length of the frame. Interpret the solution.
Question 11 (5 points)
Graph each equation using the slope and the y-intercept.
y = â€“4
x â€“ 2.5
Question 12 (5 points)
The amount of sales tax varies directly with the cost of the purchase. If the sales tax is $3.80 on a purchase of $76, what would be the sales tax on a purchase of $46?
Question 13 (5 points)
The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches 2.1 inches when 80 pounds is attached, how far will it stretch when 40 pounds is attached?
Question 14 (5 points)
The cost of tickets varies directly with the number of tickets. Suppose 7 tickets cost $126. How much would 12 tickets cost?
Question 15 (5 points)
Graph each equation using the slope and the y-intercept.
y = â€“2
x + 0.5
Question 16 (5 points)
Find the slope of the line that passes through the pair of points.
(1, 4), (â€“5, 4)
Question 17 (5 points)
Solve the system of equations.
y = 4
x â€“ 4
y = 5
x
Question 18 (5 points)
Find four solutions of the given function. Write the solutions as ordered pairs.
4
x â€“
y = 4
Question 19 (5 points)
Solve the system of equations by graphing.
Question 20 (5 points)
Find the function value.
f(
x)
3
x â€“ 6,
f(â€“4)