Lines, slopes and
vertical intercepts
vertical intercepts
The solution to 2t-11=5t+4.
-5
The power of a in the simplified form of the expression (3a2b3)24a3b5.
7
x2-5x+6=(x-p)(x-q) for these values of p and q.
3 and 2
This value of x will result in the least value of the expression (x-11)2.
11
For a birthday party, a family budgeted for cupcakes at a cost of $5 a cupcake. However, on the day of the order the cupcakes were on sale at $3.50 a piece. This allowed them to order 30 more cupcakes, for a total of this many.
100
The value of y that solves 2y+1=32.
4
The quadratic equation in the form x2+bx+c=0 that has the solutions 2 and 5.
x2-7x+10=0
2a
The equation 3(5-2x)=-6x+m has infinitely many solutions for this value of m.
15
(1/2)8=4x for this value of x.
-4
If x2-y2=11, and x and y are positive integers, then the larger of the two is this number.
6
The roots of 2x2-3x+1=0.
1/2 and 1.
The vertical intercepts of the lines through the points (1, 4) and (-2, 7).
5
271/3=x1/2 if x is this number.
9
The solutions of x3-4x=0.
-2, 0 and 2
If c is bigger than this number, then the equation x2-6x+c=0 has no solutions.
9
The lines y=3x-7 and 2y+4=x intersect at this point (no desmos allowed).
(2, -1)
$1,000 invested into an account with a semiannual compounded interest of 4% APR will be worth this much after a year and a half.
$1,088
x2+6x+13=(x+p)2+d for this values of p and d
A ball falling from height 400 m will take this long to hit the ground.
20