Linear Functions
Linear Equations and Inequalities
System of Equations
Quadratic Functions and Equations
Exponents/Polynomials
100
The values in the table represent a linear relationship between x and y.
What is the rate of change of y with respect to x?
10
100
What is the solution to
4(y − 3) + 19 = 8(2y + 3) + 7
y=-2
100
How many solutions does the following system have?
3x+5y=30
y=-3/5x+6
Infinitely many solutions
100
What are the zeros of
g(x)=x^2-6x-16?
-2 and 8
100
(8xy)^0
1
200
What is the equation in slope-intercept form of the line that passes through the points
(−26, −11) and (39, 34)?
y=9/13x+7
200
What is the rate of change of the contractor's total earnings in dollars with respect to the number of hours worked?
$8.75 per hour
200
What is the value of y in the solution to this system of equations?
6y+x=-59
x=-2y+9
-17
200
A ball is placed in a machine that throws the ball up in the air. The table represents some points on the graph of a function that models the ball’s distance from the ground with respect to the time since the ball has been thrown.
What is the range for this situation?
(a) All real numbers less than or equal to 7.66
(b) All real numbers less than or equal to 1.25
(c) All real numbers greater than or equal to 0 and less than or equal to 7.66
(d) All real numbers greater than or equal to 0 and less than or equal to 1.25
(c) All real numbers greater than or equal to 0 and less than or equal to 7.66
200
((4x^8)/(7x^7))^3
64x/343
300
The graph of a linear function is shown on the grid.
What is the equation that best represents this graph in slope-intercept form?
y=-2/3x+4
300
The value of y is directly proportional to the value of x.
When x = 3.5 and the value of y is 14.
What is the value of y when x = 28?
112
300
Write the inequality that represents the following graph.
y>3/4x-4
300
What is the solution set for
2x^2+15=-11x?
{-3, -2.5}
300
(-2m^8n^3)(-12m^4n)
24m^12n^4
400
Rewrite the following equation in slope – intercept form.
y+3=−2.5(x+14)
y=−2.5x−38
400
What is the equation that represents the following set of points?
f(x)=26x−52
400
What is the solution to this system of equations?
0.2x+0.6y=3.6
y=4/9x+4/3
(6, 4)
400
What is the factored form of
2x^2-25x+63?
(x−9)(2x−7)
400
12^(1/2)
sqrt(12)
500
What is the equation of the line shown?
y = 2.5
500
Rewrite the following linear inequality in slope-intercept form.
3x-4y>=24
y<=3/4x-6
500
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.
- Each black-and-white copy cost $0.08.
- Each color copy cost $0.15.
Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop?
b+c=68
0.08b+0.15c=6.00
500
What is the vertex of the following quadratic function?
f(x)=-1/2(x-5)^2+8
(5, 8)
500
((5x^17)/y^8)*((3x^14)/x^4)
(15x^27)/y^8