pre algebra 2 1

Question 1 (5 points)

Graph each linear equation.

Question 1 options:

Question 2 (5 points)

Use the vertical line test to determine which of the following relations is a function.

Question 2 options:

Question 3 (5 points)

Find the slope of the line.

Question 3 options:

Question 4 (5 points)

Graph each linear equation.

Question 4 options:

Question 5 (5 points)

Determine if there is a proportional linear relationship. Explain your reasoning.

Question 5 options:

	decrease of 16 oz/lb
	increase of 16 oz/lb
	increase of 3 lb/oz
	increase of 32 oz/lb

Question 6 (5 points)

Determine if there is a proportional linear relationship. Explain your reasoning.

Time (h)	Temperature (°F)
x	y
0	52
1	54
2	56
3	58

Question 6 options:

	decrease of 2 °F/h
	increase of 2 h/°F
	increase of 3 °F/h
	increase of 2 °F/h

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 7 options:

	(7, 14); There are 14 students in the choir and 7 students in the drama club.
	(7, 14); There are 7 students in the choir and 14 students in the drama club.
	(14, 7); There are 14 students in the choir and 7 students in the drama club.
	(14, 7); There are 7 students in the choir and 14 students in the drama club.

Question 8 (5 points)

Graph each linear equation.

Question 8 options:

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 9 options:

	one solution (2, 2)
	infinitely many solutions
	no solutions
	no solutions

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 10 options:

	(32, 16); The width of the frame is 32 inches, and the length of the frame is 16 inches.
	(32, 16); The width of the frame is 16 inches, and the length of the frame is 32 inches.
	(16, 32); The width of the frame is 32 inches, and the length of the frame is 16 inches.
	(16, 32); The width of the frame is 16 inches, and the length of the frame is 32 inches.

Question 11 (5 points)

Graph each equation using the slope and the y-intercept.

y = –4
x – 2.5

Question 11 options:

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 12 options:

	$1.77
	$2.30
	$2.94
	$3.47

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 13 options:

	1.05 in.
	2.1 in.
	4.2 in.
	0.95 in.

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 14 options:

	$180
	$216
	$252
	$18

Question 15 (5 points)

Graph each equation using the slope and the y-intercept.

y = –2
x + 0.5

Question 15 options:

Question 16 (5 points)

Find the slope of the line that passes through the pair of points.

(1, 4), (–5, 4)

Question 16 options:

	undefined
	–2
	0

Question 17 (5 points)

Solve the system of equations.

y = 4
x – 4

y = 5
x

Question 17 options:

	(–4, –20)
	(–4, 20)
	(–20, –4)
	(4, –20)

Question 18 (5 points)

Find four solutions of the given function. Write the solutions as ordered pairs.

4
x –
y = 4

Question 18 options:

	{(8, 28), (–6, –28), (1, 0), (–2, –12)}
	{(8, 28), (–2, –28), (1, 0), (–6, –12)}
	{(8, 32), (–6, –28), (1, 4), (–2, –12)}
	{(7, 28), (–6, –28), (1, 32), (8, –12)}

Question 19 (5 points)

Solve the system of equations by graphing.

Question 19 options:

Question 20 (5 points)

Find the function value.

f(
x)
3
x – 6,
f(–4)

Question 20 options:

	–18
	–6
	–7
	5

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