Expressions & Equations
The evaluated form of
4(6n + 7) when n = 6.
What is 172?
Eleven minus the square root of x when x = 64.
What is 3?
The slope and y-intercept of the line 6x + 3y = 18.
What is m = -2 and b = 6?
An equation (in slope-intercept form) of the line that passes through the point (-2, 9) and has a slope of -2.
What is y = -2x + 5?
The solution to the system:
5x + y = 4 and
6x - y = 7.
What is x=1 and y=-1? or (1, -1)
An equation to represent three times the difference of a number n and fifteen is equal to thirty.
What is 3(n - 15) = 30?
Expand and simplify: -7x(x - 13)
What is -7x2 + 91x?
The x-intercept and y-intercept of the line -2x + 5y = -20.
What is (10,0) and (0, -4)?
An equation (in standard form) of the line that passes through the points
(3, 9) and (1, 1).
What is 4x - y = 3? (or -4x + y = -3)?
The graph of x>4 and y<2.
(Graph). What is a shaded region to the right of a dashed vertical line at x=4 and below a dashed horizontal line y = 2?
True or false: x = 8 is a solution to the inequality 2x + 10 < 4x - 7. Explain.
What is False because 26 < 25 does not work!?
Evaluate: -16 - (-25.2)
What is 9.2?
The solution to the equation:
16x - 4 = 4(2x - 3).
What is x = -1?
An equation of a line (in slope-intercept form) that passes through (3, -3) and is perpendicular to the line y = x + 5.
What is y = -x?
Yes or No: (8, 5) is a solution to the system 5x - 4y = 20 and
3y = 2x + 1. (Explain.)
What is No, in the second equation 15 does not equal 17?
The perimeter of a rectangular banner that is 16 feet long and has an area of 80 square feet.
What is 42 feet?
True or False: If a number is positive, then its opposite is negative.
What is True?
The solution to the equation:
b/8 = 9/4.
What is b = 18?
The graph of y > 4x - 3.
(Graph). What is the half-plane shaded above a dashed line with a y-intercept of -3 and a slope of 4?
The graph of the system: x<3 and y>1 and y>-x.
(Graph). What is a shaded region to the left of the vertical line x = 3, above the horizontal dashed line y = 1, above the dashed line with a y-int of 0 and a slope of -1?
An equation and the total cost to represent the situation: You buy apples at $2 per pound and oranges at $3.50 per pound. You buy 7 lbs of apples and 4 lbs of oranges.
What is 2x + 3.5y = c and $28.00?
The height above ground of an elevator at its first stop when it moves at a rate of -5.8 ft/sec from a height of 500 feet above ground and it takes 6 seconds for the elevator to make its first stop.
What is 465.2 feet?
The graph of y = -x + 7.
(Graph) A line with a y-intercept of 7 and a slope of -1?
The number of t-shirts needed to break-even for a t-shirt company that sells t-shirts for $15 each and has costs of $6825 (for wages, taxes, insurance, rent, utilities, etc...) and purchases t-shirts for $2.50 each.
What is 546 t-shirts?
The solution to the system of equations:
2x + 9y = 16 and 5x = 1 - 3y.
What is x = -1 and y = 2? or (-1, 2)