Literal & Multi-Step Equations
Solve for x.
3x - 2y = xz + 5
x=(2y+5) / (3-z)
Write an equation in slope-intercept form with a point of (-2,5) and a slope of 4.
y = 4x + 13
There is a farm. It has pigs and chickens. There are 29 pigs and chickens combined. There are 80 feet in total. How many pigs and chickens are there?
11 pigs
18 chickens
Solve the quadratic.
24x2 - 168x +288
24(x - 4)(x - 3)
sqrt(x+5) - 2 = 5
x = 44
(10x(2.3+0.7)) / (10(4.6+1.4)) = 5
x = 10
Write in slope-intercept form.
The line passes through the points (9,6) and (7,3)
y = 3/2x + 3.5
Ms. Fortino is rowing a boat on a river (since she's awesome). When she goes upstream, she goes 3 miles per hour. When she goes downstream, she goes 7 miles per hour. What is the rate that Ms. Fortin rows the boat in still water (in MPH)?
5 mph
(2m)2 + (m + 2)2
5m2 + 4m + 4
Solve for x.
(sqrt(x^2+8x+16)) / (sqrt(9)+sqrt(900))=1/3
x = 7
Ms. Fortino has a trapezoidal garden that is 18 square feet. It has a height of 6 feet and one base length of 4 feet. Given the formula for the area of a trapezoid below, what is the length of the other base?
A = (a+b) / 2 (h)
2 feet
Write in slope-intercept form.
y + 3 = 3/2(x + 1)
y = 3/2x - 3/2
Solve.
5.23x + y = 7.48
6.42x - y = 2.11
(0.82, 3.17)
(5x + 2)2 - (3x)2
22x2 + 20x + 4
6sqrt(108)(3sqrt(27))
972
Write in slope-intercept form.
The line passes through the points (-7, -3) and (-3, 5)
y = -2x - 1
Solve.
10x + 10y = 2200
20x - 10y = 500
(90, 130)
Solve for a.
sqrt(a+5)+7=12
a = 20
Write in point-slope form.
The line passes through the points (6,2) and (3,5)
y - 2 = -1(x - 6)
The parent function f(x) = x2 is stretch vertically by a factor of 3 and reflected across the x-axis, and translated to the right by 2 units and up by 4 units. Write the new function in vertex form.
f(x) = -3(x - 2)2 + 4
Solve for x.
sqrt(11x)-2=sqrt(81)
x = 11