Algebra Milestone

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Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?

• y = -1/2x + 6

• y = 1/2x + 6

• y = -2x + 6

• y = 2x + 6

What is an equation of a line that is perpendicular to the line whose equation is 2y = 3x - 10 and passes through (-6,1)?

• y = -2/3x - 5

• y = -2/3x - 3

• y = 2/3x + 1

• y = 2/3x + 10

What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x - 6y = 15 (Point- Slope Form)?

• y - 9 = -3/2 (x - 6)

• y - 9 = 2/3( x- 6)

• y + 9 = -3/2 (x + 6)

• y + 9 = 2/3 (x + 6)

Solve the following system of equations:
3a + 2b = 2
-2a + b = 8

• (-2, 2)

• (4, -2)

• (2, 4)

• (-2, 4)

Peter had a starting balance of $482.32 in his checking account. Which equation shows how to find his balance, b, after he withdrawals $45?

• b = $482.32 + $45

• b = $482.32 - $45

• b = $482.32 x $45

• b = 3A - a - c
• b = -3A + a - c
• b = -3A - a - c 
• b = 2A - c

You bike for 2 hours at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents the possible numbers of miles you bike.

• X ≤ 17.6

• X ≥ 17.6 

• X ≥ 35.2 

• X ≤ 35.2

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping. 

• X > 5.05

• X ≥ 5. 05

• X > 69.95

• X ≥ 69.95