Cartesian Plane
Exponents and Powers
Graphing Linear Equations
Polynomials
Word Problems
100
Write the equation of the line with slope 4/5 that passes through the point (3,4). (Write the answer in point-intercept form)
What is y - 4= 4/5x (x - 3) What is y = 4/5x + 8/5
100
Express the following as a power of 3: 3^5 x 3^4 x 3^-2
What is 3^7?
100
Convert the following line into slope-intercept form: 7x - 4y = -4
What is y = 7/4x +1?
100
Write out the product of the following expression and simplify: (2x - 3)(x + 4)
What is 2x^2 + 5x - 12?
100
One leg of a right triangle is 2 inches longer than the other leg. If the area of the triangle is 24 square inches, what is the length of the shorter leg?
What is 6 inches?
200
Write the equation of a vertical line that passes through the point (-3, -4).
What is x = -3
200
Express the following as a power of b: b^4/ b^5
What is b^-1?
200
The slope of line -5x + -9y = 8 is ___________________.
What is -5/9?
200
The acronym F.O.I.L. applies to multiplying what two types of polynomials?
What is two binomials?
200
Two months ago, Roy joined a wellness center that charges a flat fee of $75 per month, which allows unlimited access to the gym and to the pool. Also available are special classes, such as yoga, that have an additional fee of $15 per class. The monthly cost is represented by C = 15x + 75. What does the y-intercept represent?
What is the flat monthly fee of $75?
300
Given two points (3, 4) and (5, 6), the slope m = ________________.
What is 1?
300
The expression a^-x can also be written out as _______________.
What is 1/a^x
300
Find the y-intercept fo the following line: y = 8x + 7/6.
What is (0, 7/6)?
300
Simplify the following expression: 2xy + 3x^2y - 1/2xy^2 + 3/4xy + 2x^2y- xy
What is 7/4xy + 5x^2y - 1/2xy^2
300
The function h(t) = -16t^2 + 30t+ 7 can be used to study what happens when a basketball player tries to make a basket. In the relationship, h represents the height of the ball above the ground and t represents the time in seconds. What is the independent variable for this function?
What is t?
400
A line perpendicular to the line y = 3/8x + 9 passes through the point (7, 4). Write the equation of this line in point-slope and point-intercept forms
What is y - 4 = -8/3 (x - 7) y = -8/3x + 68/3
400
Simplify the following expression: 12^2x/ 3, if x = 0
What is 1/3?
400
Find the y-intercept of a line that passes through (-7, -2) and is perpendicular to the following line: y = -3x - 2/3
What is (0, 1/3)?
400
Multiply the following polynomials and simplify: (3x + 2) (x^2 + 2x - 1)
What is 3x^3 + 8x^2 + x - 2?
400
Three consecutive even integers whose sum is less than 300 could be represented by what equation?
What is n + (n +2) + (n + 4) < 300?
500
Create a diagram and label the x- and y-axes, the origin, and each of the four quadrants. Label a theoretical point (a, b) in which a > 0 and b > 0.
What is (teacher will approve)
500
The law of exponents dictate that (a^b)^c = ____________.
What is a^bc?
500
Solve for y in the first equation and "plug it into" the second equation in the following system: x - 4y = 1 2x - 11 = 2y
What is 2x - 11 = (1/4 (x-1))?
500
Which of the following is a quadratic binomial?/ x^3 + 3x x^2 - 2x + 1 x^2 + x
What is x^2 + x?
500
The cost of a chicken-dinner special is given by the linear relationship C(s) = 3.25s + 9.00. In this relationship, C(s) represents the cost of the dinner and s is the number of side dishes. What does the slope represent?
What is the cost of each side dish?
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